Final answer:
To find (f - g)(x), subtract the function g(x) from f(x) by expanding and combining like terms.
Explanation:
To find (f - g)(x), we need to subtract the function g(x) from f(x). The given functions are f(x) = 3x + 10x and g(x) = 2x - 4. Let's subtract g(x) from f(x):
(f - g)(x) = (3x + 10x) - (2x - 4)
Expanding the expression, we get:
(f - g)(x) = 3x + 10x - 2x + 4
Combining like terms, we simplify it to:
(f - g)(x) = 11x + 4
The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Write an expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.
Answer:
$0.80x + $1.25y = z
Step-by-step explanation:
the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
The total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
The baker pays $0.80 per pound for sugar
The baker pays $1.25 per pound for butter.
We need to write expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.
Let x be the pounds for sugar
x be the pounds for butter
20x+6y=Total
As x=0.80 and y=1.25
20(0.80)+6(1.25)
16+7.5
23.5
Hence, the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
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A local hamburger shop sold a combined total of 646 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
646-54 = 592
592/2 = 296
296+54 = 350
350+296 = 646
there were 350 hamburgers and 296 cheeseburgers sold
(Picture) please help asap!
0 to 1 is broken down into 9 equal spaces
the dot is on the 5th line
so it would be 5/9
Julia and Sam rode their bikes on the bike path. Julia rode her bike 3/10 of the path's distance. Sam rode his bike 4/8 of the path's distance. Compare the distances using <,>, or =.
I draw a card 50 times from a standard 52 deck and gets a heart 8 times what's the probability that I draw a heart on the next draw
To solve this problem, let us first define what probability is. By standard definition, probability is the ratio of how many times a selected event occurred over the total number of events which occurred. Hence:
Probability = number of times a selected event occurred / total number of events
In this case, our selected event is the drawing of a heart which occurred 8 times. While our total event is the total number of drawing of cards which occurred 50 times. Hence, the probability is:
Probability = 8 / 50
Probability = 4 / 25 = 0.16 = 16%
Therefore there is a 4/25 or 0.16 or 16% chance that the next draw will be a heart.
A rectangular tabletop has a length of 4 3/4 feet and an area of 11 7/8 square feet. What is the width of the table top?
Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?
Answer: $6554.52
Step-by-step explanation:
Total number of shares bought by Carmen =153
A constant yearly dividend paid by each share=$7.14
Thus, 153 shares pays yearly dividend =[tex]153\times7.14=\$1092.42[/tex]
After 6 years, total dividend received by Carmen=[tex]6\times1092.42=\$6,554.52[/tex]
Hence, The total dividend received by Carmen in 6 years = $6554.52
what is 7a + 10 = 2a
How do you do solve this question?
some kids like to ride their bikes to and from school let d be the distance in miles from a kid home to school write 2 expression to represent how far a kid travel by bike in 4 weeks
what rate is equivalent to 72/9
The term that describes how long it takes a function to repeat its behavior is the _____
7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9
Hello,
The correct answer is A) m < 9
Hope this helps!!!! Happy Holidays!!!! (:
This sequence represents the diameters of circles used to create an art project: 2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm Let f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?
Answer:
[tex]f(n) = 1.9 +0.6n[/tex]
Step-by-step explanation:
The nth term of the arithmetic sequence is given by:
[tex]a_n = a_1+(n-1)d[/tex] ....[1]
where
[tex]a_1[/tex] is the first term
d is the common difference and n is the number of terms.
Here, f(n) represent diameter in centimeters and n the term number in the sequence.
Given the sequence represents the diameters of circles used to create an art project:
2.5 cm, 3.1 cm, 3.7 cm , 4.3 cm
This sequence is an arithmetic sequence with
[tex]a_1[/tex] = 2.5 and d = 0.6
Since,
3.1-2.5 = 0.6,
3.7-3.1 = 0.6
4.3-3.7 = 0.6
Substitute the given values in [1] we have;
[tex]f(n) =2.5+(n-1)(0.6)[/tex]
Using distributive property, [tex]a\cdot (b+c) = a \cdot b+ a\cdot c[/tex]we have;
[tex]f(n) = 2.5+0.6n-0.6[/tex]
Simplify:
[tex]f(n) = 1.9 +0.6n[/tex]
Therefore, the equation represents the sequence of diameters is, [tex]f(n) = 1.9 +0.6n[/tex]
What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?
On her math quiz, Sandra lost 8 points for incorrect answers, but she gained 5 points for a bonus question. What is the sum of the points Sandra lost and gained?
The whole is 8. One part is 8. What is the other part? Tell how you know.
What is p−m ⋅ pn equal to?
The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?
What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)
Please help!
The number line below represents which combined inequality?
number line with a closed circle on negative 2, shading to the left and a closed circle on 4, shading to the right
x greater than or equal to −2 or x less than or equal to 4
x greater than or equal to −2 and x less than or equal to 4
x less than or equal to −2 or x greater than or equal to 4
x less than or equal to −2 and x greater than or equal to 4
Answer:
C
Step-by-step explanation:
I just did it on edge 2021 :)
PLEASE HELP!! 20 POINTS <33
True or False? The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line. It's false right?
Answer:
False
The correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .
Step-by-step explanation:
The formula for the point slope form passing through the point (a,b) is given by.
[tex](y-b)=m (x-a)[/tex]
Where m is the slope .
As given in the question.
m is the slope and (x1, y1) is a point on the line.
Thus the point slope form becomes
[tex](y-y1)=m (x-x1)[/tex]
Therefore the correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .
A flooring company ships 13x13 inch tile in boxes of 11 tiles each, on pallets containing 40 boxes (Check Work Required. Please Help)
A) How many square feet does each box contain?
B) How many square feet will a pallet of tile cover?
one of the comers of a cube is sliced off the resulting cross section will have a minimum of ? Sides ?
a corner of a cube connects 3 sides to each other,
then add the side of the cut
so it would have 4 sides
Seth is trying to find the unit price for a package of blank discs on sale at 10 for 5.49, his answer was $1.82 per disc is he correct?
Find the greatest number
0.9,0.91,9/10
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot
The height of the building from the top of the ladder is 12.6 ft
The situation forms a right angle triangle.
Right angle triangle:A right angle triangle is a triangle that has one of its sides as 90 degrees.
Therefore,
The length of the ladder is the hypotenuse side.
The bottom of the ladder distance from the base of the building is the adjacent side of the triangle. Therefore,
The height of the building from the top of the ladder is the opposite sides. Therefore, using Pythagoras theorem.
c² = a² + b²
14² - 6² = b²
b² = 196 - 36
b² = 160
b = √160
b = 12.6491106407
b = 12.6 ft
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Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair solutions to y = 2x} Which ordered pair satisfies A ∩ B?
Answer:
(0,0)
Step-by-step explanation:
We have,
U = { (x,y) : x,y belong to real numbers }
A = { (x,y) : (x,y) is a solution of y=x }
B = { (x,y) : (x,y) is a solution of y=2x }
We need to find the ordered pair (x,y) that belong to A[tex]\bigcap[/tex]B.
Let, (x,y) belong to A[tex]\bigcap[/tex]B
i.e. (x,y) belong to A and (x,y) belong to B
i.e. y = x and y = 2x
i.e. x = 2x
i.e. x = 0
Now, substitute x= 0 in any of the equation say y = x, we get y = 0.
Hence, the ordered pair satisfying A[tex]\bigcap[/tex]B is (0,0).
For a set U, The ordered pair satisfies A ∩ B is mathematically given as
x = 0, y = 0 (0,0)
Which ordered pair satisfies A ∩ B?Question Parameter(s):
U = {ordered pairs on a coordinate plane}
A = {ordered pair solutions to y = x}
B = {ordered pair solutions to y = 2x}
if (x,y) belongs to AnB
y = x and y = 2x
x = 0
In conclusion, subsituting we have
y = x and y = 2x
y = 0
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How to solve: (looking for b)
y =mx+b