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3 years ago

Which number is NOT in the solution set of the inequality x < −10?

Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

answer is option A

becoz solution set is x < -10 where -5 > -10 so -5 is not in solution set

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A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.

gizmo_the_mogwai [7]

Answer is 7/16.
Add number of fruit total to get denominator. Add number of oranges and pears to get numerator.

8 0

4 years ago

Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?

fomenos

Answer:

8 inches,

Step-by-step explanation:

2 2/3 = 8/3.

3 * 8/3

= 8 inches,

7 0

3 years ago

Find m∠ABD and m∠CBD given m∠ABC = 111∘.

sineoko [7]

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

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

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD = = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

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3 years ago

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Dylan owes half as much money as he used to owe. If he used to owe $28, which of the following expressions would reflect how muc

IrinaVladis [17]

Answer:

it is the second one i had this question. mark as brainliest

Step-by-step explanation:

8 0

3 years ago

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