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2 years ago

Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.

1 answer:

4 0

In ax+by=c form
slope=-a/b

y intercept is when x=0

sloope of 2x-5y=12 is -2/-5=2/5

y intercept of 4y+24=5x
4y+24=5(0)
4y+24=0
4y=-24
y=-6
y int=-6

y=mx+b
m=slope
b=y intercept
y=2/5x-6

answer is 2nd optoin

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

$g(y) = \frac{y-5}{y^2-3y+15}$

According to the quotient rule:

$d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}$

Applying the quotient rule:

$g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}$

The values for which g'(y) are zero are the critical points:

$g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10$

The critical values are y = 0 and y = 10.

5 0

3 years ago

HELP ASAP PLEASEEE What is the equation of the line in the form y=mx+b

lilavasa [31]

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

3 0

2 years ago

Simplify 8(3+5) Help me please

amid [387]

Answer:

Step-by-step explanation:

pemdas says parenthesis first

3+5=8

8(8)

8 times 8 equals 64

3 0

3 years ago

Read 2 more answers

Solve the system of inequalities: 6y≥42 4y+12≤0

Hatshy [7]

Answer:

no solution

Step-by-step explanation:

6y≥42

Divide each side by 6

6y/6≥42/6

y≥7

Then solve the second one

4y+12≤0

Subtract 12 from each side

4y+12-12≤0-12

4y ≤-12

Divide each side by 4

4y/4 ≤-12/4

y ≤-3

There is no solution since there is no overlap

8 0

2 years ago

Immediately after filling my gas tank, I drove 237.1 miles to my favorite campground. I filled my tank again at the campground,

Kazeer [188]

Answer:

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346.5/17.5 = 19.8 miles per gallon.

Hope this helps :-)

Step-by-step explanation:

3 0

3 years ago