Evaluate ( f g )(x) if f(x) = 3x2 + 3 and g(x) = 3x – 1 when x = 2.
Answer:
[tex](fg)(x) = 75[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^2 + 3[/tex]
[tex]g(x) = 3x - 1[/tex]
Required
Evaluate (fg)(x) for x = 2
In algebra functions
[tex](fg)(x) = f(x) * g(x)[/tex]
Substitute values for f(x) and g(x)
[tex](fg)(x) = (3x^2 + 3) * (3x - 1)[/tex]
Substitute 2 for x
[tex](fg)(x) = (3*2^2 + 3) * (3*2 - 1)[/tex]
[tex](fg)(x) = (3*4 + 3) * (6 - 1)[/tex]
[tex](fg)(x) = (12 + 3) * (5)[/tex]
[tex](fg)(x) = (15) * (5)[/tex]
[tex](fg)(x) = 15 * 5[/tex]
[tex](fg)(x) = 75[/tex]
Work out the area of a rectangle with base, b = 5.5mm and
height, h = 2mm.
Answer:
area is 11 mm squared
Step-by-step explanation:
A=bh
A=5.5*2
A=11 mm squared
Suppose the income tax rate is 5%. Determine the amount of money
remaining after paying income tax on $85,000?
Answer:
$80750
Step-by-step explanation:
85k is what you have. Tax rate is 5%
85000*5/100=tax income
which equals to 4250
the remaining money is only 85000-4250=80750
An archaeologist descends 20 feet into a canyon, then climbs up 12 feet. which value represents her final position? -32 feet, -12 feet, -8 feet or 8 feet
Answer:
-8 feet
Step-by-step explanation:
They descended 20 feet so it is -20 and then goes back up 12 feet to make it -8 feet
Answer:
-8 feet
Step-by-step explanation:
She descends 20 feet, meaning -20 feet.
She climbs up 12 feet, meaning -20 + 12 = -8
I hope this helped, please mark Brainliest, thank you !!
Jse the zero product property to find the solutions to the equation x2 - X-6 = 0.
O x=-3 or x=-2
O x= -3 or x= 2
O x=-2 or x= 3
O x=2 or x= 3
I NEED HELP ASAP!!!!!! 50 points if you actually answer it
The following diagram models a ratio relationship.
A. Write a part-to-part ratio to represent this ratio relationship.
B. Use ratio language to describe this ratio relationship.
The part-to-part ratio to represent this ratio relationship is 1:0.75.
The ratio language to describe this ratio relationship shows that for every four squares, there are three triangles.
How to illustrate the information?Based on the information given, it should be noted that the part-to-part ratio to represent this ratio relationship is 1:0.75.
This illustrates that for every one square, there is 0.75 triangle.
This was based on the fact that there are 3 triangles and 4 squares. This will be:
= 3/4 = 0.75
Therefore, the ratio language to describe this ratio relationship shows that for every four squares, there are three triangles.
Learn more about ratio on:
brainly.com/question/2328454
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In a recent year, the mean number of strokes per hole for a famous golfer was approximately 3.9.(a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is σ2=μ.(b) How likely is this golfer to play an 18-hole round and have more than 72 strokes?
Answer:
Variance = 3.9
Standard deviation = 1.975
p(x > 72) = 0.38482
Step-by-step explanation:
Given that :
Mean number (μ) of strokes per hole is approximately 3.9
For a poisson distribution :
σ² = μ
Hence,
Variance (σ²) = μ = 3.9
The standard deviation σ = √(σ²)
σ = √3.9 = 1.9748417
Poisson distribution relation :
p( x = x) = (λ^x * e^-λ) / x!
For an 18-hole round :
λ = 18 * 3.9 = 70.2
Using the poisson distribution calculator ; where λ = 70.2 ; x = 72
p(x > 72) = 0.38482
4x+7=23. explain the steps you would use to solve the equation for x.
Answer:
x=4
Step-by-step explanation:
1. isolate the variable by subtracting 7 on both sides: 4x=23-7
2. simplify: 4x=16
3. divide both sides by 4: x=16/4
4. simplify: x=4
Answer:
x=4
Step-by-step explanation:
4x+7=23
Collect like terms
4x=23-7
4x=16
Divide both sides by the co-efficient of x
4x/4=16/4
x=4
I really need help with this math problems
Answer:
what do you help with???
graphing it or....
Step-by-step explanation:
Whats the anser to this please help out
Answer:
The answer is B
Step-by-step explanation:
At the MOA, 2 shakes and 3 hamburgers cost $17.00. If you order 3 shakes and 4 hamburgers the cost will be $24.00. What is the cost of each item? Answer quick plz
Answer:
Step-by-step explanation:
Let shakes be s and hamburgers be h. Then the total cost equation would be
2s + 3h = 17
The next equation in our system will be
3s + 4h = 24
You can solve this by either substitution or elimination. I'm going with substitution because it's easier in this platform to do so. I'm going to solve the second equation for h.
4h = 24 - 3s and
h = 6 - .75s
Now we will sub that into the first equation to get
2s + 3(6 - .75s) = 17 and
2s + 18 - 2.25s = 17 and
-.25s = -1 and
s = 4
That means that shakes cost $4 each. Now plug in 4 for s and solve for h:
h = 6 - .75(4) and
h = 6 - 3 so
h = 3 so hamburgers cost $3 each.
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
you can eat candy for 25 days
Step-by-step explanation:
please answer as fast as possible see the image below
Answer:
204.2 units
Step-by-step explanation:
Area of semicircle: 1/2(πr^2)
r = 5
1/2(π(5)^2)
94.2477796
Area of Rectangle: w * l
l = 11
w = 5(2)
11 * 5(2) = 11 * 10 = 110
Total:
110 + 94.2 = 204.2 units
Answer:
149.3Step-by-step explanation:
total area = rectangle + semicircle
= (11 x 10) + (1/2 x π 5²)
= 110 + 39.27
= 149.3
The balance in a checking account is $68 if 240 is deposit it find the new balance
Answer:
$308
Step-by-step explanation:
There are 35 beverages on the table if the ratio of beverages is 3:2 coffee to tea how many cups of coffee are there in total
Answer:
21 cups of coffee
Step-by-step explanation:
So the coffee:tea is 3:2. We can put it as 3x+2x=35 as we know there are 35 drinks, do not know the exact number of coffee and tea, but know the ratio.
3x+2x=353x+2x=35 Combine like terms, 5x=35Divide by 5 to isolate variable, x=7Now, x=7. So coffee is 3(7)=21 and tea is 2(7)=14.
The annual profit P(t) of the Enviro Company, in thousands of dollars, is
given by
P(t) = 2+3 – 152++ 3400t + 30
where t is the number of years since 1960, the first year that the company
showed a profit.
Fill in the blanks below. All answers should be rounded to the nearest dollar.
Do not use commas in your solution.
The profit in 1960 was____ dollars.
Answer:
The profit in 1960 (i.e. year 1) was 3280 dollars
Step-by-step explanation:
Given
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
Where
t = years since 1960 (the first year)
Required
Determine the profit in 1960
Since the first year is 1960, then [tex]t =1[/tex]
To get the profit, we simply substitute 1 for t in [tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex] becomes
[tex]P(1) = 2(1)^3 - 152(1)^2 + 3400(1) + 30[/tex]
[tex]P(1) = 2*1 - 152*1 + 3400*1 + 30[/tex]
[tex]P(1) = 2- 152 + 3400 + 30[/tex]
[tex]P(1) = 3280[/tex]
Hence, the profit in 1960 (i.e. year 1) was 3280 dollars
What is the equation of the line that is perpendicular to the line y=-2x+10 and passes through the point (-8,12)?
Answer:
y=1/2x+16
Step-by-step explanation:
m= -2, mperpendicular = -1/2
y-12=1/2 * (x+8)
y=mx+b form
y = 1/2x+16
What is the distance from -5 to 0?
A. 0, because |5| = 0
B. -5, because |-5| = -5
C. 5, because |-5| = -5
D. 5, because |-5| = 5
Answer:
D
Step-by-step explanation:
Answer:
D. 5, because |-5| = 5
Step-by-step explanation:
5/12 divided by 2 pls help asap
Answer:
I am pretty sure it's 0.2
Answer:
5/24
Step-by-step explanation:
To find 5/12 divided by 2, we do keep change and flip
Therefore we keep 5/12 change the division sign and flip the 2
We will get
5/12 * 1/2, this would give us 5/24
Of a box of paper clips, 2/3 are red and the rest are green. If there are 120 red paper clips, how many green paper clips are there.
Answer:
There are 60 green paper clips.
Step-by-step explanation:
if 2/3 of the box = 120 clips, then you can determine that 1/3 is 60, since 1/3 is half of 2/3. If 1/3 is 60, Since you already know that 2/3 is 120 clips, you add 60 to get 180 total clips, and 60 of them are green.
Answer:
60 Green Paper Clips
Step-by-step explanation:
120/2 = 60 (which would be 1/3)
PLEASE HELP Brenda and darry each improved their yards by planting rosebushes and geraniums they bought their supplies from the same store Brenda spend $92 on 6 rose bushes and 4 geraniums darry spent $82 on 5 rose bushes and 4 geraniums what is the cost of one rose brush and the cost of the geraniums?
(Who ever helps me gets brainliest!! :) )
What is 4 x 3/8 ?
write at least two sentences to support your answer :)
Answer: 1.5
Explanation: I'm sorry, I can't rlly get into to much details bc i have an assignment thats do in a couple of minutes but hopefully this helps!
Answer:
4/3, or 1 1/3
Step-by-step explanation:
For a whole number, 1 is always the denominator. It would look like 4/1 x 3/8. Then you would multiply both the numerators and denominators. That would get you 12/8. Simplify it, to get 4/3. If you want to simplify it even more, you would get 1 1/3.
What would be the coordinates for y= 3 - 1/2 x
Answer:
2,-4
Step-by-step explanation:
renting paddle boats for Lakeshore paddle boats costs $10 per hour plus a one-time fee of $4 renting paddle boats from Lake paddle are cost $12 per hour with no one time fee the cost to to arrange a paddle boats or depends on the number of hours rented which inequality represents the situation when the total cost at Lakeshore paddle boats is less than the total cost of wake paddler? asap please, thank you
Answer:
More than 2 hoursStep-by-step explanation:
Let number of hours be x
Lakeshore paddle cost:
10x + 4Lake paddle cost:
12xRequired inequality:
10x + 4 < 12x12x - 10x > 42x > 4x > 2Lakeshore paddle costs less when time of rent is greater than 2 hours
Solve for the indicated variable.
q = c4(h + r) for r
Select one:
a. r = 4cq - h
b. r = q4c - h
c. r = 4q−hc
d. r = 4qc - h
Answer:
Option (c) "[tex]r=\dfrac{q}{4c}-h[/tex]"
Step-by-step explanation:
The given equation is :
q = c4(h + r)
We need to solve it for r.
Dividing both sides of the given equation by 4c.
[tex]\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}[/tex]
Now, subtract h both sides of the equation.
[tex]h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h[/tex]
Hence, this is the required solution.
Can somebody help me answer this mathematics question? I'm in precalculus, and this is the last homework question, but I am stumped. I tried asking on Quora, but I got an unclear answer and one that accused me of cheating because I asked. I could not understand the teacher's or the book's explanation on how to solve this problem.
"The cost of sending mail is $0.37 for a letter weighing less than 1 ounce, $0.60 for a letter weighing at least one ounce, but less than 2 ounces, and $0.83 for a letter weighing at least 2 ounces, but less than 3 ounces."
Write a function c(x) that gives the cost of mailing a letter weighing x ounces.
Answer:
Step-by-step explanation:
this is a piecewise function
in this context, to find the cost of any package weight x you figure out which piece of the function it fits in.
examples:
x = .5
c(x) = 0.37 (because x is less than 1)
x = 1
c(x) = 0.60 (because x is equal to 1 but still less than 2)
x = 2.9
c(x) = 0.83 (because x is more than 2 but less than 3)
How many significant digits are there in the measurement 84,000 kg
Answer:
[tex]\boxed {\boxed {\sf 2 \ significant \ figures}}[/tex]
Step-by-step explanation:
According to the "rules" of significant figures, all the zeroes to the right of the final non-zero number are not significant, unless there is a decimal point.
We are given the measurement:
84,000 kg
If there was a decimal point (84,000.0 kg), then there would be 5 significant figures.
Since there isn't a decimal point, all 3 zeroes to the right of the number 4 aren't significant. The 8 and 4 are significant, so there are 2 significant figures.
There are 3 1/2 pounds of bricks in a bag. Each brick weighs 1/2 of a pound. How many bricks are in the bag?
Answer:
i dont think i have the facilities to do that honestly
Step-by-step explanation:
13 point worth question :) help me out
Answer:
3 2/3
Step-by-step explanation:
There are 3 wholes and 2/3 of a circle is filled.
Aaron mowed 7 lawns in 4 hours. At that rate, how long will it take him to mow 21 lawns?
Answer:
12 hours
Step-by-step explanation:
So, 7 times 3 is 21. This means he have to multiply 4 by 3 to get 12.