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3 years ago

If you vertically shift the linear parent function, f(x)=x up four units , what is the equation of the new function

2 answers:

OverLord2011 [107]3 years ago

8 0

Shifting in the y direction is as simple as adding the shift, ie.,

f(x) = x+4.

In the x direction it is trickier because then you have to replace x by (x-a) where a is the shift to the right... (but that wasn't asked here).

Inessa [10]3 years ago

8 0

Answer:

f(x) = x+4

Step-by-step explanation:

If you vertically shift the linear parent function, f(x)=x up four units

If we shift any linear function vertically then the graph will be shifted up or down

Given that f(x)= x up 4 units

When a graph is shifted up 'a' units then f(x) becomes f(x)+a

For shifting vertically up, we add the number at the end

f(x)=x up four units

So f(x) = x+4

The equation of new function is f(x) = x+4

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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe

Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= $\frac{2}{3}$ × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V = $\frac{2}{3}$ × π × (1)³

= $\frac{2}{3}$ × π cubic feets

The volume of each smaller hemisphere-shaped mold = $\frac{2}{3}$ × π × r³ cubic units

So, for 27 molds, the volume = 27 × $\frac{2}{3}$ × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

$\frac{2}{3}$ × π = 27 × $\frac{2}{3}$ × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

#SPJ4

6 0

2 years ago

Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and

Lemur [1.5K]

Average (mean) = (sum of all the data) / (# of data)

sum of all the data = (average)(# of data)

Thus for 100 students with an average of 93,
sum of all data = (93)(100) = 9300

and for 300 students with an average of 75,
sum of all data = (75)(300) = 22500

Therefore you would expect the overall average to be
(9300 + 22500) / (100 + 300) = 79.5 %

Now if there are x # of advanced students and y # of regular students, then

x + y = 90 (total # of students) and 93x + 75y = 87(x + y) (overall average)

The second equation can be simplified to x - 2y = 0

Subtracting the two equations yields

x = 60 and y = 90

Therefore you would need 60 advanced and 30 regular students.

7 0

3 years ago

Help me with this question please

irinina [24]

Answer:

i cant see it can you explain it

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Evaluate the expression: v ? w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2> . If the answ

Snezhnost [94]

Answer:

-13

Step-by-step explanation:

Given are two vectors v and w.

v=(6,7,-3) and

w=(-7,5,2)

We are to find the dot product of v.w

We have

Dot product is obtained by multiplying corresponding pairs and adding them

Here we have

v.w=6(-7)+7(5)-3(2)

=-13

7 0

3 years ago

Find the zeros or roots for the quadratic expression 2^2−8−10. Must show all work to receive credit

Sav [38]

Answer:

x = -1,5

Step-by-step explanation:

2x² - 8x - 10

2x² - 10x + 2x - 10

2x(x - 5) + 2(x - 5)

(x - 5)(2x + 2)

x = 5 x = -2/2

x = -1,5

5 0

3 years ago