Answer:
5x³ - 2x²
Step-by-step explanation:
Step 1: Write out expression
4x³ - x² + 4x + x³ - x² - 4x
Step 2: Combine like terms (x³)
5x³ - x² + 4x - x² - 4x
Step 3: Combine like terms (x²)
5x³ - 2x² + 4x - 4x
Step 4: Combine like terms (x)
5x³ - 2x²
Calculus is the relationship between change (in forms of rates, slopes, differentials) and content (measure by examples: volume, area, distance) It's a field that connects how big something is to how much it grows when small changes are made or, conversely, how knowing the rate that something is changing can tell you how much "stuff" you've accumulated.
a. True
b. False
Answer:
a. True
Step-by-step explanation:
Calculus is the mathematical study of continuous change. Calculus is usually developed by working with very small quantities. Calculus has two major branches, which are, differential calculus and integral calculus. Differential calculus involves instantaneous rates of change, and the slopes of curves, while integral calculus deals with the accumulation of quantities, and areas under or between curves.
Can anyone help me out with this please
what is the standard form equation of the line shown below?
y + 1 = 1/2(x + 3)
y=1/2x+5/2
-x + 2y = 1
x-2y = -1
Answer:
- x + 2y = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (3, 2)
m = [tex]\frac{2-0}{3+1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex], thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2) , then
2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 2 - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
Multiply through by 2
2y = x + 1 ( subtract x from both sides )
- x + 2y = 1 ← in standard form
1) 3x²y3 . 3y4
A) 4x®y4
C) 9x?y?
B) -2x®ys
D) 2x®y4
HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will the system of equations have NO SOLUTION??? A. 12/5 B. 16/7 C. -16/7 D. -12/5 also side question, how do you find out if an equation has 1 solution or no solution or infinite solutions???
Answer:
A. ¹²/₅Step-by-step explanation:
There is no solution for system of equations: [tex]a_1x+b_1y=c_1\\a_2y+b_2y=c_2[/tex]
if: [tex]a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}[/tex]
so first, we we need to transform the equations to the form where the coefficients at y will be the same:
[tex]kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21[/tex]
Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂
5k = 12
÷5 ÷5
k = ¹²/₅
If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?
Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
Consider the variable race. What frequency of observations are Black and what frequency are Latino? A. 7 are black and 5 are Latino B.7 are Black and 4 are Latino C. 4 are black and 8 are latino D.8 are black and 4 are Latino E. 1 is black and 1 is Latino
Answer:
The answer is 8 are Black and 4 are Latino
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B
Answer:
C) 31.2
Step-by-step explanation:
The length of AB can be found from the Pythagorean theorem:
AB² = AD² +BD²
AB = √(25 +144) = 13
All of the right triangles are similar, so ...
BC/BD = AB/AD
BC = BD(AB/AD) = 12(13/5)
BC = 31.2 . . . units
Answer:
C
Step-by-step explanation:
Complete the missing value in the solution to the equation.
( ? , 8 )
2x + 3y = 12
Answer:
-6
Step-by-step explanation:
x=?
y=8
2x + 3y = 12
=>2x+(3 *8)= 12
=>2x+24 =12
=>2x=12-24
=>x=-12/2
=>x=-6
A batch of cookies calls for 1/4 cup of flour. You want to make 2/3 of a batch. How much flour will dimitra need to make 2 1/4. Batches of cookies
Answer: 1/4
Step-by-step explanation: You will need 1/4 of cup flour to make 1/2 of a bath of cookies.
Isabella is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Isabella spent $40 altogether on 15 games and rides. Graphically solve a system of equations in order to determine the number of games Isabella played, x, and the number of rides Isabella went on, y.
Answer: (10,5)
Step-by-step explanation:
You have to graph it but the equations are
x+y=15 (total number of games and rides)
2x+4y+40 (total money spent)
first equation is also y= -x+15
second is 4y= -2x+40
y= -.5x+10
So graph y= -x+15 and y= -1/2x+10 and where the lines cross is your answer
also -x+15= -.5x+10
15=.5x+10
5=.5x
10=x
10+y=15
y=5
(10,5)
9 more than 6 times a number is 3
Greetings from Brasil...
According to the statement of the question, we can assemble the following equation:
9 + 6X = 3
6X = - 6
X = - 1please help, thank you!!
Answer:
D (4)
Step-by-step explanation:
So we have the function:
[tex]f(t)=3t^2+5t+6[/tex]
And we want to find f(-3).
To do so, substitute -3 for x. Thus:
[tex]f(-3)=3(-3)^2+5(-3)+6[/tex]
Square:
[tex]f(-3)=3(9)+5(-3)+6[/tex]
Multiply:
[tex]f(-3)=27-15+6[/tex]
Add:
[tex]f(-3)=18[/tex]
So, our answer is D (4)
solve the equation 9=8(n+4)-7
Answer:
n= -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28
Answer:
AB=14
Step-by-step explanation:
First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.
Then you distribute the two and get 4x-8=28.
Then you add 8 to 28 and get 36.
Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.
So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.
So it is 2(9)-4 which is 18-4 which equals 14.
whats it called when 1 angle = 180 degrees
Answer:
It's called a straight angle, it's a straight line.
Step-by-step explanation:
Literally a straight line.
Answer:
Straight angle ..
calculate the area of a rectangle with length of 8m and a width of 4m
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \: {m}^{2} }}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle( l ) = 8 m
Width of a rectangle ( w ) = 4m
Area of a rectangle ( A ) = ?
Finding the area of a rectangle having a length of 8m and a width of 4m
[tex] \boxed{ \bold{ \sf{area \: of \: a \: rectangle = length \times width}}}[/tex]
plug the values
⇒[tex] \sf{ area \: of \: a \: rectangle = 8m \times 4m}[/tex]
Multiply the numbers : 8 and 4
⇒[tex] \sf{area \: of \: a \: rectangle = 32 \: {m}^{2} }[/tex]
Hope I helped!
Best regards!!
what is 0.86 x 0.24 help me with this.
Answer:
0.86 x 0.24 = 0.2064
Step-by-step explanation:
5 Adoncia makes a scale drawing of the front of
the Lincoln Memorial. She uses a scale of 15 ft
in the monument to 1 in. in the drawing. The
front of the monument is about 80 ft high and
200 ft long. Will Adoncia's drawing fit on an
sin.-by-11 in. sheet of paper? Explain.
8
Answer:
Since the length of the drawing is 200 ft. and equivalent to 13.33 in. with a scale of 15 ft to 1 in. and the length of the paper is 11 in., Adoncia's drawing will not fit on the sheet of paper
Step-by-step explanation:
The given parameters are;
The scale of the drawing is 15 ft = 1 in.
The actual dimensions of the monument;
Height = 80 ft.
Length = 200 ft.
Therefore, we have;
The required dimension of the paper height = 80/15 = 16/3 = 5.33 in.
The required dimension of the paper length = 200/15 = 40/3 = 13.33 in.
The given paper dimension by 11 in. which is of a dimension of that of a standard letter paper size of 8.5 in. by 11 in.
Drawing length, 13.33 in. > Paper length > 11 in.
Adoncia's drawing will not fit on the sheet of paper.
-(-5/2x+1)+3/5x=-8 solve for x
Answer:
x=−70/31
thats the answer
Machine A takes a hours to make 100 bolts, and machine B takes b hours to make 100 bolts. How many
bolts will the two machines, working together, make in one hour?
Answer:
100(1/a + 1/b)
Step-by-step explanation:
Machine A takes a hours to make 100 bolts
Then machine A makes 100/a bolts in one hourMachine B takes b hours to make 100 bolts
Then machine B makes 100/b bolts in one hourTwo machines will make:
100/a + 100/b = 100(1/a + 1/b)bolts in one hour
20(-1) - (-4) (-5)
2 [-12 + (-3 - 3)]
Plz help I don’t understand
Answer: The answer is 700
Step-by-step explanation:
I hope is right?
Answer:
1. 20(-1) - (-4) (-5)= -40
2.[-12 + (-3 - 3)]= -18
Step-by-step explanation:
20(-1) - (-4) (-5)
=(20 * -1) - (-4 * -5)
(When 2 numbers are written next to each other in brackets without any sign in between them, it means multiplication)
=(-20) - (20)
= -20 -20
= -40
----------------------------------------------------------------------------------------------
[-12 + (-3 - 3)]
=[-12+(-6)]
=[-12-6]
= -18
The model represents an inequality
Answer:
A) x≤-5
Step-by-step explanation:
4x+12≤-8
4x≤-20
x≤-5
Answer:x <_>Step-by-step explanation:
A farmer has 2,928 strawberries. He has 24 boxes and wants an equal number of strawberries in each
box. How many strawberries are in each box? Show your work below.
Answer:
Answer:
122 strawberries
Step-by-step explanation:
divide 2928 by 24 to get the number of strawberries in each box
An airplane flew across the Pacific Ocean. The table shows the amount of time and the distance traveled when the airplane was traveling at a constant speed. What is the distance traveled for 2 hours? *
Answer:
Step-by-step explanation:
time(hours) | distance traveled(miles)
_____________|_______________________
2 | 1100
_____________|_______________________
3 | 1650
_____________|_______________________
6 | 3300
The distance covered by the airplane after 2 hours given a constant speed is 1100 miles
Since, the speed of the plane is said to be constant ;The speed of the plane can be calculated from the information in the table thus : Speed = distance ÷ time Distance traveled = 1650 miles ; time = 3 hours Speed = 1650 / 3 = 550 miles per hour Hence, the speed of the airplane = 550 miles per hour Distance covered in 2 hours will be : (Speed × time) Distance covered in 2 hours = (550 × 2) = 1100 milesThe distance covered by the plane in 2 hours is 1100 miles
Learn more :https://brainly.com/question/23774048
There are 8 more boys than girls in the class. If there is a total of 32 students in the class, how many are boys
Answer:
There will be 24 boys, 32 -8 = 24
Step-by-step explanation:
In the class there is 20 boys.
What are monomials, binomials, polynomials ?All these are alzebraic expressions. A monomial consists of only one term, binomial contains two terms and a polynomial is when the number of terms is two or more than two.
In the given question
There are 8 more boys than girls in a class of total 32 students
let the number of girls be x according to the given data boys will be (x + 8)
∴ {x + (x+8)} = 32
2x + 8 = 32
2x = 24
x = 12
∴ the no. of girls = 12 and no. of boys = 12+8 = 20.
Learn more about Polynomials here :
https://brainly.com/question/4420925
#SPJ5
After three years, the value of a new car decreased from $25,000 to
$14,000. What was the percent decrease in the value of the car?
Answer:
56% decreaseStep-by-step explanation:
In this problem we are required to find the percentage decrease in the value of a car that originally cost $25,000
if the present value is now $14,000
we can solve for the percentage decrease by presentment the original cost of the car by the original cost and multiplying by 100
i.e = (14,000/25,000)*100
= (14/25)*100
= 0.56*100
= 56%
Hence the value of the car has decreased by 56%
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Answer:
s.jnufdhgvsgvru
Step-by-step explanation:
2
Ellie drove at a constant rate of 60 miles per hour. She drove for a hours before lunch and for b hours
after lunch. The total number of miles she drove can be expressed as 60(a + b) or as 60a + 60b.
Describe the meaning of each expression.
Answer:
60(a+b) means that you would have to distribute
While 60a+ 60b is already in it's simplest form
у/36 = 15/24 can someone walk me through this please?
Answer:
22¹/²
Step-by-step explanation:
y/36=15/24
cross multiply
y×24=36×15
24y=540
divide both sides by 24
y=540/24
y=22¹²/²⁴
break it down
y= 22¹/²
Answer:
22.5
Step-by-step explanation:
cross multiply
y/36 = 15/24
y×24 = 36×15
y×24 = 540
take 24 on the other side and divide it by 540
y = 540/24
y = 22.5