All categories

3 years ago

Show all work. What are the zeros of the function? f(x) = 2x^2 − 8x − 10

1 answer:

3 0

(2x² - 8x - 10) ÷ 2 = 0
x² - 4x - 5 = 0
x² + x - 5x - 5 = 0
x(x+1) - 5(x+1) = 0
(x+1)(x-5) = 0
x+1 = 0 or x-5 = 0
x = -1 or x= 5

S = {-1;5}

You might be interested in

Use a protractor to find the measure of the largest angle in the figure. Write it in degrees.

Svetradugi [14.3K]

What you can put is an obtuse 108 degrees

5 0

4 years ago

Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 d

lana66690 [7]

B. She is correct. The remaining angle of the triangle measures less than 90 degrees.

8 0

3 years ago

Read 2 more answers

In his free time. Gary spends 8 hours per week on the internet. and 11 hours per week playing video games. If Gary has 5 hours o

alexandr402 [8]

18% I believe. Because you do the math then you rounded out and then I get 18%

7 0

3 years ago

Read 2 more answers

Kwan uses a balance scale to solve an equation, as shown. Which value of x best represents the solution to the equation?

sukhopar [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers