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4 years ago

Please help me on this question

Mathematics

1 answer:

hoa [83]4 years ago

3 0

8+2m^3 is your answer. Hope it help!

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(h(1) = 96 (h(n) = h(n − 1) - 1 Find an explicit formula for h(n).

Lubov Fominskaja [6]

Answer:

$a_n=97-n$

Step-by-step explanation:

Given:

$h(1)=96\\ \\h(n)=h(n-1)-1$

Find first terms:

$h(1)=96\\ \\h(2)=h(2-1)-1=h(1)-1=96-1=95\\ \\h(3)=h(3-1)-1=h(2)-1=95-1=94\\ \\h(4)=h(4-1)-1=h(3)-1=94-1=93\\ \\....$

In this arithmatic sequence, each next term is 1 less than the previous term.

The general explicit formula is

$a_n=a_1+(n-1)d$

In your case,

$a_1=96\ \text{ First term}\\ \\d=-1\ \text{ Common difference}$

Then

$a_n=96+(n-1)\cdot (-1)\\ \\a_n=96-(n-1)\\ \\a_n=96-n+1\\ \\a_n=97-n$

5 0

3 years ago

4T + 2(2T - 4) = 7T + 3(9 + 2) + 1T

Kruka [31]

0=41
(need 20 characters dont mind this)

5 0

3 years ago

In parallelogram MNPT, IZM= (6x + 10)° and mZN= (5x + 10.5)° . How many degrees is ZT?

adelina 88 [10]

Answer:

the measure of the angle t is the 118.5

8 0

3 years ago

Read 2 more answers

Roes bushes cost $5 and tomato plant cost $2. Write an expression that represent the show the total cost for any number of rose

Anna [14]

Expression that represent the show the total cost for any number of rose bushes and tomato plant is:

$Total\ cost = 5x + 2y$

Solution:

Let "x" be the number of roses bush

Let "y" be the number of tomato plant

Cost of 1 rose bush = $ 5

Cost of 1 tomato plant = $ 2

To find: Expression that represent the show the total cost for any number of rose bushes and tomato plant

Total cost = number of roses bush x Cost of 1 rose bush + number of tomato plant x Cost of 1 tomato plant

$Total\ cost = x \times 5 + y \times 2\\\\Total\ cost = 5x + 2y$

Thus the expression is found where, x and y are the number of rose bush and tomoato plant bought respectively

7 0

4 years ago

What is "the sum of twice a number and six is the same as three subtracted from the number itself"?

inysia [295]

Answer:

x=-1

Step-by-step explanation:

2x+6=3-x

Step 1: Simplify both sides of the equation.

2x+6=3−x

2x+6=3+(−x)

2x+6=−x+3

Step 2: Add x to both sides.

2x+6+x=−x+3+x

3x+6=3

Step 3: Subtract 6 from both sides.

3x+6−6=3−6

3x=−3

Step 4: Divide both sides by 3.

3x/3=−3/3

x=−1

Answer:

x=−1

4 0

3 years ago