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3 years ago

6x – 2y = -8 and -3x + 4y = -11

Mathematics

1 answer:

frozen [14]3 years ago

5 0

Answer:

Step-by-step explanation:

{3 x + 4 = y, 3 x = 4 y + 11}

{y = 3 x + 4, y = (3 x)/4 - 11/4}

{2 (3 x - y) = -8, 4 y - 3 x = -11}

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which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help f

Alecsey [184]

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

$\frac{3}{4}+m=-\frac{7}{4}$

We solve for m to obtain:

$m=-\frac{7}{4}-\frac{3}{4}=-2.5$

We also solve the remaining equations to see which ones give the same result.

A: $m=\frac{10}{4} =2.5$

B: $m=-\frac{10}{4} =-2.5$

C: $m=-\frac{5}{2} =-2.5$

D: $\frac{11}{4}+m=-\frac{1}{4}$

$m=-\frac{1}{4}-\frac{11}{4}=-3$

E: $-\frac{5}{4}+m=-\frac{15}{4}$

$m=-\frac{15}{4}+\frac{5}{4}=-2.5$

F: $m+2=-0.5$

$m=-0.5-2=-2.5$

The equivalent equations are; B,C,E, and F.

3 0

3 years ago

Read 2 more answers

The shadow of the moon during a solar eclipse travels 2300 miles in one hour in the first 20 minutes the Shoadow traveled seven

Kazeer [188]

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Step-by-step explanation:

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3 years ago

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

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3 years ago

Create a ratio table to solve the following rate problem.

rusak2 [61]

Answer:

1=18 ×3= <u><em>3years=54inches in growth</em></u>

6 0

3 years ago

Answer?......................

erica [24]

Answer:

Step-by-step explanation:

6( n^2 +2)

-----------------

Let n = 3

6( 3^2 +2)

-----------------

Parentheses first

6( 9 +2)

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-----------------

Top of the fraction next

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2 years ago