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4 years ago

What is the coefficient of the term x7y in the expansion of (x + y)8?

1 answer:

4 0

The coefficient means the number before the unknown so 8(x+y) would equal 8x+8y so the coefficient would be 8 and for x7y the coefficient of x is 1 because there is nothing infront of it and the coefficient of y is 7

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Answer and or help would be much appreciated work is due and needs to be submitted

riadik2000 [5.3K]

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

4 0

3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

alexandr1967 [171]

The total cost of the bracelet will be $96.

The number of charms will be 2.

Step-by-step explanation:

Given,

Cost per charm at Dayton Fine Jewelry = $17

Cost of bracelet = $62

Let,

x be the number of charms

y be the total cost

y = 17x+62 Eqn 1

Cost per charm at Cain Jewelers = $18

Cost of bracelet = $60

y = 18x+60 Eqn 2

For same cost;

Eqn 1 = Eqn 2

$17x+62=18x+60\\62-60=18x-17x\\2=x\\x=2$

Putting x=2 in Eqn 1

$y=17(2)+62\\y=34+62\\y=96$

Putting x=2 in Eqn 2

$y=18(2) +60\\y=36+60\\y=96$

The total cost of the bracelet will be $96.

The number of charms will be 2.

Keywords: equation, addition

Learn more about addition at:

#LearnwithBrainly

4 0

4 years ago

Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.

allochka39001 [22]

Answer:

The answer to each question is:

A.) 403.2 $cm^{2}$
B.) 100. 8 $cm^{2}$

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

Apothem = Edge * $\frac{2+\sqrt{3}}{2}$

If we replace the value of the edge, we obtain:

Apothem = 6 cm * $\frac{2+\sqrt{3}}{2}$
Apothem = 11.2 cm (approximately).

With this data, we can find the area:

Area of a dodecagon = 6 * apothem * edge
Area of a dodecagon = 6 * 11.2 cm * 6 cm
Area of a dodecagon = 403.2 $cm^{2}$

Then, the area of the dodecagon is 403.2 $cm^{2}$ approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

12 pieces = 403.2 $cm^{2}$
3 pieces = X

Then:

X = (3 * 403.2 $cm^{2}$ ) / 12
X = 1209.6 $cm^{2}$ / 12
X = 100. 8 $cm^{2}$

In this form, when the cookie has 3 pieces, its area is 100. 8 $cm^{2}$ approximately.

5 0

3 years ago

caley is making some punch for her birthday party.She mixes 1/2 litre of cranberry juice,1/1/2 litres of apple juice,2/3 litre o

vlabodo [156]

Answer:

yes it will contain it

Step-by-step explanation:

.5 + 1.5 + .66 + .8 = 3.46

7 0

4 years ago

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to

tangare [24]

Answer:

a. decrease

b. recklessly

c. increase

Step-by-step explanation:

Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.

Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents

5 0

3 years ago