Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
-1, 2, 4

Answer:

it will be 5 x 5 bigger...  or 25 times bigger than 24   or 600 [tex]cm^{2}[/tex]

Step-by-step explanation:

The required area of new rectangle is 600 square meters.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Let the length of the rectangle = x cm,

And width of rectangle = y cm.

Given that,

The area of rectangle is 24 square centimeters.

The area of rectangle = length × width

xy = 24       (1)

When length and width are multiplied by 5,

The length becomes 5x and width becomes 5y,

The area of new rectangle = 5x × 5y

= 25 xy

Substitute the values of xy from equation (1),

Area = 25 × 24 '

        = 600

The area of new rectangle is 600 square centimeters.

To know more about Rectangle on:

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Answer:

C

Step-by-step explanation:

AP Classroom

Answer:

(15 * 10) / 30 = x

Step-by-step explanation:

Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.

(15 * 10) / 30 = x

150 / 30 = x

5 hours = x

Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.

Answer:

First you have to take a sleep

Answer:

9 units

Step-by-step explanation:

(0,7)-(-2,-2)= (2,9)

distance = 9 units

Answer:

2.2

Step-by-step explanation:

(-2,-0)^2+(-2,-7)^2

(-2)^2+(-9)^2

4+81

85

9.2

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

110 miles ................. 5 hours

176 miles ..................x hours

x = 176×5/110 = 880/110 = 8 hours

Answer:

150

Step-by-step explanation:

Steps below in pic

Answer:

олвововововлвлвлвлвлвлввлвлв

Answer:

[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

Answer:

Jonathan is deciding between two truck rental companies. Company A

charges an initial fee of go for the rental plus $1 per mile driven

Company B charges an initial fee of $10 for the rental plus $1.50 per

mile driven. Let A represent the amount Company A would charge if

Jonathan drives s miles, and let B represent the amount Company B

would charge if Jonathan drives s miles, Graph each function and

determine which company would be cheaper if Jonathan needs to

drive 60 miles with the rented truck,

Answer:

304/9 as fraction

33.7 decimal

I cannot say steps i apologize.

Step-by-step explanation:

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

Answer:

24.09 am I smart or what lol

Step-by-step explanation:

22 +2.09

Answer and Explanation:

The intercepts of the equation 5x + 3y = 15 are (3,0) and (0,5).

Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.

The A. P is

22,28,34,.....

So the n th term will be represented as

a+(n-1)d,

where a=22

And d=6

Now in (b) part the n th term is given i. e. 100

So by putting in the given values we could easily found the value of n

n=(100-22)/6=78/6=13

So the 13th term will be 100

Hope You Got It.

Answer:

Z - statistic = 0.25

P-value

P(Z=0.25) =  0.802587

The result is not significant at p<0.01

Step-by-step explanation:

Step(i):-

Given the random sample size 'n'' = 400

A random sample of 400 items where 82 were found to be​ defective

Sample proportion

                     [tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]

Given Population proportion

                    P = 0.20

Null Hypothesis : P = 0.20

Alternative Hypothesis : P≠ 0.20

Step(ii):-

Test statistic

          [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

         [tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]

Z - statistic = 0.25

Level of significance =0.01

P-value

P(Z=0.25) =  0.802587

Conclusion:-

The result is not significant at p<0.01

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

Answer:

y = 3.584

Step-by-step explanation:

Given

Variation = Inverse Proportional

When y = 7, x = 4

Required

Find y when x = 5

First, we need to represent the variation.

y varies inversely proportional to x³

This implies that

y ~ 1/x³

Convert variation to equation

y = k/x³

Make k the subject

k = x³y

When y = 7, x = 4

This gives:

k = 4³ * 7

k = 64 * 7

k = 448

To determine the value of y when x = 5;

We make use of y = k/x³

Substitute 5 for x and 448 for k

y = 448/5³

y = 448/125

y = 3.584

Answer:

1.35

Step-by-step explanation:

13.50 divided by 10 = 1.35

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

Answer:

0.11507

Step-by-step explanation:

Given that:

Mean (m) = 25

Standard deviation = 5

Proportion of subject in the population with score above 31

P(x > 31)

Obtain the standardized score of x = 31

Zscore = (x - m) / s

Zscore = (31 - 25) / 5

Zscore = 6 / 5

Zscore = 1.2

Hence, p(Z > 1.2)

Using the Z probability calculator :

p(Z > 1.2) = 0.11507

Answer:

27.5=2n OR 2n=27.5

Step-by-step explanation:

plug it in :)