Given that Y = 2x^2-96, find x

Answers

Answer 1

Answer: This isn't an equation, so you cannot "solve for x." However, you can factor, as follows:

y = 2(x^2-49) = 2(x-7)(x+7)

If you decide to set this = to zero, then you can solve for x: {-7, 7}.

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Write all the integers greater than 25/4
Multiply 4/9 x 1 & 4/5 x 2/5 A. 1 & 32/45 B. 7/16 C. 8/25 D. 1 & 10/19
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How many hours between 8:15 to 12:45 ?

Answers

4.5
an hour to 9:15
one to 10
one to 11
one to 12
and .5 to 1215 to 1245

Subtract:

12h 45' -
08h 15'
-----------
04h 30'

Which transformations are needed to change the parent sine function to the sine function below?

Answers

A parent sine function y=a (x - h) + k ca be defined as
a is the amplitude.
h is the horizontal shift or the phase shift(shift to the left or right)
k is the vertical shift(shift up or down)

What inequality is equivalent to -3x+2y>5y+9

Answers

-3x + 2y > 5y + 9
- 5y - 5y
-3x - 3y > 9
-3x + 3x - 3y > 3x + 9
-3y > 3x + 9
-3 -3
y < -x + 3

-3x+ 2y > 5y+ 9
⇒ -3x > 5y -2y+ 9
⇒ -3x > 3y+ 9
⇒ x < (3y+ 9)/(-3)
⇒ x < -y -3

The inequality equivalent to -3x+ 2y > 5y+ 9 is x < -y -3~

I need help finding the missing information for a rhombus

Answers

Answer:

∠BCE = 28°
∠ABE = 62°
∠BAD = 56°

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, and bisect each of the vertex angles. Of course, adjacent vertex angles are supplementary.

Assuming E is where the diagonals cross, then we have ...

∠ABE = 124°/2 = 62°

∠BCE = 90° -62° = 28°

∠BAD = 2·28° = 56° . . . (= 180° -124°)

Three of the angles of a quadrilateral are 53°, 127° and 72°. What is the size of the 4th angle?

Answers

The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108

There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?

Answers

Answer:

Step-by-step explanation:

Let a represent the length of board a.

Let y represent the length of board b.

The total length of both is 28 feet. This means that

a + b = 28

Board b is at least 5 feet longer than board a. This means that

b ≥ a + 5

The difference between both boards is not more than 12 feet. This means that

b - a < 12

Substituting a = 28 - b into b ≥ a + 5, it becomes.

b ≥ 28 - b + 5

2b ≥ 28

b ≥33/2

b ≥ 16.5

16.5 - a < 12

4.5 < a

a > 4.5

The possible lengths of board a is

8 to 11.5 feet

The possible lengths of board b is

16.5 to 20 feet

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