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makvit [3.9K]
3 years ago
5

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:  y=12

Step-by-step explanation:

the y-intercept of the graph when : x=0

f(0) =4(0)+12 = 12

rusak2 [61]3 years ago
4 0
The y intercept is 12
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A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack
adelina 88 [10]

OPTIONS:

A. The interquartile range of the trail mix data is greater than the range of the cracker data.

B. The value 70 is an outlier in the trail mix data.

C. The upper quartile of the trail mix data is equal to the maximum value of the cracker data.

D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

D.

Step-by-step explanation:

With the given information about how the box plot looks like, let's examine each option to see if they are true or not.

<u><em>Option A: "The interquartile range of the trail mix data is greater than the range of the cracker data."</em></u>

The interquartile range of trail mix data = 105 - 90 = 15

Range of cracker data = 100 - 70 = 30

Option A is NOT TRUE.

<u><em>Option B: "The value 70 is an outlier in the trail mix data.</em></u>"

This is NOT TRUE. There are not outliers as 70 is the minimum value if the ranges of the data set for the trail mix.

<em><u>Option C: "The upper quartile of the trail mix data is equal to the maximum value of the cracker data."</u></em>

Upper quartile of the trail mix data = 105

Max value of cracker data = 100

This statement is NOT TRUE.

<em><u>Option D: "The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers."</u></em>

The greater the range value, the greater the variation. Thus,

Range value of the trail mix data = 115 - 70 = 45

Range value of the cracker data = 100 - 70 = 30

This is statement is correct because trail mix data have a greater range value, hence, it has a greater variation in the number of calories.

6 0
3 years ago
Read 2 more answers
A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix?
shutvik [7]

ANSWER

Focus:

(- \frac{1}{4} ,0)

Directrix:

x=\frac{1}{4}

EXPLANATION

The given parabola has equation:

{y}^{2}  =  - x

We compare this to the general equation,

{y}^{2}  =  - 4px

Comparing the coefficient of x, we have:

-4p=-1

p =  \frac{1}{4}

The focus is (-p,0)

(- \frac{1}{4} ,0)

The equation of the directrix is

x=p

x =  \frac{1}{4}

5 0
3 years ago
Read 2 more answers
Plz answer correctly<br> and thank you
exis [7]

Answer:

For the left 100%, For the right 52% and for both 76%

Step-by-step explanation:

Im sorry for putting all of those answers, I really didnt understand if you wanted the shaded area of just one of them.

(っ◔◡◔)っ ♥ Hope It Helps ♥

6 0
3 years ago
Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps
tigry1 [53]

Answer:

the sales tax percent is therefore: 7.75%

Step-by-step explanation:

The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.

Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:

69.75 = x * 899.99

solving for x we get:

x = 69.75 / 899.99

x = 0.0775

this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:

the sales tax percent is therefore: 7.75%

6 0
3 years ago
Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.
tensa zangetsu [6.8K]

Answer:

Both gyms charge the same monthly rate and the same membership fee.

Step-by-step explanation:

7 0
3 years ago
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