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sergey [27]
3 years ago
10

the graph of f(x)=|x| is shown below. If you vertically shift this function down 11 units, what is the equation of the new funct

ion

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

The correct answer is B) f(x)=|x|  - 11

Step-by-step explanation:

All vertical shifts in absolute value equations can be added on to the end outside of the parenthesis. Since this is a downward shift, we make it negative.

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Use right triangle tools to find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degr
timama [110]

Step-by-step explanation:

OP=11.2

m<Q= 42⁰

m<R=48⁰

The tools used are....

I have used the property of Pythagoras Theorm to get the length of side QP, I have also used the property of inverse function of sin to get the measure of angle Q and the property of sum of angles of triangle to get measure of angle of R

5 0
2 years ago
Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t
AfilCa [17]

Answer:

<em> Linear model </em>

The function f(x) which represents the total amount in the savings account in x months is given by:           f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be  linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

3 0
3 years ago
The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?
lbvjy [14]
If the ratio is 5-7... this means there are more consonants
3 0
3 years ago
What is the square root of 504 simplified ?
Reil [10]

Answer:

6\sqrt{14}

Step-by-step Explanation:

     To simplify \sqrt{504}, we will look for numbers that 504 can be divided by until there are no perfect square roots under the radical.

[] To do this, we can think of perfect square roots such as 4, 9, 16, etc

We can divide 504 by 36 for an answer of 14, so \sqrt{504} can be written as \sqrt{36*14} which can be written as 6\sqrt{14} because the square root of 36 is 6.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
2 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
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