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Contact [7]
1 year ago
13

The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is

Mathematics
1 answer:
marusya05 [52]1 year ago
4 0

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}

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A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

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2 years ago
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AnnyKZ [126]
Here,
cost of 18 ounce container of peanut butter = $3.28
cost of 1 ounce container of peanut butter = $3.28/18
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2 years ago
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Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy
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1 year ago
Read 2 more answers
Aeen is drinking a beverage that has a pH of 3.3. Marien is drinking a beverage that has a pH of 2.7. About how many time the hy
AlekseyPX
The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:

Aeen
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