Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
Plz help due tomorrow
Answer:
C.
Step-by-step explanation:
p/6+(q+8)
They are just adding not multiplying.
C is the answer they just changed the order of the numbers
like saying 3+4+5=5+4+3
A game room has a floor that is 350 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.
Answer:
70 by 8?
Step-by-step explanation:
lmk if its right lol..
I really need answer or I’mma flunk uh oh
Answer:
0u
7u
6u
2u
Step-by-step explanation:
All of these question are just a matter of adding like terms
For the first one we have
7u+(-u)+(-6u)
which is equal to
7u-u-6u
Which I'm sure you can see is equal to 0 or 0u
10/2u+2u
10/2u=5u
5u+2u=7u
6u+0u
0u=0
6u
6u+(-4u)
6u-4u
2u
Answer:
easy pz hot eggs are cheesy, 1 is 0u number 2 is 7u number 3 is 6u and number 4 is 2u
Step-by-step explanation:
thank me
HELP ASAP BRAINLIEST IF UR RIGHT
If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
What is the product?
[-3 4 2 -5] x [3 -2 1 0]
Answer:
Answer is C
Step-by-step explanation:
When you multiply the numbers you get the answer.
Answer:
The correct answer is A. I took the test.
11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.
Answer:
UY = 14
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertexIn the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]
→ Multiply both sides by UZ
∴ UY = [tex]\frac{2}{3}[/tex] UZ
∵ UZ = 21
∴ UY = [tex]\frac{2}{3}[/tex] (21)
∴ UY = 14
11) Write an equation of the line that passes through the point (–7, –9) with slope –4.
A. y+7=−4(x+9)
B. y+9=4(x+7)
C. y+9=−4(x+7)
D. y+7=4(x+9)
Answer:
C
I am asian and a jedi master
Perform the indicated operation. State the domain restrictions
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.
5.
here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3
to solve you need to factor x^2 -6x-27
you can do it by using
x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2
so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27
it will factor in (x-root 1) (x-root 2)
x^2 -6x-27 = (x+3)(x-9)
[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]
simplify x+1 and x+3
x-9
please solve.
-7 = z over 2 + 1
Answer:
wdym by this I can solve it just type it properly or take a screenshot
Step-by-step explanation:
Reduce to simplest form.
-7/12 +3/8
Answer:
ok so you should get -5/24 in simplest form.
Decimal form- -0.2083 repeating
Step-by-step explanation:
Hope this helped :)
Which phrase describes the algebraic expression n + 14?.
Solve for the variable.
1. 78 = x - 11
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
add 11 to both sides of the equation
78 + 11 = x - 11 + 11
78 + 11 = x
89 = x
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
+ 11 = +11 <— we add 11 since we are doing inverse operation
89 = x
Part 3 of i need these
Answer:
x=11
a=116°
b=29°
c=35°
hope is helpful
Which line is parallel with the line y = -4x + 2?
A. 4x + y = -5
B. -4x + y = 5
C. -x + 4y = 2
D. x + 4y = -2
Leah buys a bag of cookies that contains 7 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies
and 4 oatmeal cookies. What is the probability that Leah randomly selects a chocolate chip cookie from the
bag, eats it, then randomly selects a sugar cookie? Express you answer as a reduced fraction.
Question Help: Video
Submit Question
is it A B C or D o just need help with that
Answer:
B
Step-by-step explanation:
State the congruence relation for ABWO and
AIRO. Use only the markings in the diagram.
A. AAA
B
R
B. SSA
0
C. SAS
D. not necessarily
congruent
Answer:
Step-by-step explanation:
From the diagram, just the way it is marked, the two triangles are congruent by either SAS or ASA (although this requires an extra step).
Rereading the question, you are only allowed to use the markings given. So the answer is SAS
Suppose you have $344.25 and you spend $6.75 per day on lunch.
Part 1: Write an equation to represent the amount of money you have after, d, days of buying your lunch. Let A = the amount of money left in your account after d days. Explain why your equation makes sense. (What do any numbers in your equation mean?)
Part 2: How many days does it take for you to have no money left for lunch? Explain how you calculated this.
Remember that you must show all work and fully explain your thinking on the problem.
Answer:
Part 1: $344.25 -$6.75(d) = A
This equation I have made makes since because 344.25 represents the money I have now. If I were to spend 6.75 * d days, that would give me the total money left in my account after how many number days.
Part 2: $344.25/$6.75 = 51
It would take 51 days for me to have $0.00 in my account. I know this because I divided the total money I have in my account by how much I spend on lunch everyday. Knowing this, I know how many days it'd take for me to have $0.00
Step-by-step explanation:
The graph of cosine function has an amplitude of 4 and a period of 3x find an equation in the form of y=a cos bx
Answer: f(x) = 4*cos(x*2*pi/3)
Where I assumed that the period is 3, instead of 3x
Step-by-step explanation:
In a general equation like:
f(x) = a*cos(b*x)
a is the amplitude.
b is the angular frequency, which is equal to two pi times the inverse of the period.
In this case, we know that the amplitude is 4, then a = 4.
And the period is 3x (i guess that this is wrong because the period should not depend on the variable, as we will see later), then the frequency is:
b = 2*pi/3x
Replacing these in the equation we get:
f(x) = 4*cos(x*2*pi/3x) = 4*cos(2*pi/3)
Then we have no longer a dependence on x.
If the period is equal to 3, then the frequency will be:
b = 2*pi/3
Then the equation now is
f(x) = 4*cos(x*2*pi/3)
This is a cosine function, as we wanted.
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
1 2/7
Step-by-step explanation:
i did the math :) ................
A baker evenly divides 55 muffins into 9 boxes.
Each box contains
muffins and
muffins remain.
Answer:
each box has 6 muffins and 1 remains
hope this helps! :)
How will you remember the slopes of the horizontal and vertical lines?
Answer:
The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
Step-by-step explanation:
What is the radical form of the expression
2 3/4
1 1/2 - (5/6x + 1/3) = 8/9 Really urgent pls help
Answer:
x = 1/3
Step-by-step explanation:
Rewrite the mixed number 1 1/2 as 1 9/18. The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9. Then we have:
1 9/18 -(15/18)x - 6/18 = 16/18
or:
27/18 -(15/18)x = 22/18
Clear this of fractions by multiplying all terms by 18:
27 - 15x = 22, or
5 = 15x, or
x = 5/15, or x = 1/3
The value of the equation x = 1/3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9 be equation (1)
On simplifying the equation , we get
3/2 - ( 5/6 )x - 1/3 = 8/9
Adding (5/6)x on both sides of the equation , we get
( 5/6 )x + 8/9 = ( 7/6 )
Subtracting 8/9 on both sides of the equation , we get
( 5/6 )x = ( 7/6 ) - ( 8/9 )
( 5/6 )x = ( 63 - 48 ) / 54
Multiply by ( 6/5 ) on both sides of the equation , we get
x = ( 15/54 ) x ( 6/5 )
x = 3/9
x = 1/3
Hence , the value of the equation is x = 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Point A is located in which quadrant?
On a coordinate plane, point A is at (negative 3, 5).
Answer:
answer is D
the point A is located on quadrant IV
Step-by-step explanation:
hope this helps!
Can someone help with this?
Answer:
Its the second one
Step-by-step explanation
the reason why is because
<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.
solve the inequality j + 6 < 9