1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ierofanga [76]
2 years ago
8

PLZ HELP WILL GIVE BRAINLIEST 50+25 POINTS!!!Graph the following piecewise function.

Mathematics
2 answers:
Luda [366]2 years ago
5 0

We need to graph the given piecewise function.

To graph any piecewise function we do that into parts

Let's graph upper part first which is

f(x)=x^2+2

restriction for that is -5 \leq x < 3

that means we are free to pick any number for x that is between -5 and 3, including 3.

So we will find few points by plugging random numbers between -5 and 3.

Let's use x=-5, we get:

f(-5)=(-5)^2+2=25+2=27

so first point is (-5,27).

similarly we can find other points like (0,2), (2,6), (-1,3) etc.

Now we join those points by a curved line.

-5 \leq x means we use a close circle at -5

x<3 means use open circle at 3


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

Repeat same process for 2nd part f(x)=x-4

choose any number between 3 and 7 like x=3, 4 etc

so we get points (3,-1), (4,0) etc

Now graph them

So the final graph will look like:


Black_prince [1.1K]2 years ago
4 0

Answer:

see plot below

Step-by-step explanation:


You might be interested in
Express the following ratios as fractions in their lowest term
ANTONII [103]

Answer:

1/4 is A and 1/20 is B

Step-by-step explanation:

Not much of an explanation needed

7 0
2 years ago
How do I find the midpoint
Hunter-Best [27]

To find the midpoint of a line use the midpoint formula which is M = (x1+x2/2 , y1 +y2/2) After plugging in the coordinates for your variables you should get (-1+5/2, -1+2/2) This simplifies to (2, 1/2) which is the coordinates for the middle point of the base XY.

5 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car
Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0
3 years ago
The formula to find the volume of a sphere is V=3.14r^3 where r is the
aniked [119]

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

4 0
3 years ago
Other questions:
  • Item 5
    7·1 answer
  • Of the students in your class 25% walk to school.what fraction of the students walk to school?
    13·1 answer
  • The equation of line LM is y= 5x+4. Write an equation of a line perpendicular to LEM in slope intercept form that contains point
    13·1 answer
  • What is the center of the circle having the equation (x – 7)2 + (y + 2)2 = 121? What is the radius?
    5·2 answers
  • I NEED HELP FAST
    8·2 answers
  • 1. Use f(x)and g(x) to find f(x) * g(x).<br> f(x) = -x + 5 and g(x) = 3x + 2
    14·1 answer
  • Apa pemfaktoran dari x2-6x-16=0
    6·1 answer
  • Please look at the image
    14·1 answer
  • Need help with test asap
    6·2 answers
  • Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categor
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!