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lions [1.4K]
3 years ago
14

Use the zero product property to find the solutions to the equation

Mathematics
2 answers:
8090 [49]3 years ago
7 0
<span>2x2 – x – 15 = x(x + 1)
x2  - 2x - 15 = 0
(x - 5)(x + 3) = 0

x  = -3 , 5

Its C

</span>
Volgvan3 years ago
3 0

Answer:

Step-by-step explanation:

We are given an equation , so we first need to simplify the equation

lets distribute the x on parenthesis first

2x^2 -x- 15 = x^2 + x.

Now bring all terms to the left so we get

2x^2-x-15-x^2-x=x^2+x-x^2-x

x^2-2x-15=0

Now since all terms are in one side , so we now factor the equation

(x-5)(x+3)=0

Now apply the zero product property to get

x-5=0 or x+3=0

x=5 or x=-3

solution x=-3 or x=5

C

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GarryVolchara [31]

Answer:

C

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = \frac{1}{x+5} - 1 ( add 1 to both sides )

y + 1 = \frac{1}{x+5} ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = \frac{1}{y+1} ( subtract 5 from both sides )

x = \frac{1}{y+1} - 5

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = \frac{1}{x+1} - 5 where x ≠ - 1

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6 0
3 years ago
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

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2 years ago
Which is equivalent to sqrt x^10<br> A. X-5<br> B. X -1/5<br> C. X sqrt 10<br> D. X 1/5<br> E. X^5
Lesechka [4]
<h3>Answer:  E) x^5</h3>

\sqrt{x^{10}} = x^5

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is \sqrt{a^b} = a^{b/2}

A more general rule is

\sqrt[n]{a^b} = a^{b/n}

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

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3 years ago
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