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3 years ago

How does the graph y=-6x^2 -4 different from y=-6^2

Mathematics

1 answer:

Aloiza [94]3 years ago

4 0

Answer: $y=-6x^2$ never touches the y-axis

$y=-6x^2-4$ touches the y-axis at -4

Step-by-step explanation:

Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis

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Describe how to graph a line given an equation in standard form.

Archy [21]

This is pretty simple. So a standard form equation is probably something like this: 2x+8y=10.
We have to get that equation right there into a slope intercept, which is just isolating the variable y.
2x+8y=16
-2x -2x Subtract the x value.
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(8y=16-2x)/8 Divide the whole equation by 8 to isolate the y value.
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y=2-1/4x
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The fraction with the variable x is the slope. In this case, the slope is -1/4, so meaning it goes down one unit and goes right 4.
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The 2 is the y-intercept. (0, 2)

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4 years ago

a music teacher has 4 drum kits. Each kit has 2 drumsticks. Each drumstick cost $3. How many drumsticks does she have? What is t

Serhud [2]

Answer: to replace all of the drumsticks it would cost $24

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which expressions you is equivalent to 3(x+)?

NISA [10]

Answer:

C 3x + 12

Step-by-step explanation:

3(x + 4)

The 3 gets distributed to each term inside the parenthesis

3(x + 4) = 3x + 3*4

3(x + 4) = 3x + 12

7 0

3 years ago

#1. A 30 inch wire is bent into a scalene triangle. Its median side is 2 inches longer than

aivan3 [116]

Answer: the length of the longest side is 13 inches

the length of the of the median is 12 inches

the length of the of the smallest side is 5 inches

Step-by-step explanation:

Let x represent the length of the of the longest side of the scalene triangle.

Let y represent the length of the of the median side of the scalene triangle.

Let z represent the length of the of the smallest side of the scalene triangle.

The formula for the perimeter of a triangle is the sum of the length of each side. If the 30 inch wire is bent into a scalene triangle, the perimeter would be 30 inches. it means that

x + y + z = 30 - - - - - - - - - - 1

Its median side is 2 inches longer than twice its shortest side. This means that

y = 2z + 2

2z = y - 2

z = y/2 - 1

Its longest side is one inch longer than its median side. This means that

x = y + 1

Substituting x = y + 1 and z = y/2 - 1 into equation 1, it becomes

y + 1 + y + y/2 - 1 = 30

Multiplying through by 2, it becomes

2y + 2 + 2y + y - 2 = 60

5y = 60

y = 12

Substituting y = 12 into x = y + 1,

x = 12 + 1 = 13

Substituting y = 12 into z = y/2 - 1, it becomes

z = 12/2 - 1 = 6 - 1 = 5

8 0

3 years ago

Determine whether the function f(x) -1 / x^2 + x^4 is even odd or neither

kirill [66]

If f(-x) = f(x) then the function is even.

If f(-x) = -f(x) then the function is odd.

We have: $f(x)=\dfrac{-1}{x^2+x^4}$

calculate f(-x):

$f(-x)=\dfrac{-1}{(-x)^2+(-x)^4}=\dfrac{-1}{(-1x)^2+(-1x)^4}\\\\=\dfrac{-1}{(-1)^2x^2+(-1)^4x^4}=\dfrac{-1}{1x^2+1x^4}=\dfrac{-1}{x^2+x^4}=f(x)$

f(-x) = f(x), therefore your answer: The function f(x) is even.

If we have: $f(x)=\dfrac{-1}{x^2}+x^4$

$f(-x)=\dfrac{-1}{(-x)^2}+(-x)^4=\dfrac{-1}{x^2}+x^4$

f(-x) = f(x)

f(x) is even

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3 years ago