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sasho [114]
3 years ago
13

Evaluate the function rule to find the range of each function for the domain {-3, 0, 5}. f(x) = x² − 6x + 4

Mathematics
1 answer:
harina [27]3 years ago
5 0
Range is output for given input

domain is D={-3,0,5}
input -3,0 and 5 for x

f(-3)=(-3)^2-6(-3)+4
f(-3)=9+18+4
f(-3)=31

F(0)=(0)^2-6(0)+4

f(0)=0-0+4

f(0)=4


f(5)=(5)^2-6(5)+4

f(5)=25-30+4

f(5)=-1


Domain={-3,0,5}

Range={31,4,-1}



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Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
I have 3 more help please
ira [324]
Ok -13*-8 is 104.
-8*18q is 144q.
Combine an you get:
144q+104
3 0
2 years ago
Suppose f(x)=x^2 -8 evaluate f(2)-f(3)​
Westkost [7]

Answer:

f(2)= -4 f(3)= 1

Step-by-step explanation:

8 0
3 years ago
Select the correct answer from each drop-down menu.
Ivahew [28]

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Step-by-step explanation:

Given,

John wraps;

2 small boxes = 4 minutes

1 small box = \frac{4}{2} = 2\ minutes

In 20 minutes,

20 minutes = \frac{Total\ time}{Time per box} = \frac{20}{2}

20 minutes = 10 small boxes

Hank wraps;

3 small boxes = 5 minutes

1 small box =\frac{5}{3}\ minutes

In 20 minutes = \frac{Total\ time}{Time per box} = \frac{20}{5/3}

20\ minutes=\frac{20*3}{5}\\20\ minutes=\frac{60}{5}\\20\ minutes= 12\ small\ boxes\\

In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.

Keywords: division, multiplication

Learn more about division at:

  • brainly.com/question/1836777
  • brainly.com/question/2115122

#LearnwithBrainly

8 0
3 years ago
62,400 is what percentage of 156,000
STatiana [176]
62400 is what percent of 156000 
<span>= 62400 / 156000 </span>
<span>= 0.4 </span>

<span>Converting decimal to a percentage: </span>
<span>0.4 * 100 = 40%</span>
5 0
3 years ago
Read 2 more answers
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