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3 years ago

Which of the following sets of points forms a linear function?

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

A. x=0, y=a*0+b=5, b=5
x=1, y=a*1+5=8, a=8-5, a=3
x=2, y=2*3+5=11
x=3, y=3*3+5=14

A is the answer

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What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?

Pani-rosa [81]

Answer: The required fourth term of the geometric sequence is $\dfrac{10}{9}.$

Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

$a(1)=30,~~~~~r=\dfrac{1}{2}.$

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

$a(n)=a(1)r^{n-1}.$

Therefore, the fourth term of the given geometric sequence will be

$a(4)=a(1)r^{4-1}=30\times r^3=30\times\left(\dfrac{1}{3}\right)^3=\dfrac{30}{27}=\dfrac{10}{9}.$

Thus, the required fourth term of the geometric sequence is $\dfrac{10}{9}.$

7 0

3 years ago

Read 2 more answers

What two numbers multiply to -8 and add to -4

Ronch [10]

Answer:

-2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

x(-4-x) = -8

-4x -x^2 = -8 . . . . . eliminate parentheses

x^2 +4x = 8 . . . . . . multiply by -1

x^2 +4x +4 = 12 . . . add 4 to complete the square

(x +2)^2 = 12

x +2 = ±√12 = ±2√3

x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

7 0

3 years ago

Plz help..................

Damm [24]

The correct answer is 34.0 ft.

6 0

3 years ago

A market sells bananas for $0.69 per pound. Which expression represents the cost, in dollars, of p pounds of bananas?

Black_prince [1.1K]

Hello There!

<u><em>$0.69p would be the correct answer because each pound costs $0.69</em></u>

6 0

3 years ago

Read 2 more answers

The volume of a rectangular prism is 420 cubic centimeters. The length, L, is 6 centimeters and the width, W, is 14 centimeters.

Harman [31]

Answer:

5 centimeters

Step-by-step explanation:

We know the equation to find volume is V = B x h, where B is the base of the prism. (It is also known as the simple V = l x w x h.)

No matter what equation you use, you will end up with V = l x w x h, since the base of a rectangular prism is length x width. So, we're going to plug in our known information to get 420 = 6 x 14 x h.

Then, we're going to multiply 6 x 14 to get 84. Now we have 420 = 84 x h. To isolate the h (in order to find what it is), we must divide both sides by 84.

420/84 = 5, so whats left of the equation is 5 = h, meaning your height is 5 centimeters.

4 0

3 years ago