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lesya [120]
3 years ago
13

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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Evaluate 1/3 * 5/6 in fraction form
andreev551 [17]

Answer:

= 6 over 23 (or = 6/23

Step-by-step explanation:

Convert mixed numbers to improper fractions 3 5/6 = 23/6

Convert element to fraction

= 1 divide 23/6

Apply the fraction rule: a/b divide c/d = a/b x d/c

= 1 over 1 (or 1/1) divide 23/6

Apply rule a/a = 1

= 1 over 1 (or 1/1) x 6/23

Multiply 1x 6/23 = 6/23

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ANSWER 6/23

Hope this helps!

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3 years ago
Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

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