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Dovator [93]
3 years ago
9

The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. Explain the

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

Answer:

The y-intercept is the height of the candle before it was lit

Step-by-step explanation:

The y-intercept is at 0 on the x-axis meaning that not time has passed, so the candle is at its original height

You might be interested in
0.825167 rounded to the nearest ten-thousandth
antoniya [11.8K]
0.825200
(correct me if I’m wrong)
3 0
3 years ago
A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm
AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

8 0
3 years ago
What is the distance of the line?<br> Remember the distance formula is (23 - 23) + (42 -
vivado [14]

Answer:

<em>The distance of the line is 10.82</em>

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The graph clearly shows the points (-5,4) (4,-2), thus the distance is:

d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}

d=\sqrt{81+36}=\sqrt{117}=10.82

The distance of the line is 10.82

4 0
3 years ago
If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to mc024-1.jpg?
Harrizon [31]
The complete question in the attached figure

we have that
f(x) = x²<span> + 1
g(x) = x – 4

step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17

step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37

the answer is 37


4 0
3 years ago
Read 2 more answers
She arrived at the car park at 2.15pm and leaves at 4.45pm on Thursday. how much does Diane pay for her car parking? Monday - Fr
kondor19780726 [428]

Answer:

£4.50

Step-by-step explanation:

She is at the car park for 2 hours and 30 minutes.

It would be £4.50 because 2 hours and 30 minutes is between 2-4 hours.

It can't be £3.00 because it would be too little time (2 hours or less) and it wouldn't be £5.50 because she would be paying for more time than she was there for (5 hours or more).

Hope this helps :)

3 0
2 years ago
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