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2 years ago

Evaluate the piecewise function at the given values of the independent variable

Mathematics

1 answer:

snow_lady [41]2 years ago

3 0

A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:

2(-1) + 3 = 1

b) For f(0), we use the part for when x $\geq$ 0.

4(0) + 5 = 5

c) For f(2) we use the part for when x $\geq$ 0.

4(2) + 5 = 13

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D =m/v

yKpoI14uk [10]

Answer:

m=D x V

or M=DV

Step-by-step explanation:

first step is to cross multiply so that M can stand alone

6 0

3 years ago

If an event has a 55% chance of happening in one trial, how do I determine the chances of it happening more than once in 4 trial

aev [14]

The chances of it happening more than once in 4 trials is 13%

<h3>How to determine the number</h3>

From the information given, we have can deduce that;

Probability of 1 trial = 55%

= 55/ 100

Find the ratio

= 0. 55

We are to find the probability of it happening more than once in 4 different trials

If the probability of it happening in one trial is 555 which equals 0. 55

Then the probability of it happening in 1 in 4 trials is given as;

P(1/4 trials) = 1/ 4 × 55%

P(1/4 trials) = 1/ 4 × 0. 55

Put in decimal form

P(1/4 trials) = 0. 25 × 0. 55

P(1/4 trials) = 0. 138

But we have to know the percentage

= 0. 138 × 100

Multiply the values, we have

= 13. 8 %

Thus, the chances of it happening more than once in 4 trials is 13%

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

6 0

1 year ago

X - 2y < 2<br> graph the inequality

Korvikt [17]

Answer:

y > 1/2x - 1

First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).

Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.

Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

Explanation:

Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

Given a standard form equation in inequality form,

x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

When negating (making opposite) a variable, you flip the inequality.

x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → <u>y > 1/2x - 1</u><u>.</u>

3 0

2 years ago

The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

x = 27

Perimeter of triangle = 27 inches

7 0

2 years ago

Write a Point-Slope equation for a line containing the given point and having the given slope. (-5, -6), m = 2

ladessa [460]

Answer:

Y=2x+4

Step-by-step explanation:

The x has to be at 0 so you count down by 2's since its negative till its at 0 hope this helps!:)

6 0

2 years ago