What is the result of substituting for y in the bottom equation?
y = x + 3
y = x2 + 2x - 4

What Is The Result Of Substituting For Y In The Bottom Equation?y = X + 3y = X2 + 2x - 4

Answers

Answer 1

Answer:

The correct option is (B).

Step-by-step explanation:

We need to find the result of substituting for y in the bottom equation.

Equation (1) is : [tex]y=x+3[/tex]

Equation (2) is : [tex]y=x^2+2x-4[/tex]

Put the value of y form equation (1) to equation (2) such that,

[tex]x+3=x^2+2x-4[/tex]

It can be seen from the above equation, that option (2) is same as above equation.

Hence, the correct option is (B).


Related Questions

Simplify (√3 − √7)^2

Answers

Answer: 10 - 2√21

Step-by-step explanation: I simplified your question by using an online calculator. :)

The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?

Answers

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

can anyone help me find the volume? i will help you be the brainliest!!

Answers

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.

Answers

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

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The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?

Answers

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

It will be 45

I got it correct

7h=-(2h-18)7h=−(2h−18) Solve for h

Answers

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

Use the Rate-Factor Model for multiplication. The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a __________________ of _________________feet.





increase, 320 feet


decrease, 320 feet


increase, 1,280 feet


decrease, 1,280 feet

Answers

Answer:

The net change is a decrease of 1,280 feet

Step-by-step explanation:

From the question, we understand that the hiking team has a work rate of 320 feet / hour

Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.

Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet

Thus, the net change is decrease of 1,280 feet

Find the area of the shaded regions:
The pink is the shaded region

Answers

Answer: 5184.

Step-by-step explanation:

You do 72 x 72.

72*72 which gives you 5184

2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much

Answers

See the attached picture:

In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?

Answers

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

Answer:

8/15

Step-by-step explanation:

this is another answer, if you get these numbers

What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi

Answers

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

Help!!! Please????????

Answers

Answer:

idk

Step-by-step explanation:

i dont know

I think it’s asking to find the roots (zeros). Is so, then:

1.) There are two solutions, X = 1 plus or minus root 145/ 6.

2.) There are 2 solutions with components imaginary. X = 3/2 + i/2 and 3/2 - i/2

3.) There’s 2 solutions X = ( -7 plus or minus root 93)/2

4.) There is one solution X = -4

I hope that helps.

Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)

Answers

Answer:

4175.40384   Dutch guilders

Step-by-step explanation:

The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars

So ; if 1 swiss francs  =  1.0328 united states dollars  (as at Wednesday)

Then 2000 swiss francs  will be = 2000  ×  1.0328 united states dollars  = 2065.6 united states dollars

SO; if  1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)

Then 2065.6 united states dollars will be = 2065.6 × 2.0214

= 4175.40384   Dutch guilders

Answer:

closest would be 3,500

Step-by-step explanation:

A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
help!!!!!!!!!plz.....

Answers

Answer: 1/5, .2, and or 20%

Step-by-step explanation:

The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening

The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.

Answers

The dimension of the rectangle is 8m by 6.5m respectively

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

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Write the number for seventy-five million three hundred thousand

Answers

The answer is 75,300,000 hope this helps.

Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.

Answers

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?



Answers

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds

Answers

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer:

1/3

Step-by-step explanation:

I took the test

Which number has the least value?

Answers

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

The number that has the least value is given as -13.142.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.

Write all the numbers in one equivalent form as below,

⇒ |-10.869| = 10.869

⇒ -14⁶/₇ = -14 + 6/7 = -13.142

⇒ 9.21

⇒ |-10.25| = 10.25

It is clear from the equivalent form that the least value is -13.142.

Hence, the the least value number is obtained as -13.142.

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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

hope you do good on quiz! :D

13 POINTS!!!

In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.

Answers

Answer:

55°

Step-by-step explanation:

Using cosine law

67² = 74² + 14² - 2(74)(14)cos(L)

cos(L) = 169/396

L =55.18378419

The measure of angle L to the nearest degree is 55°.

What is Law of Cosines?

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given, for a triangle JKL,

j = 74 inches, k = 14 inches and l = 67 inches.

We can use law of cosines to find the measure of angle L.

Using the law of cosines,

l² = j² + k² - 2jk cos(L)

67² = 74² + 14² - (2×74×14) cos(L)

4489 = 5476 + 196 - 2072 cos(L)

4489 = 5672 - 2072 cos(L)

-1183 = - 2072 cos(L)

cos (L) = 0.5709

L = 55.18° ≈ 55°

Hence the measure of angle L is 55°.

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Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?

Answers

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000

Answers

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.

Answers

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

5x to the power of 2 =25x to the power of 2​

Answers

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

I don’t understand this question please help

Answers

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?

Answers

Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

For circle P , find QN if LM = ON = 7.

A.
3.5
B.
7.5
C.
14
D.
21

Answers

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?

Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?

Answers

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

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