If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
A. (f- g)(x) = -7x - 3
B. (f- g)(x) = x - 3
C. (f - g)(x) = -7x + 3
D. (f- g)(x) = x - 7
Answer:
A. (f-g)(x) = -7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
= -3x -5 -4x +2
= -3x -4x -5 +2
(f -g)(x) = -7x -3
Martin filled the pool with 54000 gallons of water.
He paid £2.38 for each 1000 gallons of water.
Work out the total amount he paid for 54 000 gallons of water.
Answer:
£128.52
Step by step:
54,000 ÷ 1,000 = 54
54 * £2.38 = £128.52
Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
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Find the diameter of a circle whose Circumfrence is 66 m
Answer:
21.00845
Step-by-step explanation:
πD = 66m
D = 66x 7/22
D = 21m is your answer brainlist me plz
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
PLEASE HELP ME GUYS!!
this is your answer hope it's helpful for you
can someone help me do this and show work
Answer:
Bank A: 24 years, Bank B: 28 years
Step-by-step explanation:
can someone help me with this
Answer:
equation: (4x +8)° = (2x +3)° +51°exterior angle: 100°Step-by-step explanation:
The relevant relation is "the exterior angle is equal to the sum of the remote interior angles." That means ...
(4x +8)° = (2x +3)° +51° . . . equation to solve for x
2x = 46 . . . . . . . . . . . . . divide by °, subtract 8+2x
x = 23 . . . . . . . . . . . . divide by 2
Then the exterior angle is ...
(4x +8)° = (4(23) +8)° = 100°
_____
Additional comment
Instead of solving for x, we can solve for (2x+3). We can do that by subtracting 5+2x from both sides to get 2x+3 = 49. Then the exterior angle is the sum 49+51 = 100 degrees. (We don't actually care about the value of x.)
HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.
Answer:
It will take at least 45 cars
Step-by-step explanation:
so to start subtract 240 from 600
you get 360 then divide 8
this leaves you with 45
A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?
$4.55
$5.93
$6.25
$6.35
Answer:
5.93
Step-by-step explanation:
6 x 9.45 = 56.7
10 x 6.95 = 69.5
14 x 5.50 = 77
9 x 3.10 = 27.9
56.7 + 69.5 + 77 + 27.9 = 231.1
6 + 10 + 14 + 9 = 39
231.1 / 39 = 5.925 = 5.93
Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
account. How much will she need to save weekly to meet her goal?
Answer:
She will still need about 450$
Step-by-step explanation:
So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.
i will make you brainliest
[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]
[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]
Consider these functions:
х
g(x)
h(x)
0
0 0
NO
6
What is the value of x when gh(x)) = 4?
O A 0
OB. 2
OC. 4
OD 5
c. What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.
Step-by-step explanation: Happy to help :D
Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.
Answer:
it's d
.
hope I helped! I need to write more words so I can send this
Answer:
The answer is A
Step-by-step explanation:
|6x + 3| = 27
Use the definition of absolute value6x + 3 = 27
6x + 3 = -27
Subtract three from both sides of the equation.6x = 24
6x = -30
Divide both sides by 6.x = 4
x = -5
So:
x = 4, -5
make w the subject of the formula
Answer:
w= [tex]\frac{y+1}{2+a}[/tex]
Step-by-step explanation:
y-aw=2w-1
y+1=2w+aw
y+1=w(2+a)
[tex]\frac{y+1}{2+a}[/tex]=w
A geodesic dome has a hexagonal floor. If the diagonal of the floor is to be 24ft. 8in., what is the distance around the floor?
Answer:
e
Step-by-step explanation:
e
true or false Canada's indigenous people originally came from Asia
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
so tell me how many assignments are you missing?
I have like 27 missing assignments
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
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When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won
2
games for every 3 that she has lost. If Brianna has won 18 games, how many games has she played in all?
games
Help help help math nath
Answer:
12
Step-by-step explanation:
plug in -7 where x is
5 - (-7) = 12
Answer:
12
Step-by-step explanation:
plug in -7 where x is
5 - (-7) = 12
It's pretty simple!
I hope this helps you
Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM
Answer:
x=2
Step-by-step explanation:
5x=3x+4
5x-3x=4
2x=4
x=4/2
x=2
All the best for ur exams .........Mine are going on too btw.......
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a discount?
Answer:
$780
Step-by-step explanation:
P = Original Price
P (100% - 10%) = $702
P (90%) = $702
(P (.9)) / .9 = $702 / .9
P = $780
Check answer:
$780 (90%) = $702
A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.
The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
Given, [tex]x[/tex] represent the number of male birds and [tex]y[/tex] represent the number of female birds.
The flock needs to have exactly three times more females than males to thrive.
So, in equation form we have,
[tex]y=3x[/tex]........(1)
Since, The zoo only has room for a maximum of 20 male birds.
So, we can write the inequality for [tex]x[/tex] as,
[tex]0< x\leq 20[/tex]......(2)
Since The maximum number of male birds is 20, so for [tex]x=20[/tex]
y will be,
[tex]y=3\times 20\\[/tex]
[tex]y=60[/tex]
Hence, The maximum number of female birds is 60.
So, we can write the inequality for [tex]y[/tex] as,
[tex]0< y\leq 60[/tex]
Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].
For more details on Inequality follow the link:
https://brainly.com/question/19491153
Answer:d
Step-by-step explanation: did the test
What is 12 times 135?
the answer for 135 times 12 is 1620
Answer:
1620
Step-by-step explanation:
u can time 12 by 135 or divide them
Help help help help math math
Answer:
48 ft 2
Step-by-step explanation:
The radius is 4 ft because it is half of the diameter.
3 * 4^2 = 3 * 16 = 48
The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.
The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
[tex]x^2+9x+14[/tex]
To get the factors, we will factorize the given quadratic function as shown:
[tex]g(x) = x^2+2x+7x+14[/tex]
Group the functions to have;
[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]
Factor out the GCF from both parenthesis:
[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]
Hence the factors of the given model are (x+2) and (x+7)
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Help help help help help
area=108 in. squared
12/2 gives you the radius (6)
6 squared is 36
36 times 3 is 108