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Alexxx [7]
3 years ago
12

Use the given x and y values to write a direct variation equation. x = 5, y = 25

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

Helga [31]3 years ago
7 0

Answer:

Equation of direct variation is : \mathbf{y=5x}

Step-by-step explanation:

We are given: x= 5 and y=25

We need to write equation of direct variation.

The formula for direct variation is: \mathbf{y=kx}

So, if y=25 and x=5, k will be:

y=kx\\25=k(5)\\k=\frac{25}{5}\\k=5

So, equation of direct variation is : \mathbf{y=5x}

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Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes
gavmur [86]

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

6 0
2 years ago
Solve the equation a/a^2-9 +3/a-3=1/a+3
MAXImum [283]
Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4
7 0
3 years ago
A company that makes boxes finds that 6 out of 8 boxes are damaged.What percent of the boxes are damage?
Elanso [62]
8 boxes is 100%, 6 out of 8 is 6/8 x 100% = 75%
7 0
3 years ago
What is the image of (-8,6) after a translation over the line y=-x
stira [4]

Answer:

(-6, 8)

Step-by-step explanation:

(x, y) --> (-y, -x)

(-8, 6) --> (-6, 8)

Therefore, (-6, 8)

I hope this helped and have a good rest of your day!

8 0
3 years ago
below is a graph of a logarithmic function, identify it key characteristics. match accordingly.that is the question and can you
Zolol [24]

End behavior: f. As x -> 2, f(x) -> ∞; As x -> ∞, f(x) -> -∞

x-intercept: a. (3, 0)

Range: p. (-∞, ∞)

The range is the set of all possible y-values

Asymptote: x = 2

Transformation: l. right 2

with respect to the next parent function:

g(x)=\log _{\frac{1}{3}}(x)

Domain: g. x > 2

The domain is the set of all possible x-values

4 0
1 year ago
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