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Crank
3 years ago
8

How many solutions does the system have? 3x + y = 8 2x + 2y = 8

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

There is one solution

Step-by-step explanation:

I did the Khan Academy lesson and I got it correct.

Volgvan3 years ago
5 0

Answer:

One solution. Set of values (2,2)

Step-by-step explanation:

3x+y=8 0r y=8-3x

2x+2y=8

substitute value of y (8-3x) in first equation into y of 2nd equation

2x+2(8-3x)=8

2x+16-6x=8

-4x=-8

x=2

solve for y.

2x+2y=8

2(2)+2y=8

4+2y=8

2y=4

y=2

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Step-by-step explanation:

8 0
3 years ago
SOMEONE HELP PLEASE! A lot of points!
Alik [6]

Answer:

First, you have to form simultaneous equation for both of their ages in yerms of a and b :

b = 4a - 12 -------- ( 1 )

a + b = 28 -------- ( 2 )

Next, you will have to solve it by substituting ( 1 ) into ( 2 ) :

a + (4a - 12) = 28

5a - 12 = 28

5a = 28 + 12

5a = 40

a = 8

Then, substitute a = 8 into ( 1 ) :

b = 4(8) - 12

b = 32 - 12

b = 20

4 0
3 years ago
Given the graph of a scatterplot and a trend line, explain how you would find the equation of the trend line.
SpyIntel [72]

To find the equation of a trend line, It is important to find the X axis and Y axis, Once x axis and y axis  is found if there is an association between x axis and y axis, We use linear equation to produce the trend line. Linear regression or algorithm called as OLS (Ordinary least square). Y= mx +c

y = dependent variable, x = independent variable , constant = c , m  = y2-y1/x2-x1.

Step-by-step explanation:

  • Scatter plot is to find association of two different variable.
  • Trend line is the equation between xaxis and y axis.
  • Prediction is best way to form equation.
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5 0
3 years ago
Read 2 more answers
The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length i
gizmo_the_mogwai [7]

The simplified area function in terms of y for a rectangle is f(y)=2 y^{2}+4 y

<u>Solution:</u>

Given that length of each side of a square = y

Need to determine area of rectangle whose length is twice the length of the square and width is 2 units longer that the side length of square

Length of rectangle = twice of side length of square = 2 \times y = 2y

Width of rectangle = 2 + side length of square = 2 + y = y + 2

\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle.}

On substituting length and width in formula for area, we get

\text { Area of rectangle }=2 y \times (y+2)=2 y^{2}+4 y

Hence function f(y)=2 y^{2}+4 y is represents area of required rectangle.

3 0
3 years ago
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ELEN [110]
375/5= 75

Answer= 75 mph
4 0
3 years ago
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