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densk [106]
2 years ago
8

Samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies

per hour.
write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.
Mathematics
1 answer:
Veronika [31]2 years ago
3 0

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

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There are nine counters in a bag numbered from one to nine. If a counter is drawn at random from the bag what is the probability
GREYUIT [131]

Step-by-step explanation:

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5 0
3 years ago
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

8 0
3 years ago
The GCF of 15 and 27 is _____.
daser333 [38]
The GCF if 3.  Please mark Brainliest!!!
3 0
3 years ago
Read 2 more answers
Write in standard notation (1/sqrt2-1/sqrt2 i)^6
vesna_86 [32]
Hello,

z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
======================================================
7 0
3 years ago
Please show all work and explanation.<br><img src="https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D-4%5Cfrac%7B3%7D%7B5%7D" id="Te
Olin [163]

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

1\frac{13}{20}

--------------------------------------------------------------------------------------------------------------

<u><em>*Please mark brainliest if that helped!*</em></u>

8 0
3 years ago
Read 2 more answers
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