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inna [77]
3 years ago
13

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0
Y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3
You might be interested in
Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of t
Roman55 [17]

Answer:

7 groups, 3 boys and 8 girls

Step-by-step explanation:

Let total number of groups be x

and total hikers in one group be y

if number of girls and boys in every group is same, then

\frac{21}{x} + \frac{56}{x} = y

\frac{21 + 56}{x} = y\\x*y = 77 ....(1)

from (1) x will either be 11 or 7

for x = 11 the values won't be real.

For x = 7\\y = \frac{77}{7} \\y = 11

so there will be 7 groups with 11 hikers in each groups and every group will have \frac{21}{7} = 3 boys and \frac{56}{7} = 8 girls

6 0
3 years ago
Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =
lyudmila [28]

Answer:

The absolute minimum value is "-\frac{21}{4}" and the absolute maximum value is "15".

Step-by-step explanation:

Given:

f(x)=x^2-x-5

on,

[0,5]

By differentiating it, we get

⇒ f'(x)=2x-1

Set f'(x)=0

then,

⇒ 2x-1=0

          2x=1

            x=\frac{1}{2} (Critical point)

When x=0,

⇒ f(x)=-5

When x=\frac{1}{2},

⇒ f(x)=-\frac{21}{4} (Absolute minimum)

When x=5

⇒ f(x)=15 (Absolute maximum)

7 0
3 years ago
Ray created the list of factors for 48 below.
noname [10]
48 Is the answer that should be removed !
4 0
3 years ago
Read 2 more answers
Find the length of YZ
emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

Good luck to you!
5 0
3 years ago
2x - 5y = - 15
UkoKoshka [18]

Answer:

2x+15=5y

y=(2x+15)/5

hope this helps

7 0
3 years ago
Read 2 more answers
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