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2 years ago

Which of the following demonstrates the distributive property?

Mathematics

1 answer:

AlladinOne [14]2 years ago

8 0

Answer:

D. (r + s)t = rt + st

Step-by-step explanation:

Distribute means that the term outside gets multiplied to each term on the inside of the parentheses

(r + s)t = rt + st

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Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)

Anastasy [175]

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}$

Solution:

Given expression is:

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

We have to combine the like terms

From given expression,

$\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})$

By distributive property,

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

a(b + c) = ab + bc

Therefore,

Solve for brackets using distributive property

$\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}$

Add 1/7 and 6/7

$\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}$

Thus the equivalent expression is found

5 0

2 years ago

the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.

laila [671]

L=(8/3)W = 24 ft. Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)

4 0

3 years ago

Plz answer fast brainleist guaranteed

julia-pushkina [17]

Answer:

They feed different water sheds.

Step-by-step explanation:

(pls mark me brainliest if u can)

Have a great day!

3 0

2 years ago

Read 2 more answers

Please answer. I’ll give Brainliest!

Gnoma [55]

Answer:

answer is c

Step-by-step explanation:

0=theta symbol

SOH CAH TOA

SOH= Sin0=Oppisite/hypotnuse

CAH= Cos0=Adjecent/Hypotnuse

TOA= Tan0=Oppisite/Adjecent

5 0

3 years ago

Read 2 more answers

Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x

zvonat [6]

The general formula for exponential growth and decays is:

$y=y_0e^{kx}$

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

The function

$y=\frac{1}{4}(\frac{1}{e})^{-2x}$

can be wrtten as:

$\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}$

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

The function

$y=(\frac{1}{e})^{4x}$

can be written as:

$\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}$

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

The function

$y=2e^{-x}+1$

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0

11 months ago