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3 years ago

Describe the relationship between base 4 and exponent 3

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

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At what steps in the process could a bill die?

WITCHER [35]

Answer:

The bill returns to the house of origin.

If the bill advances with amendments, it returns to the house of origin. The house of origin may fail to take action, and the bill “dies.” The legislative body may vote to approve the changes made by the second chamber.

Step-by-step explanation:

5 0

3 years ago

Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

3 0

4 years ago

What is the slope of f(x)=x^2+3 when x=-1 ?

irinina [24]

F(x)=(-1)^2+3
f(x)=1+3
f(x)=4

The slope is 0 because 4 is a constant.

8 0

4 years ago

Please help me out with this!!!!!!!!!!!!

vesna_86 [32]

Answer:

y = - $\frac{3}{4}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2points on the line

m = $\frac{0-3}{4-0}$ = - $\frac{3}{4}$

Note the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - $\frac{3}{4}$ x + 3 ← equation of line

6 0

3 years ago

Zoey made 6 3/4 cups of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much of the fruit salad di

Aleks04 [339]

Answer:

9/4 cups

Step-by-step explanation:

6 3/4 = 27/4

27/4 * 1/3 = 27/12

27/12 = 9/4

4 0

3 years ago