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Feliz [49]
2 years ago
14

Which of the following is correct

Mathematics
1 answer:
nikdorinn [45]2 years ago
4 0

Answer:

the firs one -2,-2

Step-by-step explanation:

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If point Cis between points A and B, then AC + CB = <br>A. BC<br>B. ABC <br>C. AB <br>D. CA​
omeli [17]

Answer:

C  AB

Step-by-step explanation:

3 0
2 years ago
1. Write the equation of the piece-wise function graphed below​.
DaniilM [7]

Problem 4

<h3>Answer:</h3>

f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

------------------

Work Shown:

The left line goes through (-2,0) and (0,4)

The slope of this line is

m = (y2-y1)/(x2-x1)

m = (4-0)/(0-(-2))

m = (4-0)/(0+2)

m = 4/2

m = 2

The y intercept is b = 4

Since m = 2 and b = 4, this means y = mx+b turns into y = 2x+4. This portion is only done when x < 1. Note the open circle at the endpoint of this portion. So we do not include x = 1 as part of this piece.

---

The line on the right side goes through (1,-2) and (2,-1)

Slope

m = (y2-y1)/(x2-x1)

m = (-1-(-2))/(2-1)

m = (-1+2)/(2-1)

m = 1/1

m = 1

The y intercept is b = -3. You can see this if you extend the line until it crosses the y axis.

Alternatively, plug in (x,y) = (1,-2) and m = 1 into y = mx+b to find that b = -3

So y = mx+b turns into y = 1x+(-3) or just y = x-3

We combine both parts to end up with f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

This is only graphed when x \ge 1 (note the closed or filled in circle for the endpoint of this portion).

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

Problem 5

Answer:

<h3>f(x) = \frac{1}{2}|x+3| is the absolute value function</h3><h3>while this is the piecewise function</h3>

f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\

------------------

Work Shown:

y = |x| .... parent function

y = |x+3| ... shift 3 units to the left

y = (1/2)*|x+3| .... vertically compress by factor of 1/2

f(x) = (1/2)*|x+3|

------

Break that down into a piecewise function

when x < -3, then y = -(1/2)(x+3)

when x \ge -3, then y = (1/2)(x+3)

I'm using the rule that y = |x| turns into y = -x when x < 0 and y = x when x \ge 0

So that is how we get f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\as the piecewise function.

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3 years ago
Read 2 more answers
How to find slope within two sets of points
EastWind [94]

The slope within two sets of points is calculated using the slope equation m = \frac{y_2 -y_1}{x_2 -x_1}

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

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

Hence, the equation of two sets of points is m = \frac{y_2 -y_1}{x_2 -x_1}

Read more about slopes at:

brainly.com/question/1884491

#SPJ1

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Jack deposited $1,400 in his bank account. After 3 years, the account is worth $1,694. Find the simple interest rate the account
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Answer:

D. 7%

Step-by-step explanation:

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Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the numb
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P=3b

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