MATHEMATICS HIGH SCHOOL

What is the difference between domain and range?

Answers

Answer 1
Answer:

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

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Prove that 1+cosA/sinA + sinA/1+cosA=2cosecA
16x ^ 2 - 8xy + y ^ 2​

Find the LCM of 8 and 16.

Answers

16 is the answer of LCM of 8 and 16
8l 8, 16
  --------
2l 1, 2
  --------
  l 1, 1
  --------

LCM = 8*2 = 16

So, the LCM for 8 and 16 is 16.

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
     x = -(11) ± √((11)² - 4(-4)(2))
                         2(-4)
     x = -11 ± √(121 + 32)
                     -8
     x = -11 ± √(153)
                  -8
     x = -11 ± 3√(17)
                 -8
     x = -11 ± 3(4.1)  
                -8
     x = -11 ± 12.3
                -8
     x = -11 + 12.3    or    x = -11 - 12.3
                -8                             -8
     x = 1.3         or          x = -23.3
           -8                                -8
     x = -0.1625       or      x = 2.9125
     x ≈ -0.2         or          x ≈ 2.9

The answer is B.

2.          4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
                         2(4)
    x = 11 ± √(121 + 48)
                      8
    x = 11 ± √(169)
                 8
    x = 11 ± 13
               8
    x = 11 + 13    or    x = 11 - 13
              8                           8
    x = 24         or       x = -2
           8                           8
   x = 3         or          x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

Equations with the variable on both sides . solve 2+ 6x = 1-x

Answers

so 2+6x=1-x
we can do anything as long as we do it to both sides
2+6x=1-x
try to get the unknown (x) on one side by itself
add x to both sides to get rid of the x on the right
2+x+6x=1+x-x
2+7x=1
subtract 2 from both sdies
7x=-1
divide by 7
x=-1/7
2 + 6x = 1 - x
+ 6x + x = 1 - 2
7x = - 1
x = - 1
        7

Solution: -1/7 

Solve the equation for y=5x-6 and solve for x

Answers

y=5x-6 can be rewritten as
y+6=5x
(y+6)/5=x

x=(y+6)/5

You scored 18 out of the 60 points scored by your team. what percent of your team's points did you score?70%30%

Answers

10% of 60 = 6
6 x 3 = 18
You scored 30% of your team's points.

Hope This Helps You!
Good Luck Studying :)
10% of 60=6 6x3=18 you scored 30% hopes this helped

What is one third plus four fifths

Answers

1/3=5/15 and 4/5=12/15 so 12+5=17 so it is 17/15, seventeen fifteenths
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