Answers
Answer as a compound inequality: [tex]-4 \le y < 2[/tex]
Answer in interval notation: [-4, 2)
=============================================
Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have [tex]y \ge -4[/tex] which is the same as [tex]-4 \le y[/tex]
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that [tex]y < 2[/tex]
Combine [tex]-4 \le y[/tex] and [tex]y < 2[/tex] to get the compound inequality [tex]-4 \le y < 2[/tex]
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
Related Questions
Solve the quadratic equation in standard form: f(x)=3x^2-6x-4
Answers
Answer: Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
1
,
−
1
)
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
1
,
−
1
)
Step-by-step explanation:
what is the area of y°
Answers
Answer: Below
Step-by-step explanation:
First, we start with x. We see the x is opposite of 30, so x is 30.
x + y + y = 180, since they lay on a straight angle.
180 - 30 = 150
since we still have 2 y's left:
2y = 150
y = 75
Which number line shows the solution to the inequality
-3x - 5 < -2?
Answers
Answer:
xStep-by-step explanation:
-3x-5<-2-3x<-2+5 -3x<3 divide by -3 both sidex<-1 answer.Five friends ordered pizza for dinner. The pizza cost $30.There was also tax of $5.75. How much would each person pay if they split the total cost equally?
Answers
Answer:
They would each pay $7.15
$35.75 divided by 5=$7.15
So each person has to pay $7.15
There are 10 rulers, 6 erasers, and 8 red pens. Write the ratio for earaser to rulers in simplest
Answers
Answer:
The answer to the question is 5:3:4
Please help me which shape is it.?
Answers
Answer:
Equilateral
Step-by-step explanation:
It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)
Have a wonderful day!!
Please rate and mark brainliest!!
Find the solution set for x. x+17>65
Answers
Answer:
Move all terms not containing
x
to the right side of the inequality.
Inequality Form:
x > 48
Interval Notation:
(48,∞)
Hope this helps
8 nickels 5 quarters what is the ratio of coins to quarters
Answers
Answer:
13:5
Step-by-step explanation:
13 coins and 5 quartres
c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter
Answers
Write an explicit formula for each arithmetic sequence.
An = An - 1 - 3; A1 = 10
Answers
How to write 40% in fraction in simplest form
Answers
(C) 2a+a²b-2b-ab. send me fast
Answers
Answer:
what do you want me to do with that
factor?
What introduction proof is FH=FG=GH
Answers
Answer:
What grade are you in I might know it
can anyone solve this question?? plz help me tommorrow is my exam
Answers
Answer:
Loss=Rs 80
Loss%=4%
Step-by-step explanation:
Cost price of trousers for Ujeli=Rs2000
Marked price for trousers =Rs 2400
Reduction of MP(take it as discounted) =20%
Selling price=MP-20%of MP=2400 - 20/100 * 2400 = 2400 - 480 = Rs 1920
Loss amount =CP - SP = 2000 - 1920 = Rs 80
Loss% =loss amt/CP *100 =80 / 2000 *100 =4%
Hope this helps!!
Please solve this I'll give you 25 points
Answers
If I were to make a quick guess I think this is the line y=4X
Answer:
its linear (i know how to draw the graph but i cant show you here, just make umm an x axis and y axis from 1 to 30 ) (also i feel like theres another way to know if its linear but this is how i would do it!)
Step-by-step explanation:
to see if its linear ummm we first have to find the slope, the equation for the slope is
y2 - y1 / x2 - x1
lets use the points (2, 8) and (3, 12)
12 - 8/ 3 -2
4 / 1
4
y = 4x + b
now to find the y-intercept lets input a point we did not use yet
(5, 20)
20 = 4(5) + b
20 = 20 + b
b = 0
y = 4x
now we check if its linear with the points (6, 24) and (3.5, 14) sooo
24 = 4(6) ?
24 = 24
14 = 4(3.5) ?
14 = 14
so yes it is a linear graph
Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value, show your work
Answers
Answer:
she sends 14 texts
Step-by-step explanation:
12 + x = 26
------------------
-12 -12
x = 26 - 12
x = 14
Carlos was having a home built. The blueprints are shown below. The scale for the blueprints to the actual house is 2 inches to 7 feet.
Part A What is the actual width of the entire building
Part B What is the length of the entire building
Answers
Part A: 28 ft
Explanation: you have to change 8 in to ft using the scale 2 in to 7 ft.
Part B: 84 ft
Explanation: you have to change 24 in to ft using the scale
The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
Given that, the scale for the blueprints to the actual house is 2 inches to 7 feet.
What is the scale factor?The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Now, width = 8 inches in feet is 4 × 7 =28 feet
Length = 14+10 =24 inches in feet is 12 × 7 = 84 feet
Therefore, the actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Please help I will give brainliest.
Answers
Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)
Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.
The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orders of french fries, for a total cost of $38.30. The next day, the employees ordered 5 turkey sandwiches and 5 orders of french fries totaling $40.75. What does the delicatessen charge for a turkey sandwich? What is the charge for an order of french fries?
Answers
Answer:
Charges of Turkey is $6.25
Charges of French Fries is $1.90
Step-by-step explanation:
Given
Represent Turkeys with T and French Fries with F;
[tex]4T + 7F = 38.3[/tex]
[tex]5T + 5F = 40.75[/tex]
Required
Determine the values of T and F
[tex]5T + 5F = 40.75[/tex]
Divide through by 5
[tex]T + F = 8.15[/tex]
Make F the subject
[tex]F = 8.15 - T[/tex]
Substitute 8.15 - T for F in the first equation
[tex]4T + 7F = 38.3[/tex]
[tex]4T + 7(8.15 - T) = 38.30[/tex]
[tex]4T + 57.05 - 7T = 38.30[/tex]
Collect Like Terms
[tex]4T - 7T = 38.30 - 57.05[/tex]
[tex]-3T = -18.75[/tex]
Solve for T
[tex]T = -18.75/-3[/tex]
[tex]T = 6.25[/tex]
Recall that:
[tex]F = 8.15 - T[/tex]
[tex]F = 8.15 - 6.25[/tex]
[tex]F = 1.90[/tex]
Every train carriage has four doors. How many doors will the train have if there are 10 carriages?
Answers
Answer:
40 doors.
Step-by-step explanation:
1 train carriage = 4 doors
10 train carriage = 4 x 10 = 40 doors
because 4*10= 40
The number of students in each class is shown on the line plot.
Find the median number of students.
Answers
Answer:
Your answer is 24.
Step-by-step explanation:
The data set is 22,23,23,23,24,24,25,26,26,26,28
The median of this set is 24
The mean is 24.54
The mode is 23,26
The range is 6
Alejandro started the 10-kilometer race at 8:22 am. He finished the race
at 9:09 am. How long did it take him to run the race?
Answers
Answer: 47 minutes
Step-by-step explanation:
First substract 22 from 60 to see how much it took to get till 9 and then add the remaining 9 minutes
Answer:
47 min
Step-by-step explanation:
22 from 8:22 + 47 min = 8:69
69 simplified = 1 hr 9 mins
9:09
pls mark brainliest if I'm correct
the triangles are similar pls help me!!!! marking brainliest!!!!!
Answers
Jermaine has to work with the formula, A = L x W , to find the length of his backyard. He needs to rearrange the formula to solve for "L" the length. what would the new formula look like
Answers
l = a x w
Hes trying to find lenth so the equal we be getting a and w's attention
PLEASE HELP!!!
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form.
Answers
Answer:
y=2x+1
Step-by-step explanation:
The point-slope form is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from ordered pair, and m being the slope. You can plug all of those values into the original equation:
(y-y1)=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x+1
Katelyn sells cars at a used car dealer on commission. The car lot pays a 18% commission when the profit on a car is under $400, 22% when the profit is at least $400 and less than $1,000, and 24% when the profit is $1,000 or more. How much will she receive if she sold $800 in profits?
Answers
Answer:
She will receive 22% commission
Step-by-step explanation:
18% commission when the profit on a car is under $400
22% when the profit is at least $400 and less than $1,000
24% when the profit is $1,000 or more.
How much will she receive if she sold $800 in profits?
She will receive 22% commission
$800 profits is greater than $400 but less than $1000
Solve for n.
8 = 2(n + 1)
Answers
Answer:
n = 3
Step-by-step explanation:
8 = 2(n + 1)
8 = 2n + 2
6 = 2n
n = 3
Because you solve the parenthesis and collect like terms which are 2 and 8,then subtract both which leaves you with 6=2n then divide 6 and 2 which gives you 3
What is the length of diagonal RQ?
9.3 in
22 in
18.6 in
11 in
Answers
Assuming the entire quadrilateral is a parallelogram, we can say that using the property of diagonals;
The diagonals of a parallelogram bisect each other, meaning that RQ is divided into two equal parts.
If half of RQ is 9.3 then,
RQ=2×9.3=18.6 in
That's your answer RQ=18.6 in
Answer:
the answer is C.18.6
Step-by-step explanation: i took the quiz and got it right
Juanita’s boss told her that once she has worked with the company for 10 years, her salary will be increased to 3 times what she makes now plus $2,000. If s represents her original salary, which expression represents what her salary will be after 10 years at the company? One-third s 2,000 StartFraction 3 Over s EndFraction 2,000 3 s 2,000 2,000 minus 3 s.
Answers
Salary after 10 years at the company will be 3s+2000.
It is given that original salary =s
What is the multiplication of a variable x to constant p?The multiplication of a variable x to constant p is px.
Salary after 10 years as per promise = thrice of original salary +$2000
Salary after 10 years = 3*s + 2000
Salary after 10 years = 3s+2000
Therefore, salary after 10 years at the company will be 3s+2000
To get more about algebraic multiplication visit:
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Answer this, please!
Help!!!
Answers
Answer:
25
Step-by-step explanation:
complementary angles is when their sum = 90 so
30 + 2x + 10 = 90
2x = 90 - 40
2x = 50
X = 25
Answer:
x = 25
Step-by-step explanation:
1. Due to the fact that Angle F and angle G are complementary, 2x + 10 + 30 = 90.
2. Solve this equation: 2x + 10 + 30 = 90
Add 10 and 30
2x + 10 + 30 = 90
2x + 40 = 90
3. Subtract 40 from 90
2x + 40 = 90
2x = 90 - 40
2x = 50
4. Divide 2 from 50
x = 50/2
x = 25