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pav-90 [236]
3 years ago
8

Solve for q(x) and r(x). (4x^3-3x^2+5x-7)/(x-2) = q(x)+ r(x)/(x-2)

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0
By synthetic division,

q(x) = 4x^2 +5x +15

r(x) = 23

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Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Put your answer in fully simplifi
nika2105 [10]

2x-15y = 117 is the simplified form of the equation.

Equation : In a mathematical sentence, if two expressions are present in left and right side of an equal sign, then the mathematical sentence is called an equation.

If, a, b, c be integers and x is x-intercept & y is y-intercept, then ax+by=c is called equation of line.

Given that, the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7).

Now, (-9,-9) & (6, -7) have a line through them with slope = (-9+7)/(-9-6) = 2/15

Therefore, (y+7) = 2/15×(x-6)

⇒ y+7 = 2x/15 - 4/5

⇒ y = 2x/15 - 4/5 - 7

⇒ y = 2x/15 -39/5

This is the equation in slope intercept form.

Multiplying the equation with 15, we get,

⇒ 15y = 2x-117

⇒ 2x-15y = 117 , which is the simplified form of the equation.

Learn more about equation of line here :

brainly.com/question/12626026

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7 0
1 year ago
The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?
Delicious77 [7]

Add the time to the start time:

8:30

1 hour: 9:30 am

2 hours: 10:30am

3 hours: 11:30am

4 hours: 12:30pm

5 hours: 1:30pm

Then 45 minutes makes the time 2:15pm

Answer: 2:15 pm

3 0
3 years ago
A discount voucher offering 15% off is used to pay a bill. After using the voucher, the bill is reduced to £36.72.
Elena-2011 [213]

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve  for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

3 0
3 years ago
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Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?<br><br> I NEED HELP!!
Arturiano [62]

Answer:

15

Step-by-step explanation:

4 0
2 years ago
URGENT NEED IMMEDIATE SUPPORT WILLING TO GIVE BRAINLY
frozen [14]

4 hours for 18

7 hours for 25.50

Difference in hours: 7-4 = 3

Difference in cost: 25.50 - 18 = 7.50

7.50 / 3 = 2.50

A. They charge 2.50 per hour.

B. 2.50 x 4 = 10

18 - 10 = 8

The flat fee is 8 dollars

C. 8 + (2 x 2.50) = 13 dollars

8 0
2 years ago
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