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Radda [10]
3 years ago
13

If the equation y = 3x + 2 is changed to y = -3x + 2, how will the graph of the line change?

Mathematics
2 answers:
Orlov [11]3 years ago
8 0

The 3  changes to -3 so the slope  will change to the opposite direction

C

Ierofanga [76]3 years ago
3 0
A) it will shift down 3 unit s
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In which form is the following function written?<br><br> y+20=8(x+7)^2
Wewaii [24]

Answer:

  (a variation of) vertex form

Step-by-step explanation:

For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...

  y = a(x -h)^2 +k

If k is subtracted from this equation, an alternate form is ...

  y -k = a(x -h)^2

This latter version of vertex form is the form your equation has, where ...

  • a = 8
  • (h, k) = (-7, -20)

7 0
3 years ago
In a bag of skittles, there are 124 pieces. 25% are red. How many skittles are NOT red? Put the numeric answer only.
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Answer:

496

Step-by-step explanation:

5 0
3 years ago
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In our solar system 6 of the 8 planets have moons what is the percentage of the planet have moons
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8 0
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A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
Thus, the population will be 138 million in 2014

8 0
3 years ago
Allie is going to ship some gifts to family members, and she is considering two
Nostrana [21]

Answer:

a)10$

Step-by-step explanation:

8 0
3 years ago
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