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4 years ago

If h(x) = 3x²–2x²+ Kx-5 is divided

Mathematics

1 answer:

sergij07 [2.7K]4 years ago

7 0

Let f(x)=x3(exponent)+kx2(exponent)+x+5

When f(x) is divided by (x+2) the remainder is =3

This is the remainder theorem

so,f(−2)=−8+4k−2+5=3

4k=3+5=8

k=2

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HELP PLEASE.<br> Both questions.

egoroff_w [7]

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle

So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.

Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

I hope that helps!

I am with you if you faced any difficulties!

5 0

4 years ago

What is the slope of (-8, 2) and (1, -4).

Airida [17]

Answer:

-2/3

Step-by-step explanation:

To find the slope of two points

m = (y2-y1)/ (x2-x1)

= (-4-2)/(1--8)

= (-4-2)/(1+8)

= -6/9

-2/3

8 0

4 years ago

Read 2 more answers

Find the mean median and mode of the deta set 1,6,3,9,6,8,4,4,4

Firlakuza [10]

Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4

4 0

4 years ago

Read 2 more answers

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

frosja888 [35]

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3

This means that $\mu = 3$

P(1≤X≤3) ?

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974$

4 0

3 years ago

-3x+2y=6 Find the intercepts. Show your work.

Arte-miy333 [17]

Answer:

The x-intercept is (-2,0)

The y-intercept is (0,3)

Step-by-step explanation:

An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:

$-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2$

So, the x-intercept is (-2,0).

Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:

$-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3$

Thus, the y-intercept is (0,3).

3 0

3 years ago