All categories

3 years ago

Divide 3x2 − 11x − 4 by x − 4.

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Answer:

3x+1

Step-by-step explanation:

Ann [662]3 years ago

4 0

Answer: 3x + 1

Step-by-step explanation:

Convert the numerator in factored form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Square root both sides

therefore you must

Substitute

You might be interested in

An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he

vredina [299]

The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.

When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.

Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)

The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².

The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².

Answer:
The variable current is 10x.

6 0

3 years ago

Help I’ll give 50 points 12) 4x- y=8 5x+y=1

Luba_88 [7]

12) 4x- y=8

5x+y=1

Correct.

4 0

3 years ago

Simplify the expression (-8/15)+(1/15)

Mice21 [21]

If it is fractions then the answer is -7/15. Think of as 8/15 - 1/15 except the answer is a negative number

4 0

3 years ago

The longest length of a sail on Jessica's sailboat is 12v40 feet long. Which number is equivalent to this length?

NISA [10]

Answer:48V/10

Step-by-step explanation:

I got it right from Khan Academy

3 0

2 years ago

ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

viva [34]

Answer:

The critical value of z for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let X = number of lightning strikes on each day.

A random sample of n = 23 days is selected to observe the number of lightning strikes on each day.

The random variable X has a sample mean of, $\bar x=8.1\ mn$ and the population standard deviation, $\sigma=0.51\ mn$ .

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Compute the critical value of z for 99% confidence interval is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760$

*Use a z-table.

The critical value of z for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)$

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0

3 years ago