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pychu [463]
3 years ago
6

PLEASE HELP!

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0
Given:
Consider the given function is

To find:
The vertex , axis of symmetry, and transformations of the parent function?
Solution:
We have,


...(i)
It is an absolute function.
The vertex form of an absolute function is
...(ii)
where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.
From (i) and (ii), we get

So,


Parent function of an absolute function is

Since, a=8 therefore, parent function vertically stretched by factor 8.
, so the function shifts unit right.
k=-3<0, so the function shifts 3 units down.
Therefore, the vertex is and Axis of symmetry is . The parent function Therefore, the vertex is and Axis of symmetry is . The parent function vertically stretched by factor 8, shifts unit right and 3 units down.
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Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada. A.
MaRussiya [10]

Answer:

A. Jada drank less water than Elena

B. Lin drank more water than Elena

Step-by-step explanation:

Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

A. Did Jada drink more or less water than Elena?

B. Did Lin drink more or less water than Elena?

Elena drank 3 liters of water

Jada drank 3/4 times as much water as Elena.

Lin drank twice as much water as Jada

Elena = 3 liters

Jada = 3/4 × Elena

=3/4 × 3

=9/4 liters

=2 1/4 liters

=2.25 liters

Lin=2×Jada

=2×9/4

=18/4

=4 2/4

=4.5 liters

Did Jada drink more or less water than Elena?

A. Jada drank less water than Elena

Because 2.25 liters is less than 3 liters

B. Lin drank more water than Elena

4.5 liters is greater than 3 liters

6 0
4 years ago
Whats the vertex of x^2-12x+23
abruzzese [7]

Answer:

y=(x-6)^2-13

Step-by-step explanation:

6 0
3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50\degree50°50,
Len [333]

Answer:

D(t)=50\cdot (0.8)^{t}

Step-by-step explanation:

The equation for exponential decay function is given as:

D(t)=a(1-r)^{t}

where:

D(t)= difference in temperature t=time

r=rate of change

a =initial value of the temperature

From the given problem:

Initial Temperature,a=50°C

Rate of Decay,r=\frac{1}{5}

Therefore the function for the difference in temperature is given as:

D(t)=50(1-\frac{1}{5})^{t}

D(t)=50\cdot (\frac{4}{5})^{t}

We can convert \frac{4}{5} to decimal and write the function as:

D(t)=50\cdot (0.8)^{t}

7 0
3 years ago
Read 2 more answers
What is 7mil times by 7 hundred mill
Marianna [84]

Answer:

i used a cauculator cuz im not good at math so...

Step-by-step explanation:

it is 4.9e+15

8 0
3 years ago
A rectangular sheet of metal has an area of 112 square inches. Its perimeter is 44 inches. What are the dimensions of the sheet?
sveticcg [70]
A) w * L = 112
B) 2w + 2L = 44
A) w = 112 / L then substituting this into B)
B) 2 * (112/L) + 2L = 44
B) 224 / L + 2L = 44
B) 224 + 2L^2 = 44L
B) 2L^2 -44L +224 = 0
L = 14
L = 8

Double Check
Width = 14  Length = 8
2*14= 28 2*8 = 16
28 + 16 = 44

14*8= 112
Correct!!!


4 0
3 years ago
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