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3 years ago

What is the following equation formed when completing the square on Y^2-12y=-27

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

7 0

Answer:y^1=3 ,y^2=9 if im wrong sorry im wrong but hope you get an a

dolphi86 [110]3 years ago

4 0

Answer:

$(y -6)^{2} = 9$

Step-by-step explanation:

Given the function:

$y^{2} -12y = -27$

To find the completing the square of the above function, we use the following formula:

$a^2-2ab+b^2=(a-b)^2.$ So we have:

$y^{2} -12y = -27$

$y^2-2\times x\times 6+6^2=-27+6^2\\(y-6)^2=-27+36\\ (y-6)^2=9.$

Hope it can find you well.

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27. The attendance at a party consisted of 35 men, a number of women and some children. The number of women was one and a half t

cluponka [151]

Answer:

<u>There are 35 Men, 12 Children, and 18 Women</u>

Step-by-step explanation:

Men(M), Women(W) and Children(C)

We learn that:

M = 35

W = 1.5C , and

M+W+C = 65

----

M+W+C = 65

M+1.5C+C = 65

35+1.5C+C = 65

2.5C = 30

C = 12

If C=12 and W=1.5C, then W=18

----

<u>There are 35 Men, 12 Children, and 18 Women</u>

(35+12+18) = 65 participants

7 0

2 years ago

Solve the equation 8x-12=5+15

Anika [276]

8x-12 = 5+15
8x-12 = 20
8x = 32 +12
x = 4 ÷8

7 0

3 years ago

Read 2 more answers

There are 80 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the numb

Oxana [17]

Answer:

Grasses: 12

Weeds: 29

Trees: 39

Step-by-step explanation:

Let G, W and T represent number of grasses, weeds, and trees that are major pollen sources.

We have been given that there are 80 major sources of pollen in state A. We can represent this information in an equation as:

$G+W+T=80...(1)$

We are told that the number of weeds is 7 less than thrice the number of grasses. We can represent this information in an equation as:

$W=3G-7...(2)$

We are also told that the number of trees is 3 more than thrice the number of grasses. We can represent this information in an equation as:

$T=3G+3...(3)$

Upon substituting equation (2) and equation (3) in equation (1), we will get:

$G+3G-7+3G+3=80$

$7G-4=80$

$7G-4+4=80+4$

$7G=84$

$\frac{7G}{7}=\frac{84}{7}$

$G=12$

Therefore, there are 12 grasses that are major pollen sources.

Number of weeds that are major pollen sources:

$W=3G-7\Rightarrow 3(12)-7=36-7=29$

Therefore, there are 29 weeds that are major pollen sources.

Number of trees that are major pollen sources:

$T=3G+3\Rightarrow 3(12)+3=36+3=39$

Therefore, there are 39 trees that are major pollen sources.

6 0

3 years ago

solve for a dairy needs 275 gallons of milk containing 5% butterfat. how many gallons each of milk containing 7% butterfat and m

Kazeer [188]

X = gallons of the 7% butterfat milk

y = gallons of the 2% butterfat milk

now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.

so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.

likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.

we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.

we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus

$\bf \begin{array}{lccclll}
&\stackrel{gallons}{amount}&\stackrel{butterfat~\%}{quantity}&\stackrel{butterfat~gallons}{quantity}\\
&------&------&------\\
\textit{7\% butterfat milk}&x&0.07&0.07x\\
\textit{2\% butterfat milk}&y&0.02&0.02y\\
--------&------&------&------\\
mixture&275&0.05&13.75
\end{array}$

$\bf \begin{cases}
x+y=275\implies \boxed{y}=275-x\\
0.07x+0.02y=13.75\\
----------\\
0.07x+0.02\left( \boxed{275-x} \right)=13.75
\end{cases}
\\\\\\
0.07x-0.02x+5.50=13.75\implies 0.05x=8.25
\\\\\\
x=\cfrac{8.25}{0.05}\implies x=165$

how much will it be of the 2% milk? well, y = 275 - x.

7 0

3 years ago

Yasmine has a dinner party for her grandparents’ 50th anniversary. The total bill comes to $389.45. If she tips the waiter 18%,

Debora [2.8K]

Answer:

$459.551

Step-by-step explanation:

18% of 389.45 is 70.101 (the tip)

389.45+70.101=459.551 (the total)

4 0

3 years ago