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sergij07 [2.7K]
4 years ago
7

4c^2-8c-1=0 complete the square round to nearest hundredth

Mathematics
1 answer:
olga55 [171]4 years ago
8 0
Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2

c=2.12 or -0.12
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Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the
Citrus2011 [14]

Answer:

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

Step-by-step explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay.  In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

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4 years ago
Jake is buying a piece a recycle art from Lana he is starting by giving her $50 and farmers to pay her five dollars a week until
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Answer:

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Step-by-step explanation:

8 0
4 years ago
9. Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enou
Ipatiy [6.2K]

Answer:

The number of ways are 210.

Step-by-step explanation:

Consider the provided information.

Brett has ten distinct T-shirts. He is planning on going on a short weekend trip to visit his brother in college. He has enough room in his bag to pack four T-shirts.

Since order doesn't matter so we will use combination.

Use the formula for combination ^{n}C_{r}=\frac{n!}{r!(n-r)!}

Substitute n=10 and r=4 in above formula.

^{10}C_{4}=\frac{10!}{4!(10-4)!}

^{10}C_{4}=\frac{10!}{4!6!}

^{10}C_{4}=210

Hence, the number of ways are 210.

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I haven't learn this yet but maybe try asking desmos that app helps me a lot!

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