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3 years ago

What would be the solution to 12x + 45 ≥ 117

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

x≥6

Step-by-step explanation:

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(h(1) = 96<br> (h(n) = h(n − 1) - 1<br> 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

How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the cha

guajiro [1.7K]

Taking the change in y over the change in x. Then the correct option is A.

<h3>What is the equation of a line passing through two points?</h3>

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

$\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)$

The equation of the line can be determined by the two known points.

Taking the change in y over the change in x.

Then the correct option is A.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

5 0

2 years ago

A rectangular prism has a volume of 104 cubic inches. The prism has a height of 2 inches and a width of 4 inches.

nydimaria [60]

Answer:

13 inches

Step-by-step explanation:

the volume of a prism is (L)(w)(h)

height=2

width=4

length=?

2(4)(x)=104

8x=104

x=13 inches.

7 0

3 years ago

Read 2 more answers

NEED HELP ASAP DUE TOMMOROW MASTERY GRADE

myrzilka [38]

Answer:

i hope you get the answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The following is a frequency data set for tests scores in a small class. Construct a cumulative frequency plot displaying the da

egoroff_w [7]

The value of cumulative frequency is the sum of all previous frequencies. We should have 26 at the end of the table because all frequency add up to 26
To graph the cumulative frequency, we would need the plots.
Use the end of value range against the cumulative frequency valueRange 40-49, use the value 49 against the cumulative frequency 1
(49, 1)(59, 3)(69, 5)(79, 12)(89, 21)(99, 26)
Plot these on graph and connect them as a curve.

8 0

3 years ago