Let f(x) = -20x^2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state it’s domain.
Answer:
-4x - 2 all are real number
Can someone help me with this?
Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,
[tex]Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\ [/tex]
So,
[tex] \frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}[/tex]
Therefore, number of terms is 6
6 is the right answer.Its a GP given by 2+6+18
First term=a=2Common ratio=r=
[tex]\\ \bull\tt\looparrowright \dfrac{6}{2}=3[/tex]
Now
[tex]\\ \bull\tt\looparrowright S_n=728[/tex]
[tex]\\ \bull\tt\looparrowright \dfrac{a(r^n-1)}{r-1}=728[/tex]
[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{3-1}=728[/tex]
[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{2}=728[/tex]
Cancel 2[tex]\\ \bull\tt\looparrowright 3^n-1=728[/tex]
[tex]\\ \bull\tt\looparrowright 3^n=728+1[/tex]
[tex]\\ \bull\tt\looparrowright 3^n=729[/tex]
[tex]\\ \bull\tt\looparrowright 3^n=3^6[/tex]
[tex]\\ \bull\tt\looparrowright n=6[/tex]
1 months salary 1000 rupees. How many salary in 1 day.
Step-by-step explanation:
1 month has 30 days
so 100 ÷ 30
so ans is 33.3 rupees for one day
MARK AS BRAINLIST IF IT IS USEFUL
8 216 899 (nearest million)
Answer:
8 milliom
Step-by-step explanation:
its ez
Please explain how you got the answers also please. Thank you :)
Answer:
x = -2 —> y = 4
x= 0 —> y = 1
x= 3 —> y = 1/8
Step-by-step explanation:
X= –2[tex]y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ - 2} =( \frac{2}{1} ) ^{2} = {2}^{2} = 4[/tex]
X= 0[tex]y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ 0} =1[/tex]
X= 3[tex]y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ 3} = \frac{ {1}^{3} }{ {2}^{3} } = \frac{1}{8} [/tex]
I hope I helped you^_^
HELPP QUICK PLS
ILL GIVE BRAINLIEST
Answer:Part A: 13
Step-by-step explanation: look at the graph
Can someone please answer this? Thank you!
[tex]\\ \sf\longmapsto 1-\left(\dfrac{4}{7}+\dfrac{4}{5}\right)[/tex]
[tex]\\ \sf\longmapsto 1-\left(\dfrac{20+28}{35}\right)[/tex]
[tex]\\ \sf\longmapsto 1-\left(\dfrac{48}{35}\right)[/tex]
[tex]\\ \sf\longmapsto 1-\dfrac{48}{35}[/tex]
[tex]\\ \sf\longmapsto \mid \dfrac{35-48}{35}\mid[/tex]
[tex]\\ \sf\longmapsto \mid \dfrac{-13}{35}\mid[/tex]
[tex]\\ \sf\longmapsto \dfrac{13}{35}[/tex]
Answer:
3/35
Step-by-step explanation:
total bottles 7/7
4/7 are big,
7/7-4/7=3/7 remaining bottles.
4/5×3/7=12/35 are small.
you add the big bottles and small bottles
4/7+12/35=32/35
then you minus from the total which is 7/7
7/7-32/35=3/35 are tiny.
what is the length of the diameter ?
Answer:
you can measure it in ruler
The PTA sells 100 tickets for a raffle and puts them in a bowl. They will randomly pull out a ticket for the first prize and then another ticket for the second prize. You have 10 tickets and your friend has 10 tickets. What is the probability that your friend wins the first prize and you win the second prize?
0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
-----------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Event A: Your friend wins the first prize.
Event B: You win the second prize.
-----------------------------------
Probability friend wins first prize:
10 out of 100 tickets, so:
[tex]P(A) = \frac{10}{100}[/tex]
-----------------------------------
Probability you win second prize:
There will be 99 tickets remaining(1 has been sorted), you have then of then, so:
[tex]P(B) = \frac{10}{99}[/tex]
-----------------------------------
What is the probability that your friend wins the first prize and you win the second prize?
Multiplication of the probabilities, thus:
[tex]p = P(A) \times P(B) = \frac{10}{100} \times \frac{10}{99} = \frac{10\times10}{100\times99} = 0.0101[/tex]
0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.
A similar question is given at https://brainly.com/question/22281693
I need these in slope intercept form
Answer:
y = 5/2 x
Step-by-step explanation:
2m + c = 5
4m + c= 10
__________-
-2m = -5
m = 5/2
c = 0
so, the equation in slope intercept form : y = mx + c
y = 5/2 x + 0
y = 5/2 x
Answer:
y = 5/2 x
Step-by-step explanation:
2m + c = 5
4m + c= 10
__________-
-2m = -5
m = 5/2
c = 0
so, the equation in slope intercept form : y = mx + c
y = 5/2 x + 0
y = 5/2
Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms? Explain. Sample Response: If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant. Which did you include in your response? Check all that apply. Use the addition or subtraction property of equality once to isolate the variable term. Use the addition or subtraction property of equality once to isolate the constant.
Answer:
We have to use addition or subtraction property of equality to determine the value of variable involve.
Step-by-step explanation:
Example with variable term:
3x=4-x
Add x on both sides of equation:
3x+x=4-x+x
4x=4
x=1
Example with contact involve:
5y+7=12
Subtract 7 from both sides
5x+7-7=12-7
5x=5
x=5/5
x=1
5 less than the difference of a number f and 35
Answer:
See below.
Step-by-step explanation:
There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.
(f-35)-5=f-35-5
=f-40
OR
(35-f)-5=35-f-5
=30-f
Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910
B.
2/1125
C.
1/455
D.
1/5
Answer:
OPTION D
NO. OF SINGERS=15
NO. OF FRIENDS =3
THERE PROBABILITY =3/15=1/5
1/2(f+y)=f-5 as a sentence
Step-by-step explanation:
½(f + y) = f - 5
(f + y)/2 = f - 5
y + f = 2f - 10
y = f - 10
or
f = y + 10
#mathisfun
What expression is equivalent to 9-(-12)
Answer:
9 + 12
Step-by-step explanation:
9 - (-12)
Subtracting a negative is like adding
9 + 12
21
9-(-12) [ - and - became + ]
9 + 12
9 + 12 = 21
line q passes through points (10, 6) and (1, 2). Line r is perpendicular to q. What is the slope of line r?
Answer:
slope of r = -9/4
slope of Q = 4/9
Step-by-step explanation:
x1 y1 x2 y2
10 6 1 2
(Y2-Y1) (2)-(6)= -4 ΔY -4
(X2-X1) (1)-(10)= -9 ΔX -9
slope= 4/9
Is the difference of a rational number and an irrational number always irrational? Explain.
Answer:
Step-by-step explanation:
Yes, the irrational number stays irrational.
Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers. If you like, they can be relatively prime to each other.
a/b + x = c/d Subtract a/b from both sides.
x = c/d - a/b Now put the 2 fractions over a common denominator.
x = (c*b - d*a)/(b*d) Investigate what you have.
b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).
cb and da are also integers. subtracted integers are also closed under subtraction.
But
Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)
So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.
Solve for z.
6.6 = 3(z − 16.9) − –0.6
z =
Answer:
z = 18,9
Step-by-step explanation:
[tex]6.6 = 3(z - 16.9) - - 0.6[/tex]
[tex]6.6 = 3z - 50.7 - ( - 0.6)[/tex]
[tex]6.6 = 3z - 50.7 + 0.6[/tex]
[tex]6.6 = 3z - 50.1[/tex]
[tex]6.6 - 3z = - 50.1[/tex]
[tex] - 3z = - 50.1 - 6.6[/tex]
[tex] - 3z = - 56.7[/tex]
[tex]z = 18.9[/tex]
3(b − 6) = 9
b =
The test is timed
Answer:
b = 9
Step-by-step explanation:
3(b − 6) = 9
3b - 18 = 9
3b = 9 + 18
3b = 27
b = 9
Answer:
b = 9
Step-by-step explanation:
[tex]3(b - 6) = 9[/tex]
[tex]3(b - 6) \div 3 = 9 \div 3[/tex]
[tex]b - 6 = 9 \div 3[/tex]
[tex]b - 6 = 3[/tex]
[tex]b - 6 + 6 = 3 + 6[/tex]
[tex]b = 3 + 6[/tex]
[tex]b = 9[/tex]
one half of a number plus 7
Answer:
1/2n + 7
n = unkown number
Step-by-step explanation:
Answer:
1/2(x) + 7
Step-by-step explanation:
x= unknown number
Year8 Maths(Angles)
Help me plz!!
Step-by-step explanation:
a 360/9 = 40
b 2/9 × 360 = 80
c similarly 160
d 400
please help easy maths
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
The y intercept occurs when x = 0.
All you have to do is read the table until you come to x = 0.
When you do, read down to get the y value.
The answer is A (0,2)
- 2(5x – 3) > - 54
Solve this problem for 20 points plz!
Answer:
umm both the same and the tennis courts have a sister in their m
hey please help i’ll give brain
Answer:
14 is the correct answer. It is just the inverse of 5+9 but it equals the same
Step-by-step explanation:
John sold a car for 60,000 dollars and made a profit of 20%.what is the cost price of the car
Answer:
72,000
Step-by-step explanation:
20% of 60,000 = 12,000
60,000 + 12,000 = 72,000
Chow,...!
350 rounded to the nearest hundred is
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]
[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]
[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
HELPP PLSSS!!! When factoring a number, you can use _[blank 1] as a shortcut. For example, you can tell if 5 is a factor of a number if _[blank 21- Match each blank with the option that correctly fills in that blank. blank 2 blank 1 .: it is even .: divisibility rules :: its last digit is 0 or 5 :: the sum of its digits is a multiple of 3 * long division guessing and checking
Answer:
blank 1: divisibility rules
blank 2: its last digit is 0 or 5
M decreased by 1??????
Answer:
Step-by-step explanation:
Ssssyiijnbrr
Is there any value(s) of the domain of x^2+ y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Answer:
below
Step-by-step explanation:
First we need to find the domain.
x^2+ y^2 = 8
√x^2 + √y^2 = √8
x + y = ±2√2
So the domain is ±2√2. If you graph the circle you will see that it will in fact fail the vertical line test, mainly because its a circle. If you graph the domain onto the circle, you will see that it will have an affect on it being a relation. A graph will be shown below for a better reference. Keep in mind that ±2.828 is the decimal form of ±2√2.
Best of Luck!
5.
For which discriminant is the graph possible?
A. b2 – 4ac = –1
B. b2 – 4ac = 0
C. b2 – 4ac = 4