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Ivanshal [37]
4 years ago
5

How to simplify g(x) = -2(x-1)(x+5)

Mathematics
1 answer:
Nadya [2.5K]4 years ago
7 0

Answer:

x=1 and x=-5

Step-by-step explanation:

To finally get the answer we will set everything equal to 0 so we will get

-2 = 0

This is an extraneous solution aka an answer that just doesn't make sense so we disregard the answer. This is really only useful to do if there is an x on the outside of the parenthesis.

x-1 = 0

add 1 on both sides

x-1

x+5=0

subtract 5 on both sides

x=-5

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A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p
olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40                2

41-45               14

46-50               18

51-55               12

56-60                4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= 2+14+18+12+4= 50

Vehicles travelling at speed of 41-45 mph= 14

Formula;  percent of vehicles traveling between 41 and 45 mph= \frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100

⇒ Percent of vehicles traveling between 41-45 mph= \frac{14}{50} \times 100= 14\times 2

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0
3 years ago
What is 7 2/15 + 5 2/3 + 9 13/15
WITCHER [35]
The answer is 22/2/3

8 0
3 years ago
The ray XZarrowright is the ANGLE BISECTOR of ∠WXY and m∠WXY = 165°. Enter m∠WXZ.
mariarad [96]

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.^{}ly/3a8Nt8n

7 0
3 years ago
The answer and how to get the answer
Advocard [28]

Answer: Answer is below (decimal form is 3.3)

Step-by-step explanation: Explanation is below.

5 0
3 years ago
Help help help help help​
wariber [46]

Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         = \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\  y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}

2) (3 , -4) ; m= 3

y - y_{1} = m(x - x_{1})

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = \frac{0 - 3}{2-[-1]}

         = \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

5 0
3 years ago
Read 2 more answers
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