Can I get some help in algebra 1

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

You didn’t write the question and thanks for the point

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Use the grouping method to factor 4x3 + 20x3 - 3x - 15

ivann1987 [24]

12+20•3-3x-15

multiply the numbers : 20•3 = 60

12+60-3x-15

group like terms

-3x+12+60-15

add and subtract the numbers : 12+60-15=57

final answer = -3x+57

3 0

4 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Omar is painting a 24-square-foot wall.

weqwewe [10]

96 squares

(wall area)/(square area) = (24 ft²)/(1/4 ft²) = 24×4 = 96 . . . . squares

8 0

3 years ago

Read 2 more answers

Circle o has a circumference of approximately 44in what is the approximate length of the diameter d

Gre4nikov [31]

the answer should be 14.01.

divide by 2, divide by 3.14, multiply 7.0... by 2 and round to the nearest hundreth.