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valentinak56 [21]
3 years ago
9

Determine the intercepts of the line. y + 5 = 2(x + 1) y-intercept: x-intercept:

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

y

+

5

=

2

(

x

+

1

)

 

Find the x-intercepts.

x-intercept(s):  

(

3

2

,

0

)

Find the y-intercepts.

y-intercept(s):  

(

0

,

−

3

)

List the intersections.

x-intercept(s):  

(

3

2

,

0

)

y-intercept(s):  

(

0

,

−

3

)

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Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

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2 & 3/5 = (10 + 3)/5

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---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

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Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

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Step-by-step explanation:

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