Find the fraction equivalent to 8/16 using division. a) 2/4 b) 4/8 c) 1/2 d) 3/6

Answers


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Let f(x) = -2x^2 and g(x) = 2x - 4. On the set of axes, draw the graphs of y = f(x) andy = g(x).
Using this graph, determine and state all values of x for which f(x) = g(x).

Answers

f(x) = -2x²
g(x) = 2x - 4

                              f(x) = g(x)
                             -2x² = 2x - 4
                       -2x² - 2x = 2x - 2x - 4
                 -2x² - 2x + 4 = -4 + 4
                 -2x² - 2x + 4 = 0
       -2(x²) - 2(x) - 2(-2) = 0
                 -2(x² - x - 2) = 0
                          -2         -2
                      x² - x - 2 = 0
              x² + 2x - x - 2 = 0
x(x) + x(2) - 1(x) - 1(2) = 0
        x(x + 2) - 1(x + 2) = 0
                (x - 1)(x + 2) = 0
   x - 1 = 0    or    x + 2 = 0
     + 1 + 1              -  2 -  2
         x = 1      or       x = -2          
                             f(x) = g(x)
                            -2x² = 2x - 4
                        -2(-2)² = 2(-2) - 4
                           -2(4) = -4 - 4
                                -8 = -8
                                   or
                              f(x) = g(x)
                             -2x² = 2x - 4
                          -2(1)² = 2(1) - 4 
                                -2 = 2 - 4
                                -2 = -2

Solution Sets: {(-2, -8), (1, -2)}

The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?

Answers

Answer:

1,280

The dimensions are 5 by 4

Step-by-step explanation:

You multiply 20 and 16 then, divide 0.25 then you get 1,280

Answer:1,280

Step-by-step explanation:

Usan enlarged a rectangle with a height of 4 cm and length of 11 cm on her computer. the length of the new rectangle is 16.5 cm. find the height of the new rectangle.

Answers

You need only set up a proportion.

11 cm/16.5 cm = 4 cm / x    Cross multiply

11x = 16.5 * 4

11x = 66         ' Divide by 11

x = 66/11

x = 6

The expanded height is 6 cm Answer

Tom bought 2 1/16 pounds of peanuts and 2.45 pounds of cashews. Which did he buy more of?Explain.

Answers

2.45 pounds is more because that equals to a little over .40% more than 1/16 as a fraction which would be more over to the right making it a smaller digit

Algebra 1b radical expressions & data analysis1. Simplify 2/√5

A. 2/√5
B. √10
C. √10/5
D. 2√10/5 *** My answer

2. Simplify -11√112

A. -44√7
B. -176 √7
C. -27 √7
D. 4√7 *** My answer

3. Simplify 17√17 -9 √17

A. 8 *** My answer
B. 8√17
C. 26√17
D. 8√0

4. Simplify 6/ √3 + 2

A. 4/ √3
B. 12 - 6 √3 *** my answer
C. √3 - 2
D. 3

5. What is the domain of the function y = 3√6x + 42 ?

A. X≥0
B. X ≤7 *** my answer
C. X ≥ -6
D. X ≥ -7

6. What are the domain and range of the function y = 2 √3x + 4 - 5 ?

A. X ≥ -4/3 ; y ≥ -5 *** my answer
B. X ≥ 4/3 ; y ≥ -5
C. X ≤ -4/3 ; y ≤ -5
D. X ≥ -4/3 ; y ≥5

7. When will the dependent variable in the equation y = √x+4 - 3 equal or exceed 4 ?

A. X ≥ -0.17
B. X ≥ 45
C. X ≥ 48 *** my answer
D. X ≥ 53

8. Simplify the radical expression. Show all of the steps.

√363 - 3√27

Answers

1 none
2 a
3 b
4 none
5 d
6 a
7 b
√(363) - 3 √(27) = √(3 * 11 * 11) - 3 √(3*3*3) = 11√(3) - 9 √(3) = 2√(3)

12y = 4x + 8
A=
B=
C=
Can someone please help!!

Answers

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1