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3 years ago

What factors of -52 have the sum of -9

Mathematics

1 answer:

nevsk [136]3 years ago

8 0

Answer:

Step-by-step explanation:

13 and 4 in some combination.

The larger number must be minus.

The answer is - 13 + 4 which leaves you with - 9

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It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the recommended cooking time for

Alisiya [41]

Answer:

(a) T = (15 + 16p) minutes

(b) It will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

Step-by-step explanation:

(a) To determine the total time T needed to preheat the oven and then bake a turkey weighing p pounds

We will sum the time needed to preheat the oven to the time needed to bake the turkey.

From the question,

It takes 15 minutes to preheat the oven to 325 degrees;

Also,

It takes 16 minutes per pound to bake a turkey in the preheated oven.

That is, to bake a turkey weighing p pounds in the preheated oven, it will take

p pounds × 16 minutes / pound = 16p minutes

Hence, the total time T needed to preheat the oven and then bake a turkey weighing p pounds is

T = 15 minutes + 16p minutes

T = (15 + 16p) minutes

This is the formula that express the total time T, in minutes, needed to preheat the oven and then bake a turkey

(b) To find the approximate time required to prepare a turkey weighing 14 pounds.

From the formula in (a)

T = (15 + 16p) minutes

where p is the weight in pounds of a turkey

Then,

T = 15 + 16(14)

T = 15 + 224

T = 239 minutes

Hence, it will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

7 0

3 years ago

Passes through (1,12) and has a vertex (10,-4)

agasfer [191]

Answer: 16/81 (x-10)^2 -4

Step-by-step explanation:

To write a vertex equation with just a point and the vertex, you have to figure out the variables.

In vertex form, the equation is y = a (x-h)^2 + k

Your y is 12, x = 1, h = 10, and k = -4

Plug everything into equation

12 = a (1 - 10)^2 -4

12 = a (-9)^2 - 4

12 = 81a - 4

16 = 81a

16/81 = a

Now you know what the 'a' value is.

If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!

I hope this helps!

3 0

3 years ago

Beau buys a 3-pound bag of trail mix for a hike. He wants to make one-ounce bags for his friends with whom he is hiking. How man

zavuch27 [327]

1 pound=16 ounches
3 times 16=48
48 ounces means 48 one ounce bags

7 0

3 years ago

Read 2 more answers

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

3 years ago

Rotation 180 about the origin E(2,-2), J(1,2), R(3,3), S(5,2)

hammer [34]

E' (-2, 2) , J'(-1, -2) , R'(-3,-3) , S'(-5, -2)

6 0

3 years ago