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Serggg [28]
3 years ago
9

Graph the function defined by f(x) = (x+21)

Mathematics
1 answer:
Inga [223]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Consider the parent function y=|x|. The graph of this function is represented as red graph in attached diagram.

Now consider the function y=|x+2|.

Remind main translations of the graph of the function y=f(x):

  • y=f(x-a) - translation a units to the right;
  • y=f(x+a) - translation a units to the left;
  • y=f(x)+a - translation a units up;
  • y=f(x)-a - translation a units down.

In your case, the graph of the function y=|x+2| is translated graph of the function y=|x| 2 units to the left (blue graph). So, correct answer is option A.

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A painter uses 2.75 gallons of paint per hour. How many gallons of paint will the painter use in 3.5 hours?
anygoal [31]

Answer:

9.625 gallons will be used by the painters in 3.5 hours

Step-by-step explanation:

2.75 gallons = 1 hr

X gallons = 3.5 hrs

X = (3.5 × 2.75)/1

X = 9.625 gallons

9.625 gallons will be used by the painters in 3.5 hours

8 0
3 years ago
Read 2 more answers
A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by e
borishaifa [10]

Answer: 31 nickels and 29 dimes

<u>Step-by-step explanation:</u>

Nickels (.05): x

Dimes (.10): y


 Value:     .05x + .10y = 4.45 →  -20(.05x + .10y = 4.45)   →   -x - 2y = -89

Quantity:        x  +    y  = 60   →       1(x  +    y  = 60)           →   <u> x  + y </u> = <u> 60 </u>

                                                                                                       -y  = -29

                                                                                                        y  =  29

Next, substitute "29" for "y" into either equation and solve for "x":

x +  y  = 60

x + 29 = 60

x          = 31


5 0
3 years ago
2 2/5 x 5/7 in simplest form
Lena [83]

Answer:

1 5/7

Step-by-step explanation:

2 2/5 x 5/7

= 12/5 x 5/7

= 12/7

1 5/7

5 0
3 years ago
Find the value of x ?<br><br> A)67<br><br> B)113<br><br> C)77<br><br> D)57
lana [24]

Answer:

<h2>A) 67</h2>

Step-by-step explanation:

The sum of the angles measures at one side of the parallelogram is 180°.

Therefore we have the equation:

x + 113 = 180             <em>subtract 113 from both sides</em>

x + 113 - 113 = 180 - 113

x = 67

3 0
3 years ago
I need help fast it’s a timed test
AleksAgata [21]

Answer:

x=7

Step-by-step explanation:

Add 10 to both sides to isolate x.

4x=28

x=7

7 0
3 years ago
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