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2 years ago

Find the next three terms in each sequence. Then write an equation for the nth term of the

Mathematics

1 answer:

Ne4ueva [31]2 years ago

3 0

Step-by-step explanation:

a) clearly, the sequence is created by subtracting 12 from one term to the next.

so, d = -12

a (= a1) = -5 (the first term is the start value)

the next 3 terms are then

-41, -53, -65

a28 = -5 + 27×-12 = -329

b) the sequence is created by adding 6 from term to term.

so, d = 6

a (= a1) = 8

the next 3 terms are

26, 32, 38

a77 = 8 + 76×6 = 464

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Which of the following is the equation of the line that passes through the point begin ordered pair, negative 6, 1, end ordered

nydimaria [60]

Answer:

Step-by-step explanation:

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2 years ago

2x³-8=0<br> How do I solve this problem ?

wlad13 [49]

Answer:

$x=2^{\frac{2}{3}}$

Step-by-step explanation:

1) Add 8 to both sides.

<em /> $2x^3=8$

2) Divide both sides by 2.

$x^3=\frac{8}{2}$

3) Simplify $\frac{8}{2}$ to 4.

$x^3=4$

4) Take the cube root of both sides.

$x=\sqrt[3]{4}$

5) Rewrite 4 as 2².

$x=\sqrt[3]{2^2}$

6) Use this rule: ${({x}^{a})}^{b}={x}^{ab}$ .

$x=2^{\frac{2}{3}}$

Decimal Form: 1.587401

__________________________________________

Check the answer:

$2x^3-8=0$

1) Let $x=2^\frac{2}{3}$ .

$2(2^{\frac{2}{3} })-8=0$

2) Use this rule: $(x^a)^b=x^{ab}$ .

$2\times2^{\frac{2\times3}{3} } -8=0$

3) Simplify 2 * 3 to 6.

$2\times2^{\frac{6}{3} } - 8 =0$

4) Simplify 6/3 to 2.

$2\times2^2-8=0$

5) Use Product Rule: $x^ax^b=x^{a+b}$ .

$2^3-8=0$

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0

1 year ago

Two numbers total 66 and have a difference of 16

max2010maxim [7]

$x,y-\ two\ numbers\\\\
 \left \{ {{x+y=66} \atop {x-y=16}} \right. \\+-----\\Addition\ method\\\\2x=82\ \ \ |divide\ by\ 2\\\\
x=41\\y=66-x\\y=66-41=25\\\\Numbers\ are:\ 41\ and\ 25.$

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3 years ago

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $28. Opti

irina [24]

Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, 8x/100= 760

Or, 8x= 76000

Or, x= 76000/8= 9,500

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

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2 years ago

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100 is smaller than 110 by how many percent?

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Compare 100 to 110, and see that to go from 100 to 110 is a 10% increase, but to go from 110 back down to 100 is a 9.09% decrease not a 10% decrease

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