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Nadya [2.5K]
3 years ago
13

Factor 3x2 + 42x + 147 completely.

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0
The correct answer is C
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Please include work!
geniusboy [140]

Answer:

x = ± 4

y = - 2

Step-by-step explanation:

y = 0.5x² - 10 ------------------------(I)

y = -x² + 14   ------------------------(II)

Substitute the y value in equation (II)

    0.5x² - 10  = -x² + 14           {Add x² to both sides}            

0.5x² + x² -10 = 14                  {combine like terms}

       1.5x² - 10 = 14                   {Add 10 to both sides}

               1.5x² = 14 + 10

                1.5x² = 24         {Divide both sides by 1.5}

               1.5x²/1.5 = 24/1.5

                       x² = 16

                      x = ±4

Substitute x = 4 in (I)

y = 0.5 * 4² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

Substitute x = -4 in (I)

y = 0.5 * (-4)² - 10

 = 0.5*16 - 10

 = 8- 10

y = -2

5 0
3 years ago
Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
Levart [38]

Answer:

(4,1)

Step-by-step explanation:

let J(6,6) be x1, y1

let K(2,-4) be x2, y2

midpoint = (x1+x2)/2 , (y1+y2)/2

=(6+2)/2 ,(6-4)/2

= 8/2 ,2/2

=4, 1

3 0
3 years ago
At the grocery store last week, SuperSugarSweet candy bars were priced at 4 bars for 5$. This week, they are on sale at 5 bars f
AURORKA [14]

The percent change would be 36%

<h3>What is percent change?</h3>

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

Given:

4 candy bars = 5$

1 candy bar = 5/4

1 candy bar = 1.25$

Now,

5 candy bars = 4$

1 candy bar =4/5

1 candy bar = 0.8$

% change = (0.8-1.25) / 1.25 *100

                  = 36%

Learn more about percent change here:

brainly.com/question/9144026

#SPJ1

8 0
2 years ago
The ages of people on the camp bus are listed. 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16 What is the mode of the ages? A. 10
Ghella [55]
A. 10 because it occurs the most times in the sequence and the other numbers don't have as many as the the number 10. 10 appears 3 times
8 0
3 years ago
Can someone help me on this mess...
serg [7]

Answer:

sas

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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