Help, Please!
Synthetic division of the polynomial p(x) is shown in the table. Use it to write the polynomial function p(x), divisor d(x), remainder r, and new polynomial f(x) that can be used further to find other factors. Explain your answer.

Answer:

Coin A : [tex]V(t)=25(1.07)^t[/tex]

Coin B : [tex]V(t)=40(1.05)^t[/tex]

Step-by-step explanation:

Consider the given formula is  

[tex]V(t)=P(1+r)^t[/tex]

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

[tex]V(t)=25(1+0.07)^t[/tex]

[tex]V(t)=25(1.07)^t[/tex]

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

[tex]V(t)=40(1+0.05)^t[/tex]

[tex]V(t)=40(1.05)^t[/tex]

Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.

Answer:

let me know when you have the anwser

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

To solve this question we will try to factor the expressions given in each option.

Option (1)

g⁵ - g = g(g⁴ - 1)

         = g(g² - 1)(g² + 1)

         = g(g - 1)(g + 1)(g² + 1)

Option (2)

4g³ + 18g² + 20g = 2g(2g² + 9g + 10)

                            = 2g[2g + 5g + 4g + 10]

                            = 2g[g(2g + 5) + 2(g + 5)]

                            = 2g(2g + 5)(g + 2)

Option (3)

24g² - 6g⁴ = 6g²(4 - g²)

                 = 6g²(2 - g)(2 + g)

Option (4)

2g² + 5g + 4

This expression is the in the completely factored form.

Answer:

yes its D :)

Step-by-step explanation:

other guy has the math, i just know the answer, sorry lol

Answer: 7 packages

Step-by-step explanation:

From the question, we are told that a truck is to be filled with packages that weigh 5.8kg. The maximum capacity of the truck is 48000 grams(48kg) and there is a 5500 gram(5.5kg) package already in the truck.

First, we need to subtract 5.5kg from 48kg to know the amount of space left. This will be:

= 48kg - 5.5kg

= 42.5kg

To get the number of 5.8kg packages that can be loaded, we divide 42.5kg by 5.8kg. This will be:

= 42.5kg/5.8kg

= 7.3

= 7 approximately

Therefore, 7 packages will be loaded.

N.B: 1000 grams = 1 kilogram

Answer:

[tex] \sqrt{9} \times \sqrt{16} [/tex]

Step-by-step explanation:

[tex] \sqrt{9} \times 16 = \sqrt{9} \times \sqrt{16} = 3 \times 4 = 12[/tex]

Hope this helps ;) ❤❤❤

Answer:

sqrt(9) * sqrt(16)

Step-by-step explanation:

sqrt( 9*16)

We know that sqrt(a*b) = sqrt(a) sqrt(b)

sqrt(9) * sqrt(16)

3*4

12

Answer:

The Museum is 7 blocks south and 3 blocks east

Step-by-step explanation:

Since from the hotel Ruby went 1 block west (left) during the whole time traveled, you would go 3 east (from hotel to museum).

Then in total Ruby went south 7 blocks.

Answer:

P=20

Step-by-step explanation:

first find the distance between the points:

AB, BC,CD and DA

A(2,-3) , B(4,-3) , C(4,5) , D (2,5)

distance d= √(x2-x1)^2+(y2-y1)^2

for AB= d= √(4-2)^2+(-3-(-3))^2

AB=2

same thing for the rest of the lines

BC=√(4-4)^2+(5-(-3))^2

BC=8

CD=2

DA=8

perimeter=8+8+2+2=20

Answer:

x^2+y^2=25

Step-by-step explanation:

x^2+y^2=25 graphs a circle. A relation is a function if every x only has one y value. This is not true in a circle.

Answer:

d) x^2 + y^2 = 25.

Step-by-step explanation:

D is the equation of a circle so it fails the vertical line test for a function. If a relation is a function then any vertical line passing through it's graph will only intersect it once. This is not true of a circle.

Answer: 25.71

Step-by-step explanation:

The area of a triangle is b*h/2. First, focus on finding the missing height. To find the height, use the pythagorean theorem. The pythagorean theorem only works on rights triangles. If you divide the triangle in half (vertically), you end up with two right triangles. From there, use the pythagorean theorem. The equation for the theorem is a²+b²=c². a and b are the sides and c is the hypotenuse(longest side).

1. For this triangle, you have the base and hypotenuse. Because there are technecally two right triangles, divide the base into two. 7.2/2 is 3.6.

2. Going back to what I said about a²+b²=c² , fill in the variables. The pythagorean theorem is used to find a missing side in a right triangle, so in this case, you would use it to find the height. 3.6²+X²=8². X represents the height which is 7.14

3. Finally, 7.14*7.2= 51.43.

4. Divide 51.43 by 2. 51.43/2 is 25.72.

I hope this wasn't too difficult to understand bc it's harded to explain without visuals. Hope this helped!

Answer:

[tex]\boxed{25.72 \: units^2}[/tex]

Step-by-step explanation:

Split the triangle into two triangles.

The base of one triangle is 3.6 and hypotenuse (longest side) is 8.

Use Pythagorean theorem to find length of one leg.

a² + b² = c²

3.6² + b² = 8²

b = 7.144228

The area of a triangle is [tex]\frac{1}{2} bh[/tex]

The base and height both are given now.

[tex]\frac{1}{2} (7.144228)(3.6)[/tex]

[tex]12.85961[/tex]

Multiply by 2 because there are two triangles.

[tex]12.85961 \times 2[/tex]

[tex]25.719221[/tex]

Answer:

A. 56

Step-by-step explanation:

3 out of 8 toppings:

= 8!/5!*3!

=8*7*6/3*2*1

=8*7

=56

I hope this helps...

Answer:

A. 56

Step-by-step explanation:

Write an equation using fractorials (2!, 3!, 4! etc)

8! ÷ 5! x 3!

8!, 5!, and 3! mean 8, 5, and 3 fractorials.

We need to multiply backwards  in order to solve the fractorials in the equation above this line:

8 x 7 x 6 ÷ 3 x 2 x 1 = 224

Finally, divide 224 by 4

224 ÷ 4 = 56

so the answer is 56.

Hope this helps! Have a good day! (PLS GIVE BRAINLIEST)

Answer:

Solution,

Base ( BC ) = 22 cm

Perpendicular ( AC) = 8 cm

Hypotenuse (AB) = ?

Now,

Using the Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = {(8)}^{2} + {(22)}^{2} [/tex]

[tex] {h}^{2} = 64 + 484[/tex]

[tex] {h}^{2} = 548[/tex]

[tex]h = \sqrt{548} [/tex]

[tex]h = 23.40 \: cm[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

1/17 0r 6%

Step-by-step explanation:

the answer is rounded up for you

Answer

260 kilograms

Step-by-step explanation:

the correct answer is 260 kg

Answer: 12.6 kg

Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams

Answer:

Step-by-step explanation:

This problem bothers on the conversion of units

to get the scale we need to know how many millimetres are there in one km.

Hence the scale is 1,000,000 mm:1 km

Answer:

11/60

Step-by-step explanation:

hello

in total there are 120 ppl

22 are vanilla cones

so the probability that this person bought a vanilla a ice cream cone is 22/120=11/60

hope this helps

Answer:

D.

Step-by-step explanation:

Original dimensions:

L = x

W = x

Now we reduce the width by 2 ft and increase the length by 2 ft.

L = x + 2

W = x - 2

The area is the product of the length and width.

A = LW = (x + 2)(x - 2)

The original length and width are 10 ft.

L = W = x = 10

A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96

The new area is 96 sq ft.

Answer: D.

Answer:

151515 not found

Step-by-step explanation:

For every 555 nuts found, 333 are not.  This gives a total of 888.

555 + 333 = 888

Divide the total number of nuts by this number.

404040/888 = 455

Multiply the number that get found and the number that don't by the number calculated above.

555 × 455 = 252525

333 × 455 = 151515

252525 nuts will be found and 151515 will not.

Answer:

15

Step-by-step explanation:

Answer:

The new dimensions are 6.18 cm by 16.18 cm.

Step-by-step explanation:

Original dimensions were 30 cm by 20 cm.

We decrease length and width by x and calculate the area:

Area = (length)(width)

        = (30 - x)(20 - x) = 100

Performing the indicated multiplication, we get:

600 - 30x - 20x + x^2 = 100, or, after simplification,

x^2 - 50x + 500 = 0

Let's solve this by completing the square:

x^2 - 50x + 500 = x^2 - 50x + 625 - 625 + 500 = 0

This simplifies to (x - 25)^2 - 125 = 0, or (x - 25)^2 = 125

Taking the square root of both sides, we get:

x - 25 = ±√125, or

x = 25 ± 5√5

The two results are x = 36.18 (not possible, because we DECREASED the original dimensions) and x = 13.82 (possible)

The dimensions of the new rectangle are

(30 - 13.82) cm by (20 - 13.82) cm, or

16.2 cm by 6.18 cm

Check:  With these dimensions is the area 100 cm^2, as expected?

(6.18)(16.18) = 99.9979    YES

Answer:

B: (3x + 81)(x - 1)

Step-by-step explanation:

[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.

First, we must find the area of the rectangular driveway.

A = l × w

A = 15.75 × 3

A = 47.25

So, the area of the driveway is 47.25 yd².

Next, we need to multiply the cost of each square yard by the area.

49.75 × 47.25 = 2350.6875

This can be rounded to 2,350.69.

Answer:

The probability is 0.2423.

Step-by-step explanation:

Given mean per capita = 19292 dollars

Given the variance = 540225

Now find the probability that the sample mean will be less than 19269 dollar when the sample is 499.

Below is the calculation:

[tex]\bar{X} \sim N(\mu =19292, \ \sigma = \frac{\sqrt{540225}}{\sqrt{499}}) \\\bar{X} \sim N(\mu =19292, \ \sigma = 32.90) \\\text{therefore the probability is:} \\P (\bar{X}< 19269) \\\text{Convert it to standard normal variable.} \\P(Z< \frac{19269-19292}{32.90}) \\P(Z< - 0.6990) \\\text{Now getting the probability from standard normal table}\\P(Z< -0.6990) = 0.2423[/tex]

Answer:

Option (C)

Step-by-step explanation:

Since FJ is the bisector of AD,

AL ≅ DL

And it's given that BL ≅ LC

Length of BL is 10 less than the length of AB.

m(BL) = m(AB) - 10

m(AD) = 220 [Since m(AD) = 2m(AL)]

2m(AL) = 220

m(AL) = 110

m(AB) + m(BL) = 110

m(AB) + [m(AB) - 10] = 110

2m(AB) = 110 + 10

m(AB) = 60

Therefore, m(BL) = m(AL) - m(AB)

                            = 110 - 60

                            = 50

Since, m(AL) = m(DL)

m(AB) + m(BL) = m(LC) + m(CD) [Since BL = LC]

m(AB) = m(CD) = 60

Now m(BD) = m(BL) + m(LC) + m(CD)

                   = 50 + 50 + 60

                   = 160

Therefore, option (C) will be the answer.

Answer:

false

false

negative

0

a+b/2

17/54

0

-12/25

2/7(-1/5)+2/7 times 3/8

1

Step-by-step explanation:

if u do KFC or KCF u can see its not equal

if pos divided by pos it equals pos

pos divided by neg is neg

neg divided by neg is pos

zero is the additive identify

a rational number between two rational numbers a and b is a plus b divided by 2

hope this helps

Answer:

The equation that describes the function is y = -6x-1

Step-by-step explanation:

Firstly we can see that the graph passes through the origin.

The general equation of a starlight line graph is;

y = mx + c

where m is the slope and c is the y-intercept

what’s left now is go find our slope

We need two points for this on the line.

Let’s identify these points;

The identifiable points are; (1,-7) and (-1,5)

So the formula for the slope is;

y2-y1/x2-x1 = (5-(-7))/(-1-1) = 12/-2 = -6

Thus, the equation of the line becomes

y = -6x + c

Looking at the graph again, we can see an obvious y-intercept at the point y = -1

So our intercept is -1

The equation of the line is thus;

y = -6x -1

Answer:

4(x+8)

Step-by-step explanation:

4x+32

x+8 in parentheses

and put the 4 on the outside of the parentheses

like this 4(x+8)

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Rewriting

4*x + 4*8

Factor out 4

4(x+8)

Answer:

the nonlinear system of equations have D. three solutions

Answer:

$180.20

Step-by-step explanation:

15% of $4800=$720

$4800-$720=$4080

6% of $4080=$244.8

$4080+$244.8=$4,324.80

$4,324.80/24=$180.20

so you would pay $180.20 a month

Answer:

Step-by-step explanation:

The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.

Answer:

The second option.

Step-by-step explanation:

When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).

According to the graph provided, the lines are intersecting at one point: (2, 1).

So, your answer will be the second option!

Hope this helps!