Which statement describes the system of equations?

Hey can anyone give me the answers to the questions that are blank

Brilliant_brown [7]

The value of the rate of change of the function is 14a + 7h

<h3>Rate of change of function</h3>

The rate of change of function is also known as the slope expressed according to the equation shown below;

f'(x) = f(a+h)-f(a)/h

Given the function below expressed as:

f(x) =1 + 7x^2

Determine the function f(a)

To determine the function, simply replace x with 'a" to have:

f(a) =1 + 7a^2

Determine the function f(a+h)

f(a+h) = 1 + 7(a+h)^2

f(a + h) = 1 + 7(a^2+2ah+h^2)

f(a + h) = 1 + 7a^2 + 14ah + 7h^2

To determine the rate of change

f'(x) = f(a+h)-f(a)/h

f'(x) = 1 + 7a^2 + 14ah + 7h^2 - 1 - 7a^2/h
f'(x) = + 14ah + 7h^2/h

f'(x) = 14a + 7h

Hence the value of the rate of change of the function is 14a + 7h

Learn more on rate of change here: brainly.com/question/8728504

#SPJ1

7 0

2 years ago

Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.

Vlad1618 [11]

What you must do is add up the total amount of medical expenses:
Albert's medical expenses total $ 12,000
Sam's come to $ 8,000
Adding we have:
$ 12,000 + $ 8,000 = $ 20,000
Sue Jones is insured for the amount of 10/20
So:
(10/20) * (20000) = 10000
answer
The insurance will pay $ 10,000

3 0

3 years ago

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0

3 years ago

What graph best represents y=2^x + 1

Citrus2011 [14]

Answer:

The graph that best represents the given equation in the attached figure

Step-by-step explanation:

we have

$y=2^x+1$

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

substitute

$y=2^0+1=2$

The y-intercept is the point (0,2)

The given function is increasing, because the y-value increases as the x-value increases. The function tends to go up as it goes along

therefore

The graph that best represents the given equation in the attached figure

4 0

3 years ago

Help me now before i push you in ragdoll engine jk oh no oh pls help me istg- i love you

AveGali [126]

Answer:

Hello! Your answer would be BELOW

Step-by-step explanation:

In the history of education the one-room schoolhouse has played an important role in several countries. In the rural areas of the US Midwest and in Norway the one-room schoolhouse was the most common school in the second half of the nineteenth century and the first decades of the twentieth. Although the schoolhouses at first sight seem identical there are some interesting points of distinction in their educational history and how their legacy is interpreted, managed, preserved and promoted today. In the Midwest they are a beloved national icon, often listed, embodying national values and virtues. In Norway their story is effectively untold, not a single one is listed on national preservation lists and by no means do they embody national identity, virtues or values. This article offers an explanation for this different treatment.

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

5 0

3 years ago