Y= 2x - 3; Y = (1/2)x - 4

Answers

Answer 1

Answer:

(-2/3, -13/3)

Step-by-step explanation:

Given the expressions;

[tex]y= 2x - 3\\y = (\frac{1}{2} )x - 4[/tex]

Equating both expressions;

[tex]y=y\\2x-3=\frac{1}{2}x-4\\[/tex]

Collect the like terms:

[tex]2x-\frac{1}{2}x=-4+3\\\frac{3x}{2}=-1\\3x=-2\\x=\frac{-2}{3}[/tex]

Substitute [tex]x=\frac{-2}{3}[/tex] into any of the expressions to get 'y'

[tex]Recall\ y= 2x-3\\y=2(\frac{-2}{3} )-3\\y=\frac{-4}{3}-3\\y=\frac{-4-9}{3} \\y=\frac{-13}{3}[/tex]

Hence the solution to the equation is (-2/3, -13/3)


Related Questions

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Answers

Answer:

d

Step-by-step explanation:

i took the test

What are the coordinates A’ after 90 counterclockwise rotation about the origin.

Answers

Answer:

the above is the answer

hope this is helpful

can anyone solve it the picture is given below.
can you solve all this questions​

Answers

Now you can see if I have to go back and get the phone off the screen when you

oval (S) and A, B permanent, straight line d

Answers

I think you have not write the whole question

What would you do to isolate the variable in the equation below, using only one
step?
X + 9 = - 12
O Subtract 9 from both sides of the equation.
O Add 9 to both sides of the equation.
का
O Subtract 12 from both sides of the equation.
O Add 12 to both sides of the equation.

Answers

subtract 9 from both sides of the equation

Answer:

O Subtract 9 from both sides of the equation.

Step-by-step explanation:

Notice that on the left hand side of the equation, you have two parts: X and 9. The variable is X, so we must do something to the 9 to remove it. Remember that we can cancel things by adding the negative of it. For example, 47+(-47)=0. Therefore, the opposite of 9 is -9. That essentially means subtracting 9.

What represents the inverse of the function f(x) = 4x

Answers

Answer:

[tex]f { - 1}^{ } = \frac{x}{4} [/tex]

Step-by-step explanation:

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Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by step explaination​

Answers

Ravi earns per month=Rs4300Spends=80%

Saving percentage=100-80=20%

Saving amount:-

[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]

[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]

[tex]\\ \sf\longmapsto 43\times 20[/tex]

[tex]\\ \sf\longmapsto 860[/tex]

saving per year=Saving per month×12

[tex]\\ \sf\longmapsto 12\times 860[/tex]

[tex]\\ \sf\longmapsto Rs10320[/tex]

Step-by-step explanation:

i think this will be help you

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:


1. What kind of special angle pair do the 2
angles make? (corresponding,
supplementary, or vertical)

Answers

Answer:

supplementary angle is whose is mesure is 180

Which of these is a factor in this expression?
7z4 – 5 + 10 (y3 + 2)
A. -5 + 10 (y + 2)
B. (y3 + 2)
C. 7z4 – 5
D. 10 (y3 + 2)

Answers

Answer:

A

Step-by-step explanation:

-5+10(y+2) is a factor

The factor in the expression is (y³ + 2)

How to determine the factor in the expression?

The expression is given as:

7z⁴ - 5 + 10 (y³ + 2)

The terms of the expressions are:

7z⁴ , -5 and 10 (y³ + 2)

The factors are

7 and z⁴10 and (y³ + 2)

Hence, the factor in the expression is (y³ + 2)

Read more about expressions at:

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The expected value of X, E(X) must never be less than zero. True or False.

Answers

Answer:

I think true

Step-by-step explanation:

like and mark brainlist

Absolute Value Equations

Answers

Answer:

4 is E, 5 is A

Step-by-step explanation:

4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.

5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.

in this statement underlined the conclusion twice, underlined the hypothesis once, determine the truth value of the statement, and write it inverse converse and contrapositive. two angly of a triangle are equal if it is an isosceles triangle.​

Answers

Answer:

Step-by-step explanation:

HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.

Answers

Answer:

you forgot to add an image I dont know what angles your talking about

A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what is the average speed for the entire trip, in miles per hour? (Pls explain throughly with your answer)

Answers

Answer:

80/3

Step-by-step explanation:

same distance is covered at different speed , avg speed= 2ab/a+b

= 2*20*40/60

= 80/3

Answer:

[tex]\frac{80}{3}\text{ mph}[/tex]

Step-by-step explanation:

We can use the formula [tex]d=rt[/tex] (distance  = rate * time) to solve this problem.

If the motorist is travelling 90 miles to and back on a trip, he has travelled [tex]90+90=180[/tex] miles total. This represents [tex]d[/tex] in our formula.

Now we need to find the total time.

On the first trip, it's given that the motorist travels at a rate of 20 mph. Therefore, the time this trip took to travel 90 miles is:

[tex]90=20t,\\t=\frac{90}{20}=\frac{9}{2}=4.5[/tex] hours

On the second trip back, he travels the same distance (90 miles) at a rate of 40 mph. Therefore, the time the trip took is:

[tex]90=40t,\\t=\frac{90}{40}=\frac{9}{4}=2.25[/tex] hours

Therefore, the total time is [tex]4.5+2.25=6.75[/tex] hours.

Now can calculate the average speed of the entire trip:

[tex]180=6.75r,\\r=\frac{180}{6.75}=\frac{180}{\frac{27}{4}}=180\cdot \frac{4}{27}=\boxed{\frac{80}{3}\text{ mph}}[/tex]

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
Ox+y = 100, 5x + 2y = 29
O 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29

Answers

Answer:

x + y = 29, 5x + 2y = 100

Step-by-step explanation:

First, create an equation based on how there are 29 problems on the test.

x + y represents all of the questions on the test, so it should be set equal to 29.

The first equation is x + y = 29.

Now, create an equation based on how the test is worth 100 points.

5x will represent the points from the questions worth 5 points, and 2y will represent the points from the questions worth 2 points.

These terms will be added together, and set equal to 100.

The second equation is 5x + 2y = 100.

So, the system of equations is x + y = 29, 5x + 2y = 100

PLS HELP!
If f(x)= x+3/4 what is the equation for f–1(x)?

A) f–1(x) = 4(x + 3)


B) f–1(x) = 4x - 3


C) f–1(x) = 4(x - 3)


D) f–1(x) = 4x + 3

Answers

Answer:

f^-1(x) = 4x-3

Step-by-step explanation:

f(x) = (x+3)/4

y = (x+3)/4

Exchange x and y

x = (y+3)/4

Solve for y

4x = y+3

Subtract 3

4x-3 = y

The inverse

f^-1(x) = 4x-3

Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

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Determine how many days t will the two isotopes have the same activity

Answers

Answer:

t = 1 ... one day

Step-by-step explanation:

3 x [tex]10^{18}[/tex] * [tex](.5)^{t}[/tex] = 6 x [tex]10^{18}[/tex] * [tex](.5)^{2t}[/tex]

3 x [tex]10^{18}[/tex]     =   [tex](.5)^{2t}[/tex] / [tex](.5)^{t}[/tex]  

6 x [tex]10^{18}[/tex]      

1/2 = [tex].5^{t}[/tex]

ln( 1/2)  = t ln( [tex].5[/tex]  )

t = ln( .5)/ln( [tex].5[/tex]  )

t = 1

-Ba+9=Q²a solve for a

Answers

Answer:

[tex]a= \frac{9}{B+Q^2}[/tex]

Step-by-step explanation:

Given;

-Ba+9=Q²a

To solve for "a", make "a" the subject of the formula.

First, collect similar terms together;

-Ba - Q²a = -9

multiply through by "-1" to remove the negative sign;

Ba + Q²a = 9

factor out a;

a(B + Q²) = 9

divide both sides of the equation by "(B + Q²) ";

[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]

Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]

If ABCDE is reflected over the x-axis and then translated 3 units left, what are
the new coordinates C?

Answers

Answer:

B (-2,2)

Step-by-step explanation:

Point C starts at (1,-2).

Reflect over the x axis: Point C becomes (1,2)

Translate 3 units left: Subtract 3 from x to make Point C (-2,2)

The new coordinates of C is (-2,2).

option (B) is correct.

It is required to find the  new co-ordinate of C.

What is called co ordinate?

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

In the given figure ABCDE is reflected over X-axis and then translated 3 units left.

So, Point C starts at (1,-2).

Reflect over the x axis: Point C becomes (1,2).

Finally  Reflect over the x axis: Point C becomes (-2,2).

                                        OR

Translate 3 units left: Subtract 3 from x to make Point C  IS (-2,2).

Thus, the new coordinates of C is (-2,2).

Learn more about the co-ordinates here:

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#SPJ5

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

3/4 divided by 1/2 please hurry !!

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

(3/4) / (1/2) = (3/4) * (2/1)

                 = 6/4

                 = 3/2

It is given that,

→ 3/4 ÷ 1/2

We can divide the given values,

→ 3/4 ÷ 1/2

→ 3/4 × 2/1

→ 6/4

→ 3/2 (or) 1.5

Thus, 3/2 (or) 1.5 is the answer.

Obtain all other zeros of 2 x power 4 - 6 x cube + 3 X square + 3 x minus 2 if two of its zeros are 1\ square root 2 and -1\square root 2​

Answers

-1/2 and -1, 2√2,-2√2

It is known that a
a) add 4 to both sides of the inequality
b) multiply each side of the inequality by 8

PLEASE HELP NEED ASAPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

the answer is B

Step-by-step explanation:

Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to >, and vice versa. For example, given that 5 < 8 we can multiply both sides by 6 to obtain 30 < 48 which is still true. −30 > −48, which is a true statement.

when solving inequalities with absolute values When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

Solve the following formula for the specified variable:
C = 1/2 e * p for e​

Answers

Given:

The formula is:

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

To find:

The formula for e.

Solution:

We have,

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

Multiply both sides by 2.

[tex]2C=e\cdot p[/tex]

Divide both sides by p.

[tex]\dfrac{2C}{p}=\dfrac{e\cdot p}{p}[/tex]

[tex]\dfrac{2C}{p}=e[/tex]

Interchange the sides.

[tex]e=\dfrac{2C}{p}[/tex]

Therefore, the required formula for e is [tex]e=\dfrac{2C}{p}[/tex].

In general, how are the measures of central tendency and variability used to analyze a data distribution

Answers

Answer:

Central tendencies and variability are generally used to represent or describe/summarize a large data set into a single data

Step-by-step explanation:

Central tendency is the measurement used to determine the probability of a set of  variables/dataset to cluster around their mean, mode, and median values.

Central tendencies and variability are generally used to represent or describe/summarize a large random data set into a single data. examples of variabilities are : variance, range and standard deviation.

please help!!!

find x​

Answers

9514 1404 393

Answer:

  x = (17/2)√2

Step-by-step explanation:

The ratios of sides of an isosceles right triangle are ...

  1 : 1 : √2

In this problem, that is identical to ...

  x : x : 17

That is, ...

  [tex]x=\dfrac{17}{\sqrt{2}}=\boxed{\dfrac{17}{2}\sqrt{2}}\qquad\text{after rationalizing the denominator}[/tex]

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

Look at the number 45,962. Write a new
number that has the digit 4 with a value 10 times
greater than the value of the 4 in 45,962. Explain how
you determined your new number.

Answers

I'm not sure about this one..

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