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2 years ago

How does the graph of f(x)=3|x+2|+4 relate to its parent function

2 answers:

5 0

If parent functin is f(x)=|x|
it is moved to the left 2 units
vertically streched by a factor of 3
and moved up by 4 units in that order

because
to move a function to left c units, add c to every x
to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function

so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units

fredd [130]2 years ago

4 0

Answer:

For APEX the answer is

-The parent function has been translated up.

-The parent function has been translated to the left.

-The parent function has been stretched.

Step-by-step explanation:

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At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this sit

Over [174]

28 trucks/7 hours=4 trucks/1 hour.
Therefore A.) and B.) are incorrect.
The wording of these last two answers confusesme but I believe the correct one is D.) because 1 hour (per-/) 4 trucks.

Hope this helps!

7 0

1 year ago

Read 2 more answers

the average number of spectators at a football competition for the first five days was 3144.the attendance on the sixth day was

Ksivusya [100]

Answer:

3285

Step-by-step explanation:

5x3144=15720

3990

15720+3990=19710

19710/6=3285

8 0

1 year ago

Maël mixes 15 milliliter (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts o

Yanka [14]

You have not provided the options, therefore, I cannot give you an exact answer.
However, I will try to help you with the concept.

First, we need to make all units the same in the problem. I will convert all units to ml.
We have:
amount of bleach = 15 ml
amount of water = 3.75 liters = 3.75 * 1000 = 3750 ml

Now, we will get the ratio between bleach and water:
$\frac{bleach}{water} = \frac{15}{3750} = \frac{1}{250}$

This ratio is fixed, therefore, to get the right choice:
1- make all units the same
2- for each option, divide the amount of bleach by the amount of water.
The correct choice would be the one giving you $\frac{1}{250}$

Hope this helps :)

5 0

2 years ago

Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

bezimeni [28]

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$

Therefore, Probability of atleast one of 12 student has food allergies

= $1-(\frac{93}{100})^{12}$

= $0.581403702521$

≈ 0.58 ( approx)

8 0

1 year ago

Read 2 more answers

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a

STatiana [176]

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2 = x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

6 0

1 year ago