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Oksanka [162]
3 years ago
11

Find the equation of the line that is perpendicular to y = -2x + 6 and passes though the point (-42

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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Amber plans to cook a turkey and macaroni and cheese for a special dinner. Since
guapka [62]

Answers

:

a. what do variables x and y represent? use the phrase ‘is a function of’ to describe how the two quantities relate to each other.

answer: y is a function of the total cooking times Amber will need to prepare her dishes. x is a function of the certain number of minutes it will take to cook the turkey per pound.

b. what does the value 40 represent?

answer: how long the mac and cheese will cook

c. what does the rate of change represent?

answer: for every pound that the turkey weighs, you would have to cook it for 15 minutes

d. what is the total cooking time for just the turkey if it weighs 12 pounds? how do you know?

answer:

y = 15x + 40

y = 15(12) + 40

y = 180 + 40

y = 210 minutes

6 0
3 years ago
Buzz is buying 143 sodas for his pool party.They sold in packs of 12 and 35. pack of 35 is $12.58 and pack of 12 is $7.19.How ma
stich3 [128]
He should buy 4 packs of 35ct.And 1 pack of 12ct he may have some extra

8 0
3 years ago
Read 2 more answers
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends).
HACTEHA [7]

Solution :

a).

1. The domain of C(x)

   $x \in [0, \infty)$

Range of c(x) is $[0, \infty)$

Since the negative value do not make any sense.

2. C(x) =  Ax + b

  Intercept here denotes the fixed cost (that is when x = 0)

  The slope indicates the marginal cost (that is increase in cost per unit of quantity)

3. Revenue is maximum marginal revenue = 0

(that is when at the top of the parabola)

4. Profit = R(x) -C(x)

5. Range of P(x) is important so that we have the idea in mind about the maximum loss and the maximum profit for a particular quantity.

6 and 7 -- insufficient data.

4 0
3 years ago
A box contains 42 red counters, 90 yellow counters and no other counters.
Luba_88 [7]

Answer:

1, 2, 3, 6

Step-by-step explanation:

This questions is asking the GCF of 42 and 90. To find them, we have to find all their factors.

<u>42</u>                      <u>90</u>

1, 42                  1, 90

2, 21                  2, 45

3, 14                  3, 30

6, 7                   5, 18

                         6, 15

                         9, 10

Now we find the numbers that match up.

They both share 1, 2, 3, and 6 thus this is our answer

8 0
2 years ago
Solve the boundary value problem <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%5E%7B2%7Dy%7D%7Bdx%5E%7B2%7D%7D%20%2B%204%20%5
Sonja [21]
Characteristic equation:

r^2+4r-5=(r+5)(r-1)=0\implies r=-5,r=1

\implies y_c=C_1e^{-5x}+C_2e^x

Given that y(0)=0 and y\left(\dfrac\pi2\right)=1, you have

\begin{cases}0=C_1+C_2\\1=C_1e^{-5\pi/2}+C_2e^{\pi/2}\end{cases}\implies C_1=\dfrac{e^{5\pi/2}}{1-e^{3\pi}},C_2=-\dfrac{e^{5\pi/2}}{1-e^{3\pi}}

so that the particular solution is

y=\dfrac{e^{5\pi/2}}{1-e^{3\pi}}(e^{-5x}-e^x)
6 0
3 years ago
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