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2 years ago

Does anybody have the answer to this because I’m trying to make sure of my answer

Mathematics

1 answer:

inessss [21]2 years ago

3 0

Answer:

a-10

b-8

c-5

d... draw 3 circles, one for people who like just skateboarding, roller skating, and neither. Then in the skateboarding section put 10, and for roller skating add 8. In between roller skating and skateboarding add 5. In the neither circle write 8.

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SOMEONE HELP ME PLEASE ILL GIVE BRAINLY

e-lub [12.9K]

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

$x^2-2x=3$

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

$x^2-2x+1=3+1$

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

$(x-1)^2=4$ (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

$y=(x-1)^2-4$

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

8 0

2 years ago

I need help please. I don't understand

Viktor [21]

Answer:

a. y = 0.56x -17.78 . . . . y = Celsius temperature; x = Fahrenheit temperature

b. 37.436 °C

c. interpolation

d. 83.2 °F

Step-by-step explanation:

a. In most cases, finding the linear regression equation that fits a table of data involves somewhat tedious calculations best performed by a calculator or computer. The general approach is to enter the data into the necessary list(s) or table, and invoke the necessary function.

In Microsoft Excel (and many other spreadsheet programs), you can chart the data in the usual way, then choose the option to add the regression equation to the chart.

In the Desmos calculator used here, the data can be entered into a table, and a generic equation written relating the table entries. Any unknown constants in the equation are computed by Desmos so as to maximize the correlation between the equation and the data. Using a linear equation results in a linear regression computation.

This calculator tells us what we should already know (from previous knowledge of Fahrenheit–Celsius conversion).

y ≈ 0.56x -17.78

(We already know the actual conversion is y = (5/9)(x -32) = (5/9)x -(17 7/9). The above is what you get when the numbers are rounded to hundredths, as required by this problem.)

___

b. Using the above equation for x=98.6, we get

y = 0.56·98.6 -17.78 = 55.216 -17.78 = 37.436 . . . °C

___

c. Since we're finding a value between values already in the table, the process is called interpolation. (Extrapolation is used to find values beyond those that are already in the table. The prefixes inter- (between) and extra- (beyond) can help you remember what these terms mean.)

___

d. In this part, we're asked to find x that corresponds to y=28.8. We fill in the value and solve.

28.8 = 0.56x -17.78

46.58 = 0.56x . . . . . . add 17.78

46.58/0.56 = x ≈ 83.179 ≈ 83.2 . . . . . divide by the coefficient of x; round appropriately. Units are °F.