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3 years ago

11 4/5 + 3 5/6 and you have to add

Mathematics

2 answers:

Anarel [89]3 years ago

7 0

Answer:

15 19/30

Step-by-step explanation:

meriva3 years ago

5 0

Fraction: 15 19/30 decimal: 15.633333

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A student theater charges $9:50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen

kipiarov [429]

70 x 9.50 = 665 so 1000 - 665 =335 and 335 / 9.50 = 35 so, it needs 35 more tickets to get 1000.

4 0

3 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

Which function will have a y-intercept at –1 and an amplitude of 2?

Angelina_Jolie [31]

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

$h(x)=A\sin (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

The general form of cosine function

$h(x)=A\cos (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

In function, $f(x)=-\sin x-1$

Amplitude : $|A|=1$

y-intercept : -1

In function, $f(x)=-2\sin x-1$

Amplitude : $|A|=2$

y-intercept : -1

In function, $f(x)=-\cos x$

Amplitude : $|A|=1$

y-intercept : 0

In function, $f(x)=-2\cos x-1$

Amplitude : $|A|=2$

y-intercept : -1

Therefore, the correct options are B and D.

4 0

4 years ago

Read 2 more answers

Classify the following as either a discrete random variable or a continuous random variable.

taurus [48]

Answer: continuous random variable.

Step-by-step explanation:

A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.

A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.

Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.

4 0

3 years ago

Find two integers a and b between 1 and 20 such a a^2+b^2 is a perfect square

guajiro [1.7K]

4,9,16 are all options that ratio to 1,2,3

8 0

3 years ago