MATHEMATICS HIGH SCHOOL

What is the equation of the line?

Answers

Answer 1

Answer:

Answer:

y= -2x+8

Step-by-step explanation:

y= mx +b

m is the slope and here is m= -8/4 = -2

b is the y-intercept and here is 8

y= -2x+8

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If a car travels 55 miles per hour how far will it travel in half an hour

Answers

Answer:

27.5 miles

Step-by-step explanation:

55 divided by 2 is 27.5

Answer:

27.5 miles

always half it when it is half a mile

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 32t + 90

The average rate of change of f(t) from t = 4 seconds to t = 6 seconds is :blank: feet per second.

Answers

f ( 6 ) = -16·6²+32·6+90= -576 + 192 + 90 = -294
f ( 4 ) = -16· 4³+32·4+90=-256+128+90= -38
The average rate of change: [f(t2)-f(t1)]/ t2-t1=
[-294-(-38)] / (6-4) = -256 : 2 = -128 feet/s

The value of the average rate of change of f(t) is -128feet/s.

We have given that,

f(t) = −16t^2 + 32t + 90

f ( 6 ) = -16·6²+32·6+90= -576 + 192 + 90

f ( 6 ) = -294

f ( 4 ) = -16· 4³+32·4+90=-256+128+90

f ( 4 )= -38

What is the formula for the average rate of change?

The average rate of change

$[f(t_2)-f(t_1)]/ t_2-t_1$

Therefore by using the formula we get,

=[-294-(-38)] / (6-4)

= -256 / 2

= -128 feet/s

Therefore the value of the average rate of change of f(t) is -128feet/s.

To learn more about the average rate visit:

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HELP PLZZZZ like asap

Answers

Answer:

The answer is B

Step-by-step explanation:

✌

Answer:

B

Step-by-step explanation:

You can substitute the variables for the values!

7x = 21

3y = -6

2x = 6

y = -2

21 - (-6)

----------

6 + (-2)

27

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4

If Jana bikes at a constant rate how many miles did she bike in the first 15 minutes

Answers

Answer:

What is the constant rate?

Step-by-step explanation:

Six times a certain number is 16 more than twice the number

Answers

x - the number

$6x=2x+16 \ \ |\hbox{subtract 2x from both sides} \n4x=16 \ \ |\hbox{divide both sides by 4} \nx=4$

The number is 4.

6n=2n+16

6n-2n=16

4n=16

n=16/4

n=4

Given f(t)=t to the power of 4 +t² -5, find the value of f(b) - f(-b)

Answers

$f(t)=t^4+t^2-5\n \n f(b)-f(-b)=b^4+b^2-5-[(-b)^4+(-b)^2-5]\n \n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n \n \boxed{f(b)-f(-b)=0}$

$f(b)-f(-b)=b^4+b^2-5-((-b)^4+(-b)^2-5)\n f(b)-f(-b)=b^4+b^2-5-(b^4+b^2-5)\n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n f(b)-f(-b)=0$

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Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.A. alternate interior anglesB. same-side interior anglesC. corresponding anglesD. alternate exterior angles

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Help me first one gets brainliest IF they’re right