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Vsevolod [243]
3 years ago
10

Consider the function below. Find f(5)

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

f(x)=-2x+7

f(5)=-2×5+7

=-10+7

=-3

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
-BARSIC- [3]
Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
8 0
3 years ago
Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become.  If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:


A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)


So, the graph of the dilated triangle is shown in the Figure below

8 0
2 years ago
Read 2 more answers
A particular computer takes 11 minutes to download a 33​-minute TV show. How long will it take the computer to download a 2.5​-h
zhenek [66]

First off.. we need to get the units the same.  All in hours,

or all in minutes.  36 minutes = 36/60 hours = 3/5 hours = 0.6 hours.

12 minutes = 12/60 hours = 1/5 hours = 0.2 hours

Set up a proportion:

0.2 is to 0.6 as x is to 22.5

x/22.5 = 0.2/0.6

x = 0.2(22.5)/0.6

x = 7.5 hours


thanx

heyaaaaa

8 0
3 years ago
Three vertices of a rectangle are (–2, 1), (–2, –3), and (4, –3)
Tpy6a [65]
The answer is C
it's easier if you graph it
we know that the x of the unknown vertice is 4, because this is a rectangle and that vertices has to be on the same x line as the point below.
y of the unknown vertice has to be 1 because the vertice to the left needs to be on the same y line as the unknown vertice

6 0
2 years ago
Mark the sum as either positive or negative
tester [92]

Answer:

1: Positive

2: Negative

3: Negative

4: Negative

Step-by-step explanation:

Positive plus Negative equals negative.

Positive plus positive or negative plus negative equals positive.

Hope this helps.

6 0
2 years ago
Read 2 more answers
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