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kolbaska11 [484]
2 years ago
12

Please help i have to finish 15 assignments today including a final exam and i dont know what im doing

Mathematics
1 answer:
Sergio039 [100]2 years ago
5 0

Answer:

(-1,6) ; (-2,11)

Step-by-step explanation:

y= x^2-2x +3

y= -5x + 1

the best way to proceed is substitute the value of y shows in the second equation in the first equation (general rule: substitute the value shows in the linear equation in the quadratic equation)

-5x + 1 = x^2-2x+3

x^2 +3x + 2 = 0

(x+2)(x+1) = 0

x = -2

x = -1

Solution 1

x = -1

y = 5 + 1 = 6

Solution 2

x = -2

y = 10 + 1 = 11

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PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
son4ous [18]

Answer:

5)

Line 1: y=-x+3

Line 2: y=3x-3

6)

Line 1: y=\frac{1}{2}x-2

Line 2: y=-\frac{5}{2}x+6

7)

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

5)

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

y=mx+b

where m is the slope and b is the y-intercept we found above.

Line 1: y=-x+3

Line 2: y=3x-3

In line 1, -1x can be simplified to just -x.

6)

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}

and line 2:

m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: y=\frac{1}{2}x-2

Line 2: y=-\frac{5}{2}x+6

7)

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

y=2x+1\\y=2x+2

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

y=2x+1\\y=2x+1

That's what they are, graph them however you like.

3 0
2 years ago
melabur RM3,000 dalam deposit tetap di sebuah bank pada kadar 8% faedah kompaun setiap tahun. Berapakah jumlah amaun yang akan d
sweet-ann [11.9K]

that's all.............

6 0
2 years ago
PLEASE HELP I HAVE 15 MINUTES LEFT HELP HELP PLEASE
melamori03 [73]

Answer:

I'm sorry for answering late I just saw this but

Step-by-step explanation:

1. is 34

2. is 12

3. I really dont understand that one

But try your best and multiply and division always come first before u add and subtract

3 0
2 years ago
Read 2 more answers
Calculate the heigh (x) of the tree
marta [7]

Answer:

<h2>87 feet</h2>

Solution,

tan \: theta =  \frac{opposite}{adjacent}

tan \: 60 =  \frac{h}{50}  \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet

hope this helps..

Good luck on your assignment..

8 0
2 years ago
Anthony went out to eat dinner, and the meal cost $50.00. If Anthony received a 15% discount, what was the total value of the di
jok3333 [9.3K]

Answer:

$7.5

Step-by-step explanation:

7 0
2 years ago
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