3 years ago

Which values of x and y satisfy 2x − y = 7 and 3x − 2y = 5 simultaneously?

1 answer:

8 0

To solve problems like this you can either graph or solve mathematically. To do the ladder we need to solve for one variable at a time. So lets cancel one variable out.
Multiply equation 1 by 2
This will give 4x-2y=14
Now we can get rid of y by subtracting 2 from 1
This will give x=9
Plug back in to either equation, i will use equation 2
3(9)-2y=5 simplify
-2y=-22 solve
Y=11

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Solve the inequality. <br> 2x-5<9 <br> The solution is:

natali 33 [55]

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

8 0

3 years ago

What are the coordinates of the point on the directed line segment from (- 10, - 10) to (6, - 2) that partitions the segment int

Nina [5.8K]

Answer:

Denote:

A(-10, -10)

B(6, -2)

vector AB(6 - -10, -2 - -10) = (16, 8)

(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)

=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:

M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)

Hope this helps!

6 0

3 years ago

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the graph of f(x) = 2x 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. what is the value o

vekshin1

F(x) = 2x + 4

f(x-5) shifts (fx) five units to the right, then

f(x-5) = 2(x-5) + 4 = 2x - k

2x - 10 + 4 = 2x - k

k = 6

3 0

3 years ago

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Any suggestions or answers

Kaylis [27]

The correct answer is (20,-50)

7 0

4 years ago

Leon measured the distance each of his four toy cars rolled across the floor. Which car measurement that has a 4 in the thousand

Kobotan [32]

0.714 and so does 0.224 has 4 in the thousandths place, but in shortest distance I believe it is 0.714

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3 years ago