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emmainna [20.7K]
3 years ago
11

Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

Mathematics
2 answers:
Ne4ueva [31]3 years ago
4 0
\bf \qquad \qquad \textit{vertex of a parabola}\\\quad \\\begin{array}{llccll}
f(x)=&3x^2&-24x&+51\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
777dan777 [17]3 years ago
3 0
The vertex is x=4. You're welcome.
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Six friends equally share the cost of a gift. They pay $90 and receive $42 in charge . How much does each friend pay?
sergij07 [2.7K]

Answer:

$8.00

Step-by-step explanation:

Let's set up the equation first.

What do we know:

1. We have 6 friends spliting the costs of the gifts

2. After purchasing the gifts they have $42 in change

3. They originally had $90 to spend.

Equation:

6f + $42 = $90

Next: Subtract the $42 from each side and we are left with:

6f = $48

Divide both sides by 6 and we are left with

f = $8

Since f represented the cost each friend spent our answer is $8.00

3 0
3 years ago
Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:
fiasKO [112]

the first one ((x+8, y+2), r x-axis)

3 0
2 years ago
Andre draws a tape diagram for 3÷2/3
bija089 [108]

Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

4 0
2 years ago
Passes through (1,4) and is parallel to the line y=2x-3
Novay_Z [31]

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = 2

y-intercept: 4 - (2)(1) = 2

3 0
2 years ago
How much is 3.6 divided by 0.09
alexandr402 [8]
Your answer is going to be 40

3 0
3 years ago
Read 2 more answers
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