MATHEMATICS HIGH SCHOOL

Which ordered pair is a solution to the system of equations? Use the graph.x+2y=4 (line a)
-3x+2y=-4 (line b)

A. (2,-1)
B. (-2,1)
C. (2,1)
D. (-2, -1)

Answers

Answer 1
Answer:  { x + 2y = 4    * ( 3 )
  -3 x + 2y = -4 

 3 x + 6 y = 12
-3 x + 2 y = -4
---------------------
          8 y = 8
      
             y = 8 / 8
           
             y = 1

For x :

x + 2 y = 4

x + 2*(1 ) = 4
 
x + 2 = 4

x = 4 - 2

x = 2

Answer C   ( 2 , 1 )

hope this helps!

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What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

9 On Cyber Monday, aTV is priced at
$350.00. How much will
the TV cost after a 6%
sales tax is applied?
tax:

Answers

Answer:

$371

Step-by-step explanation:

350 x 0.06 = 21

350 + 21 = 371

Hope this helped!

A is the point with coordinates (4,6)b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d

Answers

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

m = (y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = (21-6)/(d-4) = (15)/(d-4) = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Answers

First multiply 50 and .25 to find out how much extra he is saving, $12.5 Then add that to 50 to get $62.5. Divide $375 by $62.5 to get 6. It will take 6 months to save the money. Hope this helps!

The Computer Store has reduced the price of a computer by 15%.What is the original price of the computer if the sale price is $1275?

Answers

x-what\ is\ the\ original\ price\ of\ the\ computer\n \nx-15\% x=1275\ \ \ \Leftrightarrow\ \ \ 85\%x=1275\ \ \ \Leftrightarrow\ \ \ 0.85x=1275\ /:0.85\n \nx= (1275)/(0.85) \ \ \ \Rightarrow\ \ \ x=1500\n \nAns.\ The\ original\ price\ of\ the\ computer\ is\ \$1500.

There are 33 members of the Kennedy Middle School math club there are 7 more girls members than boy members how many boys and girls are members of the club

Answers

x + y = 33
x girls = y + 7

(y + 7) + y = 33
2y + 7 = 33
2y = 26
y = 13 guys
20 girls
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