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Alex
3 years ago
5

Find the equation of the line that passes through (5, 12) and has a slope of -6

Mathematics
1 answer:
Tasya [4]3 years ago
5 0
Y - 12 = -6 (x - 5)
y = -6x + 42
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How to substitute 3x+3y=-3 and y=5x-1?
schepotkina [342]
Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.

To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
 0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
7 0
3 years ago
X+2<br> X-2<br> 2x+y<br> x + 1<br> what’s the answer
icang [17]

Answer:

( 3x - 2, 2x ± yx ) ± 1

Step-by-step explanation:

5 0
2 years ago
You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company
tankabanditka [31]

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

<h3>What is Straight Commission?</h3>

Straight Commission: Straight commission can also be referred to as commission-only because it is the only pay an employee receives. There is no base salary or hourly wage included in this pay structure. All compensation is based on an agreed-upon percentage of sales.

Get the complete straight commission offer as the first step.

The straight total commission can be expressed as follows:

A=R x T

A = straight total commission

R=commission rate

T=total sales

In our example,

A=0.06t=0.06 t is replaced by

R=6%=6/100=0.06

T=t in equation 1.

in the 2nd step, the second offer's total value

The total sum of the second offer can be expressed as follows:

A=F+(RT)

A=the amount of income the second company offers

F=weekly fixed wage

R = commission percentage

T = total sales

F in our instance equals $240 weekly.

in the 3rd step

R=4%=4/100=0.04

T=t is replacing A=240+(0.04t)=0.04 t+240 is in equation 2

now equate equations 1 and 2

0.06 t=0.04 t+240

(0.06 t-0.04 t)=240

0.02 t=240

t=240/0.02=12,000

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

To learn more about Straight commission visit:

brainly.com/question/8535450

#SPJ4

6 0
1 year ago
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is
WARRIOR [948]

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

4 0
1 year ago
Convert 18 inches to feet using the table.
mr Goodwill [35]

Answer:

18inches = 1.5 ft.

14inches= 1.16667 ft.

Step-by-step explanation:

1inch = 0.0833 ft.

3 0
2 years ago
Read 2 more answers
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