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3 years ago

Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x

Mathematics

2 answers:

Hatshy [7]3 years ago

8 0

A. (-1, 4/25)

D. (2, 2500

Are the answers

sp2606 [1]3 years ago

5 0

There are four inputs: {-1, 0, 1 and 2}. Let x=-1 and find y. Let x = 0 and find y. And so on. You will find that only the input -1 produces the y-value predicted by the function f(x) = 4(5)^(2x).

Note that if you use a calculator to evaluate f(x), be certain to enclose "2x" inside parentheses: f(x) = 4(5)^(2x)

You might be interested in

The scale from a garden to this drawing is 8 ft to 1 cm. the scale from the same garden to another drawing is 2 ft to 1 cm. what

garik1379 [7]

The lengths of the base and height of the garden in the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

What is the scale factor?

The scale factor is calculated by Scale factor = Length of the new drawing ÷ length of the original drawing

Calculation:

It is given that,

For the given triangle drawing, the scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm.

So, we can compute the scale factors as

8 ft to 1 cm = 1/8 cm

2 ft to 1 cm = 1/2 cm

Then the scale factor for the required lengths is 1/8 ÷ 1/2 = 1/4 cm

Thus, the required lengths are:

The base of the garden on the other scale drawing is

= 2.4 cm × 1/4

= 0.6 cm

The height of the garden on the other scale drawing is

= 3.6 cm × 1/4

= 0.9 cm

Therefore, the lengths of the base and the garden on the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

The given question in the portal was incomplete. Here is the complete question.

Question: The scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm. What are the lengths of the base and height of the garden in the other scale drawing?

A) 0.6 cm and 0.9 cm

B) 1.2 cm and 1.8 cm

C) 4.8 cm and 7.2 cm

D) 9.6 cm and 14.4 cm

Learn more about scale factors here brainly.com/question/28307342

#SPJ4

5 0

2 years ago

One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second

Alex_Xolod [135]

Answer:

Define your variable and write your equation: 36 + b + (3b-28) = 180°.
measure of the second angle: 43°.
measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1) 36 + b + (3b-28) = 180 ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2) b = 43° ⇒ measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101° ⇒ measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0

3 years ago

877 to binary, octal, and hexadecimal

statuscvo [17]

Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8 7 7 where each digit is multiplied by
10^ 2 10 ^1 10^0 respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1 (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor)

6 0

3 years ago

What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth. 9.23 10.20 10.98 11.34

nevsk [136]

D = \/(0-(-2))² + (-6-4)²
d = \/(0+2)² + (-10)²
d = \/(2² + 100)
d = \/(4+100)
d = \/104
d ~ 10,20

5 0

3 years ago

Read 2 more answers

Explain why the slope of line a is 2/6

nevsk [136]

Answer:

Step-by-step explanation:

Hi so 2/3

where slope means rise over run

so it means the first point or you slope(x1 y1)

and you take that point, go up 2 on Y, and move 6 unit to the left(x)

3 0

3 years ago