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3 years ago

6

The figure below is a scale drawing of a garden. If the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual g

arden?

2 answers:

Orlov [11]3 years ago

7 0

Answer:

2.25

Step-by-step explanation:

Marat540 [252]3 years ago

6 0

Answer:

The answer is 2.25

Step-by-step explanation:

Steps:

1. 1/2 inch + 1 3/4 inch = 2.25 inch

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Alika [10]

a. f(x) is the image of the parent function after stretched vertically by

factor 3, then translated 2 units right and 6 units up

b. g(x) is the image of the parent function after stretched vertically by

factor 2, followed by reflection across the x-axis, then translated

1 unit left and 3 units up

c. n(x) is the image of the parent function after reflection across the

x-axis, then translated 7 units right and 2 units down

Step-by-step explanation:

Let us revise some transformation of the function f(x)

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
A vertical stretching is the stretching of the graph away from the x-axis, If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by m.
A vertical compression is the squeezing of the graph toward the x-axis, if 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically compressed by multiplying each of its y-coordinates by m.
If m should be negative, the vertical stretch or compress is followed by a reflection across the x-axis.

The parent quadratic function is q(x) = x²

a.

∵ q(x) = x²

∵ f(x) = 3(x - 2)² + 6

∴ m = 3 , h = 2 , k = 6

∵ m > 1

∴ q(x) is stretched vertically by scale factor 3

∵ h = 2

∴ q(x) is translated 2 units to the right

∵ k = 6

∴ q(x) is translated 6 units up

f(x) is the image of the parent function after stretched vertically by

factor 3, then translated 2 units right and 6 units up

b.

∵ q(x) = x²

∵ g(x) = -2(x + 1)² + 3

∴ m = -2 , h = -1 , k = 3

∵ m is negative

∵ ImI > 1

∴ q(x) is stretched vertically by factor 2 and followed by reflection

across the x-axis

∵ h = -1

∴ q(x) is translated 1 units to the left

∵ k = 3

∴ q(x) is translated 3 units up

g(x) is the image of the parent function after stretched vertically by

factor 2, followed by reflection across the x-axis, then translated

1 unit left and 3 units up

c.

∵ q(x) = x²

∵ n(x) = -(x - 7)² - 2

∴ m = -1 , h = 7 , k = -2

∵ m = -1

∴ q(x) is reflected across the x-axis

∵ h = 7

∴ q(x) is translated 7 units to the right

∵ k = -2

∴ q(x) is translated 2 units down

n(x) is the image of the parent function after reflection across the

x-axis, then translated 7 units right and 2 units down

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

5 0

3 years ago

to make fruit punch ,you need 3 cups of grape juice for every 5 cups of apple juice. if you have 15 more cups of apple juice ,ho

zepelin [54]

You'd get a total 24 cups, 3/5=9/15. 9+15=24

6 0

3 years ago

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag

Serjik [45]

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

$6x+2=5$

$6x=5-2$

$6x=3$

Divide both sides by 6.

$x=\dfrac{3}{6}$

$x=0.5$

Therefore, the weight of each bag of dried beans is 0.5 pounds.

5 0

3 years ago

Which letters from the table represent like terms? A and B B and C A and D B and D.

xenn [34]

The letters can be added together if they have similar variables.

B and C are like terms. Option B shows the like terms of letters.

<h3>What is a binomial?</h3><h3></h3>

A mathematical expression consisting of two terms connected by a plus sign or minus sign is called the binomial expression.

The attachment shows the table of letters and variables.

To multiply binomials, a form of the distributive property is used.

The table has been complete with the final values of letters which are given below.

$A= (-2x) \times 4x$

$A = -8x^2$

$B = 3 \times 4x$

$B = 12 x$

$C = (-2x)\times 1$

$C = -2x$

$D = 3\times 1$

$D = 3$

From the final values of letters, B and C are the only like terms, they can be added together since they have similar variables.

Hence we can conclude that B and C are like terms. Option B shows the like terms of letters.

To know more about the binomials, follow the link given below.

brainly.com/question/3560614.

6 0

2 years ago

On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, an

AfilCa [17]

Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:

p = 12/15 = 0.8 = 80%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

2 years ago