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2 years ago

Which two are equivalent?

Mathematics

1 answer:

never [62]2 years ago

7 0

Answer:

Expression I and IV

Step-by-step explanation:

Expression I simplified :

3n + 7 + n + 4n
8n + 7
Expression I = Expression IV

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Define an exponential function, h(x), which passes through the points (1,16) and(5, 1296). Enter your answer in the form axb^xh(

Lerok [7]

Define an exponential function, h(x), which passes through the points (1,16) and

(5, 1296). Enter your answer in the form axb^x

the equation is of the form

$y=a(b)^x$

we have

point (1,16)

For x=1, y=16

substitute

$\begin{gathered} 16=a(b)^1 \\ 16=a\cdot b \end{gathered}$

isolate the variable a

$a=\frac{16}{b}$

Point (5,1296)

For x=5, y=1,296

substitute

$1,296=a(b)^5$

substitute equation 1 in equation 2

$1,296=(\frac{16}{b})\cdot b^5$

solve for b

$\begin{gathered} \frac{1296}{16}=b^4 \\ b^4=81 \\ b=3 \end{gathered}$

Find the value of a

a=16/3

therefore

the equation is

$y=\frac{16}{3}\cdot(3)^x$

see the attached figure to better understand the problem

6 0

1 year ago

What is y = -3x in standard form?

worty [1.4K]

For Ax+By=C, we have y=-3x. We want both the y and x variable on the same side, and that leads us to either subtract y from both sides or add 3x to both sides. You can do either, but I personally prefer the latter, so we have 3x+y=0. We have A=3 (since that is the coefficient for x) and B=1 (since 1*y=y). Lastly, C=0

Feel free to ask further questions!

4 0

3 years ago

Half of the class likes chips 4th of the class likes pennies and the 7kids left want waterfront how many kids are in the class

S_A_V [24]

There are 28 kids in the class

Step-by-step explanation:

If an object is divided into different part, then

The total of all parts is 1
To find a missing part subtract the sum of the other parts from 1

∵ Half of the class likes chips

- Have means $\frac{1}{2}$

- Assume that the number of kids in the class is x

∴ The number of kids likes the chips = $\frac{1}{2}$ × x =

∵ 4th of the class likes pennies

- 4th means $\frac{1}{4}$

∴ The number of kids likes pennies = $\frac{1}{4}$ x

∵ The rest of the class want waterfront

- Find the rest of the class in terms of x by subtracting the sum

of the two given fractions from the number of kids

∴ The number of kids left = $x-(\frac{1}{2}x+\frac{1}{4}x)$

∵ $\frac{1}{2}x+\frac{1}{4}x=\frac{3}{4}x$

∴ The number of kids left = $x-\frac{3}{4}x$

∴ The number of kids left = $\frac{1}{4}$ x

∵ 7 kids left

- Equate $\frac{1}{4}$ x by 7 and find x

∴ $\frac{1}{4}$ x = 7

Multiply both sides by 4

∴ x = 28

There are 28 kids in the class

Learn more:

You can learn more about the fractions in brainly.com/question/1312102

#LearnwithBrainly

3 0

3 years ago

If there are 80 calories in 2/3 of an apple, How many calories are in 6 apples?

Lelu [443]

Answer:

Around 570 to 560.

4 0

3 years ago

The polynomial h(x) = (x+3)(x + 1)(x - 2)(.– 4) has the following zeros/roots:

Artyom0805 [142]

Answer:

The roots(zeros) are :x=-3,-1,2,4

Step-by-step explanation:

The answer is A.

3 0

3 years ago