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kobusy [5.1K]
3 years ago
10

What value of c makes the polynomial below a perfect square?

Mathematics
1 answer:
ira [324]3 years ago
6 0
The value for c is A. 49.  That comes from the process of completing the square where you take half the linear term, square it, and add it in.  Our linear term is 14.  Half of 14 is 7, and 7 squared is 49.  So A
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Which value from the set {1/2, 2/3, 4/3, 5/2} is a value of x that will the equation 3/4 ÷ × = 9/8 true?
Vitek1552 [10]

Answer:

2/3

Step-by-step explanation:

To find out what x is in this case, divide 3/4 by 9/8.

3/4 / 9/8

Dividing by a fraction is the same as multiplying it's inverse.

3/4 * 8/9

Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)

1/1 * 2/3

We can remove the 1/1.

2/3

2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.

6 0
3 years ago
Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1
emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

<u>Solution:</u>

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 \times amount for 1 load of laundry + 1 \times amount for 1 load of dish = 27

\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 \times amount for 1 load of laundry + 9 \times amount for 1 load of laundry = 31  ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n  = -159  

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

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3 years ago
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Difference between 6- 36's & 4-36's would be 2-36's
Which would be equal to 72.
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Answer:

Step-by-step explanation:

(12,5)

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Using the following conversions between the metric and U.S. systems, convert the measurement.
Dominik [7]

Answer:

It's 23.131 KL

3 0
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