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3 years ago

List all the factors of 48 and all of the factors of 64 on the t-chart provided

1 answer:

3 0

48's factors are: 1,2,3,4,6,8,12,16,24,48
64's factors are: 1,2, 4, 8, 16, 32,64
Hope this helps!

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

vesna_86 [32]

Answer:

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = 3x ^ 2 -4x -6$

Take common factor 3.

$f(x) = 3(x ^ 2 -\frac{4}{3}x - 2)$

The values of the coefficients for the function within the parenthesis are the following: $a = 1$ , $b = -\frac{4}{3}$ , $c = -2$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= -\frac{2}{3}$

$(\frac{b}{2})^2=\frac{4}{9}$

Add and subtract $\frac{4}{9}$

$f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})$

Write the expression of the form

$f(x) = (x-\frac{b}{2})^2 +k$

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

3 0

3 years ago

Ibrahim has some building blocks that are all cubes of the same size. He uses three of the blocks to make a pile with a height o

MArishka [77]

Answer:

72.5

Step-by-step explanation:

one block = 43.5 / 3 = 14.5

five blocks = 5 * 14.5 = 72.5 (ans)

4 0

3 years ago

What is the difference between 120 yards and 110 meters in feet

natita [175]

The answer is 27.2. (meter is bigger)
1 yard = 91.44 centimeters, and 1 meter= 100 centimeters

91.44 * 120 = 10972.8

100*110 = 11000

3 0

3 years ago

Read 2 more answers

Harley is on a trip with her dad. Her dad tells her that they've traveled 182.6 miles and they are 83% of the way to their desti

Natali5045456 [20]

0.83x=182.6

x=182.6/0.83

x=220 miles total trip length.

8 0

3 years ago

Solve system by elimination -5x-10y=-20 10x+10y=0

bekas [8.4K]

Answer:

(-4,4)

Step-by-step explanation:

-5x-10y=-20

10x+10y=0

divide both sides by 2

-5x-10y=-20

5x+5y=0

that makes

-5y=-20

divide both sides by -5

y=4

now substitute 4 for y

10x+10 x 4=0

multiply

10x+40=0

subtract

10x=-40

divide

x=-4

7 0

3 years ago

Read 2 more answers