Simplify (x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.
Here's what the subtraction looks like, when working horizontally:
(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)
x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6
x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6
–2x3 + 11x2 + 10x –10
And here's what the subtraction looks like, when going vertically:
x
3
−(3x
3
+3x
2
−8x
2
+5x
−5x
−4
+6)
In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".
\
x
3
–3x
3
−2x
3
+3x
2
+8x
2
+11x
2
+5x
+5x
+10x
−4
–6
−10
Either way, I get the answer:
–2x3 + 11x2 + 10x – 10
Factsss i be scared as hell to be in front of the classroom but when we at a dance or we go out to party...we be doin all kinds of crazy shii
Answer:
that do be true tho
Step-by-step explanation:
Answer:
shii, I can throw it back and still have straight A's
Step-by-step explanation:
best of both worlds...
у = х + 4
3х — 4у = - 19
Answer:
x=3
y=7
Step-by-step explanation:
3x-4(x+4)=-19
3x-4x-16=-19
-x-16=-19
+16. +16
________
-x=-3
×-1 ×-1
______
x=3
y=3+4
y=7
please help! BRAINLIEST to correct answer!
Answer:
A
Step-by-step explanation:
u can just test them out
Answer:
A. y = 2[tex](x - 2)^{2}[/tex] + 5
Step-by-step explanation:
positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)
In Fairbanks, Alaska, it was 13°F outside at midnight. The temperature went down 17 degrees by 6 a.m. What was the temperature, in degrees Fahrenheit, at 6 a.m.?
Answer:
13-17=-4. so -4 degrees F
Step-by-step explanation:
help me on math plz
Answer:
1/2
Step-by-step explanation:
35/70 = 1/2
Hope This Helps
John is inviting himself, Lucy, and 5 of their closest friends to the party. If there are 3
3/4 cups of yogurt, how many cups of yogurt will John and the rest of the guests at the party each equally receive? PLS ANSWER. I WILL GIVE POINTS TO WHOEVER ANSWERS FIRST.
Answer:
99
Step-by-step explanation:
After 2 weeks, a plant is 9 centimeters tall. After 5 weeks, it has grown to 15 centimeters. If the plant grows at constant rate of change, find the following equation of the line.
Answer:
y = 2x + 5
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1)
With this information, we can create 2 points: (2, 9) and (5, 15)
Plug in the points:
(15 - 9) / (5 - 2)
6 / 3
= 2
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
15 = 2(5) + b
15 = 10 + b
5 = b
Plug in the slope and b into the equation:
y = 2x + 5 is the equation of the line
where is the line or the picture
Anyone pls answer this plssssss
Answer:
a) x= 55°
b) x= 112°
c) x= 59°
Answer:
Step-by-step explanation:..
Ms. Bradley made a scatter plot with her students' individual homework averages on the x-axis and their individual average test scores on the y-axis, with both x
and y as integers between 0 and 100. She calculated the equation of the line of best fit as y=0.8z +18.
Jillian, one of Ms. Bradley's students, had a homework average of 70 and a residual of -6. What was Jillian's average test score?
Answer: 3.2z+80
Step-by-step explanation:
Whoever solves this will get BRAINLIEST answer!!! Please help me out!
Answer:
x+x+x=180
3x=180
x=180/3
x=60
1.6y+y-4/15y+1 1/6y=2 1/3
1.6y+y-4/15y+7/6y=21/3
We move all terms to the left:
1.6y+y-4/15y+7/6y-(21/3)=0
Domain of the equation: 15y!=0
y!=0/15
y!=0
y∈R
Domain of the equation: 6y!=0
y!=0/6
y!=0
y∈R
We add all the numbers together, and all the variables
1.6y+y-4/15y+7/6y-7=0
We add all the numbers together, and all the variables
2.6y-4/15y+7/6y-7=0
We calculate fractions
2.6y+(-24y)/90y^2+105y/90y^2-7=0
We multiply all the terms by the denominator
(2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0
Wy multiply elements
-630y^2+105y+(+2.6y)*90y^2+(-24y)=0
We get rid of parentheses
-630y^2+105y+(+2.6y)*90y^2-24y=0
We add all the numbers together, and all the variables
-630y^2+81y+(+2.6y)*90y^2=0
Hoped this helped :)
determine the value of x , (5)(x)=0
Answer:
x=0
Step-by-step explanation:
The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)
SOMEONE PLEASE HELP ME ITS URGENT!!!!
Step-by-step explanation:
i wanna help but i cant see can you copy and paste the question
Answer:
Step-by-step explanation:
y=5x-2
slope of the line is 5 because if we compare to
y=mx+b where m is the slope we see m=5
Points (0,-2), (2,8), (4,18)
slope between the points (0,-2), (2,8)
m=(y2-y1)/(x2-x1) = -2-8/0-2 = -10/-2 = 5
slope between the points (4,18), (2,8)
m=(y2-y1)/(x2-x1) = 18-8/4-2 = 10/2=5
slope between the points (4,18), (0,-2)
m=(y2-y1)/(x2-x1) = 18+2/4-0= 20/4 =5
Please help me with this question thank you !!
The probability that Jim drives to work is 0.20. The probability that Jim drives to work and is late for work is 0.05. The probability that Jim is late for work, given that he bikes to work is 0.30. What is the probability that Jim is late for work, given that he drives?
Round to the nearest hundredth.
Answer:
0.45
Step-by-step explan
9. What are the two forces that generate the Coriolis Effect on Earth?
heat and pressure
gravity and planetary rotation
density and salinity
gravitational pull of the Sun and Moon
Answer:
gravity and planetary rotation
James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less than Priya. How much does Siobhan make per hour?
Answer:
Siobhan makes $10.71
Step-by-step explanation:
9.00 + 40% = 12.60
Priya makes $12.60.
12.6 - 15% = 10.71
Siobhan makes $10.71
Brainliest Please!!
Find the Sum (3x^2+ 4x-1) + (-2x^2 -3x+2)
The sum of the equation is A = x² + x + 1
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 sum of the equations be represented as A
Now , the value of A is
Let the first equation be P
The value of P = 3x² + 4x - 1
Let the second equation be Q
The value of Q = -2x² - 3x + 2
Now , the value of A = P + Q
Substituting the values in the equation , we get
A = ( 3x² + 4x - 1 ) + ( -2x² - 3x + 2 )
On simplifying the equation , we get
A = ( 3x² - 2x² ) + ( 4x - 3x ) + ( 2 - 1 )
A = x² + x + 1
Therefore , the value of A is x² + x + 1
Hence , the equation is A = x² + x + 1
To learn more about equations click :
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what does 125%+28/20=
Answer:
[tex]2\frac{13}{20}[/tex]
Step-by-step explanation:
[tex]1.25 + \frac{28}{20}[/tex]
[tex]= \frac{5}{4}+\frac{28}{20}[/tex]
[tex]=\frac{25}{20} + \frac{28}{20}[/tex]
[tex]=\frac{53}{20}=2\frac{13}{20}[/tex]
Answer:
2 13/20
Step-by-step explanation:
12345678910111
Melanie used cross multiplication to correctly solve a rational equation. She found one valid solution and one extraneous solution. If 3 is the extraneous solution, which equation could she have solved?
A. The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.
B. The equation is x-3/4 = 2x-6/4x because 3 makes a numerator equal zero and is a solution if the equation derived from cross multiplying.
C. The equation is 8/x^2-9 = 5/2x-6 because 3 makes the denominator equal zero and is a solution of the equation derived from cross multiplying.
D. The equation is 8/x+3 = 12/4x-3 because 3 is a solution of both the original equation and the equation derived from cross multiplying.
Answer:
The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying. ( A )
Step-by-step explanation:
The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.
An extraneous solution is a solution that is derived from an equation that is not the original equation and when its value is plugged back into the original equation it isn't a root of the equation
PLEASE HELP NEED TO GET MY GRADE UP!!!!! ILL GIVE BRAINLST!!!!!!!
Answer:
A gardener harvested 20 tomatoes from 5 plants
Step-by-step explanation:
20 ÷ 5=4
Answer:
D) A gardener harvested 20 tomatoes from 5 planets
Step-by-step explanation:
Because:
20 ÷ 5 = 4
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Matt can walk 500 m from his home on King Street, and then 900m along Queen Street to go to his school. He can also walk across a diagonally across a park from his home to his school. Assuming King Street and Queen Street meet at right angles, how far does he walk across the park to go to school?
Answer:
He walks 1030 meters if he walks across the park.
Step-by-step explanation:
In order to solve this question we will need to know that [tex]c^{2} = a^{2} + b^{2}[/tex] (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....
Let "c" be the distance he will need to walk if he was going to go through the park
Let "a" be the distance he walks on King Street
Let "b " be the distance he walks on Queen Street, then.....
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
(Now plug in the values of a and b and get.....)
c = [tex]\sqrt{500^{2} + 900^{2} }[/tex]
c = [tex]\sqrt{1060000 }[/tex]
c = 1029.563014............
So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.
What does it mean by implied info, also can you please tell me the answer! Thanks
Look at the pic attached
Answer:
The definition of implied is something that was hinted at or suggested, but not directly stated. When a person looks at his watch and yawns multiple times as you are talking, this is an example of a situation where boredom is implied.
in which number is the digit 9 one-tenth as much than it is in the number 75,974
Answer:
In the number 36,521 the digit 5 is in one position lower than it is in the provided number, which means it's value is 1/10th of the original digit.
Step-by-step explanation:
30 POINTSSS !!!! WILL MARK BRAINLLEST !!!!
During 16 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:
79 82 80 80 74 84 84 79 64 78 73 78 74 86 45 53
Create a box and whisker plot for this data
Determine whether or not there are outliers present
In the form of a paragraph, explain in complete sentences the steps necessary to create the box and whisker plot and to determine whether or not outliers are present. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
The shape is skewed to the left since there are more numbers on the right than on the left (i.e., there is a tail on the left).
All but three numbers are less than 70. Only one number is in the 60s and no numbers are in the 50s. The numbers 45 and 48 are very likely to be outliers. He might have injuries in these seasons that caused him to play fewer games than usual.
Simplify the expression:
9(–4 + 4b)
Answer:
-36+36b
hope this helps
Answer:
-36+36b
Step-by-step explanation:
9×-4=-36 and 9×4b is 36b
.....................................................
Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. Y=
Answer:
The equation of the line is;
y = 3x + 18
Step-by-step explanation:
We want to write the equation of the line through (-9,-9) and (-6,0)
we start by calculating the slope of the line
m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3
The general equation of the line is;
y = mx + c
y = 3x + c
To get c, we use any of the points
we substitute for example -6 for x and 0 for y
0 = 3(-6) + c
c = 0 + 18 = 18
So the equation of the line is;
y = 3x + 18
Answer:
3x+18
Step-by-step explanation:
Let's find the slope:
Slope
=
0
−
(
−
9
)
−
6
−
(
−
9
)
=
9
3
=
3
Slope
=
−6−(−9)
0−(−9)
=
3
9
=3
The equation is
y
=
3
x
+
b
y=3x+by, equals, 3, x, plus, b for some
b
bb.
Hint #22 / 3
Let's plug the point
(
−
6
,
0
)
(−6,0)left parenthesis, start color #11accd, minus, 6, end color #11accd, comma, start color #ed5fa6, 0, end color #ed5fa6, right parenthesis to find
b
bb:
y
=
3
x
+
b
0
=
3
(
−
6
)
+
b
0
=
−
18
+
b
18
=
b
y
0
0
18
=3x+b
=3(−6)+b
=−18+b
=b
Hint #33 / 3
The equation is
y
=
3
x
+
18
y=3x+18y, equals, 3, x, plus, 18.
4) Which pair of triangles is congruent by Angle - Angle- Side?
We want to see which pair of triangles is equivalent by the Angle-Angle-Side criteria.
The correct option is 2, where we have two equal angles, and the bottom side is equal in both triangles.
The Angle-Angle-Side criteria means that if two triangles have an equal side, and the two correspondent angles also are equal, then these triangles are equivalent.
So we just need to see (by notation, not by how the triangles look like) in which ones we have two equal angles and one equal side.
That one is the second pair of triangles.
We can see that the two top angles are equal (two curves) and that the left angle in the left triangle is equal to the right angle on the other triangle (so we have two equal angles).
Also, the bottom side is equal on both triangles.
Then the angle-angle-side criteria is meet, meaning that these two triangles are equivalent.
If you want to learn more, you can read:
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What is the slope of the graph below?
Answer:
-3/2
Step-by-step explanation: