Given that f(x).....question and answers in the pic
Answer:
2x sqrt(3)
Step-by-step explanation:
f(x) = 4x sqrt(3x+3) =4x sqrt(3 (x+1)) = 4x sqrt(3 ) * sqrt (x+1)
g(x) = 2 sqrt(x+1)
f(x) / g(x) = 4x sqrt(3 ) * sqrt (x+1)/ 2 sqrt(x+1)
Canceling like terms
= 4x sqrt(3) / 2
= 2x sqrt(3)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The radicals should be negatives of each other
Step-by-step explanation:
When we get solutions that are radicals, they have to be in the form
a+ sqrt(b) and a- sqrt(b)
His answer is a + sqrt(b) and -a - sqrt(b)
HURRY I HAVE 30 MINUTES What are the x and y coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Answer:
(-7, -1)
Step-by-step explanation:
The ratio is 1:4, the total is 1 + 5 = 5, so the partition is at 1/5 of the total length.
x2 - x1 = 25 - (-15) = 40
1/5 * 40 = 8
-15 + 8 = -7
x = -7
y2 - y1 = 15 - (-5) = 20
1/5 * 20 = 4
-5 + 4 = -1
y = -1
Answer: (-7, 1)
Simplify: (3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
Answer:
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Step-by-step explanation:
(3x2 − 8xy + y2) − (7x2 − 4xy − 5y2)
First, we remove the parenthesses. We can just remove the first parnthesses because there isn't any sign before them. When removing the second ones, we will change the sign of every term in it. It becomes:
[tex]3x^{2} -8xy+y^{2} -7x^{2} +4xy+5y^{2}[/tex]
Now we will combine the like terms. That means that we will subtract 7x2 from 3x2, add 4x to -8x etc.
[tex]-4x^{2} -4xy+6y^{2}[/tex]
Answer:
-4xy - 8x + 12y
I will give the most brainiest to whoever answers first
Answer:
201.06
Step-by-step explanation:
A=4πr2=4·π·42≈201.06193
Find the common ratio of the geometric sequence: 4,3,9/4
Answer:
The common ratio is
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
To find the common ratio in a geometric sequence divide the next term by the previous term
That's
The first term is 3 and the next term is 4
so the common ratio will be
3/4Hope this helps you.
what is the value of n
Answer:
c. 38
Step-by-step explanation:
The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the pyramid?
Answer:
875 cm^3
Step-by-step explanation:
Here, we want to calculate the volume of the pyramid.
To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question
Mathematically since the base is a square, formula for the base area would be ;
L^2 = 5^2 = 125 cm ^2
Now
using the height to get the volume , we have 125 * 7 = 875 cm^3
Answer:
58 1/3 cm³
Step-by-step explanation:
V = 5² * 7 / 3
V = 25 * 7 / 3
V = 58 cm³
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
DICIÓN DE POLINOMIOS. Sumar los polinomios. (4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3) SUSTRACCIÓN DE POLINOMIOS. Restar los polinomios. (4x + 9) - (5x – 8)=-x+17 (x2 – 4x + 7) - (2x2 + 6x – 8)=-20x2-13x-72 (5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)20x2 +32x-45x-72 (7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10) (4x2+9)-(5x-8) VI. PRODUCTO DE POLINOMIOS. Multiplicar los polinomios. 5x(x – 4)
Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
Which of these tables represents a non-linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
Option C.
Step-by-step explanation:
In a linear function, the change in y-values with respect to x-values is constant.
We need to find table from the given tables which represents a non-linear function.
In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.
In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.
Only in option C, the rate of change is not constant. So, it represents a non-linear function.
Therefore, the correct option is C.
Answer:
The Correct Answer would be C
Step-by-step explanation:
Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?
Answer:
6
Step-by-step explanation:
Let's call the number of red cubes that Sam has r, and the number of yellow cubes that she has y.
Since the sum of the number of cubes is 20:
r+y=20
Since she has 8 more yellow cubes than red ones:
y=r+8
You can now plug this back into the first equation:
r+(r+8)=20
2r+8=20
2r=12
r=6
Therefore, Sam has 6 red cubes. Hope this helps!
Hope this helps!
Answer:
6 red cubes
Step-by-step explanation:
Let statements: let y be the number of yellow cubes, and let r be the number of red cubes.
r+y=20
r+8=y
r+(r+8)=20
2r+8=20
2r=12
r=6
The pro shop at the Live Oak Country Club ordered two brands of golf balls. Par One balls cost $2.00 each and the Pro Sport balls cost $0.90 each. The total cost of Par One balls exceeded the total cost of the Pro Sport balls by $660.00. If an equal number of each brand was ordered, how many dozens of each brand were ordered?
Answer:
If an equal number of each brand was ordered, how many dozens of each brand were ordered?
50 dozens of each brandStep-by-step explanation:
in order to determine the number of balls purchased, we must first determine the difference in price between them = $2 - $0.90 = $1.10
since the total difference in price was $660 and an equal number of balls were purchased, then the number of balls purchased = $660 / $1.10 = 600 balls
to determine the number of dozens purchased of each brand we just divide 600 by 12 = 50 dozens
Please help, tysm if you do :)
The length of a rectangle is 2 cm less than three times the width. The perimeter of the rectangle is 92 cm. Find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
The answer is B. 12,34 cm .....:)
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer:
[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]
Step-by-step explanation:
The diagram is drawn and attached below.
From the diagram
[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]
[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]
Answer:
m<2: 75
m<1: 105
Step-by-step explanation: On edge 2021
Hope this helps!
Jon has 5 pairs of socks in his suitcase. What type of number is given here? 1. Whole, integer, rational, real 2. Integer, rational, real 3. Natural, whole, integer, rational, real 4. Rational, real
Answer: 3. Natural, whole, integer, rational, real
Answer:
Answer 3: Natural, whole, integer, rational, real
Step-by-step explanation:
I need help with my homework help me please
Answer:
a. 17
b. 50
c. 9
Step-by-step explanation:
Simply replace the variables with the given numbers:
3(5) + 2
15 + 2
17
2(5)²
2(25)
50
(5 - 2)²
3²
9
Answer:
a) 17
b) 50
c) 9
Step-by-step explanation:
x = 5; y = 2
a) 3x + y
b) 2x^2
c) (x - y)^2
a) 3x + y = 3(5) + 2 = 15 + 2 = 17
b) 2x^2 = 2(5^2) = 2(25) = 50
c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9
Anna has 3 hats, 4 sunglasses and 5 bags. To go out, she needs a hat, a pair of sunglasses, and a bag. In how many different ways can she combine her accessories?
Answer:
60
Step-by-step explanation:
The number of combinations is
3 hats * 4 sunglasses * 5 bags
60 ways
Answer:
60
Step-by-step explanation:
The number of combinations is
3 hats * 4 sunglasses * 5 bags
60 ways
Step-by-step explanation:
Step-by-step explanation:
The number of combinations is
3 hats * 4 sunglasses * 5 bags
60 ways
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular. The city will pay to have soft pavement made of recycled tires installed in the playground. In the first plan, one side 8 yards longer than the other side. Which equations model the possible dimensions of the playground? x( x + 8) = 256 ( x2) - 8 = 256 x2- 8 x - 256 = 0 ( x + 4)( x - 4) = 256 x( x - 8) = 256
Answer:
x(x+8) = 256
Step-by-step explanation:
hello
one side is x
the other one is 8 yards longer, so it is x + 8
so the surface is x(x+8) = 256
hope this helps
Answer:
x(x + 8) = 256
Step-by-step explanation:
The area of a rectangle can be calculated by doing length times width.
One side is 8 yards longer than the other. Let one side be represented by x. So, another side would be x + 8.
x * (x + 8) = 256
x(x + 8) = 256
x^2 + 8x = 256
Hope this helps!
Jay is 4 years older than May. May is twice as old as Kay. How old is Jay if Kay is x years old ?
Answer: Jay is 2x + 4 years old
Step-by-step explanation:
May's age = M
Jay's age = J
Kay's age = x
J = M + 4
M = 2x
substitution
J = 2x + 4
Hope it helps <3
Stu Dent received scores of 85, 78, and 81 on his first 3 exams in Algebra 1. What is the lowest score does Stu has to get on his 4th exam, so his test average would be at least an 84?
Answer:
92
Step-by-step explanation:
Given
Scores: 85, 78, 81
Required
Determine the least score in 4th subject is average must be at least 84
To solve this, we'll make use of Mean formula.
Mean = Sum of observations/Number of observations
We have that; Average = 84
Number of subjects = 4
Let the 4th subject be represented by F;
So, the sum of the four Subjects is:
Sum = 85 + 78 + 81 + F
Sum = 244 + F
Substitute these values in the above formula.
84 = ¼(244 + F)
Multiply both sides by 4
4 * 84 = 4 * ¼(244 + F)
336 = 244 + F
Subtract 244 from both sides
336 - 244 = 244 - 244 + F
92 = F
F = 92
To have an average of at least 84, Su's score must be atleast 92
What is the value of x?
Answer:
A
Step-by-step explanation:
If you input 20 for x & add it up you will get 60 degrees for both angles.
This is correct because vertical angles are always congruent
Answer:
x = 20
Step-by-step explanation:
The angles are vertical angles which means they are equal
x+40 = 3x
Subtract x from each side
x+40-x = 3x-x
40 = 2x
Divide by 2
40/2 = 2x/2
20 =x
A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm
Answer:
22cm
Step-by-step explanation:
take 22 mulitply by 23=506 dived by 23= to 22
what is the multiplicative inverse of -4/3
Answer:
3/4
Step-by-step explanation:
Well,
multiplicative inverse means the opposite of -4/3 is 3/4.
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. f(x) = 3^x-7 g(x) = 2 log(2x)
Answer:
(.5 , 0) (7.8 , 2.4)
Step-by-step explanation:
The solution to a system of equations is when they cross each other on a graph.
When this is graphed you case use the trace and zoom in tools to find where they are solutions at.
Sigourney plays the cello. On 15% of her practice days, she practices all of her scales. If she practices everyday of 4 weeks how many days did she practice all her scales
Answer:
4.2 days
Step-by-step explanation:
Number of Weeks during which she practiced =4 weeks
Convert from weeks to days = 4 X 7=28 days
Since she practices all of her scales 15% of her practice days.
Number of Days that she practiced all her scales
=15% X 28
=0.15 X 28
=4.2 days
find the sum of these polynomials. (x^2 - 5x + 3) + (2x^2 - 3x - 7)
Answer:
[tex]3x^2 - 8x - 4[/tex]
Step-by-step explanation:
This is a short and simple question, but it's good!
We are given the expression [tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex], and simply being asked to combine like elements to simplify the expression. Take a look at the procedure below -
[tex]\left(x^2-5x+3\right)+\left(2x^2-3x-7\right)[/tex] - Remove ( ),
[tex]x^2-5x+3+2x^2-3x-7[/tex] - Add like elements,
[tex]3x^2-5x-3x+3-7,\\3x^2-8x+3-7,\\[/tex] - And further simplify to derive solution
[tex]Solution = 3x^2-8x-4[/tex]
Hope that helps!
Can someone please provide a step by step explanation on how to solve this equation? I have tried and am dumbfounded on how to solve it. (2^8 x 5^−5 x 19^0)^−2 x (5^-2 / 2^3)^4 x 2^28
Answer:
25
Step-by-step explanation:
Here is a picture of my work. I thought it would be too tedious to type it up. I hope this helps you!! Have a great rest of your day.
Please help
Determine the dependence between the quantities for the given graph.
Package Delivery
Charges
Total Cost ($)
→X
Weight of the Package
(in pounds)
Answer:
The total cost depends on the weight of the pacakge
You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. Create an equation for the situation above.
Answer:
B(x) = 2x + 3
Step-by-step explanation:
Given:
Amount used = 3 GB (constant term)
Additional amount for each stream = 2 GB (slope)
Total bandwidth used for x streams
B(x) = 2x + 3