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Neporo4naja [7]
1 year ago
7

Write a function g whose graph is a horizontal shrink by a factor of 1/3

Mathematics
1 answer:
mote1985 [20]1 year ago
7 0

Answer:

  • g(x) = 6|x + 1| - 2

-----------------------------------------

Given:

  • Function f(x) = 2|x + 3| - 2

Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).

Horizontal shrink by a factor of k is:

  • g(x) = f(x/k)

Apply this to the given function:

  • g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2

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The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What
Wewaii [24]

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

8 0
3 years ago
If the simple interest on ​$3,000 for 8 years is ​$1,680​, then what is the interest​ rate?
madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
8 0
3 years ago
Brandon left at 2:10 p.m. to walk to the park. It took him 7 minutes to walk there.
pantera1 [17]

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

7 0
3 years ago
Read 2 more answers
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
3 years ago
2 people working at the same rate will take 6 hours to paint a room.
zavuch27 [327]

Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

7 0
3 years ago
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