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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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the number n is a 2-digit number. when n i divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. wh

larisa [96]

Think of numbers that when they are divided by 10, the remainder is 9.
So numbers like: 19, 29, 39, 49, 59, 69, 79, 89, and 99.

Now numbers that when they are divided by 9, the remainder is 8.
So numbers like: 17, 26, 35, 44, 53, 62, 71, 80, 89, and 98.

Now the number that is alike from the two sets of numbers is n.
n=89

Double check your work.
Divide 89 by 10. Remainder of 9
Divide 89 by 9. Remainder of 8.

Hope this helps :)

6 0

3 years ago

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?

max2010maxim [7]

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

8 0

2 years ago

What’s the answers for all of these

cupoosta [38]

1. angles 7 and 3, angles 2 and 6
2. angle 1
3. they’re alternate exterior angles
4. they’re consecutive interior angles
5. angle 2
6. angle 4

6 0

2 years ago

A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?

il63 [147K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as 450 visitors/5 hours = __visitors/1 hour.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or 90 visitors/1 hour.

So now we have 90 visitors/1 hour = __visitors/1 hour.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

5 0

3 years ago

Determine whether (3, 2) and (2, - 1) are solutions to the equation – 3x + y = - 7.

Leona [35]

Answer:

Step-by-step explanation:

plug in (3,2) to see if it's a solution:

A) does -3(3) + 2 equal -7? yes

B) since 'A' is a solution then 'B' cannot be the answer

C) since (3,2) is a solution then 'C' cannot be the answer

plug in (2,-1) to see if it's a solution:

-3(2) - (-1) equal -7? no, it equals -5

only (3,2) is a solution so the answer is D

8 0

2 years ago