The simplified form of the given function f(g(x)) as required to be determined in the task content is; f (g(x)) = 3x² -24x + 50.
What is the simplified form of the required nested function?It follows from the task content that the expression which represents f (g(x)) as required in the task content is to be determined.
Given; f(x) = 3x^2+2 and g(x) = x - 4.
Therefore; f (g(x)) = 3 (x - 4)² + 2
= 3 (x² - 8x + 16) + 2
= 3x² - 24x + 48 + 2
f (g(x)) = 3x² -24x + 50.
Ultimately, the expression which represents the function f (g(x)) as required is; f (g(x)) = 3x² -24x + 50.
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Which decimal is equivalent to 1 5/8?
Answer: 1 5/8 is equivalent to 1.625
Step-by-step explanation:
Help With Homework please.
Answer:
its C
Step-by-step explanation:
you add the values on the left side together then add the values on the top together and finally multiply those two values together
Pleaseeeeee helpppppp fasttttttt 11 pointssss
Answer:
x = 9
m∠1 = m∠2 = 54°
Step-by-step explanation:
Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.
a). ∠1 ≅ ∠2 [Corresponding angles]
Therefore, m∠1 = m∠2
(63 - x)° = (72 - 2x)°
2x - x = 72 - 63
x = 9
b). m∠1 = (63 - x)°
= 63 - 9
= 54°
m∠2 = (72 - 2x)°
= 72 - 18
= 54°
The method of completing the square was used to solve the equation 2x^2 – 12x + 6 = 0. Which equation is a correct step when using this method?
(x - 3)2 = 6
(x – 3)² = 3
(x - 3)2 = -3
Answer:
(x-3)^2 = 3
Step-by-step explanation:
Can someone help me out?
(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.
Answer: X" ( -3,2) Y" (-1,0) Z" (1,6)
Step-by-step explanation:
what is the value of 2 3/4 ➗ 3/4
Answer:
3 2/3 is the answer
Step-by-step explanation:
Conversion a mixed number 2 3/
4
to a improper fraction: 2 3/4 = 2 3/
4
= 2 · 4 + 3/
4
= 8 + 3/
4
= 11/
4
To find new numerator:
a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/
4
= 8/
4
b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11
c) Write a previous answer (new numerator 11) over the denominator 4.
Two and three quarters is eleven quarters
Divide: 11/
4
: 3/
4
= 11/
4
· 4/
3
= 11 · 4/
4 · 3
= 44/
12
= 4 · 11 /
4 · 3
= 11/
3
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
4
is 4/
3
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 11/
3
.
so you simplify to get 3 2/3
table should be accurate to at least five decimal places.) \[ f(x)=9 x^{2} \text { over }[-2,2], n=4 \]
The left reimman sum is 54 .
Given,
f(x)=9x²
Left Reimman sum,
∫f(x) dx = Δx [ f(\(x_{0}\)) + f(\(x_{1}\)) + ... + f(\(x_{n-1}\)) ]
Δx = b-a/n
Here we have a= -2 , b = 2, n =4
Δx = 1
Divide the interval in 4 sub intervals of Δx = 1.
a = \(x_{0}\) = -2 , x1 = -1 , x2 = 0 , x3 = 1 , x4 = b = 2
Now,
f(\(x_{0}\)) = f(-2) = 36
f(x1) = f(-1) = 9
f(x2) = f(0) = 0
So by left reimman sum,
∫9x² dx = Δx [ f(-2) + f(-1) + f(1) + f(0) ]
∫9x² dx = 54
Thus the answer to reimman sum is 54 .
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help me pls its geometry
Answer:
The first answer is segment bisector
Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
(4.076 x 10^4) + (3.2 x 10^4)
Answer:
72760
Step-by-step explanation:
Help me with this please!!!!!!
Answer:
False
Step-by-step explanation:
If the point (-4,3) is the center of a circle and that circles perimeter contains the point (4,9) there it no way that the point (2,-5) could be in that circle
Hope this is right heh, I'm not really good with these type of problems. byeee <3
A card is drawn at random from a standard pack of playing cards.
Then a fair coin is flipped.
What is the probability of selecting an 8 and the coin landing on tails?
The probability of selecting an 8 and landing on tails is 1/13
How to get the probability?
First, we need to get the two individual probabilities.
The probability of selecting an 8 is given by the quotient between the number of eights in the deck, and the total number of cards in the deck.
P = 4/52.
For the case of the coin the probability of landing on tails is just 1/2 (the coin has two possible outputs, tails and head, both with the same probability).
Finally, the joint probability (getting the 8 and landing on tails) is given by the product between the individual probabilities, this is:
p = (4/52)*(1/2) = 2/26 = 1/13
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The number of days between May 20 and November 22 is: Multiple Choice O None of these O 186 O 183 O 197 O 206
The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.
To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.
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Cruz drinks 67 of a carton of milk each day. How much milk does he drink in 3 days?
Answer:
201 cartons of milk is your answer
Step-by-step explanation:
Because 67x3 is 201 (and to check you can divide 201 by 3 to get 67)
BELL RINGER # 6
If the function f is defined by f(x) = 3x + 4,
then 2 f(x) + 4 =
(A) 5x + 4
(B) 5x + 8
(C) 6x +4
(D) 6x+8
(E) 6x + 12
Answer:
(E) 6x+12
relations: A relation R is the subset of the cartesian product of X x Y, where X and Y are two non-empty elements. It is derived by stating the relationship between the first element and second element of the ordered pair of X × Y. The set of all primary elements of the ordered pairs is called a domain of R and the set of all second elements of the ordered pairs is called a range of R.
functions: A relation ‘f’ is said to be a function, if every element of a non-empty set X, has only one image or range to a non-empty set Y.
f(x) = 3x + 4
2 * f(x) + 4 = (2 × f(x)) + 4
From above equation
= (2 × (3x + 4)) + 4
= (2 × 3x) + (2 × 4) + 4
= 6x + 8 + 4
= 6x + 12
Therefore, the value of 2f(x) + 4 is ′6x + 12′.
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solve for x. Math question.
Answer:
x - 13+7=180
x=13+7-180 =160
How many cc are in 1 ounces?
Answer:
29.5735296 cc = 1 oz
find the x-coordinates of the inflection points for the polynomial p(x) = x 5 /20 − 5x 4 /12 + 2022/ π .
The inflection points occur at x = 0 and x = 5.
How to find the x-coordinates of the inflection points?To find the x-coordinates of the inflection points for the polynomial p(x) = \(x^5/20 - 5x^4/12\) + 2022/π, follow these steps:
1. Compute the second derivative of p(x):
First derivative: p'(x) =\((5x^4)/20 - (20x^3)/12\)
Second derivative: p''(x) = \((20x^3)/20 - (60x^2)/12 = x^3 - 5x^2\)
2. Set the second derivative equal to zero and solve for x:
\(x^3 - 5x^2 = 0\)
\(x^2(x - 5) = 0\)
3. Find the x-coordinates where the second derivative is zero:
x = 0 and x = 5
These x-coordinates are the inflection points for the polynomial p(x) = \(x^5/20 - 5x^4/12\) + 2022/π. So, the inflection points occur at x = 0 and x = 5.
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to can be driven before it would need to be junked is an exponential random variable with parameter smith has a used car that he claims has been driven only 10,000 miles. if jones purchases the car, what is the
Answer:
2334
Step-by-step explanation:
Pls help me with his math question!! (Added photo)
Answer:
output for 2.35 is 13.4
output for 42 is 172
Step-by-step explanation:
This is quite simple really. You just add 1 to the number in the input box, then multiply that number by 4. For example: 42 + 1 = 43, 43 * 4 = 172.
What is the square root of 16/121
answer has to be a fraction :)
Answer:
4/11
Step-by-step explanation:
the square root of 16 is 4 and the square root of 121 is 11
answer is 4/11
Answer:
4/11
Step-by-step explanation:
The \(\sqrt\frac{16}{121}\) is 0.36 which is in decimal form, so in fraction form that's \(\frac{4}{11}\)
Also the \(\sqrt{16}\) is 4 and the \(\sqrt{121}\) is 11.
I hope this helps!!
Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c.
Overhead Costs
$345,000
$390,000
$410,000
$463,000
$530,000
$545,000
Billable Hours
2,000
3,000
4,000
5,000
6,000
7,000
a. Develop a simple linear regression model between billable hours and overhead costs.
b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, b0,
a) The regression equation for the given data is Overhead Costs = 231,000 + 47.8 × Billable Hours
b) The coefficients of the regression model are b₀ = 231,000 and b₁ = 47.8
a. To develop a simple linear regression model between billable hours and overhead costs, we can use the following formula
Overhead Costs = b₀ + b₁ × Billable Hours
where b₀ is the intercept and b₁ is the slope of the regression line. We can use a statistical software or a spreadsheet program to obtain the regression coefficients. For these data, the regression equation is
Overhead Costs = 231,000 + 47.8 × Billable Hours
b. The coefficients of the regression model are b₀ = 231,000 and b₁ = 47.8. The fixed component of the model (b₀) represents the overhead costs that the consulting firm incurs regardless of the billable hours. This can include expenses such as rent, utilities, salaries, and other fixed costs.
In this case, the fixed component is $231,000, which represents the overhead costs that the firm has to pay even if they do not bill any hours to clients. The slope of the regression line (b₁) represents the change in overhead costs for each additional billable hour. In this case, the slope is 47.8.
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Solve the inequality. Graph your solution. $$ - 5.3 x > 21 |
The solution to the inequality - 5.3 + x > 21 is x > 26.3
In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.
In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.
- 5.3 + x + 5.3 > 21 + 5.3
x > 26.3
The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.
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Which best proves why the expressions 4(x+3)+2x and 6(x+2 must be equivalent expressions
Answer:
6x + 12 = 6x + 12
Explanation:
4(x + 3) + 2x
4x + 12 + 2x Distribute 4.
6x + 12 Combine the like terms.
6(x + 2)
6x + 12 Distribute 6
In ΔSTU, t = 390 cm, s = 900 cm and ∠S=48°. Find all possible values of ∠T, to the nearest degree
The values of ∠T is 18.78 degree.
In ΔSTU ,
We have:
T = 390 cm,
S = 900 cm
and ∠S=48°.
Using the sine rule which works law of sin with the formula:
\(\frac{SinT}{T} = \frac{SinS}{S}\)
Plug all the values in above formula:
sinT/ 390 = sin48°/900
sin T = 0.743 × 390 / 900
sin T = 0.3220
T = \(sin^-^1\)(0.3220)
T = 18.78 degree.
Hence, The values of ∠T is 18.78 degree.
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What’s the solution to 2x-2y=6 and 4x+4y=28
Answer
x=5 y=2
Step-by-step explanation:
Solve the problem by applying the Fundamental Counting Principle with two groups of items. A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal?
By using the Fundamental Counting Principle we can say that number of ways a person can order a two-course meal from 7 entrees and 11 desserts is 77.
The Fundamental Counting Principle is a basic counting rule in combinatorics that is used to calculate the total number of possible outcomes when there are two or more groups of items to choose from. The principle states that the total number of outcomes is equal to the product of the number of items in each group.
In this problem, we have two groups of items: 7 entrees and 11 desserts. To find the total number of ways of ordering a two-course meal, we can apply the Fundamental Counting Principle. First, we need to choose one item from the first group (entrees), and then we need to choose one item from the second group (desserts).
Since there are 7 entrees and 11 desserts, the number of ways to choose one item from each group is given by the product of the number of items in each group, which is 7 x 11 = 77. Therefore, there are 77 possible ways to order a two-course meal from 7 entrees and 11 desserts.
The Fundamental Counting Principle is a powerful tool that can be used to solve a wide variety of counting problems in probability theory and combinatorics. By understanding this principle, we can quickly and easily calculate the total number of possible outcomes in complex situations that involve multiple groups of items.
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Find the x- and y-intercepts of the graph of -2x + y =7
State each answer as an integer or an improper fraction in simplest form.
The x-intercept is x = -7/2
The y-intercept is when y = 7.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The equation of the graph is -2x + y = 7.
Now,
The x-intercept is when y = 0.
The y-intercept is when x = 0.
So,
-2x + y = 7
Substitute x = 0 and y = 0.
-2 x 0 + y = 7
y = 7
And,
-2x + 0 = 7
-2x = 7
x = -7/2
Thus,
x = -7/2 is the x-intercept.
y = 7 is the y-intercept.
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