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olga nikolaevna [1]

3 years ago

12

Use the graph below for this question: graph of parabola going through negative 5, 1 and negative 4, negative 4. What is the ave

rage rate of change from x = −5 to x = −4?

1 answer:

Gekata [30.6K]3 years ago

6 0

Use the slope formula:
(y2 - y1)/(x2 - x1)
(x1, y1) = (-5, 1)
(x2, y2) = (-4, -4)

You might be interested in

George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrive

alex41 [277]

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

4 0

3 years ago

Compute the amount of interest earned in the following simple interest problem. A deposit of $1,600 at 6% for 180 days =

Nikitich [7]

6% of $1,600 is = 96 if you multiple it with 180 : 96 × 180 = 17,280

7 0

3 years ago

Read 2 more answers

What's bigger 2/3 or 5/9

PIT_PIT [208]

Answer:

5/9

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In this exercise, T: R2 → R2 is a function. For each of the following parts, state why T is not linear. (a) T(a1, a2)= (1, a2) (

DENIUS [597]

Answer:

a) T is not homogeneous
b) T is not additive
c) T is not homogeneous
d) T is not additive
e) T is not additive

Step-by-step explanation:

In each case there is an example where one property of linear functions fails.

a) $T(2(1,0))=T((2,0))=(1,0); 2T((1,0))=2(1,0)=(2,0)$ . These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).

b) $T((1,2)+(2,3))=T(3,5)=(3,9); T((1,2))+T((2,3))=(1,1)+(2,4)=(3,5)$ . Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).

c) $T(\frac{1}{2}(\pi,0))=T((\frac{\pi}{2},0))=(\sin(\frac{\pi}{2}),0)=(1,0); \frac{1}{2}T((\pi,0))=\frac{1}{2}(0,0)=(0,0)$ so T is not homogeneous.

d) $T((-1,0)+(1,0))=T(0,0)=(0,0); T((-1,0))+T((1,0))=(1,0)+(1,0)=(2,0)$ then T is not additive.

e) $T((0,0)+(1,0))=T(1,0)=(2,0); T((0,0))+T((1,0))=(1,0)+(2,0)=(3,0)$ then T is not additive.

8 0

3 years ago

Quintana has 72 stickers she put 9 stickers on each page .then she add 12 more stickers at the end.how many stickers does she ha

Yanka [14]

72 + 12 = 84 stickers
ignore “she put 9 stickers on each page” because the question asked how many stickers she had total not how many on each page

3 0

3 years ago