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2 years ago

13

the graph shows that lisa's earnings are proportional to the number of hours that she works.This relationship can be represented

by an equation in the form y = kx. what is the value of k in the equation?

1 answer:

Annette [7]2 years ago

3 0

c. 25 because she gets $25 per hour

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Write a reclusive rule for the sequence, then give the next two numbers in the sequence 6,1,7,8,15,23

vlabodo [156]

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

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3 years ago

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Find the value of x in the triangle shown below.

ycow [4]

Answer:

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What is the value of (-4) (32)(1/4)?

Naddika [18.5K]

Answer:

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Step-by-step explanation:

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2 years ago

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

$(x-3)^2=6$

step-4:

Take sqrt both sides

$(x-3)=-\sqrt{6},(x-3)=\sqrt{6}$

step-5:

Add both sides by 3

we get

$x=3-\sqrt{6},x=3+\sqrt{6}$

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2 years ago