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Marizza181 [45]
3 years ago
14

Factor completely. 2ay 2 5ay - 3a

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0
Hello,

2ay²+5ay-3a=a(2y²+5y-3)
=a(2y²+6y-y-3)=a(2y(y+3)-(y+3))
=a(y+3)(2y-1)

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Consider the function below. f(x)= x^3 + 2x^2 - x - 2 plot the x and y intercepts of the function
dimulka [17.4K]

In the Figure below is shown the graph of this function. We have the following function:

f(x)=x^3+2x^2-x-2

The y-intercept occurs when x=0, so:

f(0)=(0)^3+2(0)^2-(0)-2=-2

Therefore, the y-intercept is the given by the point:

\boxed{(0,-2)}

From the figure we have three x-intercepts:

\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}

So, the x-intercepts occur when y=0. Thus, proving this:

f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0

7 0
3 years ago
Read 2 more answers
Kelly skated 4 laps in 86 seconds. Which of the following is an equivalent rate of skating?
ikadub [295]

Answer:

D: 10 laps in 215 seconds

Step-by-step explanation:

86/4 = 21.5 seconds per lap

I went through and multiplied each lap number by the time per lap and the last one, D is the right answer!

Have an amazing day!

Please rate and mark brainliest!

3 0
3 years ago
PLS HELP TIMED QUIZ The size of a television screen is given as the length of the diagonal. If a television is advertised as hav
grin007 [14]

Answer:

D.24

Pythagorean states:

hypotenuse^2 = side1^2 + side2^2

30^2 = 18^2 + side2^2

side2^2 = 30^2 - 18^2

side2^2 = 900 - 324

side2^2 = 576

side2 = sqr root 576

side2 = 24

Source: http://www.1728.org/pythgorn.htm

Step-by-step explanation:

5 0
3 years ago
As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He r
denpristay [2]

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

<em>Start by going through and testing each option</em>

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

<em>A) 2 is not possible.</em>

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

<em>B) </em>−<em>2 is not possible.</em>

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

<em>C) </em>−4<em> is not possible.</em>

<em>From this, D is looking like the answer. But to be sure, test it.</em>

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

<em>D) 4 is the answer.</em>

5 0
3 years ago
A playground has the shape of a trapezoid.
Dmitrij [34]

Answer:

  • short base: 6 yards
  • long base: 8 yards

Step-by-step explanation:

Our understanding of your figure is shown below.

The question says the "shortest side" and the "width" have the same dimension. If the "width" is a reference to "height 6 yards", then it seems the "shortest side" is 6 yards. Since the slant sides are longer than the height, the "shortest side" is also the "short base."

The short base is 6 yards.

__

The long base overhangs the short base by 1 yard on either end, so it is a total of 2 yards longer than the short base. It it 6+2 = 8 yards long.

The long base is 8 yards.

6 0
3 years ago
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