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Alborosie
3 years ago
15

Well guys I hope you guys know the answer for this question. Help please ASAP. Thank you

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer: D) The linear model shows a strong fit to the data

The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.

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Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​
sergiy2304 [10]

Answer:

76

2 real solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

  • Positive - 2 solutions
  • Equal to 0 - 1 solution
  • Negative - No solutions/Imaginary

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 6x - 10 = 0

<u>Step 2: Identify Variables</u>

<em>Compare quadratic.</em>

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

<u>Step 3: Find Discriminant</u>

  1. Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)
  2. [Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)
  3. [Discriminant] Multiply:                                                                                    36 + 40
  4. [Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

8 0
3 years ago
Antonio deposits $1,750 into an account that earns 5% interest compounded daily. How much interest does he earn after 1 day?
Natali [406]

Answer:

He earns $0.24 in interest after 1 day.

Step-by-step explanation:

Compound interest:

A(t)=P(1+\frac{r}{n})^{n\ast t}

In which:

P is the principal, the amount of the initial deposit.

r is the yearly interest rate, as a decimal.

n is the number of compoundings during a year.

t is the number of years.

In this question:

Deposit of $1,750, so P = 1750.

Interest rate of 5%, so r = 0.05.

Compounded daily. A year has 365 days, so n = 365.

After 1 day. 1 day is 1/365 of an year, so t = 1/365.

The amount he will have after one day will be:

A=1750(1+\frac{0.05}{365})^{\frac{1}{365}\ast365}=1750(1+\frac{0.05}{365})=1750.24

The interest earned will be:

Amount after 1 day subtracted by the deposit.

Deposit of $1,750.

After 1 day, he will have $1,750.24.

1750.24 - 1750 = 0.24

He earns $0.24 in interest after 1 day.

6 0
1 year ago
How to solve -6x-5y=18<br> -5×+2y=22
Orlov [11]
-5 x 2y = 22
2y = 22 / -5 which is -4.4
y = -2.2
Substitute:
-6x + 11 = 18
-6x = 7
x = 7 / -6
6 0
3 years ago
Given f(x) = x^2 – 3 and g(x) = x+2/x . Find (g ° f)(4).
Gnom [1K]

Answer:

C

Step-by-step explanation:

Given the two functions, we need to find

(g ° f)(4)

This means, we need to put the function f(x) INTO the function g(x) and then evaluate that new function at x = 4.

We put the whole expression of f(x) into "x" of g(x). Shown below:

f(x)=x^2-3\\g(x)=\frac{x+2}{x}\\(gof)(x)=\frac{x^2-3+2}{x^2-3}\\(gof)(x)=\frac{x^2-1}{x^2-3}

Now we plug in 4 into x and evaluate:

(gof)(x)=\frac{x^2-1}{x^2-3}\\(gof)(4)=\frac{4^2-1}{4^2-3}\\(gof)(4)=\frac{15}{13}

Thus,

correct answer is C

5 0
3 years ago
What property is used to find (9-7)(5)=2(n)
tatuchka [14]

Answer:

Associative property

Step-by-step explanation:

7 0
3 years ago
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