The quotient (x3 - 3x2 + 5x - 3) ÷ (x - 1) is x2 - 2x + 3 and remainder becomes zero
What means quotient in math?
Definition of Quotient
The number we obtain when we divide one number by another is the quotient. For example, in 8 ÷ 4 = 2; here, the result of the division is 2, so it is the quotient. 8 is the dividend and 4 is the divisor.
x^3 - 3x^2 +5x -3 / x-1 = x^2 -2x +3
x^3 -+ x^2
------------
0 2x^2 +5x
2x^2 +2x
----------------
0 3x +3
3x +3
---------
0 0
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Draw a line through the point (2, 2) with a slope of 1. Draw a line through the point (1,−1) with a slope of 1.
Answer:
should look like this
Step-by-step explanation:
equations are y=x and y = -x if needed
The equation of the lines are y = x and y = x - 2
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept
The equation of a line passing through the point (2, 2) with a slope of 1 is:
[tex]y-y_1=m(x-x_1)\\\\y-2=1(x-2)\\\\y = x[/tex]
The equation of a line passing through the point (1, -1) with a slope of 1 is:
[tex]y-y_1=m(x-x_1)\\\\y-(-1)=1(x-1)\\\\y = x-2[/tex]
Therefore both lines have equation of y = x and y = x - 2. The graphs of the lines are attached.
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3 − 1 = 5 + 10 = −5 1/2 Check whether the given value of is a solution to the equation. Justify your answer.
Answer:
[tex]x = -5\frac{1}{2}[/tex] is the solution
Step-by-step explanation:
Given
[tex]3x - 1 = 5x + 10[/tex] --- Correct expression
[tex]x = -5\frac{1}{2}[/tex]
Required
Determine if the given solution is correct
To do this, we simply solve for x in the given equation.
So, we have:
[tex]3x - 1 = 5x + 10[/tex]
Collect like terms
[tex]3x - 5x = 1 + 10[/tex]
[tex]-2x = 11[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2} = \frac{11}{-2}[/tex]
[tex]x = -\frac{11}{2}[/tex]
[tex]x = -5\frac{1}{2}[/tex]
How does the graph of f(x)=|x| compare with the graph of g(x) = 1/2|x| select all that apply
Answer:
I don't see the choices but both graphs are absolute value graphs. I think g(x) = 1/2|x| is the shrink of f(x)=|x|
Two students spent the same amount of
money on their lunches and got the same
number of toppings. One bought a steak
burger and paid $3.80 plus $0.40 for each
topping. The other bought a hamburger
and paid $3.20 plus $0.60 for each
topping. How many toppings did each
student get?
0.60-0.40=0.20
3.80-3.20=0.60
0.60 divided by 0.20=3
Hence, each student got 3 toppings each.
hope it helps:))
The company Apple is worth approximately 8×10^9 dollars. The company Jackson Avenue Coffee is worth approximately 2×10^5 dollars. How many times bigger is Apple's worth than Jackson Coffee's worth?
Answer:
35
Step-by-step explanation:
24 is what percent of 400?
Answer:
The answer is 6%
Answer:
6%
Step-by-step explanation:
tell me if I’m wrong lol
Find an expression in its simplest form for the perimeter of this shape
Answer:
(18p + 18)
Explanation:
the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.
the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).
the vertical length is the difference between 4p and 2p, which is 2p.
now, we can add all of these values together:
4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)
= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9
= 18p + 18
i hope this helps! :D
Find the perimeter of this complex figure
Answer:
38
Step-by-step explanation:
9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38
Solve 8y - 9 = -3y + 2
Answer:
y=1
Step-by-step explanation:
8y-9=-3y+2
-2
8y-11=-3y
-8y
-11=-11y/-11
Answer:
y=1
Step-by-step explanation:
8y+3y=2+9
11y/11=11/11
y=1
Jayden went to the shop and bought and orange juice for $150 and a bun for $90 . He told the shopkeeper he didnt want any coins below $10.00 nor did he want any one hundred dollar notes.
Jaydens Change included?
Answer:
give 300 and get back 60?
Step-by-step explanation:
If a scattergraph contains points that do not fall in a perfect line: Multiple Choice a straight line can still be used to approximate the relationship if a general linear trend can be discerned. the relationship between the variables is not good enough to warrant fitting a line to the data. this is an indication that there is no relationship whatsoever between the variables. the visual fit method and high-low methods should not be used, but least-squares regression can be used.
Answer:
a straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Step-by-step explanation:
The correct option is - A straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Reason -
If a scatter graph contains points that do not fall in a perfect line, then a straight line can still be used to approximate the relationship if a general linear trend can be discerned.
which of the following is a exponential function ?
Find the area of the semicircle
Answer:
25.13 m
Step-by-step explanation:
pi r²÷2
pi 4²÷2=25.13
List three integers that are between -22 and -10
PLEASE HELP ASAP
Answer:
-21, -20, -19, --18, -17, -16, -15, -14, -13, -12, -11
Step-by-step explanation:
There is no step by step explanation.
Newton's law of gravitation state that the force F of attraction between two bodies varies jointly as their masses M1 and M2 and inversely as the square of the distance between them. Two bodies whose centers are 500mi apart attract each other with a force of 15lb.What will be the force of attraction if their masses were tripled and the distance between their centers doubled?
What is the measure of ABC?
I am not absolutely sure but it should be 310
Please solve the question in the picture below.
Answer:
a
Step-by-step explanation:
because y=mx+b m =slope and b is the y intercept
Answer:
A. is the right answer
slope is 1.5 and y intercept is -2
In triangle ABC, B = 120°, a = 10, c = 18
Find angle C
choices
A. 40°
B. 50°
C. 45°
D. 20°
Answer:
kk
Step-by-step explanation:
Which of the following circumstances describes a proportional relationship?
Water flows from a hose into an empty 10 gallon bucket at a rate of 2 gallons per minute.
plumber is paid $50 per hour plus a $75 service charge.
The cost of renting a car is $45 for the first day and $20 per day for each additional day.
A student has $100 in a savings account and saves $5 per month for the next twelve months.
bStep-by-step explanation:
find m the in this screenshot
Answer:
[tex]x + x + 4 + 3x - 9 =90 \\ 5x = 95 \\ x = 19 \\ \\ gjh = 19 + 4 = 23[/tex]
Is 9.90 greater than or lesser than 9.9
Answer:
it is equal too.
Step-by-step explanation:
Answer:
it is equal to
Step-by-step explanation:
The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a certain number of minutes
Answer:
T(m) = (140 - 5m)
Step-by-step explanation:
Given that :
Initial temperature, a = 140 F
Rate of decrease = 5 F per minute
Given a certain Number of minutes, m
Temperature, T after m minutes ;
Using the formula :
Final temperature = Initial temperature - 5*number of minutes)
T(m) = (140 - 5m)
Given that ; m = 10
T(10) = 140 - 5(10)
T(10) = 140 - 50
T(10) = 90 F
PLS HELP!!!
Find x M 13 P х 18° R .02 40 42.07 4.22
just add them up EZZZZZZZZZZZ
How to solve systems of inequalities
Answer:
Determine whether an ordered pair is a solution of a system of linear inequalities.
Solve a system of linear inequalities by graphing
Solve applications of systems of inequalities
You can use desmos
Step-by-step explanation:
Graph x>2 on a number line.
Solve the inequality 2a<5a+12.
Determine whether the ordered pair \left(3,\frac{1}{2}\right) is a solution to the system \left\{\begin{array}{c}x+2y=4\hfill \\ y=6x\hfill \end{array}.
Determine Whether an Ordered Pair is a Solution of a System of Linear Inequalities
The definition of a system of linear inequalities is very similar to the definition of a system of linear equations.
System of Linear Inequalities
Two or more linear inequalities grouped together form a system of linear inequalities.
A system of linear inequalities looks like a system of linear equations, but it has inequalities instead of equations. A system of two linear inequalities is shown below.
\left\{\begin{array}{c}x+4y\ge 10\hfill \\ 3x-2y<12\hfill \end{array}
To solve a system of linear inequalities, we will find values of the variables that are solutions to both inequalities. We solve the system by using the graphs of each inequality and show the solution as a graph. We will find the region on the plane that contains all ordered pairs \left(x,y\right) that make both inequalities true.
Solutions of a System of Linear Inequalities
Solutions of a system of linear inequalities are the values of the variables that make all the inequalities true.
The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true.
To determine if an ordered pair is a solution to a system of two inequalities, we substitute the values of the variables into each inequality. If the ordered pair makes both inequalities true, it is a solution to the system. s
Solve for x.
please help real quick
Answer:
(7/2, 0)
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
6x-21=45
6x=66
x=11
PLZS ANSWER WILL GIVE BRAINEST
Answer:
x=50
Step-by-step explanation:
67=x+17
67-17=50
x=50
Can someone pls help me I cannot figure it out
NO LINKS FOR THE LAST TIME JUST HELP ANSWER THE QUESTION WITH A B C OR D WILL GIVE BRAINLIEST!!
Answer: letter b
Step-by-step explanation:
In which step did John first make a mistake?
look at photos
Answer:
John did not make a mistake
Step-by-step explanation:
he did everything correct
Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one pushing the car?
Answer:
One person is pushing the car in the net force of 200N
Step-by-step explanation:
600 divided by 3 (600 N in total, and 3 person pushing.)