2 years ago

Y=x^2+16x+71 in vertex form

Mathematics

1 answer:

marishachu [46]2 years ago

7 0

Answer:

y=(x+8)^2+7

Step-by-step explanation:

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What is the value of y in the solution to the system of equations?<br> *x+3y=1<br> 2x – 3y = -30

Delvig [45]

Answer:

$\large\boxed{y=\dfrac{32}{9}}$

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}x+3y=1\\2x-3y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad3x=-29\qquad\text{divide both sides by 3}\\.\qquad x=-\dfrac{29}{3}\\\\\text{put the value of x to the first equation}\\\\-\dfrac{29}{3}+3y=1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\left(-\dfrac{29}{3\!\!\!\!\diagup_1}\right)+(3)(3y)=(3)(1)\\\\-29+9y=3\qquad\text{add 29 to both sides}\\\\9y=32\qquad\text{divide both sides by 9}\\\\y=\dfrac{32}{9}$

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3 years ago

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Annette [7]

6x-2>4x-6
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2x>-4
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3 years ago

A migrating bird flies 312 miles in 13 hours. How many miles does it fly in 5 hours?

irinina [24]

The answer is 120 miles , because it is a proportion

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3 years ago

Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total

svlad2 [7]

Let Jack's current point is $p$

After winning 3 consecutive games, the bonus point is given by
$b(p)=p+10$

The score after 5% = 0.05 increase is
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$(s.b)(p)=1.05(p+10)=1.05p+10.5$

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4 years ago

Many credit card companies charge a compound interest rate of 1.8% per

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Answer:

550.0, 559.90, 569.98, 580.24, 590.68

Step-by-step explanation:

Just did it and got it wrong but this one is right.

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3 years ago