Answer:
1/(x-1)
Step-by-step explanation:
here,x=y^2/y^3 +1
x-1=y^2-3
x-1=y^-1
y=1/(x-1)
So, the value of y in terms of x is 1/(x-1)
I Hope this will be helpful for you
Please help fast! 25 points and brainliest!!
Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Answer:
The answer is
9x³ - 11x² - 7xStep-by-step explanation:
f(x) = 36x^5 − 44x⁴ − 28x³
g(x) = 4x²
To find f(x) / g(x) Divide each term of f(x) by g(x)
That's
[tex] \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x[/tex]
Hope this helps you
Answer:
9x³ - 11x² - 7x
Step-by-step explanation:
guy abpove is right or bwlowe
The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over the last two months. What is the median number of pizzas that they ordered?
NEED ASAP
Answer:
10.375
Step-by-step explanation:
1.) Add up all the amount of pizzas | 12 + 9 + 11 +10+13+8+ 7,+ 13=83
2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =
10.375
HELP ASAP WILL MARK BRAINLIEST
Answer:
4 hours
Step-by-step explanation:
Formula for volume of a cylinder is πr² · h
1. Find the volume of the pool
π(3.5²) · 1.9 = 73.1 m³
2. Divide by the amount of water pumped out per hour (17 m³)
73.1 ÷ 17 = 4.3
It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.
Answer:
The hours does it take to empty the pool is 4.299
Step-by-step explanation:
In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:
hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool
rate water is pumped out of the pool=17m∧3
Volume of cylinder=pi*r∧2*l
According to the given data:
r=3.5
l=1.9
Therefore, Volume of cylinder=3.14*3.5∧2*1.9
Volume of cylinder=73.0835 m∧3
hours does it take to empty the pool=73.0835/17
hours does it take to empty the pool=4.299
The hours does it take to empty the pool is 4.299
Find the value of f(-1)g(-1)
Answer:
4
Step-by-step explanation:
f(-1) = (-1)^2 +1 = 1 + 1 = 2
g(-1) = 3(-1) +5 = -3 +5 = 2
f(-1)g(-1) = (2)(2) = 4
The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
Step-by-step explanation:
The two equations are 8x-10y=-23 and 9x+10y=-16.
If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).
The answer is A.
Answer:
i think it is A
Step-by-step explanation:
if right pls give brainliest
Nvm it is right pls give brainliest i need 5 to get to next rank
PLEASE ANSWER QUICKLY: Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base of 10cm by 10cm. How many times as tall is the box with the smaller base than the larger base?
Answer: 4 times as large
Step-by-step explanation:
The volume of a rectangular prism(box) can be calculated as base area*height. Because the base of one is 100 and the other 25, simply do 100/25 = 4, to determine that the box with the smaller base must be 4x as tall as the other box.
Hope it helps <3
Instructions: Given the following image of two parallel lines cut by a transversal, find
the value of a
P Flag
question
Recovery
etry Summer 2020
ey)
jes
7x-6
mpetencies
A
des
5x + 10
Durse Overview and
troduction
Unit 1: The Foundations
of Geometry
Jangles (type the type of angle in
Unit 2. Logic, Reasoning,
and Proof
First, these angles are alternate exterior
the box)
Next, set each angle equal to each other.
Unit 3: Parallel and
Perpendicular Lines
Next, solve for a
Home
Step-by-step explanation:
Here,
7x-6=5x+10 (as it has given already that alternate exterior angle are equal.
now, simplifying,
or,7x-5x = 10+6.
or, 2x=16
or, x=16/2
Therefore the value of x is 8.
i hope it helps.....
2.
The roots of the equation x2-3x - m(m + 3) = 0,
where m is a constant, are
(a) m, m + 3
(b) -m, m + 3
(c) m,- (m+3) (d) -m, -(m + 3)
(AI 2011)
Answer:
(b) -m, m + 3
Step-by-step explanation:
x² − 3x − m(m + 3) = 0
x² − 3x = m(m + 3)
x² − 3x + 9/4 = m(m + 3) + 9/4
(x − 3/2)² = m(m + 3) + 9/4
(x − 3/2)² = m² + 3m + 9/4
(x − 3/2)² = (m + 3/2)²
x − 3/2 = ±(m + 3/2)
x − 3/2 = m + 3/2, -m − 3/2
x = m + 3, -m
At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?
Answer:
5,000 passengers
Step-by-step explanation:
1. Find out how many trains leave each hour.
6 min – 60/6 = 10 x 200 passengers = 2000
10 min – 60/10 = 6 x 200 passengers = 1200
12 min – 60/12 = 5 x 200 passengers = 1000
15 min – 60/15 = 4 x 200 passengers = 800
2. Add it all up.
2000 + 1200 + 1000 + 800 = 5000 passengers
Answer:
5000
Step-by-step explanation:
6 minute train leaves 10 times
10 x 200 = 2000 passengers
10 minute train leaves 6 times
6x200 = 1200
12 minute train leaves 5 times
5x200 =1000
15 minute train leaves 4 times
4x200 =800
2000+1200+1000+800=5000
assuming more than 1 train can be at the station at once
A car can go from rest to 90 km⁄h in 10 s. What is its acceleration?
Answer:
2.5 m/s^2
Step-by-step explanation:
Answer:
2.5 m/s²
Step-by-step explanation:
First, convert to SI units.
90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s
a = Δv / Δt
a = (25 m/s − 0 m/s) / 10 s
a = 2.5 m/s²
PLEASE HELP What is the difference between a consistent and inconsistent system of equations?
Answer:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Step-by-step explanation:
Answer:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Step-by-step explanation:
nvm
Please answer this question now
Answer:
[tex] Area = 538.5 m^2 [/tex]
Step-by-step Explanation:
Given:
∆XVW
m < X = 50°
m < W = 63°
XV = w = 37 m
Required:
Area of ∆XVW
Solution:
Find side length XW using Law of Sines
[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]
W = 63°
w = XV = 37 m
V = 180 - (50+63) = 67°
v = XW = ?
[tex] \frac{v}{sin(67)} = \frac{37}{sin(63)} [/tex]
Cross multiply
[tex] v*sin(63) = 37*sin(67) [/tex]
Divide both sides by sin(63) to make v the subject of formula
[tex] \frac{v*sin(63)}{sin(63)} = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] v = 38 [/tex] (approximated to nearest whole number)
[tex] XW = v = 38 m [/tex]
Find the area of ∆XVW
[tex] area = \frac{1}{2}*v*w*sin(X) [/tex]
[tex] = \frac{1}{2}*38*37*sin(50) [/tex]
[tex] = \frac{38*37*sin(50)}{2} [/tex]
[tex] Area = 538.5 m^2 [/tex] (to nearest tenth).
create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.
A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2
Answer:
C
Step-by-step explanation:
We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square
The balance beam is balenced
Let x be the square mass
x+5 = 7 substract five from each side x+5-5 = 7-5 x = 2The solution is 2
C fits perfectly what we prooved
Answer:
C: x + 5 = 7; x = 2
Step-by-step explanation:
Refer to the given model. On the left-hand side of the balance beam, there are five circles and one square. On the right-hand side of the balance beam, there are seven circles. The balance beam is evenly distributed, so the value on the left-hand side of the balance beam must be the same as the value on the right-hand side of the balance beam.
The square stands for an unknown quantity. In algebra, variables are used to represent unknown quantities, so x will represent the value of the square.
The model shows that the value of x plus five circles is the same as seven circles. Replacing the word "plus" with a plus sign and replacing "is the same as" with an equal sign gives the equation x + 5 = 7.
To solve the equation, subtract 5 from both sides of the equation to isolate x.
Thus, the solution to the equation is x = 2.
the angle of elevation of the top of a tree from a point 27m away on the same horizontal ground as the foot on the tree is 30 degrees .find the height of the tree.
Answer:
The height of the tree = 15.59m
Step-by-step explanation:
let's make the height of the tree = x
tan30=x/27
x = 27 x tan30
x = 15.59m
(Mathematics Question)
House Insurance 50 per $100
Contents Insurance 25 per $100
The above shows the rates charged by an insurance company. How much will a person pay for his insurance, if his house is valued at $50,000, and the content at $10,000?
(A) $225
(B) $275
(C) $450
(D) $500
Answer: B.) $275
Step-by-step explanation:
Rates charged by insurance company :
House Insurance 50 per $100
Contents Insurance 25 per $100
Value of House = $50,000
Insurance Fee:
$50,000 / $100 = 500
500, 50 cent payment,
50 cent × 500 = 25000 cent
Value of content = $10,000
Insurance Fee:
$10,000 / $100 = 100
100, 25 cent payment
25 cent × 100 = 2500 cent
Total insurance fee:
(25000 + 2500) cent
= 27500 cent
27,500 cent / 100
= $275
This problem is kinda hard can you help me
Answer:
B - 5
Step-by-step explanation:
K: 60
M: 60 x 25%; 60 x .25 = 75
K: 1500/60 = 25
M: 1500/75 = 20
25-20=5
What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2
Answer:
-5x = 8
Step-by-step explanation:
The result is shown here. The y-terms cancel.
[tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]
The simplified result is ...
-5x = 8
Answer:
The result is that 5x = -8
Step-by-step explanation:
Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10
Mathematically that would be;
(-2x+7y)-(3x+7y) = 10-2
-2x + 7y -3x -7y = 8
-2x -3x + 0 = 8
-5x = 8 or 5x = -8
Martin will earn $25 per hour at a new job. During training, he will earn $20 per hour. What percent of Martin's regular hourly rate will he earn during training?
Answer:
He will earn 80% during training
Step-by-step explanation:
Lets take $25 as 100%
And take $20 as x
Using equivalent ratios, the equation would look like: $25:100% = $20:x
Next, turn them into fractions: $25 = $20
100% x
Cross multiply to get:
(25)x = $20×100%
The next step:
25x = $20×100%
25 25
25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4
Leaving it as:
x= 20×4%
x= 80%
How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3? g(x) is shifted 2 units to the right and 7 units down. g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the left and 7 units down. g(x) is shifted 7 units to the left and 2 units down
Answer: g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
The original function f(x) becomes f(x+c), if it is shifted c units to the left.The original function f(x) becomes f(x-c), if it is shifted c units to the right.Also, if it is shifted d units down, then the function becomes f(x)-d.If it is shifted d units up, then the function becomes f(x)+d.Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].
We can observe that f(x) is shifted 2 units to the left and 7 units down.
So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".
Answer:
g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
I took it and got it correct.
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter.
Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
How many cubes are there . A - 26 B - 27 C - 28 D - 29 E - 30 or F - 31
Answer is 31 because you have to count the ones under and behind
x + 3y = 42
2x - y= 14
Answer:
x=12,y=10
Step-by-step explanation:
Step: Solve x+3y=42
x+3y=42
x+3y+−3y=42+−3y(Add -3y to both sides)
x=−3y+42
Step: Substitute−3y+42forxin2x−y=14:
2x−y=14
2(−3y+42)−y=14
−7y+84=14(Simplify both sides of the equation)
−7y+84+−84=14+−84(Add -84 to both sides)
−7y=−70
Divide both sides by -7
y=10
Step: Substitute10foryinx=−3y+42:
x=−3y+42
x=(−3)(10)+42
x=12(Simplify both sides of the equation)
Hope this Helps:)
-Ac<3-
describe the end behavior f(x)=5x^4+3x^2-1.
A circle has an area of n cm2. What is it’s radius. A. 1cm b. 2cm c. 1/2 cm d. Can’t be determined
Answer:
The answer is option D.
Step-by-step explanation:
Area of a circle is πr²
where r is the radius
from the question the area is n cm² which is a variable and not a number therefore cannot be used to determine the radius of the circle.
Hope this helps you
Answer:
thank you
Step-by-step explanation:
The double number line shows that Faye can sort 150 recyclable items in 3 minutes. Based on the ratio shown in the double number line, how many recyclable items can Faye sort in 4 minutes? items
Answer:
200 Recyclables Items
Step-by-step explanation:
The first step is to find the common ratio using this formula
Common ratio= Numbers of recyclable items/Number of minutes it takes to sort the recyclable item
Let plug in the formula
Common ratio =150/3 = 50
This means that we have 50 Recyclables Items per minute.
Now let calculate how many recyclable items that Faye can sort in 4 minutes
This means we are going to multiply 4 minutes by the 50 recyclable items per minutes
Hence,
4 * 50 = 200 Recyclables Items
Therefore Based on the ratio shown in the double number line, this means that Faye can sort 200 recyclable item in 4 minutes
Answer: 200
Step-by-step explanation: Since 150 divided by 3 is 50 add a 50 to 150 and you get 200
Find the value of
10!
(10-3)
A. 70
B. 120
O C. 5040
O D. 720
Answer:
The answer is option D.
Step-by-step explanation:
[tex] \frac{10!}{(10 - 3) ! } = \frac{10!}{7!} = \frac{3628800}{5040} = 720[/tex]
Hope this helps you
Answer:
720
Step-by-step explanation:
(A P E X)
Add. 5/4+1/2 plzzzzzzzzz helppppppp!!!!!!!!!!!
Answer:
1 3/4
Step-by-step explanation:
5/4 + 1/2
Get a common denominator of 4
5/4 * 1/2 *2/2
5/4 + 2/4
7/4
Rewriting as a mixed number
4/4 + 3/4
1 3/4
PLEASE HELP the formula m=12,000+12,000rt/12t gives keri's monthly loan payment where t is the annual interest rate and t is the length of the loan, in years. Keri decideds that she can afoord at most a $275
Answer:
The answer is below
Step-by-step explanation:
The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.
Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.
[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]
The loan must be at least for 5.72 years for an annual interest rate (r) of 10%
Here's the keywords you need! :)
example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)
monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)
statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)
Just got it right on edge 2020, hope this helps!! :)
Can someone please help me?
Answer:
( - 1 , - 1 )Option D is the correct option.
Step-by-step explanation:
y = - 2x - 3 → Equation ( i )
y = 3x + 2 → Equation ( ii )
Using elimination method
y + 2x = - 3
y - 3x = 2
---------------------
5x = - 5
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]
Calculate
[tex]x = - 1[/tex]
Again, Putting the value of x in equation ( ii ) in order t get the value of y
[tex]y = 3x + 2[/tex]
plug the value of x
[tex] = 3 \times ( - 1) + 2[/tex]
Any expression multiplied by ( - 1 ) equals it's opposite
[tex] = - 3 + 2[/tex]
Calculate
[tex] = - 1[/tex]
Therefore, The possible solution of the system is the ordered pair ( x , y )
[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]
-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
[tex] - 1 = - 2 \times ( - 1) - 3[/tex]
[tex] - 1 = 3 \times ( - 1) + 2[/tex]
Simplify the equation
[tex] - 1 = - 1[/tex]
[tex] - 1 = - 1[/tex]
Since all the equalities are true, the ordered pair is the solution of the system.
( x , y ) = ( - 1 , - 1 )Hope this helps..
Best regards!!
what is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)
C). (3, 29) would be your answer.
Explanation?:
Rewrite the equation in vertex form.
y = -3(x - 3)^2 + 29
use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 3
k = 29
The vertex = (h, k)/(3, 29)
Hope this helps!
Answer:
It would be c
Step-by-step explanation: