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Murrr4er [49]
2 years ago
9

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0

Answer:

4 units to the left

Step-by-step explanation:

y = a (x - h)² + k

The h is a horizontal translation of <em>h</em> units.

For h > 0, move right

For h < 0, move left

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The retail price of a product is $77.30 per square metre. Trade price is retail less 12.5%. Calculate the trade price of 5.35m o
kipiarov [429]

Answer: $1935.56

Step-by-step explanation:

T.P=R.P-(12% of R.P)

R.P=$77.30 per 1m²

When m =5.35, m²=5.35²=28.6225

R.P= $(77.30×28.6225)

R.P=$2212.52

12.5% of R.P=0.125×$2212.52=$276.565

Therefore,

T.P = $2212.52-$276.565 = $1935.96

Note: T.P is Trade Price and R.P is Retail Price.

Hope this helps?

5 0
2 years ago
Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
2 years ago
Question 10 Multiple Choice Worth 1 points)
zheka24 [161]

Answer:

Linearly, because the table shows that the sunflowers increased by the same amount each month

Step-by-step explanation:

Given the table

\begin{array}{lcccc}\text{Month}&1&2&3&4\\ \\\text{Sunflowers}&15&17.2&19.4&21.6\end{array}

Note that months change one-by-one (21-1, 3-2=1, 4-3=1).

Also

17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]

This means the number of sunflowers increases linearly, because the table shows that the sunflowers increased by the same amount each month

3 0
2 years ago
Enter the values for the highlighted variables to<br> complete the steps to find the sum:
Rina8888 [55]

Answer:

a=-1

b=-9

c=9

d=3

e=3

f=2

g=1.5

Step-by-step explanation:

4 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
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