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Fynjy0 [20]
3 years ago
11

What's -6(3x-5)? I can't seem to piece the answer together.

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
5 0
Hola!

-6 (3x - 5)

[ simplifying. ]

-18x + 30

hope it helps!
marta [7]3 years ago
4 0
<span> -6(3x - 5)

<u>Distribute -6</u>:
= - 18x + 30

Answer:</span> - 18x + 30
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Solve each inequality, and then drag the correct solution graph to the inequality.
Nesterboy [21]

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

8 0
2 years ago
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°
viva [34]
D hope this helps man
4 0
2 years ago
Which function is even? Check all that apply.
iris [78.8K]

im pretty sure its

(A) y=cos x

(B) y=sec x

5 0
2 years ago
I WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER
dimaraw [331]

Answer: Linear

Step-by-step explanation: A linear function can have different rates of change over different intervals.

(I don't know if this is correct, but this is my understanding of it.)

5 0
3 years ago
PLS PLS HELP ME!!!
LenaWriter [7]

Answer:

32, 64)

O (2-4)

0 (-2,-4)

O (-32, 64)

4 0
2 years ago
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