Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= (2x² - 9x) + (3x - 2) = 2x² - 6x - 2.
Therefore (f + g)(3) = 2(3)² - 6(3) - 2 = -2.
(f - g)(x) = f(x) - g(x)
= (2x² - 9x) - (3x - 2) = 2x² - 12x + 2.
Therefore (f - g)(-4) = 2(-4)² - 12(-4) + 2 = 82.
(g o f)(x)
= g(2x² - 9x) = 3(2x² - 9x) - 2 = 6x² - 27x -2.
(f o g)(x)
= f(3x - 2) = 2(3x - 2)² - 9(3x - 2) = 18x² - 51x + 26.
Bananas are selling for $0.85 a pound. Milan spent $9.86 on bananas. How many pounds of bananas did Milan buy?
Answer:
11.6 lbs
Step-by-step explanation:
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows.
Color Purple Yellow Red Orange Green Blue Brown
Percentage 17% 18% 17% 7% 6% 10% 25%
Suppose you have a large bag of plain M&M candies and you choose one candy at random.
a. Find P(green candy or blue candy).
b. Are these outcomes mutually exclusive? Why?
Answer:
[tex]P(Green\ candy\ or\ Blue\ candy) = 0.16[/tex]
Yes, they are mutually exclusive
Step-by-step explanation:
Given
Refer to the table in the question
Solving (a): P(green candy or blue candy)
This is calculated as:
[tex]P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)[/tex]
From the question:
[tex]P(Blue) = 10\%[/tex]
[tex]P(Green) = 6\%[/tex]
So:
[tex]P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)[/tex]
[tex]P(Green\ candy\ or\ Blue\ candy) = 6\% + 10\%[/tex]
[tex]P(Green\ candy\ or\ Blue\ candy) = 16\%[/tex]
Convert to decimal
[tex]P(Green\ candy\ or\ Blue\ candy) = 0.16[/tex]
Solving (b): Are they mutually exclusive?
Multiple events A and B are mutually exclusive if;
[tex]P(A\ or\ B) = P(A) + P(B)[/tex]
In (a) above:
[tex]P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)[/tex]
and this is so every other possible colour of candy
e.g.
[tex]P(Red\ or\ Yellow) = P(Red) + P(Yellow)[/tex]
Hence:
The events are mutually exclusive
What is the explicit formula for the geometric sequence: 224, 112, 56, 28, ... .
Answer:
a_n=224(1/2)^n-1
Step-by-step explanation:
In this geometric sequence, we can see that the common ratio is 1/2 and the 1st term is 224. using this information, we can plug it into the geometric series formula and we get a_n=224(1/2)^n-1.
22) Daniel won 55 pieces of gum playing
basketball at his school's game night. Later,
he gave two to each of his friends. He only
has 3 remaining. How many friends does he
have?
Answer:
26 friends
Step-by-step explanation:
Which fraction is closest to zero?
+
0
CLEAR
CHECK
Answer: 1/10000000000000000000000000000000000 and so on.
Step-by-step explanation: The more 0’s, the more the fraction is close to zero. I’m sorry, I can’t actually type the fraction because it might be everlasting. Hope I helped!
(*´꒳`*)
probability question!!!! help please!!!...Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)??
Answer:
4/103
Step-by-step explanation:
2/the average of 52 and 51
2/51.5 or 4/103
Comparing Means
7th Grade
Students in 7th grade took a standardized math test
that they also had taken in 5th grade. The results are
shown on the dot plot, with the most recent data shown
first.
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score
Find and compare the means to the nearest tenth.
7th-grade mean:
5th Grade
5th-grade mean:
What is the relationship between the means?
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score
Answer:
THE RIGHT ANSWER:
16, 13.4, the 7th grade mean is about 2.5 points higher.
Step-by-step explanation:
Mean for 7th Grade Students is: 16
Mean for 5th Grade Students is: 13.4
Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.
What is the Mean of a Data Distribution?The mean is the average of the data set, that is the sum of each data value divided by the number of data points.
The dot plots for 7th and 5th grade is attached below.
Mean for 7th Grade Students:
Mean = [10 + 11 + (2 × 12) + 13 + 14 + (2 × 15) + (3 × 16) + (3 × 17) + (2 × 18) + (2 × 19) + (3 × 20)]/21
Mean = 335/21
Mean = 15.95 = 16
Mean for 5th Grade Students:
Mean = [8 + (2 × 9) + (2 × 10) + (2 × 11) + (2 × 12) + (2 × 13) + 14 + (3 × 15) + (2 × 16) + 17 (2 × 18) + 19
Mean = 281/21
Mean = 13.38 = 13.4
Difference between their means = 16 - 13.4 = 2.6.
In summary:
Mean for 7th Grade Students is: 16
Mean for 5th Grade Students is: 13.4
Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.
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Math question I'm having trouble on: 20 Points.
Answer:
its D
Step-by-step explanation:
two over y is just division.
Answer:
2 divided by some number
Step-by-step explanation:
when you have a fraction like that your dividing
HELP HELP HELP
5TH GRADE MATH
HELP HELP HELP
Answer: it should be 14 or 10
Step-by-step explanation:
Turn 8/6 into a mixed fraction
a is an integer greater than -3 and less than 3?
Which of the answer choices are equations? Select all that apply.
A. 2 + (10 - 3)
B. 6 - x = 1
C. 14+ 5 = 19
D. y+3
An item that regularly sells for a dollars is on sale for 35% off its regular price. Write an expression that shows the price in dollars after the discount.
Answer:
0.65A = X
Step-by-step explanation:
Given that an item that regularly sells for A dollars is on sale for 35% off its regular price, to write an expression that shows the price in dollars after the discount the following equation must be proposed:
100 - 35 = 65
0.65A = Discount price
Therefore, if the regular price were $ 50, this equation would work as follows:
0.65 x 50 = X
32.5 = X
True or False? A triangle cannot have side that are pararell. Explain your thinking
Answer:
True. It would need two interior angles of 90 degrees to have parallel lines. However the interior angles must add up to 180 in order for it to be a triangle therefore it is true.
Step-by-step explanation:
A triangle cannot have side that are parallel is True.
What is Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.No matter how long you make them, parallel lines will never cross one another.
and, A polygon with three sides and three angles is called a triangle.
So, A triangle does not include any parallel lines because of its shape.
Also, We cannot say a triangle is parallel because a side doesn't have an opposite side.
Hence, A triangle cannot have side that are parallel is True.
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You have 23 teaspoons of peppercorn
Need .25 teaspoons to make a serving
how many can you make ?
Answer:
Step-by-step explanation:
yo will make 23/.25= 92 servings
2+3+4+5+6+4+2+1+34+4+4+4+4+5
Answer:
The answer is 82.
Step-by-step explanation:
Just work it through.
Need help will mark Brainliest
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:
[tex]\frac{375}{300} = \frac{x}{200}[/tex]
Now that we have this equation, we can use the butterfly method to solve for x. We cross multiply:
[tex]375*200=300x\\[/tex]
Now, all we have to do is isolate the variable to find x:
[tex]75000=300x\\x=250[/tex]
Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
I hope this helps! Please let me know if you have any further questions :)
Find the midpoint of A and B where A has coordinates (-5, 3)
and B has coordinates (3,-1)
Answer:
(-1, 1)
Step-by-step explanation:
Midpoint formula: (x₁ + x₂/2 , y₁ + y₂/2)
Substitute the values into the formula.
(-5 + 3/2 , 3 - 1/2)
(-2/2 , 2/2)
(-1,1)
Therefore, the midpoint is (-1, 1).
what is the square root of 1345668?
Answer:
~1160.03 rounded to the hundredth
Step-by-step explanation:
Which of the following stamens are true about the graph?
A. The graph has a minimum
B. The graph has a maximum
C. The graph has zeros at -4 and 2.
D. The vertex is located at (-1-9)
E. The graph has a y-intercept of (-4,0) and (2,0)
F. The solution of the quadratic function represented by the graph is (-1,-9).
G. The y-intercept of the graph is (0,8)
3x+2y=9. 3x+y=6
What is x and what is y please help I have no idea what to do-
Step-by-step explanation:
3x + 2y = 9
- (3x + y = 6)
=> y = 3.
Therefore 3x + (3) = 6, 3x = 3, x = 1.
The solutions are x = 1 and y = 3.
what is the unit rate of 56 ounces for every 2 cans
Answer:
26 ounces per can
Step-by-step explanation:
28 is the unit rate of 56 ounces for every 2 cans
What is Division?
A division is a process of splitting a specific amount into equal parts.
A unit rate means a rate for one of something.
We need to find the unit rate of 56 ounces for every 2 cans
To do this we need to divide Fifty six ounces with two.
56/2
Fifty six divided by two.
We get Twenty eight.
Hence 28 is the unit rate of 56 ounces for every 2 cans
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4x+10=x+20 whaT WOULD BE THE ANSWER
Answer: that is impossible
Step-by-step explanation:
You are dealt one card from a 52-card deck find the probability that you are not dealt a card with number from 3 to 9
Answer: conya de frezer ai polla chezt
Step-by-step explanation:
John works in a car dealership selling new and used cars, He is extremely busy during major holidays selling as many cars as possible. The store’s motto is “Work Hard Earn More”. During the last holiday period, John sold $150,000 worth of vehicles. His commission is 15% of the first $100,000 and 10% on the remaining balance. How much commission did he earn on his total sales?
PLZZZ HELP ASAP
Answer:
20,000$
Step-by-step explanation:
15% of 100,000$ is 15,000$
10% of the remaining 50,000$ is 5,000$
Answer:
Hey yes you give brainly to the other person now they answered it even if it's
wrong they still helped thanks Hun hope you pass
Step-by-step explanation:
I WILL GIVE BRAINLYEST
What is the slope of the line passing through the points (2, 5) and (0, -4)?
a 9/2
b2/9
c-9/2
d-2/9
Answer:
c: -9/2
Step-by-step explanation:
to calculate the slope its rise/run so
-9/-2
now that means ur answer is c -9/2
Please solve and show work :( I give brainliest to 1st correct answer
Answer:
Step-by-step explanation:
9.50 ÷ 1 = 9.50
18 ÷ 2 = 9.50
28.50 ÷ 3 = 9.50
38 ÷ 4 = 9.50
47.50 ÷ 5 = 9.50
Direct variation is the relationship between tow variables in which one is a constant multiple of other.
Here, If we take hours worked as 'x' and pay as 'y',
y = 9.50*x
Please help me please !!
Answer:
The answer is C) the starting amount in the account
Step-by-step explanation:
Determine which sets of lengths can form a right triangle.
Right triangle
Yes
No
30, 40, 50
4, 4, 16
48, 55, 73
Submit
Work it out
Answer: 50,40
Step-by-step explanation:
because a right angle is 90 degress
Answer:
Triangle 1 is a right triangle
Triangle 2 is not a right triangle
Triangle 3 is a right triangle
Step-by-step explanation:
Triangle 1: 30^2 + 40^2 = 50^2
900 + 1600 = 2500
2500 = 2500
Triangle 2: 4^2 + 4^2 = 16^2
16 + 16 = 256
32 = 256
Triangle 3: 48^2 + 55^2 = 73^2
2304 + 3025 = 5329
5329 = 5329
what is the answer to 12 - 10=
Answer:
2
Step-by-step explanation:
None
Answer:
the answer is 2
Step-by-step explanation:
No explanation