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2 years ago

How do i graph the parabolas y = 1/32x^2

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

7 0

$y=\frac{1}{32}x^2 \\ \\x=-16 \Rightarrow y=\frac{1}{32} *(-16)^2=\frac{1}{\not32^1}*\not256^8=8\\ \\x=-8 \Rightarrow y=\frac{1}{32} *(-8)^2=\frac{1}{\not32^1}*\not64^2=2\\ \\x=0 \Rightarrow y=\frac{1}{32} *(0)^2=\frac{1}{\not32^1}*0=0 \\ \\x=8 \Rightarrow y=\frac{1}{32} *(8)^2=\frac{1}{\not32^1}*\not64^2=2 \\ \\x= 16 \Rightarrow y=\frac{1}{32} *( 16)^2=\frac{1}{\not32^1}*\not256^8=8$

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There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats

yawa3891 [41]

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

8 0

2 years ago

How to find y intercept and slope for y=4x-7

Nikolay [14]

Answer:

y= -7

Step-by-step explanation:

First, you replace the x with zero.

y=4*0-7

Then, you simplify the right side of the equation.

y=0-7

y= -7

5 0

2 years ago

Read 2 more answers

-1 + 14x = 12x + 17 Whats the answer ? what is x

Finger [1]

Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

8 0

2 years ago

Please help me solve this

In-s [12.5K]

Step-by-step explanation:

Erase the dot points you already have. We are supposed to substitute those values in the right side of problem 1 into the function as x.

For example if x=-4

$- ( - 4) + 5 = 9$

If x=-2

$- ( - 2) + 5 = 7$

If x=0

$0 + 5 = 5$

$- 2 + 5 = 3$

$- 4 + 5 = 1$

So our point should be

-4,9

-2,7

0,5

-2,3

-4,1.

The range is all possible y values in a function. Since this is discrete and we are given the domain, our range will just be the y value of the points you graphed.

(9,7,5,3,1)

5 0

2 years ago

A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?

Hatshy [7]

<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

Solution:

The volume of triangular prism is given as:

$v = base\ area \times height$

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

Substituting the values we get,

$428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2$

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0

3 years ago