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Grace [21]
3 years ago
13

Solve the following system of equations graphically on the set of axes below.

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

You need to plot each line and see where they intersect.

Line 1: y = x+2

Plot the y-intercept (0,2) because of the +2 in the equation.

From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.

From that new point, repeat the "up 1, right 1" to plot a third point.

Connect the dots to make your line.

Line 2: y = -1/3 x - 2

Repeat the same process, using the the y-intercept and slope for this line.

Then identify where they intersect.

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What kind of solution is 2(7x-5)=14x- 10?
Alona [7]

~ Simplifying

-2(7x + -5) = -14x + 10

~ Reorder the terms:

-2(-5 + 7x) = -14x + 10

(-5 * -2 + 7x * -2) = -14x + 10

(10 + -14x) = -14x + 10

~ Reorder the terms:

10 + -14x = 10 + -14x

~ Add '-10' to each side of the equation.

10 + -10 + -14x = 10 + -10 + -14x

~ Combine like terms: 10 + -10 = 0

0 + -14x = 10 + -10 + -14x

-14x = 10 + -10 + -14x

~ Combine like terms: 10 + -10 = 0

-14x = 0 + -14x

-14x = -14x

~ Add '14x' to each side of the equation.

-14x + 14x = -14x + 14x

~ Combine like terms: -14x + 14x = 0

0 = -14x + 14x

~ Combine like terms: -14x + 14x = 0

0 = 0

~ Solving

0 = 0

~ This equation is an identity, all real numbers are solutions.

3 0
3 years ago
I need help with this
olga55 [171]
3:5 -> 6:10, 9:15, 12:20
8:10-> 4:5,16:20, 24:30
6:8 -> 3:4, 12:16, 30:40
6:18 -> 3:9, 12:36, 30:90
4:8 -> 1:2, 8:16, 12:24
3 0
2 years ago
A car moved at a speed of 90km/hr for 3 minutes.What distance did it cover?​
aniked [119]

Answer:

270kilometers

Step-by-step explanation:

To find the distance, all you have to do is the speed · time

In these types of distance time and word problems, you multiply the other factors, 90 and 3, The time(T) · The speed(S)

So. 90(S) · 3(T) = 270(D)

5 0
3 years ago
Help please. (12 points)
Sphinxa [80]
 because the symbol is a less than sign < the blue area needs to be below the red line and does not include the solution to Y ( if it included Y it would be a ≤ symbol.
 When the solution isn't included, it is a dashed line.
 so the answer would be D



6 0
3 years ago
Candy Crunchers wants to see if their new candy is enjoyed more by high school or middle school students. They decide to visit o
umka21 [38]
The sample % of these two populations would be 100/size (of student body at each school) x 100 so this would compare the two student bodies preferences for the particular type of candy bar. However, the actual % of the whole student body at each school would be a factor also. If the high school only had 200 students then this would be 50% representative but if the middle school had say 500 students this would only be 20% representative so this would have to be taken into account too. It might be more representative to have the same % of the student bodies respectively for the sample. 
4 0
3 years ago
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