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kobusy [5.1K]
3 years ago
5

Solve the following problems mentally and match it to its corresponding solution.

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0

Answer:

<h3>1. t=10</h3><h3>2. t=4</h3><h3>3. t=40</h3>

Step-by-step explanation:

Isolate the term of t from one side of the equation.

<h3>1. 4t=40</h3>

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<h3><u>t=10</u></h3>

<h3>2. 10+t=14</h3>

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

<h3><u>t=4</u></h3>

<h3>3. 70-t=30</h3>

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<h3><u>t=40</u></h3>

  • <u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

ioda3 years ago
3 0

Answer:

4t =40 t= <u>10</u>  4x10=40

10 + t = 14 t=<u>4</u>   10 + 4 = 14

70 - t =30 t= <u>40</u>  70 - 40 = 30

Hope this helps!

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Factor completely 2x^3 + 10x^2 + 14x + 70(2x^2 + 14)(x + 5)(x^2 + 7)(2x + 10)2(x^3 + 5x^2 + 7x + 35)2[(x^2 + 7)(x + 5)]
givi [52]

ANSWER

2x^3+\text{ 10x}^2\text{ +14x + 70 = 2\lbrack\lparen x}^2\text{ + 7\rparen\lparen x + 5\rparen\rbrack}

EXPLANATION

Given polynomial function

2x^3\text{ + 10x}^2\text{ + 14x + 70}

To factor the given polynomial function, follow the steps below

Step 1: Divide the expression through by 2 in order to make sure that the coefficient of x^3 is 1

\begin{gathered} 2x^3\text{ + 10x}^2\text{ + 14x + 70} \\ \frac{2x^3}{2}\text{ + }\frac{10x^2}{2}+\text{ }\frac{14x}{2}\text{ + }\frac{70}{2} \\ x^3\text{ + 5x}^2\text{ + 7x + 35} \end{gathered}

Step 2: Factor the simplified expression in step 1

\begin{gathered} \text{ x}^3\text{ + 5x}^2\text{ + 7x + 35} \\ \text{ Factor}^\text{ x}^2\text{ out in the expression} \\ x^2(x\text{ + 5\rparen + 7\lparen x + 5\rparen} \\ \text{ \lparen x}^2\text{ + 7\rparen \lparen x + 5\rparen} \\ 2[(x^2\text{ +7\rparen\lparen x + 5\rparen\rbrack} \end{gathered}

Hence, the correct answer is option D

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