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2 years ago

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Mathematics

1 answer:

KIM [24]2 years ago

4 0

you are looking for a unit rate (for 1 quart of red, how much white is used).

notice all red amounts are less than white, so b and c make no sense.

I look at the 4:20 and think, half of the paint would be 2:10, half of that is 1:5

(you could also start with 4:20 and divide each by 4 to get this answer)

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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

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

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Select Is a Function or Is not a Function to correctly classify each relation

Gemiola [76]

Answer:

yes

Step-by-step explanation:

x input repeats - 3

x input doesn't repeat

x input repeats -4

x input doesn't repeat

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3 years ago

The length of a rectangular field is 4 meters less than 5 times the breadth of the hall. What is the length, if the breadth is b

vlabodo [156]

IF BREADTH=b meters
THEN LENGTH=4 meter less than 3 times than the breadth of the hall.
LENGTH=3b-4 meters
the length of the rectangular hall is=3b-4 meters

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2 years ago

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Tpy6a [65]

Answer:

Step-by-step explanation: 40 newtons to the right

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Triss [41]

Answer:

0.75 or 75 cents!

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