the relationship between the number of points scored and the likelihood of losing a football game which one is the independent variable answer

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Answer 1
Answer:

Answer:

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The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.

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Answer:

So the quotient of (x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10) has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)

Factorizing the expressions we have

(x^(2) + 3x -2x - 6)/(x^(2) -x - 5x + 5) X (x^(2) + 3x - x - 3)/(x^(2) -2x -5x + 10)

(x(x + 3)- 2(x + 3))/(x(x -1) - 5(x - 1)) X (x(x + 3) - 1(x + 3))/(x(x - 2) - 5(x - 2))

((x + 3)(x - 2))/((x - 5)(x - 1))X((x + 3)(x - 1))/((x - 2)(x - 5))

Cancelling out the like factors, (x -1) and (x - 2), we have

((x + 3)(x + 3))/((x - 5)(x - 5))

= ((x + 3)^(2) )/((x + 5)^(2) )

So the quotient of (x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10) has (x + 3)² in the numerator and (x + 5)² in the denominator.

Enter the equation of the circle described below.

Center (5, 2), radius = 3

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Equation of the circle;
(x-a)^(2) + (y-b)^(2) = r^(2)
a=5, b=2 and r= 3
(x-5)^(2) + (y-2)^(2) = 3^(2)
for a circle with center (h,k) and radius, r
the equaiton is
(x-h)^2+(y-k)^2=r^2

so

center=(5,2), radius=3

(x-5)^2+(y-2)^2=3^2
(x-5)^2+(y-2)^2=9

Find the solution set of the inequality: -3x + 8 < 15−3x+8<15minus, 3, x, plus, 8, is less than, 15 x

Answers

Answer:

The solution to the inequality is;

x > -7/3

Step-by-step explanation:

We want to find the solution to the inequality;

-3x + 8 < 15

We can have this as;

-3x < 15-8

-3x < 7

x > -7/3

Answer:

x>-7/3

Step-by-step explanation:

My question is, what is:  log6(4x-8)=3

Answers

log_6(4x-8)=3\ (*)\n\nD:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\n\n(*)\ 4x-8=6^3\n\n4x=216+8\n\n4x=224\ \ \ \ /:4\n\nx=56\in D
4x-8=6^3
4x-8=216
4x=224
x=56

Which of the following expressions is used when referring to the outcomes of two variables?a. mutually exclusive
b. joint probabilities
c. independent events
d. sample spaces Please select the best answer from the choices provided A B C D Mark this and return Save and Exit Next

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B. Joint Probabilities is the expression used when referring to the outcome of two variables.

Joint probability has this form:

f(x,y) = P(X=x, Y=y)  
where the probability that variables x and y happens at the same time.

in the xy-plane, the graph of the function f is a line. if f(2)=7 and f(12)=1, what is the value of f(7)?

Answers

Given that the function is a line

[f(7) - f(2)] / [7 - 2] = [f(12) - f(2)] / [12 - 2]

[f(7) - 7] / 5 = [1 - 7] / 10

[f(7) - 7] = 5 * [-6] / 10

[f(7) - 7] = - 3

f(7) = - 3 + 7 = 4