Answer:
[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]
Solve the equation 2(x-3) = 14
Help me from 3 through 8
Answer:
3)x=−9 and x=4
4)x=−12 and x=−5
5)x=8 and x=14
6)x=−7 and x=3
7)x=-1 2/3 and x = 1/4
8)x=2/5
Step-by-step explanation:
Hope this helps
subtract 10x^2-10x+2 from -8x^2+7x-7
Answer:
-18x^2+17x-9
Step-by-step explanation:
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51 - 58 6 59 - 66 3 67 - 74 11 75 - 82 13 83 - 90 4
Answer:
[tex]Mean = 68.9[/tex]
[tex]s^2 =18.1[/tex] --- Variance
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]
For 59 - 66
[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]
For 67 - 74
[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]
For 75 - 82
[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]
For 83 - 90
[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]
So, the table becomes:
[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
The mean is then calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]
[tex]Mean = \frac{2547.5}{37}[/tex]
[tex]Mean = 68.9[/tex] -- approximated
Solving (b): The sample variance:
This is calculated as:
[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]
[tex]s^2 =\frac{652.8}{36}[/tex]
[tex]s^2 =18.1[/tex] -- approximated
What is the value of the expression? 21.18
÷
6 =
ASAP PLEASE
Answer:
3.53
Step-by-step explanation:
I checked it using a calculator. :)
So far, Monica has read ã of a book. She
has read the same number of pages each
day for 5 days. What fraction of the book
does Monica read each day?
A coffee pot had 1
1/2 pints of coffee.
After a mug was
filled, there were 1
pint left in the pot.
How many ounces of
coffee were in the
mug?
Answer:
8 ounces
Step-by-step explanation:
Since there was 1 pint left, that means the mug had 1/2 pints of coffee.
Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2
16(1/2)
= 8
So, there were 8 ounces of coffee in the mug
-7(y – 5) + 8 = -27
help?
Answer:
10
Step-by-step explanation:
-7y + 35 + 8 = -27
collect like terms
-7y = -27 - 35 - 8
-7y = -70
y= -70/-7
y= 10
What type of jobs offer commissions?
Answer:
Sales Engineers. ...
Wholesale and Manufacturing Sales Representatives. ...
Securities, Commodities, and Financial Services Sales Agents. ...
Advertising Sales Agent. ...
Insurance Sales Agent. ...
Real Estate Brokers and Sales Agents. ...
Travel Agents.
Step-by-step explanation:
What type of jobs offer commissions?
-Sales Engineers
-Wholesale and Manufacturing Sales Representatives
-Securities, Commodities, and Financial Services Sales Agents
-Advertising Sales Agent
-Insurance Sales Agent
-Real Estate Brokers and Sales Agents
-Travel Agents
Change x+2y=-6 into y=mx+b form
Answer:
y = -3 - x/2
Step-by-step explanation:
x + 2y = -6
You have to isolate y by minusing x on both sides
2y = -6 - x
Then you will isolate y by dividing both sides by 2
y = -3 - x/2
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
Solve this system by substitution. y = 3x - 12 6x + y = 6 *Remember to write your answer as a coordinate voint (x, y).
Which is the slowest reading rate?
A. 3 pages in 9 minutes
B. 4 pages in 10 minutes
C. 5 pages in 13 minutes
D. 7 pages in 20 minutes
Answer:
A. 3 pages in 9 minutes
Step-by-step explanation:
3 & 9 are all the lowest out of those options.
If 3/4 pounds of Fudge coast $6. 75, how much does 1 pound cost. Write as an equation.
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
Answer:
the answer is 13 units
Step-by-step explanation:
60÷(63÷7)=
I don't understand plz help
Answer:
answer is simple
first we will solve the bracket
(63÷7)
it is 9
and then 60÷ 9
which gives 6.67
Help me pls pls pls
Answer:
1.61
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.61
The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .
In 2011 the boat will be worth $ .
Answer:
Step-by-step explanation:
[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]
Pls help!!! Will mark Brainiest!
Factor each expression using the GCF. Check your work using the Distributive Property.
9. 3x + 12
10. 6x - 30
11. 20x - 16
12.-50x + 80
13. 77 + 22x
14. 21x - 14
Answer:
9.3(x+4)
10.6(x-5)
11.4(5x-4)
12.-10(5x-8)
13.11(7+2x)
14.7(3x-2)
Step-by-step explanation:
Brainliest to best answer :D
The difference of two numbers is 63. The sum of two numbers is 111. What are the two numbers?
Answer:
Step-by-step explanation:
Let b>a
b-a=63
b=63+a
a+b=111, substituting 63+a from above in this equation gives you
a+63+a=111
2a+63=111
2a=48
a=24, since b=63+a
b=63+24
b=87 so the two numbers are
24 and 87
Please help I don't get this question
Answer:
10x+30
Step-by-step explanation:
Distributive property is distributing what is in the parentheses.
To do that on this problem you have multiply each of these numbers by 10!
10 times x is 10x
10 times 3 is 30
Put them back together and you get 10x+30!
I hope this helps, and have a great day! :)
P.S. If you need a better explanation I can help. I just didn't want to make this to long. :D
Which amount is greater, 5 feet or 2 yards?
Answer:
2 yards is greater then 5 feet
Step-by-step explanation:
A yard is 3 feet, 3+3=6 I hope this helps!
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55?
The selling price should be $88
Given that,
The markup percentage is 60% and the wholesale cost is $55.calculation:= $55 + (60% of $55)
= $55 + $33
= $88
Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
Answer:
88
Step-by-step explanation:
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
Which expression shows another way to write 36+16?
4(9)+4
4(9+4)
6(6+8)
(6+4)(6+4)
Answer:
36+16= 52
4(9)+4= 40, which does not equal 52.
4(9+4) = 52.
6(6+8) = 84, which does not equal 52.
(6+4)(6+4) = 100, which does not equal 52.
So, 4(9+4) is correct.
Let me know if this helps!
What is the product of 3.6 x 4.2
Answer:
15. 12
Step-by-step explanation:
just multiply them
21< -4+5x Hurry I need it
You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
(h,k)
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y -k)² = r²
(x+ 3)² + (y + 9)² = 144
(x+ 3)² + (y + 9)² = 12²
h = -3 ; k = -9
it takes 15 cups of water to fill 1/3 bucket. How much water is needed to fill 1 bucket?
Answer:
45 cups
Step-by-step explanation: