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3 years ago

I have no clue Question 7

Mathematics

1 answer:

Fed [463]3 years ago

5 0

Answer: 27 $a^{-6}b^{3}$

Step-by-step explanation:

you can isolate the separate terms so you get

3^3 x a^(-2x3) x b^3 = 27 a^-6b^3

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Consider the following quadratic equation x^2 =4x -5. How many solutions does it have?

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Elaine has a piece of wire that is 2.16 meters long.Dikembe has a piece of wire that is 2.061 meters long. whose piece of wire i

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28. Rewrite the Scientific Notation into expanded form (normal number).<br> 8.675309 x 10

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86.75309 is the answer

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3 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

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3 years ago

A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W

crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

6 0

3 years ago