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3 years ago

Solve. −3(x+5)=−9 Enter your answer in the box.

Mathematics

2 answers:

dexar [7]3 years ago

7 0

Answer:

x = -2

Step-by-step explanation:

To solve for x in the equation - 3(x+5) = -9, we will follow the steps below:

First, we will start by opening the bracket

-3( x+ 5) = -9

-3x - 15 = -9

Next, is to add 15 to both-side of the equation

-3x - 15 + 15 = -9 + 15

-3x = 6

Divide both-side of the equation by -3

$\frac{-3X}{-3}$ = $\frac{6}{-3}$

(On the left-hand side of the equation, -3 at the numerator will cancel-out -3 at the denominator leaving us with just x, while on the right-hand side of the equation, 6 will be divided by -3)

x = -2

Alexxx [7]3 years ago

5 0

-3x-15=-9
+15 +15
-3x=6
/-3 /-3

x=-2

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3 years ago

The following equation represents the volume of a rectangular prism with a width of winches:V= 2w^3 - 7w^2 +3wa. What is the vol

alexgriva [62]

Solution:

Given:

$V=2w^3-7w^2+3w$

a) When the width is 5 inches,

Substitute w = 5 into the equation.

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Therefore, the volume of the prism is 90 cubic inches.

b) Factor the polynomial

$\begin{gathered} 2w^3-7w^2+3w=w(2w^2-7w+3) \\ w(2w^2-w-6w+3)=w(w(2w-1)-3(2w-2)) \\ =w(w-3)(2w-1) \end{gathered}$

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c) If w = 5 inches;

$\begin{gathered} l=2w-1 \\ l=2(5)-1 \\ l=10-1 \\ l=9inches \\ \\ \\ \\ h=w-3 \\ h=5-3 \\ h=2inches \end{gathered}$

It relates using the formula of volume of a rectangular prism;

$\begin{gathered} V=lbh \\ V=9\times5\times2 \\ V=90in^3 \\ \\ The\text{ volume in part \lparen a\rparen is also }90in^3 \end{gathered}$

d) The graph of the function is shown below;

The x-intercepts are;

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1 year ago

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Question is incomplete below is complete question.

Mr Baker wants to divide his class into smaller, equal-sized groups of students. However, he finds that his class cannot be divided evenly into any size group except for individual groups of 1.Complete the statements below about the number of students in Mr Baker's class.

Answer:

The number of students in his class must be a prime number.

Step-by-step explanation:

Given:

Mr Baker wants to divide his class into smaller and equal-sized group of students.

Also class cannot be divided evenly into any size group except for individual groups of 1.

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4 years ago

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Alex17521 [72]

Answer:

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Read 2 more answers

Find the volume of the prism given FB=8 , FC=6 cm, FE= 8 cm, and m