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loris [4]
3 years ago
6

Jessica plans to plant a garden 55 feet away from her house. On a map of her backyard, she drew the garden 22 inches away from t

he house. Complete the scale: 1 in. = ?.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

1 inch = 2.5 feet

Step-by-step explanation:

Jessica plans to plant a garden 55 feet away from her house.

On a map of her backyard, she drew the garden 22 inches away from the house.

From the above question, we know that:

22 inches = 55 feet

1 inch = x

Cross Multiply

22 inches × x = 1 inches × 55 feet

x = 1 inches × 55 feet/22 inches

x = 2.5feet.

Therefore, the scale is given as: 1 inch = 2.5 feet

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First, we’re going to use this formula:

2nd number - 1st number
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1st number


If we plug in the numbers to this equation:

23-20
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In this case, the percent of increase is 15%.
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3 years ago
If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

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3 years ago
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the
deff fn [24]

Answer:

0.125 liters per day

Step-by-step explanation:

0.5/4=.125

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Your answer would be B.)
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