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3 years ago

Complete the missing value in the solution to the equation −4x−y=24

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

-4x-y=24= - 4 · (-7) - 4 = 24

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What number should be added to both sides of the equation to complete the square? X^2-10=7

Assoli18 [71]

I must assume that you meant <span>X^2-10x =7. If that is indeed the case, then:

</span>X^2-10x =7 => x^2 -10x + 25 - 25 = 7, so that (x-5)^2 = 32 (Add 25, then
subtract 25)
Then x-5 = plus or minus sqrt(16)sqrt(2) = 4sqrt(2).

Then x = 5 plus or minus 4 sqrt(2) (answers)

8 0

3 years ago

What is the solution <br><br> options:<br> a. (-2,-2)<br> b. (-1,-5)<br> c. (-5,-1)<br> d. (2,-1)

mina [271]

Answer: a. (-2, -2)

Step-by-step explanation:

The point at which the two lines intersects is at (-2, -2), which is the solution.

8 0

3 years ago

In 1846 the depth of the river was 2.5 feet deep. In 1847 it rose 9%. This year, 1848, it dropped 6%. How deep is the river now?

Virty [35]

Answer:

So the answer is 2.5615 feet.

Step-by-step explanation:

So the river is 2.5 feet deep, and when you find that 9% is, using the cross-multiplication formula to find the percent then 9% of 2.5 is 0.225, and when you add that to 2.5 you get 2.725, and when you find 6% of 2.725, you get 0.1635, and since it dropped, you subtract, and you end up with 2.5615

Hope I helped

8 0

2 years ago

Quick algebra 1 question for some points!

Kazeer [188]

$\frac{y}{x} = \frac{4}{ - 3} = \frac{8}{ - 6} = \frac{12}{ - 9} \\ this \: relation \: holds \: so \: y \: varies \\ directly \: with \: x$

$\frac{ 4}{3} m = \frac{8}{ - 6} \\ m = \frac{ \frac{ - 8}{6} }{ \frac{3}{ - 4} } = \frac{8 \times 4}{6 \times 3} = \frac{32}{18} = 2 \\ multipling \: by \: 2$

$\frac{y}{x} = \frac{ - 40}{ - 0.5} = \frac{8}{2.5} = \frac{5}{4} \\ \frac{y}{x} = 80 = 3.2 = 1.25 \\ this \: is \: untrue \: so \: y \: is \: not \\ varying \: directly \: with \: x$

$no \: constant \: of \: variation$

<h2>4)</h2><h2> $\frac{y}{x} = \frac{21}{3} = \frac{31.5}{4.5} = \frac{38.5}{5.5 \\ } \\ \frac{y}{x} = 7 = 7 = 7 \\ y \: varies \: directl y\: with \: x \\ consant \: of \: var = \frac{y}{x} = 7$ </h2><h2>5)</h2>

$\frac{y}{x} = \frac{30}{6} = \frac{35}{7} = \frac{96}{8} \\ \frac{y}{x} = 5 = 5 = 12 \\ y \: does \: not \: vary \: directly \: with \: x$

7 0

2 years ago

A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine th

maria [59]

Answer:

938

Step-by-step explanation:

Given that :

Amount spent by fair on thrill. Ride = $3000

Cost per token of thrill ride = $4

For the fair to make a profit of atleast $750

Then it must realize : (cost of thrill ride + $750) = ($3000 + $750) = $3750

Therefore ;

Cost per token * number of rise tokens ≥ $3750

Let number of ride tokens = x

4x ≥ 3750

4x/4 ≥ 3750/4

x ≥ 937.5

Hence, number of tokens that must be sold = 938

4 0

2 years ago