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3 years ago

Factor (Reverse Distribute): 5x−5y y(5x−5) xy(5−5) 5(x−y) x(5−5y)

Mathematics

1 answer:

dusya [7]3 years ago

4 0

Answer:

$5(x-y)$

Step-by-step explanation:

The distributive property of multiplication over subtraction says

$a\cdot b-a\cdot c=a\cdot (b-c)$

Rewrite given expression $5x-5y$ as follows:

$5\cdot x-5\cdot y$

Now, you can see that number 5 has the role of $a$ and you can rewrite this expression as

$5\cdot (x-y)$

which is equivalent to

$5(x-y)$

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

3 years ago

You buy 22 T-shirts in a sale. You pay the full price of $12$12 for the first T-shirt, and you get the second T-shirt for half t

Mice21 [21]

3/4 I do believe
...................

6 0

3 years ago

The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds

eduard

We have that

p(t)=-3t^2+18t-4

using a graphing tool, we can see the maximum of the graph
(see the attached figure)

A) In what year of operation does Mr. Cash’s business show maximum profit?

Mr. Cash’s business show maximum profit at year 3 (maximum in the parabole)

B) What is the maximum profit?

23 (hundred of thousand of dollars) = 2.300.000 dollars

c) What time will it be two late?

(This is the time when the graph crosses zero and the profits turn into losses )

5.77 years, or an estimate of about 69 months.

4 0

3 years ago

Why is 1/2 the same as 0.5

Basile [38]

Answer:

it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.

Step-by-step explanation:

5 0

2 years ago

Giving brainliest to best answer

Sergio [31]

Answer:

One unit to the right.

Step-by-step explanation:

I entered both equations into desmos and rootx - 1 is one unit to the right.

Desmos is a great tool for graphing

6 0

3 years ago