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3 years ago

X^2 + 5x - 24 = 0 How do I solve by factoring

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

x = -8 or x = 3

Step-by-step explanation:

To factor ax² + bx + c, use AC method.

a times c is 1 × -24 = -24.

Factors of ac (-24) that add up to b (5) are 8 and -3.

Divide by a and reduce: 8/1 and -3/1.

Therefore, the factors are x + 8 and x − 3.

x² + 5x − 24 = 0

(x + 8) (x − 3) = 0

x = -8 or 3

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If y varies directly with x and y = 5 when x = 4, find the value of y when x = -8.

lilavasa [31]

Answer:

-10

Step-by-step explanation:

y= kx

or, k= y/x

or, k = 5/4

k = 1.25

y= kx = 1.25 × (-8) = -10

8 0

3 years ago

Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an

guapka [62]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
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4 0

4 years ago

Factor each completely? A2-7a-18

alisha [4.7K]

$a^{2} -7a-18$ (-9 + 2= -7, -9*2= -18)

(a - 9)(a + 2)

6 0

3 years ago

How do I solve this math problem?

Nat2105 [25]

Answer: 4x² + 4x - 2 - $\frac{3}{2x+3}$

Step-by-step explanation:

You can use either synthetic or long division. I am using synthetic division:

2x + 3 = 0 ⇒ x = $-\frac{3}{2}$

$-\frac{3}{2}$ | 4 10 4 -6

| ↓ -6 -6 3

4 4 -2 -3 ← -3 is the remainder

↓ ↓ ↓

4x² +4x -2 ← factored polynomial

3 0

3 years ago

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the

Akimi4 [234]

Letting $x=t$ , we get $y=3x^2=3t^2$ and $z=7x^2+y^2=7t^2+(3t^2)^2=7t^2+9t^4$ , so we can parameterize the intersection by

$\mathbf r(t)=\langle t,3t^2,7t^2+9t^4\rangle$

where $-\infty$ .

Image attached.

5 0

3 years ago