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siniylev [52]
2 years ago
15

Reflection across the y-axis

Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Step-by-step explanation:

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Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the dif
rodikova [14]

Answer:

60men 40 women.... but I ain't sure

4 0
3 years ago
The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Triss [41]

Answer:

T4 = -2°F

Step-by-step explanation:

Given the following data;

Current temperature = 10°F

Constant, K = 3°F

Time, t = 4 hours

In four (4) hours, we have;

T = kt

Substituting into the equation, we have;

T = 3 * 4

T = 12°F

T4 = current temp - new temp

T4 = 10°F - 12°F

T4 = -2°F

Therefore, the temperature it will be in 4 hours is - 2°F.

6 0
2 years ago
A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white
il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

4C+10P\le 360

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

20C+30P\le 1200

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

C\ge 0

P\ge 0

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

P=\frac{360}{10}

P=36

(0,36)

Third point:

20C+30(0)=1200

C=\frac{1200}{20}

C=60

(60,0)

Fourth point:

4C+10P = 360

20C+30P = 1200

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

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

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

8 0
3 years ago
Solve the system of linear equations<br> x+y=4<br> -3x-y+-8
liubo4ka [24]

Answer:

y=3x+8

Step-by-step explanation:

Formula is L(x)=f(a)+f(a)(x-a)

This is for linearization

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2 years ago
Two angles form a linear pair. The measure of one angle is 16∘ greater than the measure of the other angle. Find the measure of
Agata [3.3K]

A) Angle 1 + Angle 2 = 180

B) Angle 1 - Angle 2 = 16

Adding both equations:

2 * Angle 1 = 196

Angle 1 = 98

Angle 2 = 82


4 0
3 years ago
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