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Alina [70]
3 years ago
9

Which are are the roots of the quadratic function F(q)=q^2-125?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
Q^2 - 125 = 0
q^2 = 125

q = +/- sqrt 125  =    11.18, -11.18
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Which of the following equations best represents the regression line for the data given in the
True [87]

The regression equation for the data given is y= -8.57 -2.31x

Step-by-step explanation:

The first step is to form a table as shown below;

x           y          xy         x²         y²

1            4           4          1          16

2            1            2          4         1

3            5          15         9         25

4             10         40        16       100

5             16         80        25      256

6              19        114       36        361

7               15       105       49       225

28             60       360      140     984  ------sum

A linear regression equation is in the form of y=A+Bx

where ;

x=independent variable

y=dependent variable

n=sample size/number of data points

A and B are constants that describe the y-intercept and the slope of the line

Calculating the constants;

A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²

A=(60)(140) - (28)(360)  / 7(140)-(28)²

A=8400 - 10080 /980-784

A= -1680/196

A= - 8.57

B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²

B= 7(360)-(28)(60) / 7(60) - (28)²

B=2520 - 1680 /420-784

B=840/-364

B= -2.31

y=A+Bx

y= -8.57 -2.31x

Learn More

Regression equation :brainly.com/question/12280902

Keywords : equations, regression line, data

#LearnwithBrainly

7 0
3 years ago
Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long
timofeeve [1]

Answer:

  • 108 ft

Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

<u>Vertical leg has the length:</u>

  • (250)/2 - 62 = 63 ft

<u>Using Pythagorean theorem to find the length of x:</u>

  • x² = (250/2)² - 63²
  • x² = 125² - 63²
  • x² = 11656
  • x = √11656
  • x = 107.96 ≈ 108

7 0
2 years ago
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. T
irina [24]

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

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so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

5 0
3 years ago
Simplify. 14a^2bc^4/21abc^6
kramer
14a^2bc^4/21abc^6 = 2a/3b^2
7 0
3 years ago
Read 2 more answers
I GIVVEEEEEE BRAINLILST
Wewaii [24]

Answer: 1/2?

Step-by-step explanation:

4 0
3 years ago
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