Answer:
b, quadratic with constant second difference of 96
Step-by-step explanation:
The function is cubic with a constant third difference of 96.
What is Function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Using differences:
X f(x) first difference second difference third
3 39 - - -
5 187 (187-39)/2= 74 - -
7 551 (551-187)/7-5 = 182 182 - 74/2 = 54 -
9 1227 (1227-551)/(9-7)=338 338-182/2=78 78-54/2 = 12
11 2311 (2311-1227)/2=542 542-338/2=102 102-78/2 = 12
According to table,
The function is cubic, because the third average change rate is constant of 12.
12>0, so the third difference is >0 then -96 is false.
Thus, the function is cubic with a constant third difference of 96.
Learn more about function from:
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the figure is symmetric about the x- and y-axis. what is the area of the figure below
Answer:
126 units²
Step-by-step explanation:
Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.
Trapezoid ABRS ≅ trapezoid IHLK
Trapezoid DEOP ≅ trapezoid FEON
Rectangle BCQR ≅ rectangle GHLM
Area of trapezoid is [tex]\frac{b_{1} +b_{2} }{2}h[/tex]
Area of rectangle is [tex]lw[/tex]
The total area of the figure is: ( 2 × [tex]A_{ABRS}[/tex] + 2 × [tex]A_{BCQR}[/tex] + 2 × [tex]A_{DEOP}[/tex] )
In trapezoid ABRS: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 8 and h = 3 ⇒
2 × [tex]A_{ABRS}[/tex] = 2 × [3(6 + 8) ÷ 2] = 42 units²
In rectangle BCQR: l = 6 and w = 3 ⇒
2 × [tex]A_{BCQR}[/tex] = 2 × (6 × 3) = 36 units²
In trapezoid DEOP: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 10 and h = 3 ⇒
2 × [tex]A_{DEOP}[/tex] = 2 × [3(6 + 10) ÷ 2] = 48 units²
[tex]A_{total}[/tex] = 42 + 36 + 48 = 126 units²
Question 1 (1 point)
(05.06)
Which of the following points lie in the solution set to the following system of inequalities? (1 point)
y < −3x + 3
y < x + 2
a
(1, −5)
b
(1, 5)
c
(5, 1)
d
(−1, 5)
HELP PLEASE
Answer:
The points that lie in the solution set of following system of inequalities are:
Option A (1,-5) and Option C (5,1)
Step-by-step explanation:
We need to find the points that lie in the solution set to the following system of inequalities
[tex]y<-3x+3\\y<x+2[/tex]
We will check each option to identify if they satisfy the given set of inequalities or net.
Option A (1,-5)
We have x=1, y=-5
Putting values and checking
[tex]\\y<-3x+3\\-5<-3(1)+3\\-5<0 \ (true)\\y<x+2\\-5<1+2\\-5<3 \ (true)[/tex]
So, Option A is correct as both values satisfy the given set of equations
Option B (1,5)
We have x=1, y=5
Putting values and checking
[tex]y<-3x+3\\5<-3(1)+3\\5<0 \ (false)\\y<x+2\\5<1+2\\5<3 \ (false)[/tex]
So, Option B is not correct as both values doesn't satisfy the given set of equations
Option C (5,1)
We have x=5, y=1
Putting values and checking
[tex]y<-3x+3\\1<-3(5)+3\\1<-15+3\\1<12 \ (true)\\y<x+2\\1<5+2\\1<7 \ (true)[/tex]
So, Option C is correct as both values satisfy the given set of equations
Option D (-1,5)
We have x=-1, y=5
putting values and checking
[tex]y<-3x+3\\5<-3(-1)+2\\5<3+2\\5<5 \ (false)\\y<x+2\\5<-1+2\\5<-1 \ (false)[/tex]
So, Option D is not correct as both values doesn't satisfy the given set of equations
The points that lie in the solution set of following system of inequalities are:
Option A (1,-5) and Option C (5,1)
A Jackhammer from 1 meter away produces roughly 100dB of sound. What is the sound pressure caused by the Jackhammer? Recall that the loudness of a sound in decibels (dB) is given by the equation L=20log10(ppref) dB. Please help i'm so lost!!!
Answer:2
Step-by-step explanation:
Answer:
2Pa
Step-by-step explanation:
just did the hw :)
Frank raked 23 of his lawn yesterday and 16 of it the day before. How much of his lawn did Frank rake over the course of the two days?
answer
39.............................
Step-by-step explanation:
23+16 39.
Y’all pls help me kanajkabawiajjajqjqkqknabajokqnqq
Answer:
help with what? what is your q u e s t i o n
Step-by-step explanation:
Answer:
I will help, but I need to know your question first haha!
Step-by-step explanation:
HELPP PLEASEEE!!
(look at the photo)
Answer:
B
Step-by-step explanation:
If you notice, since concert tickets is 1, the cost is $23. So we are finding an option that satifies that. The only option is B.
Hope you get a 100. Please hit the crown if correct :D
Answer:
B:23 dollars is the cost for each concert ticket
Step-by-step explanation:
Please help I don't want to get a bad grade
Answer:
2m-17
Step-by-step explanation:
-20+1/4(8m+12)
-20+2m+3
2m-20+3
2m-17
the answer is -20+ (8m+12/4)
I need help with linear regression
Answer:
In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.
Determine whether 2, 5, 9, 14, . . . is an arithmetic sequence
Answer:
no because they do not go up by the same number plz mark brainiest
Step-by-step explanation:
Please help me with My algebra. I'm stressing a lot right now so Thank you.
I might brainly you
The circle has a radius of 11 cm. What is the area of the shaded sector? Use 3.14 for π, and round your answer to the nearest tenth.
What is the approximate area of the shaded sector?
23.0 cm2
126.7 cm2
253.3 cm2
379.9 cm2
Answer:
C) 253. 3 cm²
Step-by-step explanation:
1. Sector area formula can be in degrees or radians. I will use degrees because we are given 240 degrees as a unit.
2. SA= [tex]\frac{x}{360}[/tex] times [tex]\pi r^{2}[/tex] where x is the degrees of the sector
3. 240/360 times 3.14(11)²
4. 0.66666667 times 379.94
5. approximately 253. 3 cm²
Answer:
C. 253.3 cm2Step-by-step explanation:
A book weighs 0.65 kg. A printing company packs 5 copies of
the book in a box. How much do the books in the box weigh?
Answer:
3.25 kg
Step-by-step explanation:
Since there are five books in the box, and one book weighs 0.65 kg, you just have to multiply 0.65 by five.
0.65(5)=3.25. So the answer is 3.25kg
Select three ratios that are equivalent to 11:1
Choose 3 answers:
A
1:11
(Choice B)
B
22:2
(Choice C
C
55:5
(Choice D)
D
9:99
(Choice E)
E
110:10
What is the slope of the line that goes through points (-3,-4) and (-7, 16)?
Answer:
The slope is -5
Step-by-step explanation:
16 -(-4) / -7 -(-3) = 5
Hope this helps. Pls give brainliest.
Which equation represents the line that is parallel to 5x+y=13 and passes through the point (15,-31)?
Answer:
thx for 10 points tho
Step-by-step explanation:
What percentage of the circle is shaded? *
2%
25%
50%
75%
Answer:
50%
Step-by-step explanation:
There are 4 sections in the circle. 2 out of 4 of them are shaded. That is half. 50% is another way of representing half of something.
Answer:
its c 50%
Step-by-step explanation:
the question is on the sheet
Answer:
m= 3 /2
Step-by-step explanation:
Solve the following:
3x + 7 = 5x - 1
X =
Answer:
x= 4
Step-by-step explanation:
3x + 7 = 5x - 1
combine the like numbers: add 1 to the other side, isolating 5x
3x + 8 = 5x
Subtract 3x from 5x, isolating 8
8 = 2x
divide
4 = x
Check if it works
3(4) + 7 = 5(4) - 1
19 = 19
Yes, it is correct
Angle Theorems for triangles
Answer:
Step-by-step explanation:
The interior angles of a triangle add to 180°:a + b + c = 180°
Angles c and d make a straight angle, which is 180°:d + c = 180°
So d + c equals a + b + c:d + c = a + b + c.
Subtract c from both sides:d = a + b.
find the value of s(5) in function s(x)=2^2+10
Answer:
0
Step-by-step explanation:
The ramp measures 9 feet long and is 3 feet from the ground. What is the slope of the ramp?
Answer:
I think it's y = 3 and x = 9 so 3/9 I think.
or -3/9 if the ramp goes down
or 3/9 if the ramp goes up
good luck!
Which statements about the Commutative Property of Multiplication are TRUE? Select all that apply. A. The property applies to all real numbers. B. The property states that ab is equivalent to ba. a ( x + y ) = ax + ay C. There is also a Commutative Property of Division because multiplication and division are related operations. D. The property states that when multiplying three numbers together, you can multiply any two of them first and then multiply by the remaining number.
Answer:
b) The property states that ab is equivalent to b a
Step-by-step explanation:
Commutative property:-
the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.
Let 'a' and 'b' be the two integers , then ab = b a
Example:-
. 1 X 2 = 2 X 1 = 2
. 12 X 5 = 5 X 12 = 60
Answer:
B
Step-by-step explanation:
XYZ shown below has a measure of (8x + 12)°. The measure of 1 is (4x + 8)°, and the measure of 2 is (9x - 11).
What is the measure of ZXYZ?
A 3
B 20°
C 36°
D 60
Answer:
C
Step-by-step explanation:
∠ XYZ = ∠ 1 + ∠ 2, substitute values
8x + 12 = 4x + 8 + 9x - 11 = 13x - 3 ( subtract 13x from both sides )
- 5x + 12 = - 3 ( subtract 12 from both sides )
- 5x = - 15 ( divide both sides by - 5 )
x = 3
Thus
∠ XYZ = 8x + 12 = 8(3) + 12 = 24 + 12 = 36° → C
A playground is rectangular with a length of 1/2
miles. If the area of the playground is 5/8
square miles, what is its width? Input your answer as a fraction. Need help ASAP for a grade
Answer:5/4
Step-by-step explanation:
Area = length* width
5/8 = 1/2 * width
Width = 5/4
Answer:
5/4 miles.
Step-by-step explanation:
Width = area / length
= 5/8 / 1/2
= 5/8 * 2
= 10/8
= 5/4 miles.
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag.
When Denato pulls a pen from the bag, how many outcomes are possible?
A.8
B.7
C.14
D.29
20 POINTS!!
The probability helps us to know the chances of an event occurring. The number of possible outcomes When Denato pulls a pen from the bag is 29.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that the bag has 8 red pens, 7 blue pens, and 14 black pens. Therefore, if Denato will pull a pen from the bag the number of possibilities will be the sum of all the number of pens.
Number of Possibilities = 8 + 7 + 14 = 29
Thus, the number of possible outcomes When Denato pulls a pen from the bag is 29.
Learn more about Probability:
https://brainly.com/question/795909
Answer:
29
Step-by-step explanation:
There are 9 pens, so 29 outcomes
WILL GIVE BRAINLIEST A full grown elephant can, on average, eat 300 lbs of food and drink 50 gal of water each day. How much food is needed for 4 elephants for a week?
Answer:
8400
Step-by-step explanation:
Explanation: do 300 times 28 because 28 days is 4 weeks then you will get your answer please give brainliest!
Answer:
8400
Step-by-step explanation:
300x4 is 1200 then, you multiply by 7( 7 because there is 7 days in a week) which you get 8400 pounds of food
A company orders 18 boxed lunches from a deli for $223.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
12.40
Step-by-step explanation:
[tex]223.20 \div 18[/tex]
that will give you the answer of 12.40 for each unit.
Answer:
Step-by-step explanation:
1 box costs x amount
18 boxes cos 223.20
Cross multiply
223.20 * 1 = 18 x
Divide by 18
223.20 / 18 = 18x / 18
x = 12.40
Cost of 1 box is 12.40
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root of two divided by four quantity negative square root of six plus square root of two divided by four square root of six minus square root of two
Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
On a social media site, Josie gets 10 friend requests. She could accept or reject any of them. How many different possible ways could she respond to this set of 10 requests?
Which one is the correct answer?
9
10
11
19
20
21
45
44
46
1024
1023
1025
None of the above
I need you to find the value for X, show steps please!
-4x = 22
Answer:
x=-5.5
Step-by-step explanation:
This equation has already been simplified to the last part for you so all you have to do is divide 22 by -4 and you get -5.5
22/-4=-5.5
Answer:
x = -5.5
Step-by-step explanation:
To answer this you need to isolate the x.. So -4x/-4 and then do the same to 22. So 22/-4 = -5.5
The answer is x = -5.5