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3 years ago

(X-2)^2 if necessary combine like terms

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Answer:

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

Step-by-step explanation:

(x-2) × (x-2)

(x × x) + (x × -2) + (-2 × x) + (-2 × -2)

( $x^{2}$ ) + (-2x) + (-2x) + (4)

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

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

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In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.55

Temka [501]

The ratio being 0.55 means 55% of students voted for the person who ended up winning. If there were 40 people who voted, just find 55% of 40.
This is done by 0.55 • 40, which equals 22.
So 22 students voted for the person who ended up winning.

3 0

4 years ago

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find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor

Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: $y = -x^2+8x-12$

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

$y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0$

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

$x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0$

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0

3 years ago

Parker ate one-third the number of raisins Devan ate. Which variable expression represents the number of raisins Parker ate?

gladu [14]

B but i would also ask a parent or teacher for help

6 0

3 years ago

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T=4st/s-t what is the value of s when t = 5 and T = 40?

Tcecarenko [31]

Why does ever outcome equal 15 I suspect this is a trick question should you get a answer for this let me know btw that's awesome that no matter what it's always 15 even through infinity

3 0

4 years ago

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The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?

tino4ka555 [31]

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#: x

Second#: y

Constraints:

x + y = 50

1/4x + 2/3y = 25

Isolate variable y:

x + y = 50

-1/4 (x + y = 50 )

-1/4x - 1/4y = -12.5

Add equations the two equations to eliminate x:

-1/4x - 1/4y = -12.5

1/4x + 2/3y = 25

_________________

5/12y = 12.5

5y = 150

y = 30

Substitution to find x:

x + y = 50

x + 30 = 50

x = 20

6 0

3 years ago