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1 year ago

2) (3 pt) Write the function from the table and graph.хf(x)-10004122130.52) f(x) =

Mathematics

1 answer:

DaniilM [7]1 year ago

4 0

(x - h)^2 = 4p(y - k)

(-1 - 3)^2 = 4p(8 - 0.5)

(-4)^2 = 4p(7.5)

16 = 30p

p = 16/30

p = 8/15

(x - 3)^2 = 16/15(y - 0.5)

15(x^2 - 6x + 9) = 16y - 8

15x^2 - 90x + 135 = 16y - 8

16y = 15x^2 - 90x + 135 + 8

y = 15/16 x^2 - 90/16 x + 143/16

f(x) = 15/16 x^2 - 90/16x + 143/16

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3 years ago

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3 years ago

When a number is a multiple of 6, what are the possible values for the ones digits?

Liula [17]

I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
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6x7=42
6x8=48
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The digits in bold are the one's digits so those are the only ones we really care about. If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers. This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6. Thus your answer is: 0,6,2,8,or 4

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3 years ago

Isaac Green Elimination (Level 1) Mar 17, 8:18:58 AM Find the solution of the system of equations. 8x + y = -13 8r 2y = 10

kicyunya [14]

Answer:

y = 23

x = -4.5

Step-by-step explanation:

Given:

Equation

8x + y = -13 ......eq1

8x + 2y = 10........eq2

Find:

Solution

Computation:

Eq2 - Eq1

y = 23

From eq1

8x + y = -13

8x + 23 = -13

8x = -36

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3 years ago

Please help me I need this question done by tonight. The amount that a consultant charges for her work can be modeled using a li

nataly862011 [7]

Answer: The consultant earn $50 each hour.

Explanation:

It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{450-400}{5-4}$

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$\text{Slope}=50$

In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.

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3 years ago