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Yuri [45]
3 years ago
7

I need help really fast plz ​

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer: E: all of these are factors

Step-by-step explanation:

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In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
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Jamie has 6 pairs of boots.

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3 0
3 years ago
Part 3: Use the information provided to write the vertex formula of each parabola. Please show the work
rodikova [14]

Answer: 1. y = 2(x + 4)² - 3

              \bold{2.\quad y=-\dfrac{1}{3}(x+8)^2-7}

              \bold{3.\quad y=-\dfrac{1}{2}(x-7)^2+1}

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

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

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus  

    \bullet\quad a=\dfrac{1}{4p}

1)

\text{Vertex}=(-4,-3)\qquad \text{Directrix}:y=-\dfrac{25}{8}\\\\\text{Given}:(h, k)=(-4, 3)\\\\p=\dfrac{-24}{8}-\dfrac{-25}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2

Now input a = 2  and  (h, k) = (-4, -3) into the equation y = a(x - h)² + k

y = 2(x + 4)² - 3

******************************************************************************************

2)

\text{Vertex}=(-8,-7)\qquad \text{Directrix}:y=-\dfrac{-25}{4}\\\\\text{Given}:(h, k)=(-8, -7)\\\\p=\dfrac{-28}{4}-\dfrac{-25}{4}=\dfrac{-3}{4}}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-3}{4})}=\dfrac{1}{-3}=-\dfrac{1}{3}

Now input a = -1/3  and  (h, k) = (-8, -7) into the equation y = a(x - h)² + k

\bold{y=-\dfrac{1}{3}(x+8)^2-7}

******************************************************************************************

3)

\text{Focus}=\bigg(7,\dfrac{1}{2}\bigg)\qquad \text{Directrix}:y=\dfrac{3}{2}

The midpoint of the focus and directrix is the y-coordinate of the vertex:

\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1

The x-coordinate of the vertex is given in the focus as 7

(h, k) = (7, 1)

Now let's find the a-value:

p=\dfrac{2}{2}-\dfrac{3}{2}=\dfrac{-1}{2}}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}

Now input a = -1/2  and  (h, k) = (7, 1) into the equation y = a(x - h)² + k

\bold{y=-\dfrac{1}{2}(x-7)^2+1}

7 0
3 years ago
According to Masterfoods, the company that manufactures M&amp;M’s, 12% of peanut M&amp;M’s are brown, 15% are yellow, 12% are re
Anna35 [415]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

5 0
3 years ago
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