Step-by-step explanation:
the change rate between the data points gives us the print rate.
so,
(f(x2) - f(x1)) / (x2 - x1)
starting with x1 = 10 and x2 = 15 we see
(133 - 98) / (15 - 10) = 35/5 = 7
that means he is printing 7 pages per minute.
we see that we have the same difference (35 prints) for every following 5-minute interval.
so, that is the confirmed print rate.
and yes, the amount is increasing, of course.
after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.
so, he started with 98-70 = 28 flyers before actually printing new ones.
Answer:
x = -2
y = 1
Step-by-step explanation:
x−2y=6
<em>Multiply both sides by 2</em>
x-4y=12
<em>Subtract x from both sides</em>
-4y=12-x
2x−4y=10
<em>Subtract 2x from both sides</em>
-4y=10-2x
Put the 2 equations together:
12-x=10-2x
<em>Add x to both sides</em>
12=10-x
<em>Subtract 10 from both sides</em>
2= -x
<em>Multiply both sides by -1</em>
x= -2
x−2y=6
<em>Multiply both sides by 2</em>
2x-2y=12
<em>Add 2y to both sides</em>
2x=12+2y
2x−4y=10
<em>Add 4y to both sides</em>
2x=10+4y
x−2y=6
<em>Multiply both sides by 2</em>
2x-2y=12
<em>Add 2y to both sides</em>
2x=12+2y
2x−4y=10
<em>Add 4y to both sides</em>
2x=10+4y
Put the 2 equations together:
12+2y=10+4y
<em>Subtract 10 from both sides</em>
2+2y=4y
<em>Subtract 2y from both sides</em>
2=2y
y=1
Answer:
d
Step-by-step explanation:
Factoring using difference of squares
a² - b² = (a - b)(a + b)
a
x² - 1
= x² - 1²
= (x - 1)(x + 1)
b
x² - y²
= (x - y)(x + y)
c
x² - 4
= x² - 2²
= (x - 2)(x + 2)
d
4 - 16y ← 16y is not a perfect square and so cannot be factored
If it was 4 - 16y² then it could be factored using difference of squares
