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2 years ago

What is the value of h? h = 20 h = 35 h= 55 h = 70

Mathematics

1 answer:

AlladinOne [14]2 years ago

7 0

Step-by-step explanation:

h=55

If you need a explaination message me on the comments

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PLEASE GUYS THIS IS THE HARDEST MATH PORBLEMS PLEASE ASAP PLEASE I NEED HELP PLEASE T_T

Alexandra [31]

The simplified form of R(x) is $R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}$

<h3>Simplifying an expression </h3>

From the question, we are to simplify the expression

From the given information,

$f(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30}$

and

$g(x) =\frac{x^{2}-9x+20 }{x^{2}-12x+36}$

Also,

$R(x) = f(x) \div g(x)$

∴ $R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \div \frac{x^{2}-9x+20 }{x^{2}-12x+36}$

$R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \times \frac{x^{2}-12x+36 }{x^{2}-9x+20}$

Factoring each of the quadratics

$R(x) =\frac{x^{2}-7x-4x+28 }{x^{2}-6x-5x+30} \times \frac{x^{2}-6x-6x+36 }{x^{2}-4x-5x+20}$

$R(x) =\frac{x(x-7)-4(x-7) }{x(x-6)-5(x-6)} \times \frac{x(x-6)-6(x-6) }{x(x-4)-5(x-4)}$

$R(x) =\frac{(x-4)(x-7)}{(x-5)(x-6)} \times \frac{(x-6)(x-6)}{(x-5)(x-4)}$

Simplifying

$R(x) =\frac{(x-7)}{(x-5)} \times \frac{(x-6)}{(x-5)}$

$R(x) =\frac{(x-7)(x-6)}{(x-5)(x-5)}$

$R(x) =\frac{x^{2} -6x-7x+42}{x^{2} -5x-5x+25}$

$R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}$

Hence, the simplified form of R(x) is $R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}$

Learn more on Simplifying an expression here: brainly.com/question/1280754

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7 0

2 years ago

Help with #8 please

Ahat [919]

Answer: (2) p=67 and q=15

Step-by-step explanation:

If you 82 and 31 together you would get 113 and you know that a triangle equals 180° so you take 180-113 and you get 67. You do the same for the other triangle you take a 98° and the new angle which is 67 and add them together and you get 165 so then you get 180 which is your overall triangle degree and subtract 165 from it and you get 15 which is Q, angle Q equals 15°

5 0

3 years ago

Can someone help me please

Ad libitum [116K]

Answer:

a) = 8

Step-by-step explanation:

You add up all the numbers then divide that number by how many numbers you had. 4+5+7+11+13=40 40/5.

Do you want the rest?

3 0

3 years ago

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Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

The graph of a line goes up and to the right when:

Afina-wow [57]

<h3><u>Answer:</u></h3>

Option: C is the correct answer.

c) the coefficient of x is positive

<h3><u>Step-by-step explanation:</u></h3>

We know that graph of a line goes up and to the right when the coefficient of x is positive.

Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:

$y=mx+c$

as m is positive this means that:

the coefficient of x is positive.

Hence, the correct answer is:

c) the coefficient of x is positive

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3 years ago

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