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ExtremeBDS [4]
2 years ago
8

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

Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

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.

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KATRIN_1 [288]

Answer:

Option A, x ≥ -2

Step-by-step explanation:

<u>Since the line is not dotted, that means that -2 is included.  Also, since the darkened part is toward positive infinity, that means that it is ≥.</u>

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So, it is <em>x ≥ -2</em>

Answer:  Option A, x ≥ -2

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3 years ago
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
oksano4ka [1.4K]

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

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2 years ago
Which numbers will round to 19 when they are rounded to the nearest whole number?
Nonamiya [84]

Answer:

18.82 , 19.33 , 19.46

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What is the range of this piecewise function
White raven [17]

Answer as a compound inequality: -4 \le y < 2

Answer in interval notation:  [-4, 2)

=============================================

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have y \ge -4 which is the same as -4 \le y

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that y < 2

Combine -4 \le y and y < 2 to get the compound inequality -4 \le y < 2

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

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2 years ago
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