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3 years ago

13

Divide using long division: (3z²-7z-28)/(z-4)

1 answer:

vodka [1.7K]3 years ago

5 0

I did my work on paper, hope this helps. If you need an explanation of how long division with polynomials works then just ask

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Help, with solving rational equations! I am no good at it :( Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over

mamaluj [8]

If this is your equation: $\frac{2}{5} + \frac{3}{5x} = \frac{x+5}{10}$
Solution:
LCD for 5 and 5x is 5x
$\frac{x}{x} ( \frac{2}{5} )+ \frac{3}{5x} = \frac{x+5}{10}$
$\frac{2x}{5x} + \frac{3}{5x} = \frac{x+5}{10}$
$\frac{2x+3}{5x} = \frac{x+5}{10}$
$10(2x+3)=5x(x+5)$ ←cross product
20x + 30 = 5x² + 25x ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6 ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work

4 0

3 years ago

Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0

3 years ago

A line has a slope of -3 and passes through the point (5,4)

Pachacha [2.7K]

Y-intercept form is y=-3x+19, I’m not sure what you question is

5 0

3 years ago

The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d

liberstina [14]

Answer: 0.0516

Step-by-step explanation:

Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of $\lambda=20$ .

The probability mass function for Poisson distribution:- $P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

For x= 15 and $\lambda=20$ , we have

$P(X=x)=\dfrac{e^{-20}(20)^{15}}{15!}=0.0516488535318\approx0.0516$

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516

7 0

3 years ago

Aliens spotted! They have pulled up 97 chickens, 47 cows, and 77 humans. What is the probability, if they randomly select from a

emmainna [20.7K]

The answer would be 0.34. Theres 77 humans out of 221 beings, which means 77/221. Simplifying this fraction gives us 0.34.

4 0

3 years ago