MATHEMATICS HIGH SCHOOL

A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?A. 1/2
B. 4/3
C. 3
D. 12

Answers

Answer 1
Answer:

Using a proportional relationship, the constant of variation is given as follows:

C. 3

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

If the measures are inverse proportional, the relation is:

y = k/x

A quantity h varies directly with w and inversely with p, hence the quantity h is given by:

h = kw/p

h = 2, w = 4, and p = 6, hence we can solve for the constant k.

2 = 4k/6

4k = 12

k = 3.

Hence option C is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

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Answer 2
Answer:

Answer:c

Step-by-step explanation:

Took test on edg

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The sum of 3 consecutive odd integers is 87.Find the equation used to solve this problem and the three integers.

Answers

the first odd integer is x. The next odd integer will be x+2. and the next is x+4. Then we can say that (x)+(x+2)+(x+4)=87 
working that out yields 3x+6=87 
and thus 3x=81
and by consequence x=27

and thus our 3 odd integers are 27,29 and 31
Let be y - 2, y and y + 2 the 3 consecutives odd integers;
There sum is 3y, and, in the same time is 87 => y = 87/3 => y = 29 =>
y - 2 = 27; y + 2 = 31;
The 3 integers are : 27, 29, 31.

eight of 50 video recorders in an inventory are known to be defective. what is the probability you randomly select an item that is not defective?

Answers

42 out of 50 is the probability of selecting a item that is not defective or if you need that in percent form it is 84% and in decimal form it is 0.84

WILL GIVE BRAINLIEST ANSWER!!!!Which of the following points satisfies the inequality 2x - 3y < 1?

(-2,1)
(1/2, 0)
(2, -1)

Answers

Check first one:
2(-2)- 3(1) < 1
-4 -3 < 1
-7 < 1
This is true, let's check others, just to be sure
Check second one:
2(1/2) - 3(0) < 1
1 - 0 < 1
This is false
Check third one :
2(2)- 3(1) < 1
4- 3 < 1
This is false

So answer is (-2,1)
(-2,1) satisfies
2×-2-3×1=-7
-7<1

What is percent is 14 out of 25?

Answers

Answer:

56%

Step-by-step explanation:

14/25=0.56=56%

Answer:

The answer is 56

Step-by-step explanation:

Percentage Calculator: 14 is what percent of 25? = 56.

The function h(m)=10+4m represents the height of a vine, in centimeters, m months after the vine was transplanted.What does the value 10 represent in this situation?

The vine grew for 10 months.

The vine grows 10 cm each month.

The vine was 10 cm tall when it was transplanted.

The vine was 10 months old when it was transplanted.

Answers

The vine was 10 cm tall when it was transplanted.
after 0 months, the height is 10
that means that it was initially 10 centimeters
it was 10cm when it was translpanted

If f(x) is a polynomial with real coefficients and zeros of 4(multiplicity 2 ), -1(multiplicity2 ),-1+8i , and 2-2i, what is the minimum degree of f(x) ?

Answers

Answer:

The minimum degree of polynomial f(x) = 6

Step-by-step explanation:

Multiplicity for a polynomial equation is the number of times the polynomial has that particular root.

The roots of this polynomial is given as

4(multiplicity 2 ), -1(multiplicity2 ), (-1+8i), and (2-2i)

Hence, the true roots of this particular polynomial are 4, 4, -1, -1, (-1+8i), and (2-2i)

Making a total of 6 roots.

The number of roots of a polynomial is the minimum degree of such a polynomial.

Hence, the minimum degree of this polynomial is 6.

Hope this Helps!!!
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