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3 years ago

Which statements about the function are true? choose three options.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

3 0

Answer:b

Step-by-step explanation:

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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,

$\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}$

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0

1 year ago

Add. 10.452 + 6.3 Enter the exact sum

Ksivusya [100]

16.752 is the sum to this

8 0

2 years ago

Read 2 more answers

For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?

lys-0071 [83]

F(x) = -52x + 4

g(x) = -12x - 4

To find the solution of the system of equation, we have to just equate the equation to each other.

f(x) = g(x)

-52x + 4 = -12x - 4

-52x + 12x = - 4 - 4

-40x = -8

x = $\frac{-8}{-40} = \frac{8}{40} =\frac{1}{5}$

x = 0.2

7 0

3 years ago

Read 2 more answers

If ABCD is a parallelogram, m A B (3x + 4)º D xº C Equation: X= (PLEASE HELP)

steposvetlana [31]

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

7 0

3 years ago

Ms. Jan brought in cookies of her class. She gave out half of them in the morning. At lunch, she gave out 12 more. She then had

Svetach [21]

Answer:

Jan brought 44 cookies

Step-by-step explanation:

To solve this problem, we need to work backwards. First, we have 10 cookies left at the end of the day. At lunch, she gave away 12 cookies. This means that Ms. Jan had 22 cookies at lunch since

10 + 12 = 22

In the morning, Ms. Jan gave out half of her cookies. This means that she started with twice as many cookies as she had at the beginning of lunch.

22 x 2 = 44

Ms. Jan brought 44 cookies.

7 0

3 years ago