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andreev551 [17]
2 years ago
15

Solve each inequality, and then drag the correct solution graph to the inequality.

Mathematics
1 answer:
Nesterboy [21]2 years ago
8 0

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

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Take  2 points: (0, 70) (30, 80)

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10 / 30

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3 years ago
X^2-x=12 what is one of its solutions
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Answer:

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Step-by-step explanation:

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A 2X2 matrix M is given by (ab) lcd) Given that a = 19, b = 24 and c = 38, what is the value of d such that the matrix Mis singu
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Answer:

Value of d is:

48

Step-by-step explanation:

We are given a matrix M as:

M=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]

We are given that:

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We have to find the value of d so that M is singular

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Answer:

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Step-by-step explanation:

We can do a test:

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Now we get:

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If we subtract 5 minus 5 we will obtain zero, and so we proceed to do the same with two following numbers, we replace the obtained value and then we make the difference between them.

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