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3 years ago

Examine the following graph of a line.

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

Answer:

y=-5/2-2

Step-by-step explanation:

y-intercept is -2,slope is -

y=-mx-2 (the first or second one)

then slope =(y1-y2)/(x1-x2)

slope=(3-(-2))/((-2)-0)

slope=-5/2

y=-5/2-2

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Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar

Gekata [30.6K]

Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be: $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

4 0

2 years ago

Read 2 more answers

Does 32.60 round up or round down

adelina 88 [10]

That all depends what place you want it rounded to.

Rounding to the nearest tenth, it becomes 32.6 .
Rounding to the nearest whole number, it becomes, 33 .
Rounding to the nearest ten or higher order of magnitude, it becomes zero.

3 0

3 years ago

What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the righ

Alenkasestr [34]

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line. -2 is the smallest possible value. All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1. The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2. It will use a closed circle (because x = -2 is part of the solution set).

6 0

2 years ago

What is the area of the shape below? square inches

ratelena [41]

Answer:

0 in²

Step-by-step explanation:

Maybe it would help to show some lines or something shape-like.

3 0

2 years ago

Read 2 more answers

Find all solutions of each equation on the interval 0 ≤ x < 2π.

Korvikt [17]

Answer:

$x = 0$ or $x = \pi$ .

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

$\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2$ .

To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .