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Sergeeva-Olga [200]
3 years ago
11

Find the values of x and y that satisfy both the equations 12x + 3y = 15 and 2x – 3y = 13.​

Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

X=1 and Y=1 in the first question

Step-by-step explanation:

simply 12X means 12*x, so x=1 and 12*1+3*1=15 question 1

and question 2

2X means 2*X x=8 so 2*8=16 so 16-3 because Y=1 and

16-3=13

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If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this da
Keith_Richards [23]

Given:

The data point is (3,10.5).

The prediction equation is y=-6.1x+12.5.

To find:

The value of the residual for this data point.

Step-by-step explanation:

The data point is (3,10.5). So, the actual value is 10.5 at x=3.

Prediction equation is

y=-6.1x+12.5

Putting x=3, we get

y=-6.1(3)+12.5

y=-18.3+12.5

y=-5.8

The formula for residual is:

Residual = Actual value - Expected value

Residual=10.5-(-5.8)

Residual=10.5+5.8

Residual=16.3

Therefore, the residual for the given data point is 16.3.

6 0
3 years ago
Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of
Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

h+10\%\text{ of }h=165

h+(\frac{10}{100}*h)=165

h+0.10*h=165

1.10*h=165

Let us divide both sides of our equation by 1.10.

\frac{1.10*h}{1.10}=\frac{165}{1.10}

h=150

Therefore, Cody was 150 cm tall on the first day of school last year.

5 0
4 years ago
Identify the vertex point of the parabola.<br> A) (1,-2)<br> B) (5,3)<br> C) (0,4)<br> D) (3,0)
Helga [31]

Answer:

D

Step-by-step explanation: The vertex is where the curve of the parabola occurs. Pay attention to where the curve of the parabola exists, and write down its coordinates. Over here, the curve is on 3 of the x-axis, and the y-value is 0 because the curve is literally on the x-axis. Any point that is on the x-axis will have no y-value. Hence our answer is (3,0).

5 0
3 years ago
Graph the system of equations on your graph paper to answer the question.
Semenov [28]

Answer:

(-1,4) This is the solution for the given system

Step-by-step explanation:

The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)

The other graph is attached as well

The solution for this system is the interception between the graph

6 0
3 years ago
Write the number in two other forms<br><br> 100, 203
oksano4ka [1.4K]
100 203 in expanded form is one hundred thousand two hundred three.read more<span> <span><span />100 203 in expanded form is one hundred thousand two hundred three.100 203 in expanded form is one hundred thousand two hundred three. </span><span> Minor edit? Save Cancel </span></span><span>
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7 0
3 years ago
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