If g(x) = 3x2 – 3x + 2. find g(2)
Answers
We want to find g(2) if
\(g(x)=3x^2-3x+2\)In other words, we must find the value of the equation when x = 2.
STEP 1
In order to do that we just replace all the x by 2:
\(\begin{gathered} g(x)=3x^2-3x+2 \\ \downarrow\text{ when x=2} \\ g(2)=3\cdot2^2-3\cdot2+2 \end{gathered}\)STEP 2
Now, we just solve the operation:
\(\begin{gathered} g(2)=3\cdot2^2-3\cdot2+2 \\ \downarrow\text{ since }3\cdot2^2=3\cdot2\cdot2=12\text{ and }3\cdot2=6 \\ g(2)=12-6+2 \\ g(2)=8 \end{gathered}\)Answer: g(2) = 8
Related Questions
If a firm’s total fixed costs are $11,639, total revenues are $28,200, and profit is $4,776, what must the firm’s total variable cost be?
Answers
Answer:
Step-by-step explanation:
Find the 13th term of the geometric sequence 3 -15 75
Answers
Answer:
732,421,875
Step-by-step explanation:
You have to find the pattern which in this case is just multiplying by 5 every absolute number. the negatives are only every other one. from knowing this you just have to find all the numbers until 13 and the 13th term in this sequence is 732,421,875
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
Answers
What is the answer ro 25/4 - 8/3
Answers
The value of the fraction given as 25/4 - 8/3 is 3 7/12
What is a fraction?A fraction simply means part of a whole number. It should be noted that it has a numerator and a denominator.
In this case, the solution to the fraction will be:
= 25/4 - 8/3
= 6 1/4 - 2 2/3
= 6 3/12 - 2 8/12
= 3 7/12
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
6. The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent. :))))
Answers
Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.
Fixed costs: $34,000
Variable costs per widget: $5.00
Total costs = Fixed costs + (Variable costs per widget × Number of widgets)
Total costs = $34,000 + ($5.00 × 7,000)
Total costs = $34,000 + $35,000
Total costs = $69,000
Average cost per widget = Total costs / Number of widgets
Average cost per widget = $69,000 / 7,000
Average cost per widget ≈ $9.86
Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.
Step-by-step explanation: :)
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
Answers
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
Learn more about line chart click;
https://brainly.com/question/29359235
#SPJ1
Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.
Answers
Answer: Jen is wrong about her classification.
Step-by-step explanation:
First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.
So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.
The Jen classifies the number 4.567 as an irrational number is false.
It is required to find the number is rational and irrational numbers.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given :
Jen's argument
We have
4.567 as an irrational number
The above claim is false because
4.567 =
4567/1000
When we divide the above number in the form of p/q and q≠0 then then number is rational number.
Therefore, the Jen classifies the number 4.567 as an irrational number is false.
Learn more about real number here:
brainly.com/question/17284573
#SPJ2
Help quick pleaseeee
Answers
(-5+2)^2 equals what
Answers
Answer:
-3² = 9
Step-by-step explanation:
Always remember to use:
P
E
M
D
A
S
what’s 63.55+31.99+2
Answers
Answer:97.54
Step-by-step explanation:
Answer:
97.54
Step-by-step explanation:
1 1
63.55
31.99
+ 2.00
________
97.54
HELP HELP PLEASE!!
Seth owns a printing shop that makes customized T-shirts. The cost to make a T-shirt is
$4. There is a one-time $10 design fee. How many shirts can be made with a budget of
$170. Set up an equation and solve for the number of shirts that can be made.
Answers
Answer:
40 shirts.
Step-by-step explanation:
The budget is $170.
There's a one time fee of $10.
A T-shirt costs $4.
Put that in an equation with x, where x is the amount of t-shirts that can be made, to solve for it.
170 - (4x + 10) = 0
170 = 4x + 10
-10
160 = 4x
/4
40 = x
So, 40 shirts can be made at most.
Prove that the only automorphism of a well-ordered set is the identity?
Answers
The only automorphism of a well-ordered set is the identity.
To prove this statement, we need to show that any automorphism of a well-ordered set must be the identity function. An automorphism is a bijective function that preserves the order structure of the set.
Assume we have a well-ordered set (W, ≤), where W is the set and ≤ is the order relation.
Let f: W → W be an automorphism of the set.
We aim to prove that f is the identity function, i.e., f(x) = x for all x ∈ W.
Suppose, for contradiction, that there exists an element a ∈ W such that f(a) ≠ a.
Since f is a bijective function, there must exist some b ∈ W such that f(b) = a.
Since (W, ≤) is well-ordered, there is a least element c in the set {x ∈ W : f(x) ≠ x}.
Let d = f(c). Since f is an automorphism, f(c) ≠ c, and thus d ≠ c.
Since (W, ≤) is well-ordered, there is a least element e in the set {x ∈ W : f(x) = d}.
Consider the element f(e). Since f is a bijective function, there must exist some f^{-1}(f(e)) = e' ∈ W such that f(e') = f(e) = d.
By the definition of automorphism, f(f^{-1}(y)) = y for all y ∈ W. Applying this property to e', we have f(f^{-1}(f(e'))) = f(e') = d.
However, f^{-1}(f(e')) = e' ≠ c, and thus f(e') ≠ d. This contradicts the fact that e is the least element in the set {x ∈ W : f(x) = d}.
Therefore, our assumption that there exists an element a such that f(a) ≠ a is false.
Since we assumed f(a) ≠ a for arbitrary a ∈ W, it follows that f(x) = x for all x ∈ W.
Hence, the only automorphism of a well-ordered set is the identity function.
Therefore, we have proven that the only automorphism of a well-ordered set is the identity function.
For more such questions on automorphism, click on:
https://brainly.com/question/30894112
#SPJ8
If there are initially 5000 bacteria in a culture, and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 5000(3)^t. How long will it take the culture to grow to 80,000? Round to the nearest tenths.
Answers
Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria
The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.
This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000
Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.
However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4
Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.
To learn more about : hours
https://brainly.com/question/14628994
#SPJ8
Select the inequality that models the problem. The sum of two consecutive odd integers is at least 84. Find the least possible pair of integers. Responses n + n + 1 ≥ 84 n + n + 1 ≥ 84 n + n + 1 > 84 n + n + 1 > 84 n + n + 2 > 84 n + n + 2 > 84 n + n + 2 ≥ 84
Answers
The inequality that models the problem is n + n + 1 ≥ 84. This means that the least possible pair of integers that would make the equation true is n = 41 and n + 1 = 42.
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
Represent 2x + 3y = 6 by a graph. Write the coordinates of the point where it meets: (a) x-axis
Answers
The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.
To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation, we isolate y to one side:
3y = -2x + 6
y = (-2/3)x + 2
Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).
To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.
Setting y = 0 in the equation, we have:
0 = (-2/3)x + 2
(-2/3)x = -2
x = (-2)(-3/2) = 3
Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.
To more on Graph:
https://brainly.com/question/19040584
#SPJ8
In a class test containing 15 questions 4 marks are given for every correct answer and (-1) marks are given for every incorrect answer. i) Gokul attempts all questions but only 6 of his answers are correct. What is his total score? ii) Neena gets 12 of her answers correct. What will be her score?
WITH STEP BY STEP EXPLANATION.
Answers
Answer:
i.24
Ii.48
Step-by-step explanation:
if Gokul gets 6 correct and each answer is 4 marks it becomes
4×6=24
and same for neena
12×4=48
2. There are 12 high schools competing in a basketball tournament. In how many ways can the teams be placed
(1º, 2nd, .., 12th) at the end of the tournament?
Answers
Answer:
The teams can be placed in 479,001,600 ways.
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
\(A_{x} = x!\)
In this question:
12 teams, so arrangment of 12 elements.
\(A_{12} = 12! = 479001600\)
The teams can be placed in 479,001,600 ways.
Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.
Answers
Answer:
Step-by-step explanation:
"4 units away from point S(-1.5, -2.5)" sounds like a circle with center (-1.5, -2.5) and radius 4:
(x + 1.5)^2 + (y +2.5)^2 = 4^2, or 16
If the desired point is in Q IV, we choose an x - value greater than 0 and calculate the corresponding y-value. If we choose x = 1 then
(1 + 1.5)^2 + (y +2.5)^2 = 16
which becomes
2.5^2 + (y +2.5)^2 = 16
And so:
6.25 + (y +2.5)^2 = 16, OR
(y +2.5)^2 = 9.75, OR
y + 2.5 = √9.75 = 3.122
Solving for y, we get 0.6224
and so the desired point is (1, 0.6224). (Unfortunately, this is not in QIV, but rather in QI.)
en una escuela por cada 5 estudiantes hombres hay 13 estudiantes mujeres si en total de los estudiantes es de 34,000 ¿cuántos hombre y mujeres hay ?
Answers
There are 9444 men and 24555 females are present.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total students = 34000
For every 5 male students there are 13 female students.
So, the number men are
= 5/18 x 34000
= 9444
and, number of women
= 13/ 18 x 34000
= 24, 555.
learn learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ9
The question attached here is in other language whose translation is given below.
In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?
The Unit Circle
What is the domain of a sine function?
a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero
Please select the best answer from the choices provided
Answers
Answer:
B. All real numbers
Step-by-step explanation:
I calculated it logically
Answer:
I believe it is all real numbers
A weather station records the morning low temperature as −6.1°F and the afternoon high temperature as 10.5°F.
Which expression represents the total temperature change, in degrees Fahrenheit, from the morning low to the afternoon high?
Answers
Answer:
10.5−(−6.1)
*ZoneZFaze UwU on YT*
James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
Answers
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
10. Choose Yes or No to tell if the fraction
will make each equation true.
Giving brainlest
Answers
no
no
no
there u go :)
Convert 0.00001 to a power of 10
Answers
Answer:
1 * 10 ^ -7
Step-by-step explanation:
Please help me with this answer
Answers
Answer: I believe it is c 4
Step-by-step explanation:
but im not sure
The average score on the Stats midterm was 71 points with a standard deviation of 4 points, and Joseph's z-score
was -2. How many points did he score?
Answers
The points scored by Joseph is 63.
The points scored can be calculated using the formula
Z = (X - μ)/σ
We need to rearrange this equation, in order to find the value of x
Thus,
X - μ = Zσ
X = Zσ + μ
Where Z-score is given as -2
μ is an average score which is given as 71
σ is the standard deviation which is given as 4
By substituting these values, we get
X = (-2)(4) +71
X = -8 + 71
X = 63
Therefore, the points scored by Joseph is 63.
Learn more about the normal distribution in
https://brainly.com/question/13740104
#SPJ9
Please help me Brainliest if correct Question 10 of 10
Evaluate: 3-3=
A. 1/9
B. -27
C. -9
D. 1/27
Answers
Answer:
\(\frac{1}{27}\)
Step-by-step explanation:
Remember that negative exponents just mean reciprocal.
So:
\(3^{-3} = \frac{1}{3^{3}} = \frac{1}{27}\)
Answer:
D. 1/27
Step-by-step explanation:
1. \(3^-^3\) is equivalent to \(\frac{1}{3*3*3}\)
\(\frac{1}{3*3*3} = \frac{1}{9*3}\) \(\frac{1}{9*3} = \frac{1}{27}\)Therefore, the answer is D. 1/27.
A sightseeing company charges $16.75 for a scooter rental, plus an additional $5.50 per hour that the scooter is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $30.50.
How long was the scooter rented?
Enter your answer in the box.
Answers
Answer:
2.5 hours
Step-by-step explanation:
The cost of the rental - the scooter rental = 30.50 - 16.75, which equals 13.75.
Divide the additional per hour by that number.
13.75 / 5.5 = 2.5
Therefore, the scooter was rented for 2.5 hours.
Answer:
2.5
Step-by-step explanation:
13.75 / 5.5 = 2.5