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klio [65]
2 years ago
11

Look at the image below

Mathematics
1 answer:
Blizzard [7]2 years ago
5 0

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.<u>1</u>2       $19.<u>9</u>3

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

30*0.13=3.9           20*0.13=2.6

Now we can find the final price for each number by adding the tax to the rounded price.

30+3.9=33.9          20+2.6=22.6

Hence, (A) 33.9, (B) 22.6

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Solve the following system using the elimination method.<br> 3x+2y=1<br> 2x-y=10
Nataliya [291]

Answer:

Step 1 : Multiple both sides by 2

3x + 2y = 1

4x - 2y = 20

Step 2 : Eliminate 1 variable by adding the equations

7x = 21

Step 3 : Divide both sides by 7 to solve for x

x = 3

Step 4: Substitute the value of x into 3x + 2y = 1

3(3) + 2y = 1

Step 5: Solve for y

2y = 1 - 9

2y = -8

*divide by 2

y = - 4

Solution:

(x,y) = (3, -4)

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3 years ago
Given the graph y = f(x), explain and contrast the effect of the constant c on the graphs y = f(cx) and y = cf(x).
Igoryamba
Given the graph y = f(x)

The graph y = f(cx), where c is a constant is refered to as horizontal stretch/compression

A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression is the squeezing of the graph towards the y-axis.  A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is stretched horizontally by a factor of c units.
If | c | > 1, then the graph is compressed horizontally by a factor of c units.

For values of c that are negative, then the horizontal compression or horizontal stretching of the graph is followed by a reflection across the y-axis.


The graph y = cf(x), where c is a constant is referred to as a vertical stretching/compression.

A vertical streching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis. A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of c units.
If | c | > 1, then the graph is stretched vertically by a factor of c units.

For values of c that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
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Rate/ speed = distance / time;
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