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3 years ago

H(x) = 18.75 - 4.53x What is the value of h(−11)?

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57

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Answer the following questions about the problem above. Write in complete sentences to get full credit.

nexus9112 [7]

Note: Since you missed to add the image, so after a little research, I was able to find the image related to this question, which hopefully serves the purpose to clear your concept. The image is attached below.

Step-by-step explanation:

Part 1) What is the slope for section "d" of Mrs. Washington's commute

Calculating the slope for section "d" of Mrs. Washington's commute:

Slope of the section d $=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\frac{6 - 0}{32 - 20}=\frac{1}{2}=0.5$

Part 2) What does it mean that the slope is negative in context of the problem?

The slope is being negative as it is moving downward from the left. In negative slop, the value of x increase, while the vale of y decreases. In positive slop, the value of both x and y increases.

Part 3) Why are the slopes different over different intervals?

Slopes are different at different intervals as the distance covered in time taken for each part of the given journey are different, also the speed is not the same for each interval.

As the speed can be calculated as

$Speed\:=\:\frac{distance}{time}\:$

Distance = $y_{2} -y_{1}$ = $20 - 15 = 5$

Time = $x_{2} -x_{1}$ = $8 - 0 = 8$

Speed = $\frac{5}{8}=0.625$

Therefore, the speed in the part 1 is $0.625$ $ms^{-1}$

Part 4) How long does it take Mrs. Washington to get home? How did you know this?

It is clear from the graph that does take 32 minutes to her to get home.

We can observe it from the graph that it represents the total time taken across the entire journey.

Keywords: slope, speed, time

Learn more about slope, speed and time from brainly.com/question/13275691

#learnwithBrainly

3 0

3 years ago

1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the r

asambeis [7]

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: $x=\frac{-b}{2*a}$ . The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

$t=\frac{44.1}{2*(-4.9)}$

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

7 0

2 years ago

100 points !!!!!!!!!!!!! please help

m_a_m_a [10]

We have to,

write a word problem for this equation,

→ 2/3 × 5

Let's write a word problem,

For one student 2/3 part of one cake is needed. Then how many cakes will they have to buy for 5 students?

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3 years ago

Read 2 more answers

15.268 divided by 10,000 I WILL RATE YOU 5 STARS AND LIKE

Ket [755]

Answer:

The answer is 0.0015268.

Step-by-step explanation:

15.268÷10,000=0.0015268

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3 years ago

Write equivalent fractions for 3\5 and 1\4 using 20 as the conman denominator

Sindrei [870]

Answer:

12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20

4 0

2 years ago