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Lelechka [254]
3 years ago
15

For each menu item at a fast food restaurant, the fat content (in grams) and the

Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

Answer:

The answer is "Option a".

Step-by-step explanation:

please find the attached file.

In the given question, the positive correlation shows the scatterplot and, by adding six now higher calories, low-fat pasta, is the positive value for the new correlation of the coefficient will be decreasing.

In this question, the points are more close to the line and increasing from left to right, which can be mostly like, that's why the choice "a" is correct.

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Step-by-step explanation:

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Factor completely<br> x2+ 9x + 20
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(x + 5) (x + 4)

Step-by-step explanation:

Simplify the following:

x^2 + 9 x + 20

The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):

Answer: |

| (x + 5) (x + 4)

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An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?
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What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10 ?
Mademuasel [1]

Answer:

(x-6)^{2}=20(y+5)^{2}


Step-by-step explanation:

The standard for for the equation of a parabola is  (x-h)^{2}=4p(y-k)

The focus is given as  (h, k+p)

The directrix is given by y=k-p

  • Comparing focus given as (6,0)  to formula of focus (h,k+p) , we see that h=6 and k+p=0
  • Comparing directrix given as y=-10  to formula of directrix y=k-p , we can write k-p=-10

We can use the two system of equations [ k+p=0  and  k-p=-10 ] to solve for k  and  p.

<em>Adding the two equations gives us:</em>

2k=-10\\k=\frac{-10}{2}\\k=-5

<em>Using this value of k , we can find p  by plugging this value in either equation. Let's put it in </em><em>Equation 1</em><em>. We have:</em>

k-p=-10\\-5-p=-10\\-5+10=p\\p=5


Now, that we know h=6  ,  k=-5  ,  and p=5  , we can plug these values in the standard form equation to figure out the parabola's equation. Doing so and rearranging gives us:

(x-6)^{2}=4(5)(y-(-5))^{2}\\(x-6)^{2}=20(y+5)^{2}\\

This is the equation of the parabola with focus (6,0)  and directrix  y=-10

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3 years ago
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