If you double a number and then add 32, the result is 80. what is the number?

a line with the slope of -5 passes through the points (-3, -5) and (-4, teat parentheses. What is the value of t

Setler79 [48]

Step-by-step explanation:

First, find the slope using the slope formula

m = (Y2 - Y1)/(X2 - X1).

Then use the point slope formula,

Y - Y1 = m(X - X1), with one of the given

points and the slope. Also, solve for y.

Use Y - Y1 = m(X - X1)

Also, solve for y.

Find the slope of the given line, m, by rewriting the given equation in y = mx + b. Flip and change the sign on the given slope to find the new slope.

Use Y - Y1 = m(X - X1)

Plug in the given point and new slope

and solve for y.

Plot points or graph line. Move a vertical line across the graph. If the line touches more than once then it is not a function.

Domain = { x-values, ... }

Range = { y-values, ... }

List the elements in increasing order and don't repeat.

For this class, the domain is all real numbers unless you have an x in the denominator of a fraction.

When x is in the denominator, set the denominator equal to zero and solve. Everything on a number line works except the value(s) you got when solving.

Answer: (- infinity, #) u (#, infinity)

Parentheses everywhere b/c the number # does not work in the equation.

Domain: Squish the graph to the x-axis. Write shaded part in interval notation (left, right)

Range: Squish the graph to the y-axis. Write shaded part in interval notation (down, up)

Brackets include points, parentheses don't. Infinities always get parentheses.

Write both equations in the style y = mx + b.

Look at the slopes, m, to answer the question.

If the slopes are the same, then they are parallel.

If the slopes are negative reciprocals, then they are perpendicular. Otherwise, neither.

If you have an equal to under the inequality, then you have a solid boundary line. If you don't have an equal to under the inequality, then you have a dotted boundary line.

After you have graphed the boundary line and determined if it is solid or dotted, find a test point on either side of the boundary line. Substitute the ordered pair into the original inequality. If it simplifies down to a true statement, shade the region where that point is. If it is false, shade the region that does not contain that point.

7 0

2 years ago

The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool

Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0

3 years ago

Does anyone know this lol

koban [17]

Answer:

62.5

Step-by-step explanation:

P = (6.50f) - 100

All you have to do is plug in 25 for f in the equation and solve for P.

P = (6.50*25) - 100

P = 162.5 - 100

P = 62.5

4 0

2 years ago

A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to

timofeeve [1]

Answer:

$\frac{37}{389}$

Step-by-step explanation:

Given that a medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

Group I Group II Total

n 187 202 389

favour x 11 26 37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

=Total x/total n

= $\frac{37}{389}$

4 0

3 years ago

I need help on it pls

Jobisdone [24]

Answer:

300 necklaces

Step-by-step explanation:

8,400 divided by 28 equals 300

4 0

3 years ago