if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
What is wrong with the graph?When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ1
On a hot summer day, Lisa and her friends decided to have a water fight. They threw water balloons for 52 minutes. When all the water balloons were gone, they sprayed water with hoses for 29 minutes. The water fight ended at 2:48 P.M. when Lisa's dad showed up with ice cream. What time did the water fight start?
Answer:
1:27pm
Step-by-step explanation:
52 + 8 = 1 hour
29 - 8 = 21
1 hour and 21 minutes
2:48 - 1:21
1:27pm
please help !!!! ASAP Thank you in advance :) !
One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.
Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
Please answer the question in the picture above.
The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.
Answer:
The smaller number is 27 and the larger number is 44
Step-by-step explanation:
Let x = the larger number
Let y = the smaller number
x + y = 71
x = y + 17 Substitute in y + 17 for x in the first equation.
x + y = 71
y +17 + y = 71 Combine the y's.
2y + 17 = 71 Subtract 17 from both sides of the equation
2y = 54 Divide both sides of the equation by 2
y = 27. Plug 27 in for y for either of the two original equation to find x
x + y = 71
x + 27 = 71 Subtract 27 from both sides of the equation
x = 44
15.
if the measure of angle 2 is 8x + 10 and the
measure of angle 6 is x^2-38, what is the measure
of angle 8
a. 42
b. 74
c. 84
d. 106
e. 138
The measure of the angle 8 is option (d). 106.
Measure of Angle
Angle measurement is the amount of rotation from the initial to an endpoint of a ray.
Given,
Measure of Angle 2 = 8x + 10
Measure of angle 6 = x² - 38
Here we need to find the measure of angle 8.
Let us consider the angle 2 and 6 are corresponding angles.
Then,
Measure of Angle 2 = Measure of Angle 6
Apply the corresponding values,
Then we get,
8x + 10 = x² - 38
It can be written as,
=> x² - 38 - 8x - 10 = 0
=> x² - 8x - 48 = 0
When we factorize the equation,
Then we get,
=> (x + 4) ( x - 12) = 0
Then the value of x will be x = -4 and 12.
Here the value of x can't be negative.
So,
=> x = 12
Now apply the value of x on the measure of angle 2,
=> 8(12) + 10
=> 96 + 10
=> 106
So, the measure of angle 8 is option (d). 106.
To know more about Measure of Angle here.
https://brainly.com/question/14684647
#SPJ4
Anyone can help me thanks
Answer:
When expenses are greater than revenue (first choice)
Step-by-step explanation:
Answer:
When expenses are greater than our revenue
=. What does the expression (x+3)(9) represent? Why?
Find the area of the shaded region. All angles are right angles.
5m
30 m
20m
5m
Help!!! Please help urgently!
Answer:
x = 18
Step-by-step explanation:
25 + 20 = 45
Proportions:
45 ⇒ 50
20 ⇒ x
x = 45*20/50
x = 18
a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
Height of the base = 10cm
The definition of triangular volume?
The formula Area = Half of Base by Altitude is used to determine the area of a triangle. A = 0.5 X b X a . The formula for determining a triangular prism's volume is V = 0.5 X b X an X h.Given a candy box is in the shape of triangular prism
Volume of the box = 1200 cm³
Base of the triangle = 10cm
Side of the triangle = 13cm
Length of the box = 20 cm
Let the height of the base = h cm
Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)
1200 = (1/2)×10×h×20
1200 = 100h
h = 1200/100
h = 12 cm
So, height of the triangle = 10cm
Learn more about Volume of the triangular prism
brainly.com/question/17004095
#SPJ4
A white tailed deer can sprint up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The American bison is 10 miles per hour faster. It can run at 40 miles per hour.
Step-by-step explanation:
See the picture for the conversion. I used unit multiplies to change feet to miles and seconds to minutes.
letter j, i need help i don’t really understand it doesn’t explain good enough
Answer:
3/5 < 3/4 (The symbol you need is <.)
Step-by-step explanation:
The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.
Comparing valuesIn general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).
You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.
FractionsAs you know, the denominator of a fraction tells you how many pieces the pie has been divided into.
In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.
In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.
A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...
1/5 < 1/4
When there are 3 pieces of each, this relation still holds:
3×(1/5) < 3×(1/4) ⇒ 3/5 < 3/4
__
Additional comment
Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.
If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.
Here, the denominators can be made to be 20 in each case.
[tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]
The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
Learn more about the mean visit:
https://brainly.com/question/1136789
#SPJ4
A.)6.5 ft²
B.)13 ft2
C.)78 ft²
D.)156 ft2
The given triangle is 6.5 ft2.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The given triangle can be redraw as
Area of the rectangle is (39/2) × 48 (in)2 = 936 in2
1 ft = 12in
1/12 ft = 1in
(in)2 = (1/12)2 (ft)2
= 1/144 (ft)2
936 (in)2 = 936 × 1/144 (ft)2
=6.5 (ft)2
Hence, the given triangle is 6.5 ft2.
To learn more about similar triangles visit:
brainly.com/question/11515181
#SPJ9
Depreciation for the current year includes equipment $3100. The accumulated depreciation equipment unadjusted balance of December 31 is $6700
The value is 3600
According to question ,
given that, Depreciation for the current year is $ 3100
accumulated depreciation equipment is $ 6700
Unadjusted balance of December
6700 - 3100 = 3600
Depreciation is the process of deducting the total cost of something expensive you bought for your business. But instead of doing it all in one tax year, you write off parts of it over time. When you depreciate assets, you can plan how much money is written off each year, giving you more control over your finances.
Formula: (asset cost – salvage value) / useful life
explain the formula: You divide the cost of an asset, minus its salvage value, over its useful life. That determines how much depreciation you deduct each year.
Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance
Learn more about depreciation here: brainly.in/question/20869135
SPJ9
Fill in the blank if sin=3/5, then cos=
Answer:
cos = 4/5
Step-by-step explanation:
having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5
cos = adjacent side/ hypotenuse
sin= opposite side/ hypotenuse
since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.
hope this helps! if you have any more questions just ask
100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..
Answer: 1) m=12/7 2) y=(12/7)x
Step-by-step explanation:
C(0,0) D(7,12)
[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]
[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]
Identify the coefficients and constants in the following
expressions: 3 + 7x
Answer:
Answer
Step-by-step explanation:
3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.
A hockey team has 6 forwards, 4 defensemen, and 2 goalies. at any time, 3 forwards, 2 defensemen, and 1 goalie can be on the ice. how many combinations of players can a coach put on the ice?
A coach may use 240 different player combinations on the rink.
What are some permutation and combination examples?
The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.
Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.
Forward 6C3 = 20
Defence 4C2 = 6
Golie 2C1 = 2
No. of possible Combination = 20 * 6 * 2 = 240
Learn more about permutation and combination
brainly.com/question/16837159
#SPJ4
The following rectangle has a length of 6 centimeters and an unknown width. If the
perimeter is 21 centimeters, what is the width of the rectangle? Set up an equation, and solve.
Answer:
The width is 4.5 cm
Step-by-step explanation:
w + w+ 6 + 6 = 21 Combine like terms
2w + 12 = 21 Subtract 12 from both sides
2w = 9 Divide both sides by 2
w = 4.5
1. Which of the following shows the statement 4 less than 12?
a. 4 - 12
b. 12 + 4
c. 12 - 4
d. 4 + 12
Answer:
C is correct
Step-by-step explanation: please let me know if it was rong
Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
Learn more about the mathematical expression visit:
https://brainly.com/question/28374179
#SPJ4
What is the reciprocal of 5/29
Answer:
[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.
Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.
Does the mapping diagram represent a function? Why or why not? X -6 2- 3 y 10 5 4 A. No; the input value x = 3 pairs with two different output values. B. No; two output values pair with two different input values. C. No; each input pairs with only one output. D. Yes; each input pairs with only one output.
Answer:
A. No; the input value x=3 pairs with two different output values.
Step-by-step explanation:
For this to be a function, each of the x values should have only one output value.
Hope this helps!
Please mark as brainliest if correct!
The ratio of girls to boys in a a gardening club was 6:2 there were 16 boy how many are girls
Answer:
I don't know
Step-by-step explanation:
tdhdujdjbd
j^² - 5k for j = -4 and k = -1
Answer:
21
Step-by-step explanation:
Hello!
Substitute the values of j and k and evaluate.
Evaluate[tex]j^2 - 5k[/tex][tex](-4)^2 - 5(-1)[/tex][tex]16 + 5[/tex][tex]21\\[/tex]The evaluated value is 21.
A researcher measures eye color for a sample of n = 50 people. which measure of central tendency would be appropriate to summarize the measurements?
According to the statement:
Mode measure of central tendency would be appropriate to summarize the measurements.
The correct option is B.
Briefing:We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.
When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.
What is mean ,Midian and mode?Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.
To know more about mode visit:
https://brainly.com/question/17727138
#SPJ4
I understand that the question you are looking for is:
A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?
Select one:
a. weighted mean
b. mode
c. median
d. mean
What is 210 divided by 5
Answer:42
Step-by-step explanation:
PLEASE HELP !! 30 POINTS
Answer:
A = 11
B = 8
Step-by-step explanation:
The function is 2[tex]2x^2 + x + 5[/tex]
To determine y=A and y=B simply substitute the value of x corresponding to that y-value
A is at x = -2
At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]
[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]
So [tex]\boxed{A = 11}[/tex]
For B, note that x = 1
So y-value for x = 1 is
[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]
[tex]=2+1+5[/tex]
[tex]=8[/tex]
So [tex]\boxed{B=8}[/tex]