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3 years ago

What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?

Mathematics

1 answer:

MrRa [10]3 years ago

4 0

Tell me what x equals then I can awnser it do

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Emily;s family drove 254.6 miles. Their car used 19 gallons of gasoline. Describe the car's gas mileage.

Contact [7]

You take your miles driven divided by the gallons of gas used.

So,

254.6 miles/19 gallons = 13.4

The gas mileage of the car is 13.4

Hope this helps :D

3 0

4 years ago

The area of a square is increasing at the constant rate of 16sq.ft./min. When the perimeter of the square is 36ft, how fast is t

bixtya [17]

Answer:

The perimeter of square is increasing by 3.76ft/min and then by 3.4 ft/min.

Step-by-step explanation:

Given that area of square is increasing at a rate of 16 sq ft/min.

Given that final perimeter is 36ft

Perimeter of a square = 4 $\times$ side = 36

So, side, a' = 9 ft

We know that area of a square is given by the formula:

$A = side^2 = a^2$ (If we let side = a units)

Change in area =

$a'^2 - a^2\\\Rightarrow 9^2 - a^2 = 16\\\Rightarrow 81 - 16 = a^2\\\Rightarrow a = 8.06\ ft$

So, side got changed from 8.06ft to 9 ft.

So, perimeter when side was 8.06 ft:

$4 \times 8.06 = 32.24\ ft$

Hence, increase in the perimeter when perimeter is 36 ft is = 36 - 32.24 = 3.76 ft

For finding Next increase:

area gets changed from 81 sq ft to 81+16 = 97 sq ft

So, new side = $\sqrt{97}$ ft = 9.85 ft

Next increase in perimeter = 4 (New side - Old side)

= 4 (9.85 - 9)

= 3.4 ft/min

6 0

4 years ago

F(x) = x ^ 2 + 6x - 4 in vertex form

Svetach [21]

Answer:y=(x-6)^2-4

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need the answer pls

AleksAgata [21]

the answer is 32.........

8 0

3 years ago

Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th

pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0

3 years ago