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soldi70 [24.7K]
3 years ago
15

Which of these are the intercepts of y = 2x − 6?

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

B. (3, 0), (0, -6)

Step-by-step explanation:

Plug 0 in for each variable one at a time, and you will get both intercepts.

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Find the sum of the equation
stealth61 [152]

Answer:

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

Step-by-step explanation:

1)  Rewrite {y}^{2}-2y+1y  in the form{a}^{2}-2ab+{b}^{2}, where a = y and b = 1.

\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}

2)  Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.

\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}

3)  Factor {y}^{2}+6y-7.

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

(y-1)(y-7)

Outcome/Result: \frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}

4) Rewrite the expression with a common denominator.

\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}

5)  Expand.

\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}

6) Collect like terms.

\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}

7) Simplify  {y}^{2}+(7y+6y)-6y  to  {y}^{2}+13y-6y

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

5 0
2 years ago
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Please help ASAP! This is due by 2:15!! A store sold a case of candles for $17.85 that had been marked up by 110%. What was the
VMariaS [17]

Answer:

the original price would be <u>16.605.</u>

Step-by-step explanation:

4 0
3 years ago
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x
alisha [4.7K]

Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.

Option c. The line will shift vertically down by 4 tons.


Solution:

Total weight of a coal car: f(x)=x+30

How will the graph of this function change if the coal car weight is changed to 26 tons?

The total weight of the coal car would be: g(x)=x+26

f(x)=x+30

30=26+4

f(x)=x+26+4

g(x)=x+26

f(x)=g(x)+4

Subtracting 4 both sides of the equation:

f(x)-4=g(x)+4-4

f(x)-4=g(x)

g(x)=f(x)-4

Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.

6 0
3 years ago
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Spencer can do a piece of work in 20 days and Toby in 25 days. They began to work together.
zlopas [31]

Answer: spencer left after 14 days

Step-by-step explanation:

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How many rotations does each wheel make while Shawn is coasting down the ramp?
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I think it’s 16 rotations
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