Answers
The domain and range of the piecewise function is;
B) Domain: x < 2 or x ≥ 3.; range: y > -3
What is the domain and range of the function?The piecewise function is given as;
f(x) = {-¹/₂x - 2, if x < 2
{2x - 4, if x ≥ 3
The domain of a function is the set of all possible input values of the function and as such in this case the domain is x < 2 or x ≥ 3.
The range is defined as the set of all possible output values of the function and in this case, we have;
For -¹/₂x - 2; If x < 2
At x = 2; -¹/₂(2) - 2 = -3
Range is; y > -3
Similarly, for 2x - 4, if x ≥ 3
At x = 3; 2(3) - 4 = 2
Range is; y ≥ 2
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Related Questions
Given f(x) = -(x - 5)^2 + 1, what is the value of a?
Answers
-1
Step By Step Explanation:
Vertex Form is y=a(x-h)^2+k
In place of the A is a negative sign, since the negative sign is alone there will always be an imaginary one right behind it.
So A would be -1.
Divide.
14)4210
O A. 300 r 10
O B. 300 r 7
O C. 300
O D. 310
no rush at all lolz.!
Answers
300 with a remainder of 10
3 0 0
1 4 | 4 2 1 0
4 2
1 0
Therefore, 4210 / 14 = 300 with a remainder of 10.
300 with a remainder of 10
PLSSS SHOW UR WORK AND HOW YOU GOT THE ANSWER FOR THIS also help me quickly pls!!
Delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of the biscuits for the dogs. how many cups of margarine will he need?
Answers
= 4/3 cups, or 1 1/3 cups
You multiply the numerator by the whole number, and keep the denominator the same.
what is the quotient of 0.6÷243
Answers
Answer:
the answer is 0.0024
Step-by-step explanation:
there are more digit's after 4 but hope this is enough
Please answer :)
( Will give brainlst)
Answers
Answer:
thank you for give me some time
Courtney sold 48 cantaloupes at the farmers' market and had 23 left. Which equation could be used to find x, the number of cantaloupes Courtney had originally?
Answers
Hi there!
48-x=23
23+x=48
those would be the equatipns to find x....
Answer:
uwu
Step-by-step explanation:
uwu
PLs HALP will give brainliest
Answers
Answer:
C. 1/3x - 9
Step-by-step explanation:
Ok so....
-3 + -6 is just -9 so instead of writing all that we can just write -9.
So what you should have now should look something like this
2/3x - 1/3x - 9 ( I just put it in a different order )
So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this
1/3x - 9
Which is the answer!!
TAADAA!!
Hope this helps. Have a good day!
If the area of the rectangle is 35 units squared, where could point “B” be placed?
Answers
Answer:
(2,0) or (2, -4)
Step-by-step explanation:
Hope that helps!
1) Rewrite the expression as the difference of two squares.
(X+y)(x-y)-6x+9
A) (x + 3)2 + y2
B) (x + 3)2 - y2
c)(x – 3)2 + y2
D) (x – 3)2 - y2
Answers
Answer:
c
Step-by-step explanation:
Is the answer
how much is 1000 subtract 4
Answers
Answer:
your answer is 996
1000 - 4 = 996
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)
Answers
Answer:
85.99% of airline passengers incur this fee.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean 46 pounds and standard deviation 3.7 pounds.
This means that [tex]\mu = 46, \sigma = 3.7[/tex]
Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 46}{3.7}[/tex]
[tex]Z = 1.08[/tex]
[tex]Z = 1.08[/tex] has a pvalue of 0.8599
0.8599*100% = 85.99%
85.99% of airline passengers incur this fee.
Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?
Answers
60 x 7= 420
420 miles drive on tuesday
have a good day:)
Answer: 420
Step-by-step explanation:
I took the test and got it right lol
If f(x) = (3+x)/ (x-3),what is f(a+ 2)?
Answers
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
A 15-passenger van is
rented for a family vacation.
The van rental is 460 per
day, plus a $145 insurance
fee. How many days can the
van be rented if they want to
spend no more than $625 on
the van rental. Write and
solve an inequality
Answers
Answer:
Inequality is 460x+ 145 [tex]\leq[/tex] 625 (I can't put the less than or equal to sign down sorry)
Step-by-step explanation:
find the area of a parallelogram with a height of "6x" and base of "9y" 30 POINTS!!!
Answers
Answer:
54xy
Step-by-step explanation:
Any 4 sided parallelogram's area is the base multiplied by its height. We know both of those, 6x and 9y
The area is, 54xy
do this and show work
Answers
Answer:
first: x=1.3024
second: x=12.29
third: x=22 degrees
Step-by-step explanation:
sin 19=x/4
0.3256=x/4
x=1.3024
sin 19=4/x
0.3256=4/x
x=4/0.3256
x=12.29
sin x=3/8
sinx=0.375
x=22 degrees
Which circle shows AB that measures 60 degrees
Answers
Answer:
The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.
Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answers
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
if 3/4 of a certain number is equal to 4 1/2, find the number
Answers
Answer:
6
Step-by-step explanation:
3/4x = 9/2
4/3 * 9/2 = 36/6
6
The number in the mathematical statement is 6
How to determine the number?Let the number be x.
So, the equation can be represented as:
3/4 * x = 4 1/2
Express the fraction as an improper fraction
3/4 * x = 9/2
Multiply through by 4/3
x = 6
Hence, the number is 6
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1. It is the time needed for half of a substance to decay.??
Answers
Answer:
The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.
P/S 1: Are you sure that your question is related to maths?
+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).
P/S 2: Not sure which is right tho:( Really sorry about that.
Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answers
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
PLZZZZZZZZ HURRY
When plotting points on the coordinate plane below, which point would lie on the y-axis?
A coordinate plane.
(0, 1)
(7, 0)
(6, 8)
(8, 2)
Answers
Answer:
0,1 lies on y axis ......
Step-by-step explanation:
option A (0,1) point will lie on the y axis as on y axis x coordinates is 0.
Which angle is an alternate interior angle to 8?
Answers
Answer:
<5
Step-by-step explanation:
Interior angle Kasi eh hihi
what is the vertex of f(x)=7(x+15)^2
Answers
Answer:
y = a ( x − h ) 2 + k
Step-by-step explanation:
https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713
chase travel 192 miles in 16 hours on his inline skates .What is his unit rate in milees per hour
Answers
a 1 mph
b 0.083
c 12 mph
d 24 mph
Answers
Explanation
Discriminant sorting
Answers
Answer: Discriminant sorting activity: Work with two other people, and find the discriminant of the quadratic equations you are given (each person should do 2). Sort them into 3 groups, and be prepared to explain how you chose your groups.
Step-by-step explanation:
A color printer prints 23 pages nine minutes how many minutes does it take per page
Answers
Answer: 2 pages
Step-by-step explanation:
Answer:
2.55555555555555555555555555556
What is 2/7+7/8
Help
Answers
Answer:
65/56 = 1 9/56
Step-by-step explanation:
Answer:
Step-by-step explanation:
16/56 + 49/56 = 65/56= 1 9/56
Angelica calculated the distance between the two points shown on the graph below.
On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.
Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.
Answers
Answer:
D
Step-by-step explanation:
The length of the side AB is 8 units, which Angelica calculated correctly.
What is the distance formula between two points?The distance formula between two points,
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given information AC = 6 units and BC = 10 units.
Therefore, The length of the side AB² = 10² - 6².
AB² = 100 - 36.
AB² = 64.
AB = 8 units.
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A classroom of students has their heights measured (in inches) for statistics investigation. The tallest student in the class is 71 inches tall. One student is assigned to record all the values. That student made a mistake when recording one of the values. When they meant to record the 71, they accidentally entered 711. What is the affect of this mistake on the median and IQR?
Answers
Answer:
This mistake has no effect on the median and IQR, since it will be an outlier.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Median:
The 50th percentile is called median.
Interquartile Range:
Difference between the 75th and the 25th percentile.
In this question:
Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.
However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.