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a_sh-v [17]
3 years ago
8

-20y+6(4y-10) Module 1 study guide

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
-20+24y-60
\ /
\ /
4y-60
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The graph of the function f(x) = (x − 3)(x + 1) is shown.
Nutka1998 [239]
Option A. All the real values of x where x < -1

Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.

1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1

The intersection is x >3

2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1

the intersection is x<-1.

We have obtained that the function is positive for the intervals  x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.

You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the  first interval and increasing in the second interval.
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3 years ago
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5. 4
matrenka [14]

Answer:

x=1......................

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2 years ago
a moving company is hired to take 578 clay pots to a florist shop. the florist will pay the moving company a $200 fee, plus $1 f
mariarad [96]

Answer:

772 and they have to pay 24

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2 years ago
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Which is the equation of the parabola?
Umnica [9.8K]

Answer: y=-\dfrac{1}{8}(x - 2)^2 - 3

<u>Step-by-step explanation:</u>

The vertex form of a parabola is: y = a(x - h)² + k    where

  • (h, k) is the vertex
  • a=\dfrac{1}{4p}  

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}

Insert those values into the vertex formula to get:

y=-\dfrac{1}{8}(x - 2)^2 - 3

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3 years ago
My teacher split c pieces of candy among 23 students.<br> Writing Expressions with answers please.
Kryger [21]

Answer:

C times 23

Step-by-step explanation:

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