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Fantom [35]
3 years ago
11

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

Mathematics
1 answer:
masha68 [24]3 years ago
4 0

Answer:

we have

(x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Let

u=(x+2)u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0

therefore

the answer is

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

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Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

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1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

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The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

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3 years ago
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3 years ago
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a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1
enyata [817]
Let's firstly convert the mixed fraction to "improper" and then proceed,

\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}

\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
19=40x\implies \cfrac{19}{40}=x
6 0
4 years ago
(x+5)(x-3)=y<br> How do I get y to equal 0
trasher [3.6K]

Answer:

x=-5 or x=3

Step-by-step explanation:

when multiplying anything by 0, the answer will be zero

In this case, one of the two factors has to be equal to 0

start by splitting into

(x+5) = 0

solve the equation

subtract 5 from both sides

x = -5

now, repeat for the other binomial

x-3 = 0

add 3 to both sides

x=3

7 0
3 years ago
Read 2 more answers
Find the solution set.<br> x^2 – 5x = 0
Tom [10]

Answer:

x=0  and x=5

Step-by-step explanation:

x^2 – 5x = 0

Factor out an x

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Using the zero product property

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