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cricket20 [7]
2 years ago
5

What is the solution to the system of equations? (7, 4) (7, startfraction 13 over 3 endfraction) (8, startfraction 14 over 3 end

fraction) (9, 7)
Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0

The points are (7, 13/3).

Lets simplify the equation,

The equation of first line: y = 1/3 x + 2

the equation of second line: y= 4/3x - 5

Solve the system of equations by elimination,

Multiply equation A by -4 both sides

-4y = -4(1/3x +2)

-4y = -4/3x-8

After eliminating the equation we get,

y = 13/3

So now have to find x

13/3 = 1/3x + 2

Lets multiply above by 3
x = 13-6

x = 7.

Hence the points are (7, 13/3)

Learn more about Quadratic Equation on:

brainly.com/question/1214333

#SPJ4

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What is the simple interest paid to the nearest cent for each principal, interest rate, and time? $300, 6 1/2 %, 1 year *
Burka [1]

Answer:

The correct answer is: Option 1: $19.50

Step-by-step explanation:

Simple interest is given by the formula:

I = Prt

Here

P is the principal amount

r is the interest rate

and t is the time in years

Given

P = 300

r = 6 1/2 = 6.5%

t = 1

Putting the values in the formula, we get

I = 300 * 0.065*1\\I = 19.5

The simple interest paid to the nearest cent is 19.50 dollars.

Hence,

The correct answer is: Option 1: $19.50

7 0
3 years ago
B(7, 2) and C(-1,-9) are the endpoints of a line segment. What is the midpoint M of that line
Oksana_A [137]

Answer:

(3,-3.5)

Step-by-step explanation:

Mid-point formula : \frac{ x_{1} +x_{2}} {2}, \frac{y_{1}+y_{2}  }{2} \\\\x=\frac{7+(-1)}{2}         ,     y=  \frac{2+(-9)}{2} \\x= \frac{6}{2}              ,     y=  \frac{-7}{2} \\x=3                             ,    y= -3.5

Midpoint M of the line segment is (3,-3.5)

4 0
4 years ago
4x - 3 = 5 X=? can anyone tell me please
vekshin1

Answer:

x = 2

Step-by-step explanation:

4x - 3 = 5

4x = 8

x = 8/4

x = 2

------------

4 (2) - 3 = 5

8 - 3 = 5

5 = 5

answer: x = 2

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3 years ago
Please help me answer this! Thank you! No links!
eimsori [14]

Answer:

139

Step-by-step explanation:

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