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4 years ago

Simplify 5x^2+3x-11/x+3 what is the quotient and reminder?

Mathematics

1 answer:

Julli [10]4 years ago

3 0

I got 5x-12 with a remainder of 25

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Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,

DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

$y=4x-3$

A) If x is increased by 4 units

New value of y = $4(x+1)-3$

$=4x+4-3$

$=4x+1$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x+1-4x+3$

$=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

New value of y = $4(x-5)-3$

$=4x-20-3$

$=4x-23$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x-23-(4x-3)$

$=4x-23-4x+3$

= -20

Thus, the value of y will be decreased by 20 units.

7 0

3 years ago

Certain transportation company has a fleet of 210 vehicles. The average age of the vehicles is 4.25 years, with a standard devia

-BARSIC- [3]

Answer:

$z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054$

And we can find the following probability:

$P(z$

And the last probability can be founded using the normal standard distribution or excel.

Step-by-step explanation:

For this case we define the random variable X as the ages of vehicles. We know the following info for this variable:

$\bar X = 4.25$ represent the mean

$\sigma =18/12=1.5$ represent the deviation in years

They select a sample size of n=40>30. And they want to find this probability:

$P(\bar X$

Since the sample size is large enough we can use the central limit theorem and the distribution for the sample mean would be:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 4 we got:

$z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054$

And we can find the following probability:

$P(z$

And the last probability can be founded using the normal standard distribution or excel.

3 0

3 years ago

Help me out ASAPP, appreciate it very muchh

stiv31 [10]

Answer:

0.3432 units^2

Step-by-step explanation:

Variable A = area

A = length × width

A = 1.32 units × 0.26 units

A = 0.3432 units^2

8 0

3 years ago

One of the common factors of 24 and 60 is 6. What is the GCF of 24 and 60? What does the value of the GCF represent?

OleMash [197]

Answer:

Step-by-step explanation:

It is the greatest commen factor

7 0

3 years ago

Read 2 more answers

Solve x^2 = 5.

Phantasy [73]

Answer:

Step-by-step explanation:

Take the square root of x^2 which would make the left side x and the right side the square root 5

5 0

4 years ago

Read 2 more answers