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Gennadij [26K]
3 years ago
15

Write the equation 2y − 4x = 5 in the form y = mx +

Mathematics
2 answers:
Art [367]3 years ago
7 0
Starting with <span>2y − 4x = 5, solve for y.  To do this, add 4x to both sides, obtaining 2y = 4x+5.  Divide both sides by 2, obtaining

y = 2x + 5/2 (answer)</span>
tekilochka [14]3 years ago
5 0

Answer:

y=2x+\frac{5}{2}.

Step-by-step explanation:

We have been equation of a line in standard form of equation 2y-4x=5. We are asked to write our given equation in slope-intercept form of equation y=mx+b.

To convert our given equation in slope-intercept form, we need to separate y on one side of equation using opposite operations.

Add 4x on both sides:

2y-4x+4x=5+4x

2y=4x+5

Now, we will divide both sides of our equation by 2.

\frac{2y}{2}=\frac{4x+5}{2}

y=\frac{4x}{2}+\frac{5}{2}

y=2x+\frac{5}{2}

Therefore, our required equation would be y=2x+\frac{5}{2}.

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Complete the statement using always, sometimes, or never. A rectangle is __________________ a rhombus.
Lesechka [4]
Hi!

A rectangle can sometimes be a rhombus if it has sides of all equal lengths. If a rectangle was a rhombus, it would also be a square. Furthermore, a square is always a rhombus.

Hope this helps! :)
7 0
3 years ago
As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
3 years ago
What is the ratio of new books to used books?
skelet666 [1.2K]

Answer:

7 to 8

Step-by-step explanation:

7-15=8

6 0
2 years ago
The average annual snowfall in king salmon, Alaska is 45.9 inches. The snow season last about 7 months of a year. About how much
Gelneren [198K]
There is 45.9 inches of snow for the whole year 
so average / month  = 45.9 / 12 =  3.825 inches
7 0
3 years ago
Read 2 more answers
Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
likoan [24]

Answer: $4.50

Step-by-step explanation:

If she spent 10.50, and had 7.50 left, her total was 18.

$18/4=$4.50

8 0
2 years ago
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