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borishaifa [10]
3 years ago
8

Name the focus of y = 0.6x^2.

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Parabola
remember that
parabola equation is
4p(y-k) =(x-h)^2 for a verticl parabola
p=distance from vertex to focus and from vertex to directix
solve for p, k, h

y=0.6x^2

4p(y-0)=(x-0)^2
divide both sides by 4p
(y-0)=1/4p times (x-0)^2
y=0.6x^2

1/(4p)=0.6
find p
multiply 4p
1=2.4p
divide 2.4
1/2.4=p
h=0,k=0
vertex=0,0
opens up so go up to find focus
(0,0)
0+1/2.4=1/2.4
focus is at (0,1/2.4)

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A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?
Naily [24]

Answer:

2 x 7

Step-by-step explanation:

a * b = 14

2a + 2b = 18

(a * b)/b  = 14/b Dividing both sides by b

a = 14/b

Substitute a in the perimeter equation

2(14/b) + 2b = 18

28/b + 2b = 18

2b - 18 + 28/b = 0

Multiply both sides by b

2b^2 - 18b + 28 = 0

Divide both sides by two

b^2 - 9b + 14 = 0

The Factors of 14 include -2 and -7 which add up to -9

(b - 2) * (b - 7) = 0

This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.

2 x 7

4 0
3 years ago
Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
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This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
2 years ago
What is the solution to (4/2)4 + (1 + 3)?
julsineya [31]
I think it may be 12
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3 years ago
If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.
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Answer:

Step-by-step explanation:

It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.

From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.

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2 years ago
ASAP answer please. First is brainliest.
chubhunter [2.5K]

Answer:

A. d + c = 50

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Step-by-step explanation:

Mark me brainliest

6 0
3 years ago
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