Answers
Related Questions
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
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================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answers
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
Which polygon has an interior angle sum of 1080°?
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Answer:
its octagon. first and last one it has total 8 sides
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP
Answers
Answer:
(10,-1)
Step-by-step explanation:
A translation to the right is (x+5)
A translation down 2 is (y-2)
(5+5, 1-2)
(10,-1)
Answer:
(10, - 1 )
Step-by-step explanation:
A translation right 5 units means add 5 to the x- coordinate
A translation down 2 units means subtract 2 from the y- coordinate
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )
I don’t know what to write but ye I need help with this question. Thanks
Answers
Answer: the first table.
Step-by-step explanation:
The terms in the domain (x) should have only one range (y)
Answer:
A) x: -3, 0, -2, 8
y: -1, 0, -1, 1
Step-by-step explanation:
Function has only one output for each input.
OAmalOHopeO
factorize: xy-3x - 5y + 15
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Answer:
Step-by-step explanation:
xy-3x-5y+15
x(y-3)-5(y-3)
(y-3)(x-5)
I don't need a language ABC
Answers
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
write an inequality and show on a number line all numbers greater (-3) but less than equal to3
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Answer:
-3<x<_3
You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.
Step-by-step explanation:
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
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Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
Find two numbers whose sum is sixty eight and whose difference is twenty two
Answers
Answer:
45 and 23
Step-by-step explanation:
Let x equal the first number and y equal the second number.
We can set the following equations up with our information:
[tex]x+y=68[/tex]
[tex]x-y=22[/tex]
Adding the two equations together, we get:
[tex]2x=90[/tex]
Dividing by two, we receive [tex]x=45[/tex]
We can plug this into our first equation to get [tex]45+y=68[/tex].
Subtracting 45 from both sides, we get [tex]y=23[/tex].
The two numbers are 45 and 23, solved using system of equations.
What is a system of equations?A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.
How to solve the question?In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.
We assume the two numbers to be x and y.
The sum of the two numbers is given to be 68.
This can be shown as an equation, x + y = 68 ... (i).
The difference of the two numbers is given to be 22.
This can be shown as an equation, x - y = 22 ... (ii).
Equations (i) and (ii) together makes a system of equation in the variables x and y.
To solve for the system of equation, we add (i) and (ii), to get:
x + y = 68
x - y = 22
_________
2x = 90,
or, x = 45.
Substituting x = 45 in (i), we get:
x + y = 68,
or, 45 + y = 68,
or, y = 23.
Thus, the two numbers are 45 and 23, solved using system of equations.
Learn more about system of equations at
https://brainly.com/question/13729904
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1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this
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ef is the median of trapezoid abcd (please explain the answer im so confused lol)
Answers
Step-by-step explanation:
Okay, so...
The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.
In other words,
EF = ( BC + AD ) / 2
So for part 1, we can use that equation to find x.
[tex]EF = ( BC + AD ) / 2[/tex]
Insert known equations.[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]
Simplify within parentheses.[tex]4x-18=[x+12+3x-4]/2[/tex]
[tex]4x-18=[x+3x+12-4]/2[/tex]
Add.[tex]4x-18=[4x+8]/2[/tex]
Divide.[tex]4x-18=2x+4[/tex]
Simplify.[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]
[tex]2x=22[/tex]
Divide both sides by 2.[tex]x=11[/tex]
Part 2 is a lot easier now. All we have to do is plug in 11 for x.
[tex]BC =x+12[/tex]
[tex]BC = 11+12[/tex]
[tex]BC = 23[/tex]
-
[tex]AD = 4x-18[/tex]
[tex]AD = 4(11)-18[/tex]
[tex]AD = 44-18[/tex]
[tex]AD = 26[/tex]
-
[tex]EF = 3x-4[/tex]
[tex]EF = 3(11)-4[/tex]
[tex]EF = 33-4[/tex]
[tex]EF = 29[/tex]
Answer:
Part I: x = 11
Part II:
BC = 23AD = 26EF = 29Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:
m∠A=45∘
m∠B=53∘
m∠C=82∘
What is the measure of angle Y?
Answers
9514 1404 393
Answer:
53°
Step-by-step explanation:
The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.
m∠Y = 53°
Answer: 53
Step-by-step explanation:
(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.
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yeah yeah that’s what she was saying she didn’t yyyyyyyyu
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answers
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12
Given two consecutive integers whose sum is 45, find the smaller of the two integers.
Answers
Answer:
22 and 23
Step-by-step explanation:
let two consecutive number be
x and x+1
now,according to the question
x+x+1=45
or,2x=45-1
or,2x=44
or,x=44/2
:-x=22
Hence, the two consecutive numbers are
22 and 23
What would be the 1st step in solving this problem:
(4-2+6) +9x7
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Answer:
doing whatever is in the brackets or paranthesis
Need help ASAP please
Answers
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
Choose the correct description of the graph of the compound inequality:
x-3<-9 or x+5>equal to 12
Answers
Answer:
C
Step-by-step explanation:
x - 3 < -9
simplifies to x < -6, which is to the left with an open circle
x + 5> 12
simplifies to x > 7, which is to the right a closed circle
pi = c/d solve for d?
Answers
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answers
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.
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Answer:
the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243
Step-by-step explanation:
to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer
We have that The Next 3 patterns are
1/27,1/81,1/243
From the Question we are told that
Pattern. 9 ,3 ,1 ,1/3, 1/9
Generally
Using in inductive reasoning the pattern progresses as a function of dividing by 3
Therefore
The next three number are
[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]
[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]
[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]
Therefore
The Next 3 Numbers are
1/27,1/81,1/243
For more information on this visit
https://brainly.com/question/22923038?referrer=searchResults
who can help me out with this one?
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Answer:
(x + 1)² + (y - 2)² = 9
Step-by-step explanation:
Equation of the circle with center (h, k):
(x - h)² + (y -k)² = r² where r is radius
Center(-1 , 2) ; r =3
(x - [-1])² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id
Answers
Answer:
72
Step-by-step explanation:
The diameter is 24
pi is approximated by 3
The circumference is given by
C = pi *d
= 3 * 24
= 72
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answers
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
i really need your help
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HELPPP PLEASE!!!
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
Answers
Answers:
The expression is 12n
He reads 84 books in 7 months
==================================================
Explanation:
For 1 month, he has read 12*1 = 12 books
For 2 months, he has read 12*2 = 24 books
For 3 months, he has read 12*3 = 36 books
and so on
If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.
If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.
A new scooter is valued at $15 000.
At the end of each year its value is reduced
by 15% of its value at the start of the year.
What will it be worth after 3 years?
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here
p= 15000
r=15%
t= 3 yrs
now
depreciation = p(1-r/100)^t
= 15000(1-15/100)^3
=9211.875
=9212 or 9211.88
When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator.
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Answer:
- Hello Risap!
[tex] \large{ \red{\tt{❃ } \: \blue{ PROVIDED}}}[/tex] : Discount % = 12% & Selling price [ SP ] = Rs 1760[tex] \large{ \tt{ \red{❀ \: \blue{TO \: FIND}}}}[/tex] : Marked price of the calculator [ MP ][tex] \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}[/tex]
[tex] \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}[/tex]
[tex] \large{ \tt{⟶ \: 88 \: MP = 176000}}[/tex]
[tex] \large{ \tt{⟶ \: MP= \frac{176000}{88} }}[/tex]
[tex] \large{ \tt{⟶ \: MP = Rs \: 2000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}[/tex]
Hope this helps! Let me know if you have any other questions regarding my answer and also , notify me if you need any other help! :)
Need help ASAP plz
Answers
Answer:
C) postulate
An axiom or a postulate is an accepted statement of fact.
OAmalOHopeO
Answer:
Im pretty sure its definition
