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Irina18 [472]
3 years ago
7

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

od of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

a

Step-by-step explanation:

SashulF [63]3 years ago
5 0
We are asked in the problem to determine the number of quarters that are needed to complete 4975 units given the equation y = x6 − 25x4 + 199x2 where y is the number of manufactured units and x is the number of quarters needed. 
substituting y = 4975, we find x. <span>x is readily found using calculator.</span>
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Please help me with this question.
Vesna [10]

Answer:

3 to 9

second is 2.5 to 15

Step-by-step explanation:

3 0
3 years ago
What is the slope of the linear function 5x + y = 9?<br> a. 1<br> b. -5<br> c. 5<br> d. 9
Novay_Z [31]

Answer:

b. because m = -5

Step-by-step explanation:

y = -5x +9

m (gradient) is the coefficient before the 'x' term

7 0
2 years ago
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What is the solution to the system of equations represented by the two equations?
nexus9112 [7]
Just substitute the first equation into the second and solve for x: <span><span>32</span>x=−<span>12</span>x+4⟹2x=4⟹x=2</span><span>Now, since y = 3/2 * x, we have y = 3 and we are done.</span>
8 0
3 years ago
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
Arturiano [62]

Answer:

<u>A. When Rita started, she had 7 packages of saplings.</u>

<u>B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

<u>When Rita started, she had 7 packages of saplings.</u>

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0
3 years ago
A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​$34. How many of each type of bil
jeka57 [31]

Solution:

we are given that

A student has some​ $1 and​ $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth ​$34.

So we can write

x+y=14

x+5y=34

Now solve these two equations together using substitution as follows

14-y+5y=34\\&#10;\\&#10;4y=34-14\\&#10;\\&#10;4y=20\\&#10;\\&#10;y=5\\&#10;\\&#10;x=14-y=14-5=9\\

Hence there are 9 $1 bills and 5 bills are of $5.

5 0
3 years ago
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