The coordinates (0,a) and (b,0) lie on the line 5x - 3y = 15 what are the values of a and b?

Answers

Answer 1

Answer:

a = -5

b = 3

======================================================

Work Shown:

Plug in x = 0 to find the y intercept value.

5x-3y = 15

5(0) - 3y = 15

-3y = 15

y = 15/(-3)

y = -5 which is the value of 'a'

--------------------

Plug in y = 0 to find the x intercept value.

5x-3y = 15

5x-3(0) = 15

5x = 15

x = 15/5

x = 3 is the value of b

The straight line 5x-3y = 15 goes through the two points (0,-5) and (3,0). You can use graphing software such as Desmos or GeoGebra to confirm this.


Related Questions

In AABC, b = 620 cm, ZC=106° and ZA=48°. Find the length of a, to the nearest
centimeter.

Answers

The length of A in the triangle is obtained as follows:

a = 282.74 cm.

How to obtain the missing side length?

The first step in obtaining the missing side length is obtaining the measure of the missing angle.

The sum of the measures of the internal angles of a triangle is of 180º.

The angle measures for this triangle are given as follows:

106º.48º.26º. (as the sum of the three measures is of 180º).

Then we have that:

The length of 620 cm is opposite to the angle of 106º.The length of a is opposite to the angle of 26º.

Then the length of a is obtained applying the law of sines as follows:

sin(26º)/a = sin(106º)/620

Applying cross multiplication, we have that:

a = 620 x sin(26º)/sin(106º)

a = 282.74 cm.

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Answer:

the real answer is 1051

Step-by-step explanation:

Which equation is parallel to the equation y = x + 1 and goes through the points (1, 5)

A. y=x+5

B. y=x-1

C. y=x+1

D. y=x+4

Answers

Answer: D. y=x+4

Step-by-step explanation:

1. The equation will have the same slope

2. Plug in the given point to find b, the y-intercept

PLEASE THIS IS SERIOUS

Solve for x

Answers

It 5 I solve it in a paper

Suppose Mr. Reed's class has 3 hours for presentations.
How many projects can be presented? Show your
solution by writing both a division equation and a
multiplication equation.

Answers

In 3 hour  Mr. Reed can presents 15 presentations.  The division equation and a multiplication equation are 3 ÷ 1/5 =15 and 3 × 5 = 15 respectively.

What is an equation of division?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety. The division operator and the numbers that are being divided will both be on one side. The other side displays the result of the division.

The 3 large rectangles represent the 3 hours.

Each presentation is 1/5 hour so each rectangle is divided into 5 equal sections.

From the model you can write the division equation: 3 ÷ 1/5 =15

You can also write the multiplication equation: 3 × 5 = 15

Both equations show 15 projects are presented in 2 hours.

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Express the confidence interval (0.008, 0.094) in the form of p^ - E < p < p^ + E


_ < p < _

Answers

Answer: A confidence interval is a range of values that is estimated to contain the true value of a population parameter with a certain level of confidence. In the case of the given confidence interval (0.008, 0.094), the interval is estimated to contain the true value of the population parameter with a confidence level of 95%.

To express this confidence interval in the form of p^ - E < p < p^ + E, where p^ is the point estimate of the population parameter and E is the margin of error, we first need to find the point estimate of the population parameter. The point estimate is the midpoint of the confidence interval, which is found by taking the average of the lower and upper bounds of the interval. In the case of the given confidence interval, the point estimate is (0.008 + 0.094) / 2 = 0.051.

The margin of error, E, is found by subtracting the point estimate from the upper and lower bounds of the confidence interval. In the case of the given confidence interval, the margin of error is 0.094 - 0.051 = 0.043 for the upper bound, and 0.051 - 0.008 = 0.043 for the lower bound.

Thus, the given confidence interval can be expressed in the form of p^ - E < p < p^ + E as 0.051 - 0.043 < p < 0.051 + 0.043, which simplifies to 0.008 < p < 0.094. This is the same as the original form of the confidence interval.

What is the process for doing the method of elimination for math systems?

Answers

Answer:

Elimination is the adding or subtracting of two equations used to solve them.

Step-by-step explanation:

Elimination is the adding or subtracting of two equations used to solve them.

Say you have this equation. [tex]\left \{ {{x + y=2} \atop {-x+y=6}} \right.[/tex]

Notice that the x in both equations are opposites. After adding together we get.

x + y - x + y = 2 + 6

2y = 8

y = 4

x + 4 = 2

x = - 2

(- 2,4)

Say you decide to subtract the equations.

[tex]\left \{ {{x+y=2} \atop {x+2y=8}} \right.[/tex]

x + y - x - 2y = 2 - 8

- y = - 6

y = 6

x + 6 = 2

x = - 4

(- 4, 6)

You can also multiply equations to make it easier to substitute.

[tex]\left \{ {{y+x=4} \atop {-2y+2x=8}} \right.[/tex]

[tex]\left \{ {{2y+2x=8} \atop {-2y+2x=8}} \right.[/tex]

2y + 2x - 2y + 2x = 8 + 8

4x = 16

x = 4

y + 4 = 4

y = 0

(4, 0)

See the attached image.

Answers

The value of x will be 1.17 inches and the maximum volume of the box is 1.6 cubic inches.

What is volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.

Given that the rectangular box is made from cardboard the thickness is x.

The length of the box will be,

L = 4.5 - 3x

The width of the box will be,

W = 4 - 2x

The thickness of the box is,

H = x

The volume of the box will be calculated as,

V = ( 4.5 - 3x) ( 4 - 2x ) (x)

V = ( 4.5 - 3x) ( 4 - 2x ) (x)

V = ( 18 - 12x - 9x + 6x² ) x

V = 6x³ -21x² + 18x

For maximum volume differentiate the volume with respect to x and get the value of x,

dV / dx = d / dx (  6x³ -21x² + 18x ) = 0

d / dx (  6x³ -21x² + 18x ) = 0

18x² - 42x + 12 = 0

3x² - 7x + 6 = 0

Solve the above quadratic equation as,

x = [ -b ±√(b² - 4ac) ] / 2a

x = [ -7 ± √ (-7² - 4 x 3 x 6 ) ] / ( 2 x 3 )

x = 1.17

The value of x is 1.17 inches by solving the above quadratic equation. The maximum volume will be calculated as,

V = 6x³ -21x² + 18x

V = 6(1.17)³ -21(1.17)² + 18(1.17)

V = 9.6 - 28.7 + 21.06

V = 1.96 cubic inches

The maximum volume is 1.96 cubic inches and the value of x is 1.17 inches.

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Penny has 4 books she wants to read. If she randomly chooses one to read at a time, in how many different
sequences could she read all the books?
Your answer is :

Answers

Answer:

24

Step-by-step explanation:

referring to question 28, what is the value of a difference such that 60% of the age differences are less than it?

Answers

A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.

what is age difference ?

If the age is expressed as a ratio, such as p:q, then qx and px are taken into account as the age. If you assume that you are x years old now, then n times that number is (xn) years. If you're assuming that x is the current age, then 1/n of that number will equal (x/n) years.

calculation

Let's say there is an age difference of x and y,

in which case the answer to question 28 should be 2.03 years:

(x-y)*60/100.

A gap of 2.03 years has a value such that 60% of age disparities are smaller than it.

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A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true?

Answers

The true statements about the image of the parallelogram are,

The corresponding sides have different lengths.

The parallelograms are congruent.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A parallelogram in a coordinate plane is translated, rotated, and then reflected.

In the case of translation, rotation and reflection would only change its coordinate points, and the preimage and image will be congruent.

The coordinate points of the vertices would only change if given.

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the function f(x) goes through the point (-2,6). which of the following translation of f(x) will go through the point (3,5)?

option 1; f(x-5)+1
option 2; f(x+5)-1
option 3; f(x-5)-1
option 4; f(x+5)+1

Answers

Answer:

Option 3:  the function that goes through the point (3, 5) is f(x-5)-1

Step-by-step explanation:

To find which function goes through the point (3, 5), we can substitute 3 for x and solve for the value of f(x).

For option 1, f(x-5)+1, we have:

f(3-5)+1 = f(-2)+1 = 6+1 = 7

For option 2, f(x+5)-1, we have:

f(3+5)-1 = f(8)-1 = ?

For option 3, f(x-5)-1, we have:

f(3-5)-1 = f(-2)-1 = 6-1 = 5

For option 4, f(x+5)+1, we have:

f(3+5)+1 = f(8)+1 = ?

A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 7 inches per year. Type B is 3 feet tall and grows at a rate of 19 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

Answer:

7 years

Step-by-step explanation:

First, create expressions to represent the problem:

[tex]a(x) = 10(12) + 7x \\ b(x) = 3(12) + 19x[/tex]

Simplify:

[tex]a(x) = 120 + 7x \\ b(x) = 36 + 19x[/tex]

Now make the expressions equal to each other and solve:

[tex]120 + 7x = 36 + 19x \\ 84 = 12x \\ x = 7[/tex]

The answer is 7 years

Find the length of bd

Answers

The length of Line BD will be 13.8

What is a Triangle?

A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same.

Types of TriangleEquilateralScaleneIsoceles

From Triangle ABC, we find out it is equilateral (all sides equal)

Therefore CD = 8 (half the length of AC)

Using Pythagoras' theorem

[tex]BC^{2} = BD^{2} + DC^{2}[/tex]

[tex]18^{2} = BD^{2} + 8^{2}[/tex]

[tex]BD^{2} = 256 -64[/tex]

[tex]BD^{2} = 192[/tex]

[tex]BD =\sqrt{192}[/tex]

BD = 13.8

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Evaluate the function below for x = 2.
F(x) = 2x³-x²-5x+6
OA. 56
OB. 16
OC. 4
O D. 8

Answers

Evaluating the function for x=2, F(x)= 8.

What is a linear equation?

Alternatively, a linear equation can be obtained by equating the linear polynomial over the field from which the coefficients are taken to zero.

The solution of such an equation is the value that makes the equation true when the unknowns are substituted.

If there is only one variable, there is only one solution. Often the term linear equation alludes to this special case where the variables are appropriately called unknowns.

With two variables, each solution can be interpreted as the Cartesian coordinates of a point on the Euclidean plane. The solutions of linear equations form lines in the Euclidean plane. Conversely, each line can be viewed as the set of all solutions to linear equations in two variables. This is the origin of the term linear for these types of equations. More generally, the solution of a linear equation in n variables forms a hyperplane (a subspace of dimension n − 1) in the Euclidean space of dimension n.

Therefore, Evaluating the function for x=2, F(x)= 8.

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Solve the following inequality

Answers

Hope that help, feel free to ask or comment.

in triangle ABC, AB = 6 cm, BC = 13cm and angle ACB = 23 degrees. Calculate angle BÁC, which is obtuse.

Answers

Answer:

[tex]\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]

Step-by-step explanation:

[tex]\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}[/tex]

What i the value?
1/4 - 1/2 ( - 4/7)
Anwer
1) - 1 5/16
2) - 3/7
3) 3/7
4) 1 5/16

Answers

Answer:

None of these

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{1}{2} \cdot \frac{4}{7}=\frac{1}{4}+\frac{4}{14}=\frac{1}{4}+\frac{2}{7}=\frac{7+8}{28}=\frac{15}{28}[/tex]

Select the number of the algebraic expression for "The room capacity does not exceed 250".


c>250

c≥250

c<250

c≤250

c≠250

Answers

The algebraic expression for "The room capacity does not exceed 250" is D. c≤250

How to illustrate the inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

It should be noted that "the room capacity does not exceed 250" simply means it should be less than or equal to 250. This will be c≤250.

In conclusion, the correct option is D.

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Sandy uses three and one half pounds of clay to make 7 small vases. Use a proportion to find how many pounds of clay she will use to make 21 small vases.

Answers

Answer: 10.5 pounds of clay

Step-by-step explanation:

We know she uses three and one-half pounds of clay to make seven small vases.

3 1/2 = 3.5

21 is 3 times 7

So We take 3.5 times 3 = 10.5 pounds of clay

she will use 10.5 pounds of clay to make 21 small vases.

A) a wooden block is formed in a the shape shown by cutting a right rectangular solid from a larger one. What is the volume of the block


B) check your calculations by using a second method to solve the problem

Answers

The volume of the rectangular block in this problem is given as follows:

1300 cm³.

How to obtain the volume of the block?

The block is a rectangular prism, hence it's volume is given by the multiplication of it's dimensions, as follows:

V = length x width x height.

The dimensions for this block are given as follows:

Length: 16 cm.Width: 10 cm.Height: 10 cm.

However, there is a small rectangular block that is removed from the prism, with the dimensions given as follows:

Length: 6 cm.Width: 10 cm.Height: 5 cm.

Hence the volume of the rectangular block can be calculated as follows:

V = 16 x 10² - 6 x 5 x 10 = 1300 cm³.

(total volume subtracted by the removed volume from the empty space at the middle).

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I need help!! Please if you know how!!

Answers

Answer:

Step-by-step explanation:

Answer: 2

Answer:2

Step-by-step explanation:

Mabel is creating a mural on a building wall that is 40ft tall and 50ft wide. Her original drawing is 2ft tall and 2.5ft wide. What scale factor will Mabel use to enlarge the design?

Answers

Answer:

Mabel will use scale factor of 20 to enlarge the design.

{ If you do need explanation, Please inform me.}

a wheel is 18 inches in diameter. suppose the wheel turns at a constant rate of 14.8 rev/sec. what distance has a point on the tire traveled through after 3.5 seconds, rounded to the nearest tenth of an inch?

Answers

In 3.5 seconds the tire covered a distance of 2927.74 inches.

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A wheel is 18 inches in diameter and the wheel turns at a constant rate of 14.8 rev/sec.

So, the radius is (18/2) = 9 inches.

Therefore the distance around the circle is (9) inches.

= 6.52 inches.

So, In per second, the tire covers a distance of (6.52×14.8) inches.

= 836.50 inches.

Therefore in 3.5 seconds, the tire covers a distance of (836.5×3.5) inches.

= 2927.74 inches.

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If a is an odd number, b an even number, and c an odd number, which expression will always be equivalent to an odd number?

Answers

If a is an odd number, b is an even number, and c is an odd number, then the following expressions will always be equivalent to an odd number:

a + c
a - c
c + a
c - a
a + c
a - c
c + a
c - a
In all of these expressions, the sum or difference of two odd numbers is always an odd number, so the result will always be an odd number.

On the other hand, the following expressions will always be equivalent to an even number:

a + b
a - b
b + a
b - a
a + b
a - b
b + a
b - a
In all of these expressions, the sum or difference of an odd number and an even number is always an even number, so the result will always be an even number.

What number line represents the solution set for

Answers

Answer:

4th one

Step-by-step explanation:

Hope that helps.

Help me with this question please!!

Answers

Answer:

∠1 = 19°∠2 = 76°

Step-by-step explanation:

You want to know the measure of angle 1 given that angle 2 is four times angle 1, and their sum is 95°.

Angle sum theorem

The angle sum theorem tells you the whole is equal to the sum of the parts.

  ∠1 +∠2 = ∠WXZ

Using the given information, we can write ...

  ∠1 + (4×∠1) = 95°

  5×∠1 = 95° . . . . . . . . collect terms

  ∠1 = 19° . . . . . . . . . divide by 5

Then angle 2 is ...

  ∠2 = 4×∠1 = 4×19°

  ∠2 = 76°

2. Which of the following expressions has

a simplified value of 3a-2?

A. -6a+9a+4-2

B. -a+4+5a-a-6

C. -8+3a+10-a

D. -10-5a+12+8a

Answers

Answer: Ask three before me please!

Step-by-step explanation:

which of the following statements is a proposition? (a) get me a glass of milk (b) god bless you! (c) what is the time now? (d) the only odd prime number is 2

Answers

The proposition ststement is: the only prime number that is odd is 2.

The correct answer is an option (d)

In this question we have been given some statements.

we need to identify the proposition statement.

We know that a proposition is a declarative statement. In mathematics proposition gives a clear inference of whether a sentence is true or false. The proposition statement cannot be stated in two ways. The statement must be either correct or incorrect.

a) get me a glass of milkshake.

It is a commanding statement.

b) god bless you!

It is a type of optative statement.

c) what is the time now?

It is a question sentence.

d) the only odd prime number is 2.

It is a false proposition statement.

Therefore, option (d) is a proposition statement.

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a publisher reports that 52% of their readers own a personal computer. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 340 found that 49% of the readers owned a personal computer. is there sufficient evidence at the 0.02 level to support the executive's claim?

Answers

First, state the null and alternate hypothesis for the hypothesis test

H0:p=0.52

Ha:p≠0.52

z=pˆ−p/√p(1−p)/n

z= pˆ−p divided by the square root of p(1−p) divided by the sample (n)

z= 0.49^-0.52/ √0.52 ( 1- 0.52) / 340 = -2.24

z=-2.24

When using rejection regions, we reject the null hypothesis, H0, if:

z<−zα for a left-tailed test

z>zα for a right-tailed test

|z|>zα/2 for a two-tailed test

Thus the decision rule is: Reject the null hypothesis, H0, if |z|>2.33.

Since the absolute value of the z test statistic, 2.24, is less than the critical value, 2.33, we fail to reject the null hypothesis.

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The width of a rectangle is the length minus 3 units the area of the rectangle is 4 units what is the width in units of the rectangle

Answers

The width of the rectangle is 1 unit.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

When calculating a rectangle's area, we multiply the length by the width of the rectangle.

That means,

the area of the rectangle = length x width.

Let l represents the length of the rectangle.

Then according to question,

we have width (l-3) units.

And the area of the rectangle is 4 squared units.

So, the area of the rectangle = length x width.

l x (l-3) = 4

l² - 3l -4 = 0

Now we have a quadratic equation.

To find the width of the rectangle:

We will find the value of l.

That means, zeros of the quadratic equation.

l² - 3l -4 = 0

l²-4l+l -4 = 0

l (l-4) + 1 (l-4) = 0

(l+1)(l-4) = 0

l = -1 , 4

Here, we take the value 4.

That means, the length is 4 units,

and the width is 4-3 = 1 unit.

Therefore, the width is 1 unit.

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Go step by step to reduce the radical Which of the following is a drug that can be used to treat attention deficit hyperactivity disorder (ADHD)? A. Adderall B. Clozaril C. Lithium D. Xanax. Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given byC(p) =8100p100 p(a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.)p =(b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.)(c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)(d) What happens to the cost as the percent of pollution removed approaches 100%?The cost increases (bounded by 8100) as p increases.The cost decreases (bounded by 0) as p increases.The cost decreases without bound as p increases.The cost increases without bound as p increases.The cost remains constant a The best answer that defines the meaning of interest is: Multiple Choice oThe time it takes to pay back a loan. oA borrower's payment to the owner of an asset for its use. oThe future value of a present amount. oAlways considered a liability, oAlways considered an asset. Karla is saving money to visit her relatives in Florida. It costs $1,000 for the plane ticket and $250 per night for the hotel. Using the function that represents the cost c based on the number of nights n Karla spends in Florida, how many nights can Karla stay in Florida if she saves $3,000? PLEASEE HELP! What ultimately made the Battles of Somme, Verdun, and Marne hopeless offensives?A. Trench warfareB. Gas masksC. ZeppelinsD. Infantry attacks when developing the plan of patient care, which nursing order can be delegated to the unlicensed assistive personnel (uap)? 1.SQL is a logical programming paradigm language because it gathers information and allows us to ask logical questions about that information.a.trueb.false.2.After designing a fact-base from data, relationship and rules, what do we use to query the fact-base?a.We write specific programs after designing the fact-base where we have to process the information ourselves to draw conclusions.b.Like SQL, Queries are separate ideas with their own syntax.c.You make a query by giving a variable as a parameter to a rule. Prolog will then search its fact-base to give you results that fulfill the variable.d.Nothing more needs to be done. You have specified your program, now you just need to run it. 12. A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. What volume isneeded to hold this amount of plastic? lycopene . a. is one of many flavonoids b. may promote growth of estrogen-dependent cancers c. may help protect against cancer and heart disease d. is abundant in apples e. is another name for vitamin e Question 3 of 20Transcendentalist thinkers, such as Henry David Thoreau, spread the idea that:A. unfair laws should be protested with civil disobedience.B. old ideas and teachings are a reliable foundation for modernliving.C. humanity will grow and prosper through industrialization.D. society and its needs are more important than the individual. what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form FILL IN THE BLANK. Under _____, if the buyer in an alleged contract for the sale of land has paid any portion of the sale price, has begun to permanently improve the land, or has taken possession of it, the courts will consider the contract partially performed and this partial performance will amount to proof of the contract. which of the following is a federal consumer protection agency? question 16 options: federal trade commission consumers union better business bureau True or false? gender / adjective agreement A group consisting of 28 aggressive zombies triples in size every hour. Whichequation matches the number of zombies after 7 hours? A malignant cell is noncancerous. True False Can anyone solve I need help urgent thank you In act v of the tragedy of macbeth, what does lady macbeth do when she is sleepwalking? A driver may park in a space reserved for people with disabilities if the vehicle displays the proper license plates: Answers Regardless of who is in the vehicle. And only if the driver is disabled. And is carrying the disabled person named on the registration. And someone in the driver's immediate family is disabled.