Answer:
67
Step-by-step explanation:
1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
(b) Find the remainder when f (x)=3x^3 −11x−48 is divided by x−1 .
(c) Let f (x)= x3 , g(x)= x+5. Find (f •g)(x)
(d) Find the derivative of y = 3+ x^2+ x^3y^3.
Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3x³ +3x²
3x²-11x-48
-3x²+9x
2x -48
-2x +2
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
[tex]\frac{dy}{dx} = n x^{n-1}[/tex]
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
i do brainlest
help as fast as you can
what is the photo we can't see it
can someone please answer as soon as possible
Answer:
A) {-1,2,8}
Step-by-step explanation:
fill in all domain values in f(x) and you get:
f(-1) = -1
f(0) = 2
f(2) = 8
The set of results is the range.
Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale must he use?
Answer:
1 foot=1 milimeter
Step-by-step explanation:
have a great day
Complete the table by using your knowledge of the formula for simple interest.
Answer:
that look hard
Step-by-step explanation:
i. what is sec (17pi/3)
Answer:
1.05
Step-by-step explanation:
example sec x=1/cos x
sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05
Hope it helps
Solve equation for
0<θ<2pi
5-1/4sinθ =5
Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?
Answer: R/12=3
Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /
Answer:D
Step-by-step explanation:
Solve for h .
-98 = -7 h
h =
Answer:
14
Step-by-step explanation:
Step 1:
- 98 = - 7h Equation
Step 2:
- 98 ÷ - 7 = h Divide on both sides
Answer:
h = 14
Hope This Helps :)
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-98=-7h Equation/Question
Step 2
-98=-7h Simplify
-98=-7h
Step 3
-98=-7h Divide both sides
answer
h=14
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?
a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.
Answer:
Following are the solution to this question:
Step-by-step explanation:
For this set, the correlation coefficient is = -0.015.
It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.
It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.
Use a matrix to solve the system:
Answer:
(2.83 , 1 , 4)
Step-by-step explanation:
[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]
Rewrite these equations in matrix form
[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]
we can write it like this,
[tex]AX=B\\X=A^{-1}B[/tex]
so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.
We get the inverse of matrix A,
[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]
now multiply the matrix with B
[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]
Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?
14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.
Solve 2(x + 1) = 2x + 5.
All real numbers
No solution
0
3
Final Answer: No Solution
Steps/Reasons/Explanation:
Question: Solve [tex]2(x + 1) = 2x + 5[/tex].
Step 1: Expand.
[tex]2x + 2 = 2x + 5[/tex]
Step 2: Cancel [tex]2x[/tex] on both sides.
[tex]2 = 5[/tex]
Step 3: Since [tex]2 = 5[/tex] is false, there would be no solution.
No Solution
~I hope I helped you :)~
Answer:
No Solution
Step-by-step explanation:
1) Parenthesis
Here, you cannot add x and 1, so you must distribute the 2 into the parenthesis.
(2x+2) = 2x +5
2) Isolate the variable.
To do this, you must subtract 2x from both sides of the equation
2x - 2x + 2 = 2x - 2x + 5
2 = 5
Clearly, this is a false statement, seeing at 2 can never equal 5, the answer is no solution
Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)
To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and [tex]y-2-(x-5)[/tex] Therefore the correct option is D.
Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),
which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)
Hence the correct option is D
To know more about equation in point-slope visit:
https://brainly.com/question/29298429
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The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *
Answer:
The answer is 32 degrees
Step-by-step explanation:
45 minus 13 equals 32
write an equation of the line y=5x+8 that passes through the point (4,-3)
A motocross ramp is 16 feet tall and 24 feet long what is the slope of the ramp
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
if k(x)=x²-4 find k(2x)
1 -4
2-x²
3-2x²-4
4-4x²-4
Answer:
4. 4x² - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
k(x) = x² - 4
k(2x) is x = 2x
Step 2: Evaluate
Substitute in x: k(2x) = (2x)² - 4Exponents: k(2x) = 4x² - 4HURRY I NEED HELP ASAP
Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40
Answer:
D
Step-by-step explanation:
all should add up to 180
Answer:
E. 70°, 60°, 40° D. 75°, 50, 100 C. 50°, 50°, 100°
Step-by-step explanation:
If you add the three degrees together, they all should equal 180 degrees.
Hope this helped :)
order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2
Answer:
3/4 3/4 1/2 1/4 -14 -15 -20
Step-by-step explanation:
Answer:
-20,-15,-14,-1/4,1/2,34
Step-by-step explanation:
how do you Graph y = 1/5x+3.
Answer: If you can see with this Image I created, the Y Intercept (3) is dotted on the line. You move one up, and move five units to the right. You keep on doing this until you can make a line (Which I did).
I hope this helps, and Happy Holidays! :)
Answer:
rise
----
run
Something like these
Step-by-step explanation:
find 3 on the vertical line if the graph
then from that point rise 1 time to should get you to 2 on the horizontal axis, run 5 times to get to 7, and keep doing that. opposing that rise over run but with negatives when going from the other side of the graph
What is the value of StartFraction negative 3 (7 + 5) over 3 squared EndFraction + 9 (2)? –6 –2 14 22 Please help timed test??????
Answer:
your dad left to get the milk
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i took the test on edge 2021
You record the age, model, exterior paint color, interior color, engine size, number of cylinders and cost of 1463 used cars in an online car dealership. The number of variables you have recorded is
Answer:
the number of variables that recorded is 7
Step-by-step explanation:
The computation of the number of variables that recorded is shown below:
1. Age
2. Model
3. Exterior paint color
4. Interior color
5. Engine size
6. Number of cylinders
7. Cost of 1463 used cars
Hence, the number of variables that recorded is 7
The same is to be considered
The number of recorded variables is 7
Mathematical variables are representations of data
The variables listed in the online car dealership are:
AgeModelExterior paint colorInterior color Engine sizeNumber of cylindersCost of 1463 used carsIf the variables listed above are counted, we will have 7 variables altogether
Learn more on variables here: https://brainly.com/question/23931018
Chuck-A-Luck: To win any money, at least two of your dice must show the same number. What's the likelihood of winning anything after one roll?
Answer:
0.2778
Step-by-step explanation:
Each sides in a fair die has a probability of = 1/6
The probability of getting the same number on both dice is 6 from 36 outcomes, that is;
= 6/36 = 1/6
the probability of get same number on both dice after one roll = 1/6
therefore = 1/6 x 1/6 = 1/36 = 0.2778
i need help with this please
Answer:
31/8
Step-by-step explanation:
What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)
Answer:
0
Step-by-step explanation:
Use the slope formula: m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-3+3}{-2-5}=\frac{0}{-7} =0[/tex]
The slope of the line is 0.
Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.
Answer:
the price before taxes was $18,229.13
Step-by-step explanation: