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solmaris [256]
3 years ago
12

How do I find vertex

Mathematics
1 answer:
algol133 years ago
6 0

Answer:

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.

Step-by-step explanation:

You might be interested in
F(x)=-3/5x+k and if f(30)=-11 what is the value of k
Kruka [31]

Answer:

k=20.

Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.

6 0
3 years ago
The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
Nataly_w [17]
<span>Solution:

We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c 
</span>volume of the prism = v = 2058 cm³

Use: c = (3x)(x)
c = 3x² 

Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7

a = 3x
a = 3(7)
a = 21 

b = x 
b = 7

h = 2x
h = 2(7)
h = 14

c = 3x²
c = 3(7)²
c = 3(49)
c = 147

a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²

6 0
3 years ago
PLEASE ANSWER QUICKLY
Strike441 [17]

ANSWERS AND STEPS???

3 0
3 years ago
there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay
r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) <u>P=12n-275 </u>

B) <u>124 </u>

C) <u>Decrease by $100 </u>

Step-by-step explanation:

A) <u>P=12n-275 </u> - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) <u>1,213=12n-275</u>  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

<u>n=124 </u> - This the number (n) of people that attended.

C) <u>P=12n-375 </u> - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

<u>P=1,113 </u> - This is your profit.

<u>1,113-1,213=-100 </u> - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0
3 years ago
There are 7 tigers in a castle,each tiger has 7 children,each child has 7 tiger friends,then how many tigers are there in the ca
Ksenya-84 [330]
There are 7 parent tigers
Parents = 7


7 tigers each have 7 children. That means there's total of 7 × 7 children.
Children = 7 × 7 = 49

Each child has 7 friends. That means there's total of 49 × 7 friends.
Friends = 49 × 7 = 343

Total = 7 + 49 +343 = 399 TIGERS
I'm not a tiger so I'm not counting myself.

3 0
4 years ago
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