the topic is piecewise functions, can someone help? i’m a little confused :)
Answers
Given:
The piecewise function is:
[tex]f(x)=\begin{cases}x+5&x<-2\\x^2+2x+3&x\geq -2\end{cases}[/tex]
To find:
The values of [tex]f(-4),f(-2),f(0),f(3)[/tex].
Solution:
For [tex]x<-2[/tex], the function is
[tex]f(x)=x+5[/tex]
For [tex]x\geq -2[/tex], the function is
[tex]f(x)=x^2+2x+3[/tex]
a) The value of [tex]f(-4)[/tex] is:
[tex]f(-4)=-4+5[/tex]
[tex]f(-4)=1[/tex]
b) The value of [tex]f(-2)[/tex] is:
[tex]f(-2)=(-2)^2+2(-2)+3[/tex]
[tex]f(-2)=4-4+3[/tex]
[tex]f(-2)=3[/tex]
c) The value of [tex]f(0)[/tex] is:
[tex]f(0)=(0)^2+2(0)+3[/tex]
[tex]f(0)=0-0+3[/tex]
[tex]f(0)=3[/tex]
d) The value of [tex]f(3)[/tex] is:
[tex]f(3)=(3)^2+2(3)+3[/tex]
[tex]f(3)=9+6+3[/tex]
[tex]f(3)=18[/tex]
Therefore, the required values are [tex]f(-4)=1,f(-2)=3,f(0)=3,f(3)=18[/tex].
Related Questions
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answers
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
PLEASE HELP MEEE!!!!!
Answers
What is the solution to 4|0.5x – 2.5| = 0?
x = 1.25
x = 5
x = –1.25 or x = 1.25
x = –5 or x = 5
Answers
Answer:
B. X=5Step-by-step explanation:
To solve this problem, first, you have to isolate the value of x from one side of the equation.
[tex]\sf{4|0.5x-2.5|=0}[/tex]
First, divide by 4 from both sides of an equation.
[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]
Solve.
|0.5x-2.5|=0
0.5x-2.5=0
x=5
Therefore the correct answer is x=5.
Answer:x=5 nice day
Step-by-step explanation:I now did this
what is 3 13/20 as a decimal
Answers
Answer:
3.65
Step-by-step explanation:
complete the tables of values
Answers
Answer:
a=0
b=-8
c=-16
d=0
e=-3
f=-6
Step-by-step explanation:
2\0.1 x 10\10 = it would help me a lot
Answers
Answer:
The answer is1 thank you
In October sally drove 560 miles in her car.
the car travelled 34.5 miles for each gallon of petrol used
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
Answers
The cost of petrol the car used in October is;
Amount spent on fuel in October = £79.76
Distance sally drove in October = 560 miles
She used 1 gallon of petrol for every 34.5 miles she drove.
Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons
Now, we are told that;
1 gallon = 4.55 litres
Thus; 560/34.5 gallons = (560/34.5) × 4.55/1
Quantity of petrol she used for the month in liters = 73.855 litres
Petrol costs £1.08 per liter.
Thus;
Amount spent on fuel in October = 1.08 × 73.855
Amount spent on fuel in October = £79.7634 ≈ £79.76
Read more at; https://brainly.com/question/22940138
Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?
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60/5=12
12*3=36
60/6=10
10*5=50
50-36=14
How to find area when perimeter is given?
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Put formula of perimeter and simplify to get value of any variable ,
Then replace the value of that variable in formula of area and then simplify it .
Find the perimeter of the figure.
Answers
Answer:
97
Step-by-step explanation:
The perimeter is adding each side together, the equation is 3+33+15+33+3+10
PLZ HELP
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
x 1 2 3 4
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = −9
Geometric, common ratio = 9
Geometric, common ratio = −9
Answers
Answer:
The second item is the correct one , i mean arithmetic , common difference = -9 .
Step-by-step explanation:
Hope this helps u , good luck ;)
Answer:
The correct option among the others is B
Step-by-step explanation:
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.
Answers
she will need two more hours to buy the dress
How to find the area of each trapezoid step by estep
Answers
With that being said you just plug the numbers into the formula. I recommend using a calculator.
1. A = 1.5 + 3.3 / 2 x 2.9 = 6.96in^2
2. A = 0.6 + 2 / 2 x 2 = 2.6in^2
3. A = 1.4 + 4 / 2 x 3 = 8.1in^2
4. A = 1.6 + 4 / 2 x 2 = 5.6m^2
Hope this helped!
You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.
Answers
Answer:
The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Step-by-step explanation:
Let the angle be equal to x°. We know that
[tex](180 - x) = 3(90- x)[/tex]
Therefore, solving for x, we have
[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]
So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Guys help me on this which is the correct answer:((
Answers
Answer:
A
Step-by-step explanation:
find x.
1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))
remember to flip inequality sign when dividing by a negative
ILL BRAINLIEST IF YOU GET IT RIGHT
PLEASE HELP ME FIND THE VALUE OF X
Answers
Answer:
x=60°
Step-by-step explanation:
x=x(vertically opposite angles)
Now,
x+120°=180°
x=180°-120°
x=60°
Giving brainlist to whoever answers
Answers
Answer:
10 I believe I really hope it helped!
Step-by-step explanation:
Answer:
That's easy! 10 times
Step-by-step explanation:
60 divided by 6 is 10
Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?
Answers
Answer:
it's 8ft
Step-by-step explanation:
1=4 2=8just put 2and2 together
HELP ME IN NUMBER 1 AND 2
Answers
Answer:
Number is is A Number 2 is 77 trust ik math
Suppose you have $20 in your bank account. You start saving five dollars each week. Your phone has $170 and removes $10 each week. When will you and your friend have the same amount in your account?
Answers
Please answer correctly! I will mark Brainliest!
Answers
Answer:
Mind Making A New So We Can Help?
Step-by-step explanation:
ASAP PLASE GIVING BRAINLEST
Answers
Answer:
answer C
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant.
A diameter is also a chord.
Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Answers
Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?
Answers
Answer:
Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.
Step-by-step explanation:
Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet
= [tex]\frac{23}{8}[/tex] square feet
Area of rectangle is given by,
Area = Length × Width
Length of the banner = [tex]\frac{3}{4}[/tex] feet
From the formula,
[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]
W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]
= [tex]\frac{23}{8}\times \frac{4}{3}[/tex]
= [tex]\frac{23}{6}[/tex]
= [tex]3\frac{5}{6}[/tex] ft
Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft
Answer ASAP PLS -
Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100°. Write and solve an equation to find x, the measures of angle TQV.
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good luck :’)
The value of an irrigational number expression is estimated to be between 18 and 19. Which could be the expression
Answers
Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18
Answers
Answer:
Probably mean.
Step-by-step explanation:
The median is the middle number (in this case, 19) and the mean is the average of all the numbers
Write each polynomial in standard form.
-2.x2 + x4 +3
Answers
Answer:
x^4 - 2x^2 + 3
Step-by-step explanation:
Rearrange the terms so that they are in descending order by powerss of x;
Highest power is 4: x^4, followed by x^2 and then the constant, x:
-2x^2 + x^ 4+ 3 = x^4 - 2x^2 + 3 (answer)
Please only answer this if ur not just guessing.
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answers
Answer:
132
Step-by-step explanation:
the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))
What is the volume of this solid figure made with cubes
Answers
Answer:
15
Step-by-step explanation:
three times five = fifteen and height is 1
Answer:
15
Step-by-step explanation:
multiply the length x width x height