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3 years ago

Let f(x)=3x and g(x)=3x−3+2 .

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

Horizontal Translation of 3 units to the right

Vertical Translation of 2 units up

butalik [34]3 years ago

3 0

Answer:

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

Step-by-step explanation:

Let the parent function be f(x) = 3x

Now shift the parent graph down by 3 units

Rule : f(x)→f(x)-b

The graph f(x) shifted down by b units

So, According to rule f(x)→f(x)-3

So, new function becomes: f'(x)=3x-3

Now we are supposed to shift the graph 2 units up

Rule : f(x)→f(x)+b

The graph f(x) shifted up by b units

So, According to rule f'(x)→f'(x)+2

So, the new function is g(x) = 3x-3+2

Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

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Solve for x, show work please! 20 points!

GuDViN [60]

<h2>Option A </h2>

Step-by-step explanation:

Here,

70° = 12x - 2 [Since Vertically Opposite Angles]

=> 12x - 2 = 70

=> 12x = 72

$= > x = \frac{72}{12}$

=> x = 6 (Ans) (Option A)

8 0

3 years ago

Can I get the steps of solving the fractions ?

Paul [167]

Step-by-step explanation:

In adding fractions, first you have to make the denominators the same. To do this, you need to find the GCF (greatest common factor).

3/4 + 4/8

The GCF on this would be 8, since both 4 and 8 can go into it. Next, you need to change both the denominators to the GCF, but you have to make sure the fractions are still equal to the original one. To do this, you have to multiply the numerator by the amount the original denominator is multiplied to get to the GCF.

4(2) = 8

3(2) = 6

So now you have 6/8 + 4/8. Next, you just add up the numbers normally, leaving the denominators the same.

6/8 + 4/8 = 10/8

If necessary, you simplify the fraction. To do this, you need to find the smallest number that goes into both of them, besides one. In this case, it would be 2. Then, you divide both the numerator and denominator by that number.

10/2 = 5

8/2 = 4

Then, to find the most simplified version, you need to divide the numorator by the denominator.

5/4 = 1 with a remainder of 1.

You put your answer as the whole number, and your remainder as the numorator. Leave the denominator the same.

1 $\frac{1}{4}$

Hope this helped with adding fractions!

3 0

3 years ago

Explain how you can write an equation for a line with slope 1/2 that crosses the y-axis at the point (0,-1).

andre [41]

Answer:

y= 1/2x-1

Step-by-step explanation:

The equation of a line is y= mx+c

m represents the slope of the line

c represents the y-intercept

So we plug in our information into the equation.

The slope is 1/2 so y= 1/2x + c

The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.

Therefore, y= 1/2x-1

8 0

4 years ago

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl

Ugo [173]

Answer:

c. 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following sample space

That is, the possible outcomes.

I am going to call boys b and girls g

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

Total outcomes:

8 outcomes

What is the probability that they will have at least one boy and at least one girl?

Desired outcomes:

At least one boy and at least one girl

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

Six desired outcomes.

Probability

$P = \frac{6}{8} = 0.75$

The correct answer is:

c. 0.75

6 0

3 years ago

Please solve this and give answer

Nikolay [14]

Answer:

Step-by-step explanation:

4 0

3 years ago