Need math help please any math wiz thanks!?

Question

If possible could u teach me step by step if not ok.

1. Solve for x: 2/5(10x – 3) + 3/5 = 1

2. You have a total of $6000 invested in two accounts. One account pays 5% per year; the other pays 4% per year. If you earn a total of $250 this year, how much as invested in each account?

3. Solve: |5x – 2 | - 3 = 1

4. If a line has an x-intercept of -2 and y-intercept of 3, what is its slope?


5.Write in slope intercept form: 3x – 7y = 7

6. Let f(x) = 4x – 1 and g(x) = 1 – 2x2. Find (f/g)(2).

7. Solve by addition:
3x + 2y = 6
x + 2y = 4

8. Solve the system:
x + y + z = 5
x - y + z = -2
2x + y - z = 4

9. Solve for x:
| x 2 |
| 6 2x| = 10x

10. Use Cramer’s rule to solve:
-5x + y = 6
3x – 2y = 3

Answer 1

1.
2/5(10x – 3) + 3/5 = 1
(4x - 6/5) + 3/5 = 1
4x - 3/5 = 1
4x = 3/5 + 1
x = 8/5 : 4
x = 8/5 * 1/4
x = 2/5
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2. $3,500 and $2,500
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3. |5x – 2 | - 3 =
5x - 2 -3 =
5x = 5
x = 1
or
|5x – 2 | + 3 =
5x - 2 = -3
5x = -3 + 2
x = -1/5
Solution is S = {1; -1/5}
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7. by addition:
(3x + 2y = 6
(-x - 2y = -4 (-)

3x - x + 2y - 2y = 6 -4
2x = 2
x = 1

(x + 2y = 4
(1 + 2y = 4
2y = 4 -1
y = 3/2 = 1,5
Solution: (1; 1,5)

8. Solve the system:
(x + y + z = 5
(x - y + z = -2
(2x + y - z = 4

|1 1 1|
|1 -1 1|
|2 1 -1|
D = -1
x = 40
y = 20
z = -20
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9. Solve for x:
| x 2 |
| 6 2x| = 10x
D = (2x*x) - (2*6) -10x = 2x² - 10x + 12 => x² - 5x + 6 = 0
(x - 3)(x - 2)
-5² - 4.1.6
25 - 24 = 1
x' = (5 +/-1) :2 =
x' = (5 + 1) : 2 = 3
x" = (5 - 1) : 2 = 2
Solution: {x E R | X = 3, or x = 2}.
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10. Cramer’s rule:
(-5x + y = 6
(3x – 2y = 3
|-5 1|
|3 -2|
D = 10 - 3 = 7

|6 1|
|3 -2|
Dx = -12 -3 = -15
Dx/D =
x = -15/7

|-5 6|
|3 3|
Dy = -15 -18 = -23
Dy/D
y = -23/7
S = [(-15/7; -23/7)]
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Please check it. Smack!

Answer 2

You have a total of $6000 invested in two accounts. One account pays 5% per year; the other pays 4% per year. If you earn a total of $250 this year, how much as invested in each account?

let account 1 has $A, account 2 has $B.
so, A + B = 6000. and B = 6000-A

5% . A + 4% . B = 250
5% A + 4% (6000-A)=250
5% A + 240 - 4% A = 250
1% A = 10
A = 10 / 1%
A = 10 x 100 / 1
A = 1000

B = 6000-A
B = 6000 - 1000
B = 5000

5.Write in slope intercept form: 3x – 7y = 7
3x – 7y = 7
-7 y = -3x + 7
y = -3x/(-7) + 7/(-7)
y= (-3/7) x - 1

slope = (-3/7)
put equation in y=mx+n , and the slope is m.

Answer 3

It looks like you want someone to do your homework for you. Sorry!

Answer 4

My friend, I think this is your homework, so try to solve it!!!