MATHEMATICS
HIGH SCHOOL

Answer: For this case, the first thing to do is substitute the value of x = 2 in each of the compound inequations and verify that the inequations are met.

We have then:

For 4

We have then:

For 4

Answer:

Answer:

4 < 5x – 1 < 10

4 < 5x – 3 < 10

4 < 2x + 1 < 10

4 < 2x + 3 < 10

COLLEGE

If two non collinear segments in the coordinate plane have slope 3 what can you conclude

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

MIDDLE SCHOOL

Toms house cost $100000 in the year 2000 in 2008 he sold his house for 125000 what was the percentage of change in the price of the house.

There was a 125% change in the price of the house.

The changed price was an increase of from the original 100,000 therefore the answer can be concluded to be above 100%.

Anyways, to solve this problem you need to find what 125,000 is OF 100,000, meaning you need to divide. 125,000/100,000=1.25. 1.25 can then be changed into 125%.

The changed price was an increase of from the original 100,000 therefore the answer can be concluded to be above 100%.

Anyways, to solve this problem you need to find what 125,000 is OF 100,000, meaning you need to divide. 125,000/100,000=1.25. 1.25 can then be changed into 125%.

Answer:

300

tht the right answer i think plz help me i

Step-by-step explanation:

MIDDLE SCHOOL

Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.

The sum of n terms for the arithmetic series is:

The value of n for which the series has sum 165 is 11

The given series is:

5 + 7 + 9 +.......

The first value, a = 5

The common difference, d = 7 - 5

d = 2

The sum of the first n terms of an arithmetic series is given by the formula:

Substituting a = 5, and d = 2 into the sum of the series, we have:

To determine the value of n for which the series has sum 165, substitute into the sum above

The value of n for which the series has sum 165 is 11

Learn more on Arithmetic Progression here: brainly.com/question/24205483

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

= [2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

= [(2 × 5) + 2(n - 1) ]

= (10 + 2n - 2)

= (2n + 8)

= n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11

HIGH SCHOOL

Which of the following has a value of 8^4?

A. 4,096

B. 32

C. 83

D. 512

8^4 = 8 * 8 * 8 *84, 096soA

Answer:

4,096

Step-by-step explanation:

8^4 =

8x8x8x8

which equals 4,096