All categories

2 years ago

Which exponential function is graphed here?

Mathematics

1 answer:

jek_recluse [69]2 years ago

4 0

Answer:

y = 5^x

Step-by-step explanation:

y= b*(a)^x + c

c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2

When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.

So the graph is of the form y = a^x

Now when x = 0 the graph, the y intercept is y = a^0 or y = 1 So the y intercept is (0,1)

Now the next point is thing to solve for is a.

When x = 1, y = 5 (read the graph)

y = a^x

5 = a^1

5 = a because a^1 is a.

Answer

y = 5^x.

5 = a^1

You might be interested in

A shipping container is in the shape of a right rectangular prism with a length of 7.5

katrin [286]

Answer:

about 1036 pounds

Step-by-step explanation:

First we'll find the volume, then we'll use that to get the weight.

V = lwh

= 7.5 * 14 * 10.5

= 1102.5 cubic feet

We know that it weighs .94 pounds per cubic foot. The per tells us to multiply.

1102.5 cubic feet * .94 pound / cubic foot

= 1036.35 pounds

<u>= about 1036 pounds</u>

5 0

3 years ago

The point P(5, −4) lies on the curve y = 4/(4 − x).

dalvyx [7]

Answer:

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by $\frac{f(x)-f(a)}{x-a}$ .

Given points are $P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )$

So, slope of the secant line is $\frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}$

(i) At x = 4.9,

$\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444$

(ii) At x = 4.99,

$\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404$

(iii) At x = 4.999,

$\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004$

(iv) At x = 4.9999,

$\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004$

(v) At x =5.1,

$\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364$

(vi)

At x = 5.01,

$\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396$

(vii) At x = 5.001,

$\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004$

(viii) At x = 5.0001,

$\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996$

(b)

Slope of the tangent line is 4.

5 0

3 years ago

∠A and \angle B∠B are complementary angles. If m\angle A=(2x+30)^{\circ}∠A=(2x+30)

egoroff_w [7]

Answer:

x =21

Step-by-step explanation:

So we know that:

And that the two angles are vertical angles.

Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.

6 0

3 years ago

Read 2 more answers

Which definition best describes vertical angles?

Artyom0805 [142]

Answer:

B is the answer

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other

4 0

3 years ago

Please Help<br> please and thank you!

tatuchka [14]

Answer:

Step-by-step explanation:

cube means 3D square.. right?

so for volume we want the height x width x length.. make sense?

since each edge is 9'

the volume is $9^{3}$ = 729 $ft^{3}$