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Brrunno [24]
3 years ago
14

A line passes through the (1, -6) and has a slope of 5. write an equation for this line

Mathematics
1 answer:
o-na [289]3 years ago
4 0
The point-slope form of the equation for a line with slope m through point (h, k) is ...
  y = m(x -h) +k

Your line's equation can be written as
  y = 5(x -1) -6

This can be simplified to slope-intercept form
  y = 5x -11
or standard form
  5x -y = 11

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You have $90,000 for investment. You will invest S dollars in stocks and B dollars in bonds. You expect a 10% return on stocks a
SIZIF [17.4K]

The dollar amount for the return on stocks is $3375 and the dollar amount for the return on bonds is $1125.

Two equations can be derived from the question:

s + b = $90,000 equation 1

0.1s + 0.02b = $4500 equation two

$4500 = 0.05  x $90,000

The above equation is a simultaneous equation and it would be solved using the elimination method.

The following steps would be take to determine the value of b

Multiply equation 1 by 0.1

0.1s + 0.1b = 9000 equation 3

Subtract equation 2 from 3

0.08b = $4500

b = $56,250

The following step would be taken to determine the value of s

Substitute for b in equation 1

s + $56,250 = $90,000

$90,000 - $56,250 = s

s = $33,750

Dollar amount for the return on stocks = $33,750 x 0.1 = $3375

Dollar amount for the return on bonds = $56,250 x 0,02 = $1125

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

7 0
3 years ago
You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money
amm1812

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

5 0
3 years ago
Find an equivalent expression -2(6d-1) + 2(d-4)
11Alexandr11 [23.1K]

Answer:

3 . - 10d - 6

Step-by-step explanation:

-2(6d-1) + 2(d-4)

= - 12d + 2 + 2d - 8

= - 10d - 6

Hope it will help :)❤

7 0
3 years ago
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Margarita [4]

If you would like to simplify Q + S - T, you can do this using the following steps:<span>

Q = 7m + 3n, 
R = 11 - 2m, 
S = n + 5,
T = -m - 3n + 8

</span>Q + S - T = 7m + 3n + n + 5 - (-m - 3n + 8) = 7m + 3n + n + 5 + m + 3n - 8 = 8m + 7n - 3

The correct result would be <span>8m + 7n - 3.</span>

5 0
3 years ago
E
IgorLugansk [536]

Answer:

10.35 miles in 1 hout

Step-by-step explanation:

I'm Sorry if this wrong.

5 0
3 years ago
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