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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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Can you show me the work to get this answer write two expressions that have a gcf of 8xy
BigorU [14]
1) Expression 1: 16x^3 y

2) Expression 2: 24 xy^5

Procedure:

1) find the greatest common factor of the coefficients, 16 and 24:

16 = 2^4

24 = (2^3)*3

=> greatest common factor = 2^3 = 8

2) find the greatest common factor of x^3 y and xy^5

That is the common letters each raised to the lowest power:

=> xy

3) Then, the result is 8xy


5 0
3 years ago
Which of the following is a geometric sequence?
IRISSAK [1]

Answer:

D

Step-by-step explanation:

Geometric sequence has to do with a pattern of multiplication, and D has a pattern of times 4 if that makes any sense

8 0
3 years ago
14
Arada [10]

Answer:

Gerrard

Step-by-step explanation:

Let the size of each poster be x

Eve's poster portion painted will be

=\frac{1}{6}\times x\\=\frac{x}6}

Gerrard's painted portion will be:

=\frac{1}{5}\times x\\=\frac{x}{5}

From the two inequalities, we find that \frac{x}{5} is greater than \frac{x}{6}  by x/30

\frac{x}{5}-\frac{x}{6}\\=\frac{x}{30}\\

hence Gerrard has the larger blue section. His portion is 16.67% greater than Eve's

6 0
3 years ago
The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
Please I just need help with these two problems
Oksana_A [137]

1.

3d-4+d=8d+12 \implies \\4d-4=8d+12 \implies-4d=16 \implies\\ d=-4

2.

f-6=-2f+3(f-2) \implies \\ f-6=-2f+3f-6 \implies\\  f-6=f-6 \implies\\ 0=0 \implies \text{ all real numbers are a solution to this problem}

7 0
3 years ago
Read 2 more answers
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