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3 years ago

Solve the inequality 8(x + 1) > 7(x + 2).

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

8 0

Answer:

x > 6

Step-by-step explanation:

elixir [45]3 years ago

5 0

8X + 8 > 7x + 14

subtract 7x and 8 from both sides

x > 6

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Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not mixed number or decimal.

Vesna [10]

Answer:

<em>The slope is:</em>

$m=-\frac{3}{2}$

Step-by-step explanation:

The slope m of a line is calculated using the following formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Where the points $(x_1, y_1)$ and $(x_2, y_2)$ are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

$m=\frac{-1-2}{2-0}$

$m=\frac{-3}{2}$

4 0

3 years ago

What is the difference between Compound Interest and simple interest???

oksian1 [2.3K]

Answer:

Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .

Step-by-step explanation:

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .

Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.

Simple interest is calculated on the principal amount of a loan and it's easier to find out than compound interest.

4 0

3 years ago

Find the total area the regular pyramid.

Ber [7]

Answer: $14\sqrt{3}$

Step-by-step explanation:

1. You must apply the following formula for calculate the total surface area the regular pyramid:

$SA=\frac{pl}{2}+B$

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

$p=3s=3*4=12$

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

$l=\sqrt{4^2-2^2}=2\sqrt{3}$

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

$B=2*\frac{bh}{2}=2*\frac{2\sqrt{3}}{2}=2\sqrt{3}$