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3 years ago

What transformations to the linear parent function, f(x) = x, give the function

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

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23. The letters of the alphabet are written on

Alla [95]

Answer:

21/676

Step-by-step explanation:

The total number of letters of the alphabet will be the total outcome which is 26 alphabets.

If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets

Total consonants in the alphabet is 21.

Probability of drawing consonants = 21/26.

Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.

Probability of drawing a letter Z will be 1/26.

Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;

21/26×1/26

= 21/676

5 0

3 years ago

Which of the following is a solution of x2 + 2x + 4?

RideAnS [48]

Answer:

option-D

Step-by-step explanation:

we are given

$x^2+2x+4$

Let's assume it is equal to 0

$x^2+2x+4=0$

We can use quadratic formula

Suppose, we are given quadratic equations as

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare and find a,b and c

a=1 , b=2 , c=4

now, we can plug values

and we get

$x=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}$

now, we can simplify it

and we get

$x=-1+\sqrt{3}i,\:x=-1-\sqrt{3}i$

6 0

3 years ago

Read 2 more answers

The students in Steven's class got to choose between pizza and burgers for the

Rainbow [258]

Answer:
95% picked pizza
Step-by-step explanation:
We can get this answer by following a few different steps. Firstly, we need the total amount of students. We get this number by adding the amount of students who wanted pizza (19 students) and the amount of students who wanted burgers (1 student). When we add those we get the total number of students, which is 20. Now, we can set up a fraction to see what amount of students out of the total number of students wanted pizza.
This would be 19/20
Now, you plug this in your calculator and will get 0.95
To turn this, or any other decimal, into a percentage you multiply by 100%.
So, multiply 0.95 x 100% = 95%

Hope this helps :)

4 0

2 years ago

The population of a town is 58,000 and is growing by 23% per year. If the trend continues, what will the population be in 8 year

mina [271]

The population in 8 yrs would be 164,720

6 0

3 years ago

A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has an area of 50.2

lana [24]

Answer:

25.133

Step-by-step explanation:

area is pi*r^2. divide area by 3.14 and then sqrt to find radius. 6.28*radius= circumference, so 6.28*4=25.133

6 0

2 years ago

Read 2 more answers