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2 years ago

Which of the following terms appear in the expansion of (x+y)^8? The letter a in each term represents a real constant.

Mathematics

2 answers:

UkoKoshka [18]2 years ago

7 0

Answer: D. B.

Step-by-step explanation:

A P E X

Sedbober [7]2 years ago

5 0

The given expression is

$(x+y)^8$

The exponent of x is decreasing and y in increasing .

That is ,

$a x^8 + b x^7y+ c x^6y^2 + d x^5 y ^3 + e x^4 y^4 + f x^3 y^5 + g x^2 y^6 +h x y^7 + i y^8$

Where a,b,c,d,e,f,g,h,i are th constants

So the correct options are b and d .

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Consider the following: A medical researcher wants to determine the effects of pH (a measure of alkalinity or acidity, with pure

natita [175]

Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

Data in the table:

PH 4 5 6 7 8 9 10 11

Bacteria 116 120 131 136 141 151 148 163

Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?

<h3>Solution</h3>

See attached for scatter plot

We can see the chart is close to linear function. Let's build one based on data in the table

The line will be in the form of:

y = mx + b

If we use two points and get the equation

(4, 116) and (8, 141)

Finding the slope:

m = (141-116)/(8-4) = 25/4 = 6.25

Then, finding y-intercept:

116 = 6.25*4 + b
b = 116 - 25 = 91

So the line is:

y = 6.25x + 91

Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above

4 0

2 years ago

Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $

____ [38]

Answer:

C, D, and E

Step-by-step explanation:

When trying to solve for the cost of each item you will find a rainbow fish is $8.50 and a tetra is $2.50. If you use that information to solve the other answer choices C, D, and E would be correct

5 0

2 years ago

Read 2 more answers

the solution is n = –2 verified as a solution to the equation 1.4n 2 = 2n 3.2. what is the last line of the justification? a.0.8

madam [21]

The justification:
1.4 · ( -2 ) + 2 = 2 · ( -2 ) + 3.2
-2.8 + 2 = - 4 + 3.2
- 0.8 = - 0.8
Answer: B)

5 0

2 years ago

Given the function f(X)= |3x-7|, find the values of X that satisfy the equation f(X) = 4

Kay [80]

Answer:

x = 1 or x = $\frac{11}{3}$

Step-by-step explanation:

The expression inside the absolute value function can be positive or negative

That is 3x - 7 = ± 4

There are 2 equations to solve

(1)

3x - 7 = 4 ( add 7 to both sides )

3x = 11 ( divide both sides by 3 )

x = $\frac{11}{3}$

(2)

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

5 0

2 years ago

A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented the ta

alexandr402 [8]

So to put this in terms, we are going to have the cost of the equipment is equal to, a fixed rate + (a daily rate * the amount of days the equipment is rented). Without the fixed rate and daily rate, it is difficult to create an equation, but it will look something like this:

y=w+mx

y=how much it costs to rent the gym equipment
w=the fixed rate
m=the daily rate
x=the amount of days the equipment is rented.

5 0

2 years ago