Answer:
y=9x^2 + 8
Step-by-step explanation:
using the power rule, we will differentiate each term separately
d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2
d/dx of 8x = 8x^(1-1) = 8
d/dx of -7 = 0
combining them we get the derivative which is y = 9x^2 + 8
Answer:
9x² + 8
Step-by-step explanation:
The given function to us is ,
[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]
And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have
[tex]\implies y = 3x^3 + 8x - 7 [/tex]
Recall that , the derivative of constant is 0 . Therefore ,
[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]
Hence the derivative of given function is 9x² + 8 .
A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads
Answer:
[tex]Sets = 27[/tex]
Step-by-step explanation:
Given
[tex]Coin = 1[/tex]
[tex]Toss = 5[/tex]
Required
Number of outcomes with at most 3 heads
First, we list out the sample space of a toss of coin 5 times
[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]
Next, we list out all outcomes with at most 3 heads
, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]
So, the number of set is:
[tex]Sets = 27[/tex]
(08.07A LC)
The two-way table below shows the number of students in a school who like mathematics and/or physics:
Do Not Like Mathematics
Total
Like Mathematics
Like Physics
15
20
35
Do Not Like
Physics
30
Total
20
45
65
How many more students like physics than mathematics?
O 10
PES
O 15
an
HEHEHE
O 20
REBBBBBBBBBBBBBBB
O 25
Answer:
25
Step-by-step explanation:
you would do the total which is 45-20
Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.
Answer:
Step-by-step explanation:
H
Find the coordinates of the
midpoint M. *
A(-4,-8) and B(-1,4)
Please provide an explanation
Answer:
M(-5/2, -2)
Step-by-step explanation:
Add the x-coordinates & divide by 2.
Add the y-coordinates and divide by 2.
x-coordinates: -4, -1
(-4 + (-1))/2 = -5/2
y-coordinates: -8, 4
(-8 + 4)/2 = -4/2 = -2
M(-5/2, -2)
pa answer naman po!!!
[tex]\bold{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.Di ko alam
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
pa tama nalang kung mali ah
tao lang nag kakamali rin hehe
[tex]\bold\blue{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.F
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
Taga Pilipinas ka din ba o hindi?
For each square there are 3 circles. Which model shows this relationship?
ОО
Answer:
The one in the middle 100% correct
Answer:
second option
Step-by-step explanation:
Ratio of square to circle = 1 : 3
In the second option:
Square = 2 & circles = 6
Ratio = 2 : 6 and after simplifying, Ratio = 1 : 3
Help me please correct answers only
Answer:
well your answer should be "F"
Step-by-step explanation:
we have
Y<-2x+10 -----> inequality A
The solution of the inequality A is the shaded area below the dashed line
Y = -2x+10
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
Y<1/2x-2 ----> inequality B
The solution of the inequality B is the shaded area below the dashed line
Y= 1/2x-2
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
i hope this helps
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
A sum of money earns the interest ar the rate of Rs. 5 per Rs.25 in a year. how many years would it trible itself?
a. 5
b. 10
c.15
d. 20
Please help me solve this problem I’m really struggling
Answer:
x × 3 + 5[tex]x^{2}[/tex] - x- 5
reorder the terms
3x + 5[tex]x^{2}[/tex] - x - 5
collect like terms
2x + 5[tex]x^{2}[/tex] - 5
reorder the terms
Solution
5[tex]x^{2}[/tex] + 2x -5
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]
Describe the graph of the line y = 15
A) line with slope of 15
B) crosses the x-axis
C) vertical line
D) horizontal line
PLEASE HELP!!! Which choice is a solution to the system of equations below?
A. There are infinitely many solutions
B. (-4, 1)
C. (4, -1)
D. (3, 4)
Answer:
A.
Step-by-step explanation:
4y = 12x + 16
3x = y - 4
=>
y = 3x + 4
using that in the first equation
4(3x+4) = 12x + 16
12x + 16 = 12x + 16
=> both lines/equations are identical, so they have infinitely many solutions.
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2
Given:
The inequalities are:
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
To find:
The graph for the given system of inequities.
Solution:
We have,
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
The related equations are:
[tex]y=\dfrac{2}{3}x+3[/tex]
[tex]y=-\dfrac{1}{3}x+2[/tex]
Table of values
x [tex]y=\dfrac{2}{3}x+3[/tex] [tex]y=-\dfrac{1}{3}x+2[/tex]
0 3 2
3 5 1
Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].
Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].
In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.
[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.
Therefore, the required graph is shown below.
Write each as a percent. Use proportions.
7/25, 2/3, 3/8
Answer:
Step-by-step explanation:
[tex]\dfrac{7}{25} =0.28=28\%\\\\\dfrac{2}{3} \approx 0.67=67\%\\\\\dfrac{3}{8} =0.375=37.5%[/tex]
Solve the inequality -10w _< 20
Step-by-step explanation:
-10w< 20w< 20/-10w< -2hope it helps
stay safe healthy and happy...
Distribute an amount of Rs. 200 between Raheem and Usman such that Raheem
gets RS 50 more than twice as much as Usman gets .
Answer:
50 and 150
Step-by-step explanation:
Raheem- (2x+50)
Usman- x
(2x+50)+x=200
3x+50=200
3x=150
x=50
plug in the numbers
Will mark brainlest help me please
Answer:
no le entiendo por qué estás en inglésConsider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction
Answer:
[tex]y = 5x + 3[/tex]
Step-by-step explanation:
Given
[tex]y = 3x - 2[/tex]
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Required
The second equation in slope intercept form
We have:
[tex]10(x + \frac{3}{5}) = 2y[/tex]
Divide both sides by 2
[tex]5(x + \frac{3}{5}) = y[/tex]
Open bracket
[tex]5x + 3 = y[/tex]
Rewrite as:
[tex]y = 5x + 3[/tex]
Hence, the equation in slope intercept form is: [tex]y = 5x + 3[/tex]
Answer: I agree with the other person
Step-by-step explanation:
Which table represents a linear function?
Answer:
C
Step-by-step explanation:
The slope of C is 3/2 and it stays consistent unlike the other ones.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
11.3
Step-by-step explanation:
first we find angle F.
remember, all angles in a triangle always sum up to 180 degrees.
so,
F = 180 - 90 - 61 = 29 degrees
now we use the law of sines.
EF/sin(D) = ED/sin(F) = DF/sin(E)
DF = x
sin(E) = sin(90) = 1
5.5/sin(29) = x/1 = x
x = 11.3
Kelly has $25 in her purse, and Dante has d dollars in his wallet
Which algebraic expression represents the total amount that Kelly and dante have?
The equation will be:
25 + d = t
where t is total money
Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas
Step-by-step explanation:
12/3.75 = 3.2 a gallon
BRAINLIEST FOR EXPLANATION (my own question)
SO when you have a point on a graph, say it's at (-3,7), and you have to graph the dot after a rotation of 90 degrees counterclockwise around the origin, how would you know what to do?
So I know it is (x,y)--> (-y,x), but having the dot as (-7,3) wouldn't work if you followed that equation. Am I doing it right? If not, how would you apply that 'equation' to (-3,7)?
Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer:
(-7,-3)
Step-by-step explanation:
You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).
So shorthand the rule is just saying
(x,y)->(opposite of y, x)
(-3,7)->(-7,-3)
A few more examples:
(5,7)->(-7,5)
(-5,7)->(-7,-5)
(-5,-7)->(7-,5)
(5,-7)->(7,5)
This whole explanation comes down to reading-u as opposite of u.
Opposite just means to change the sign.
Another way to read -u is -1×u.
Example:
Q: evaluate -u if u=8
A: -8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.
Example:
Q: evaluate -u if u=-8
A: 8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.
1 + 3 + 4 = 4 + 3 + 1. What property is being described here?
Associative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Answer: Commutative property of addition
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{1 + 3 + 4 = 4 + 3 + 1}[/tex]
[tex]\large\text{1 + 3 + 4}[/tex]
[tex]\large\text{4 + 4}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{4 + 3 + 1}[/tex]
[tex]\large\text{7 + 1}[/tex]
[tex]\large\text{= \bf 8}[/tex]
[tex]\large\text{\bf 8 = 8}[/tex]
[tex]\large\textsf{We could remove Option C. because there’s no sign of multiplication.}[/tex]
[tex]\large\textsf{This leaves us to Option A and Option B because the equation(s) has}\\\large\textsf{sum/addition}[/tex]
[tex]\large\textsf{Associative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \bf (a + b) + c = a + (b + c)}[/tex]
[tex]\large\textsf{Commutative Property of Addition formula is:}[/tex]
[tex]\bullet\large\text{ \ \bf a + b = b + a}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Commutative Property of Addition}}}\\\boxed{\huge\textsf{(Option B.)}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Carlos is 46 years old, 5’10” and weighs 225 pounds. He has diabetes and dislikes taking his diabetes medications. What wellness strategy would his doctor most likely recommend to help him reduce his diabetes medications?
A.
lose weight
B.
use stress management techniques
C.
get immunized
D.
brush his teeth regularly
E.
increase his daily fruit intake
Rewrite the equation by completing the square.
Answer:
4(x - [tex]\frac{1}{2}[/tex] )² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )
4(x² - x) + 1 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - x
4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0
4(x - [tex]\frac{1}{2}[/tex] )² = 0
Find the slope of the line that passes through (1, 2) and (8, 8).
Answer:
slope = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)
m = [tex]\frac{8-2}{8-1}[/tex] = [tex]\frac{6}{7}[/tex]
You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded
Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
Answer:
1.25% and 16 times
Step-by-step explanation:
In AABC, point D is the centroid, and AD= 12. Find AG
Answer:
AG = 18
Step-by-step explanation:
The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.
Lets make x represent AG.
So, 2/3 of x is 12
or
[tex]\frac{2}{3}[/tex]x = 12
Multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] , which is [tex]\frac{3}{2}[/tex].
( [tex]\frac{3}{2}[/tex]) [tex]\frac{2}{3}[/tex]x = 12 ([tex]\frac{3}{2}[/tex]) (x is left alone, the fractions = 1 when multiplied)
x = 12 ([tex]\frac{3}{2}[/tex]) ( 12 times 3 = 36, divided by 2 = 18)
x = 18
m(x) = x+5/ x-1 and n(x) = x-3, which function has the same domain as (m•n) (x)?
