Answer:
**Answer: ****2x² + x - 2** (the first option)

**Explanation:**

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x²

----------------------------------

4x³ - 9x² + 3x - 2

3) Second term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x² + x

----------------------------------

4x³ - 9x² + 3x - 2

-4x³ + x² - x

----------------------------

- 8x² + 2x - 2

4) third term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x² + x - 2

----------------------------------

4x³ - 9x² + 3x - 2

-4x³ + x² - x

----------------------------

- 8x² + 2x - 2

8x² - 2x + 2

-------------------------

0

5) Conclusion:** since the remainder is 0, the division is exact and the quotient is ****2x² + x - 2**

You can**verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.**

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x²

----------------------------------

4x³ - 9x² + 3x - 2

3) Second term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x² + x

----------------------------------

4x³ - 9x² + 3x - 2

-4x³ + x² - x

----------------------------

- 8x² + 2x - 2

4) third term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1

---------------------

-8x⁴ + 2x³ - 2x² 2x² + x - 2

----------------------------------

4x³ - 9x² + 3x - 2

-4x³ + x² - x

----------------------------

- 8x² + 2x - 2

8x² - 2x + 2

-------------------------

0

5) Conclusion:

You can

Answer:

**Answer:**

Answer: 2x² + x - 2 (the first option)

**Step-by-step explanation:**

got it right on quiz

The minimum monthly payment for Cody's credit card is 2% of his balance or $20, whichever is higher. If Cody's balance at the end of his last billing cycle was $870, what is his minimum monthly payment?

The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16, find the probability that the average percent of fat calories consumed is more than forty. (Round your answer to four decimal places.) 0.382 b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) 30.25 percent of fat calories

A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t. A g= 0.4tB t= 0.4GC g=2.5tD t=2.5gE g= 2/5 t

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, approximately what is the volume of vanilla ice cream in the cone? (round to nearest tenth) A) 1.0 in3 B) 2.1 in3 C) 4.2 in3 D) 6.3 in3

If x= 12 and y=3, what is the value of x-y²?

The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16, find the probability that the average percent of fat calories consumed is more than forty. (Round your answer to four decimal places.) 0.382 b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) 30.25 percent of fat calories

A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t. A g= 0.4tB t= 0.4GC g=2.5tD t=2.5gE g= 2/5 t

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, approximately what is the volume of vanilla ice cream in the cone? (round to nearest tenth) A) 1.0 in3 B) 2.1 in3 C) 4.2 in3 D) 6.3 in3

If x= 12 and y=3, what is the value of x-y²?

**Answer:**

**95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.**

**(0.5868 , 0.6532)**

**Step-by-step explanation:**

**Step(i):-**

*Given the survey was based on a sample of 800 companies*

*Given size 'n' = 800*

*A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year*

*sample proportion *

* p⁻ = 0.62*

*Step(ii):-*

**The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.**

**M.E = 0.017 X 1.96**

**M.E = 0.03**

**Step(iii):- **

**95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.**

( 0.62 - 0.0332 , 0.62+0.0332)

**(0.5868 , 0.6532)**

The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage is approximately 0.0245. The 95% confidence interval for the proportion of companies likely to require higher employee contributions is (0.5955, 0.6445).

To compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage, we can use the formula:

Margin of error = Z * sqrt((p * (1-p)) / n)

where Z is the Z-score corresponding to the desired confidence level (95% in this case), p is the proportion of companies likely to require higher employee contributions, and n is the sample size. Substituting the given values into the formula, we have:

Margin of error = 1.96 * sqrt((0.62 * (1-0.62)) / 800)

Calculating this value gives us a margin of error of approximately 0.0245.

To compute the 95% confidence interval for the proportion of companies likely to require higher employee contributions, we can use the formula:

Confidence interval = p ± margin of error

Substituting the given values into the formula, we have:

Confidence interval = 0.62 ± 0.0245

Calculating this value gives us a confidence interval of (0.5955, 0.6445).

#SPJ3

the ghosts changing at 10pm?

**Answer:**

The distance between the ghost changes at 10 pm approximately at a rate of 24.981 kilometers per hour.

**Step-by-step explanation:**

At first we assume that north and east directions both represent positive quantities. Let suppose that and . If both ghosts moves at constant velocity such that and , then the final positions of both ghosts are, respectively:

**Ghost A**

**(Eq. 1)**

**Ghost B**

**(Eq. 2)**

Where is the time, measured in hours.

Then, the equations of motion of each ghost are, respectively:

**Ghost A**

**Ghost B**

Then, the distance between both ghosts is:

**(Eq. 3)**

The magnitude of the relative is represented by the following Pythagorean identity:

Then, we find the rate of change of the relative distance (), measured in kilometers per hour, by implicit differentiation:

**(Eq. 4)**

If we know that , then the rate of change of the relative distance at 10 PM is:

The distance between the ghost changes at 10 pm approximately at a rate of 24.981 kilometers per hour.

**Answer:**

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

**Step-by-step explanation:**

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following **confidence interval of proportions.**

**In which**

z is the zscore that has a pvalue of .

**For this problem, we have that:**

**93% confidence level**

So , z is the value of Z that has a pvalue of , so .

**The lower limit of this interval is:**

**The upper limit of this interval is:**

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

To solve the problem shown in the figure above you must keep on mind the following information:

1. The figure shows a parabola whose vertex is (0,0).

2. The x² indicates that the red parabola shown in the figure is vertical

3. and the sign - indicates that the red parabola opens down.

Therefore, you can conclude that the red parabola has the equation f(x)=-x²

So,**the answer is B.**

1. The figure shows a parabola whose vertex is (0,0).

2. The x² indicates that the red parabola shown in the figure is vertical

3. and the sign - indicates that the red parabola opens down.

Therefore, you can conclude that the red parabola has the equation f(x)=-x²

So,

If we observe the graph of F(x) and G(x), F(x) can be obtained by shifting the graph of G(x) 4 units down.

Shifting 4 units down means subtracting 4 from the function value.

So, G(x) = 4 - x²

Thus,

F(x) = G(x) - 4

F(x) = 4 - x² - 4 = - x²

**Therefore, the correct answer is option B**

Shifting 4 units down means subtracting 4 from the function value.

So, G(x) = 4 - x²

Thus,

F(x) = G(x) - 4

F(x) = 4 - x² - 4 = - x²

B) 12%

C) 0.5%

D) 1.12

**Answer****:**

Given below.

**Explanation****:**

A) 0.02 = =

B) 12% = = =

C) 0.5% = =

D) 1.12 =

**Answer:**

**Step-by-step explanation:**

If one solution of a quadratic equation is a complex number (a + bi),

Other solution of the equation will be the conjugate of the first solution.

So the other solution will be in the form of (a - bi)

If one solution is, x = -4 - 5i

Other solution will be, **x = -4 + 5i**

If one solution is, x = 4 + 5i

Other solution will be, **x = 4 - 5i**

If one solution is, x = 5 - 4i

Other solution will be, **x = 5 - 4i**