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dybincka [34]
1 year ago
11

Evaluate the function found in the previous step at X =-3

Mathematics
1 answer:
babunello [35]1 year ago
7 0
x-5y=-4x-2y

In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.

-3-5y=-4(-3)-2y

<em>Multiply -4 and -3 in the function above.</em>

-3-5y=12-2y

<em>Add 3 on both sides of the equation.</em>

-3-5y+3=12-2y+3-5y=15-2y

<em>Add 2y on both sides of the equation.</em>

-5y+2y=15-2y+2y-3y=15

<em>Divide both sides of the equation by -3.</em>

\frac{-3y}{-3}=\frac{15}{-3}y=-5

Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.

Answer:

f(-3) = -5

<em />

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11.1.30<br> How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Ann [662]

The total number of 3 digit even numbers is 450

Step-by-step explanation:

Step 1 :

We need to determine the  number of 3 digit numbers which is even and the leftmost digit is not zero .

The  3 digits with left most digit not equal to zero starts from 100 and goes up to 998

If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.

Step 2:

The last number l  in this series is 998 .

So we have

a = 100

l = 998

d = 2

The nth term in the arithmetic progression is given by a + (n-1) d

so substituting the above values we get

100 + (n-1) 2 = 998

2n = 900  => n = 450

Step 3 :

Answer :

The total number of 3 digit even numbers is 450

4 0
3 years ago
Christine made $60 for 5 hours of work.
Mrac [35]

Answer: 13 hours

Step-by-step explanation: I divided 60 by 5 to figure out how much she makes a hour and got 12 dollars an hour then I divided 156 by 12  and got the number of hours she worked which was 13

6 0
3 years ago
Find the area of the figure. (Sides meet at right angles.)
s344n2d4d5 [400]

Answer:

<h2>44 ft²</h2><h2 />

Step-by-step explanation:

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A2 = 8 x 3 = 24

total = 20 + 24

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Pani-rosa [81]

Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √[1 - (-1)]² + [3 - (-1)]

= √(2)² + (4)²

= √(4) + (16)

= √20

= 2√5

5 0
3 years ago
True or false X times X times X times X times X equals 5X
nevsk [136]

Answer:

false

Step-by-step explanation:

X times X times X times X times X equals X^5 not 5X

4 0
3 years ago
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