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2 years ago

Rebecca drew a graph with these key features:

Mathematics

1 answer:

postnew [5]2 years ago

4 0

The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

<h3>How to determine the function that could be represented by Rebecca’s graph? </h3>

The properties are given as:

The function is decreasing.
The left end is approaching a constant.

For an exponential function to keep decreasing, one or more the following must be true:

The rate is less than 1
The leading factor is negative and the rate is greater than 1

For the left end of an exponential function to approach a constant, the following must be true:

The leading factor is negative and the rate is greater than 1

The equation that has the above properties is f(x) =-2(5/4)^x+3

Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

Read more about exponential functions at:

brainly.com/question/2456547

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2sin² theta = sin theta for - 270° ≤ 0 ≤180°

sertanlavr [38]

Answer:

θ = 0°

θ = 30°

θ = 150°

θ = 180°

Step-by-step explanation:

2sin² θ = sin θ

Then

2sin² θ - sin θ = 0

Then

sin θ (2sin θ - 1) = 0

Then

sin θ = 0 or 2sin θ - 1 = 0

Then

sin θ = 0 or sin θ = 1/2

…………………………………………

We have sin θ = 0 and - 270° ≤ θ ≤180°

Then

θ = 0 or θ = π = 180°

On the other hand,

sin θ = 1/2 and - 270° ≤ θ ≤180°

Then

θ = π÷6 or θ = 5π÷6

π÷6 = 30° and 5π÷6 = 150°

3 0

2 years ago

What is the surface area of the triangular prism shown?

Luba_88 [7]

Answer:

Step-by-step explanation:

we need to find the surface area of the shapes before adding them together. the triangles are 6*4 and since there are two, we do not need to divide by 2. (normally to find the area of a triangle it is base times height divided by 2)

so the area of the triangles are 24 units. Next we have the outer rectangles. 7*5=35. Since there are 2, we multiply by 2. Last we have the middle rectangle. 7*6=42.

the whole equation would be: 24+70+42= 136

so your answer would be B: 136.

hope this helps :)

4 0

3 years ago

12 is 8% of what number?

jeka57 [31]

We can also say this in another way ... (8% of what number is 12?)
let a be the number of which 8 % is 12 ....
8/100 x a =12 
a=12 x 100/8 
a=(6/4) x 100 
a=(3/2) X 100
a = 150 

now if u want to check your answer.. substitute the value of a .....
(8/100) x 150=12 ....

Hope it helps !!!

7 0

3 years ago

Read 2 more answers

Simplify the square root of 5 times the cube root of 5.

mihalych1998 [28]

Answer:

Option 3 - five to the two thirds power

Step-by-step explanation:

Given : Expression 'the square root of 5 times the cube root of 5'.

To find : Simplify the expression ?

Solution :

Writing expression in numeric form,

The cube root of 5 means $\sqrt[3]{5}$

The square root of 5 times the cube root of 5 means $\sqrt{5\sqrt[3]{5}}$

Now, simplify the expression

$\sqrt{5\sqrt[3]{5}}=\sqrt{5\times (5)^{\frac{1}{3}}}$

$\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{1+\frac{1}{3}}}$

$\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{\frac{4}{3}}}$

$\sqrt{5\sqrt[3]{5}}=((5)^{\frac{4}{3}})^{\frac{1}{2}}$

$\sqrt{5\sqrt[3]{5}}=(5)^{\frac{4}{3}\times \frac{1}{2}}$

$\sqrt{5\sqrt[3]{5}}=(5)^{\frac{2}{3}}$

The expression is five to the two thirds power.

Therefore, Option 3 is correct.

3 0

3 years ago

Read 2 more answers

A worker can do a job in 5 hours, and his student can do the same job in 8 hours. What part of the work is left to finish after

Vlad1618 [11]

Answer: 13/20

Think: How much can each of them do In 1 Hour (1/5 and 1/8) Then add those two together. Then multiply the sum by two. Finally Simplify the answer of 26/40 into 13/20

6 0

3 years ago

Read 2 more answers