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Nutka1998 [239]
3 years ago
5

The parabola with equation $y=ax^2+bx+c$ is graphed below:

Mathematics
2 answers:
sineoko [7]3 years ago
8 0

Answer:

2

Step-by-step explanation:

Source: AOPS

Mashutka [201]3 years ago
4 0

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

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The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
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\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

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  • children be y

Total number of people : adults + children

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Total money earned from adults :

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Total money earned from children :

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Therefore, total money = money earned from each Adult and children.

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Now, let's plug the value of x from equation [1] into equation [2]

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_____________________________

\mathrm{ ☠ \: TeeNForeveR \: ☠}

7 0
3 years ago
Hey need some help quick
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If z=\pm 15i has to be a solution of the equation, just plug it in:

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spayn [35]

Answer: Andre picked 252 pounds of apples

Step-by-step explanation:

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Let y = number of pounds of apple picked by Andre

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7 0
3 years ago
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