Answers
Answer:
[tex]x^{4}[/tex] + 4x³ - 3x² - 6x - 1
Step-by-step explanation:
By subtracting x³ - 3x² + x - 1 , that is
[tex]x^{4}[/tex] + 5x³ - 6x² - 5x - 2 - (x³ - 3x² + x - 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 5x³ - 6x² - 5x - 2 - x³ + 3x² - x + 1 ← collect like terms
= [tex]x^{4}[/tex] + 4x³ - 3x² - 6x - 1
Step-by-step explanation:
x⁴ + 5x³ - 6x² - 5x - 2
should become
x³ - 3x² + x -1
so, what do I need to subtract from the top terms to get the bottom terms ?
because we can only look from one x- term to the next. we can only combine them, when they have the same x exponent.
so, we see there is no x⁴ in the desired result.
therefore, we know as a first item that x⁴ had to be subtracted.
the next x exponent is 3.
we have 5x³ on the top, and x³ on the bottom.
so, clearly, we need to subtract 4x³ as second term.
the next x exponent is 2.
we have -6x² on the top, and -3x² on the bottom.
so, we should actually add 3x². and how do we do this in a subtraction ? by subtracting a negative value, which actual adds it.
so, we need to subtract -3x² as third term.
the next x exponent is 1 (just x).
we have -5x on the top and x on the bottom.
so, the same trick as before, as we need to add something.
so, we need to subtract -6x as fourth term.
and finally, the x exponent 0, which just shows the constant numbers.
we have -2 on the top and -1 on the bottom.
again the same trick to actually add 1.
we need to subtract -1 as fifth term.
so, in total, this is what we need to subtract from the top line to get the bottom line :
x⁴ + 4x³ - 3x² - 6x - 1
Related Questions
BRAINLIEST AWAITS!
solve these problems and own 15 points and brainliest!
Answers
Answer:
Step-by-step explanation:
9) a = 2 ; b = 6
a) a + b = 2 + 6 = 8
b) b - a = 6 - 2 = 4
c) ab = 2 * 6 = 12
10) c = 12 ; d = 4
a) c ÷ d = 12 ÷ 4 = 3
b) c + d = 12 + 4 = 16
c) c - d = 12 - 4 = 8
Select the correct answer. Which statement best defines a circle?
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
B. the set of all points in a plane that are the same distance from a given point called the center
C. the set of all points that are the same distance from a given point called the center
D. points in a plane that surround a given point called the center
Answers
Answer:
A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center. hope this helps
Step-by-step explanation:
- Zombie
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
What is a circle?A circle is defined as a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A circle can be characterized by its center's location and its radius's length.
The statement best defines a circle is A. the set of all points in a plane that are the same distance from each other surrounding a given point called the center.
Learn more about circle here:
https://brainly.com/question/10165274
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6-5(2x-3)=4x+7
Solve for x
Answers
Answer:
1
Step-by-step explanation:
6 - 5(2x-3) = 4x + 7
-5(2x-3) = 4x + 1
-10x + 15 = 4x + 1
-14x = -14
14x = 14
x = 1
Find n.
3/10 = n/50
PLEASE HELP ME
Answers
Answer:
[tex] \frac{3}{10} = \frac{n}{50} \\ \frac{3}{10} \times 50 = n \\ 3\times 5 = n \\ 15 = n \\ thank \: you[/tex]
A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer
wants to answer the question "What is the typical distribution of colors in a package of candy?" Which data collection
method should
be used?
Answers
Answer:
Quantative data
What is 2 3/7 (mixed fraction) in proper fraction?
Answers
Answer:
17/7
Step-by-step explanation:
You got to multiply 7 and 2 by doing so you will get 14 and you need to add 14 and 3 and you will get 17.
So yeah I hope it helps....
of 2+2= fish then what does 7+7=?
a. 14
b. triangle
c. what are you talking about 2+2=4 so 7+7= 14
d.ummmmmmmmm are you ok?
Answers
Answer:
a.14
Step-by-step explanation:
2+2 =4
7+7= 14
I hope it helpful
Please explain this is math homework
Answers
Answer:
use math-way. it helps a lot !
Step-by-step explanation:
Find the measures of the indicated angles pictures included!!!
Answers
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
Graph y = - 1/2r-6 AND GIVE ME THE RIGHT ANSWER.
Answers
Hello!
Are you in algebra?
Here is how to solve and graph.
First, look for the slope and y-intercept of your equation.
y = - 1/2r-6
The y intercept is, -6
The slope is -1/2
the variable r, is another way to represent x, as it is just a variable.
now that you have all that information, plot -6 on the graph, -6 should be on the y- axis.
from that point, move down one space and move right two space. complete this step multiple times.
Now please look at the photo, and Here's what the graph should look like.
General house cleaning (sweeping the floors, vacuuming, laundry etc.)
Answers
Answer:
sleeping the floor and vacuuming
liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. How many cups of oatmeal that Liam had left in the container at the end of the five-day week
Answers
Answer:
3 5/18 cups of oatmeal are left in the container.
Step-by-step explanation:
4/9 times 5 = 20/9
5 1/2 = 11/2
11/2 - 20/9 = 99/18 - 40/18
= 59/18
= 3 5/18
what's the square root of 39/196
Answers
Answer:
546
Step-by-step explanation:
What is the solution
y=-x+2
y=-3x-2
Answers
Answer: (-2, 4)
Concept:
There are three general ways to solve systems of equations:
Elimination: using addition/subtraction to cancel out variables.Substitution: when two variables appear in both equations and are isolated, they could substitute each other.Graphing: graph the equations to find the intersection for the solution.Here we are going to use substitution since the variable [y] is being isolated in both equations.
Solve:
Given equations
y = -x + 2
y = -3x - 2
Using the method of substitution to combine the equations
-x + 2 = -3x - 2
Add 3x on both sides
-x + 2 + 3x = -3x - 2 + 3x
2x + 2 = -2
Subtract 2 on both sides
2x + 2 - 2 = -2 - 2
2x = -4
Divide 2 on both sides
2x / 2 = -4 / 2
[tex]\boxed{x=-2}[/tex]
Find the y value
y = -x + 2 →→→ Given expression
y = -(-2) + 2 →→→ Substitute values into the expression
y = 2 + 2 →→→ Simplify the value
[tex]\boxed{y=4}[/tex] →→→ SImplify by addition
Hope this helps!! :)
Please let me know if you have any questions
I WILL GIVE CORRECT ANSWER BRAINLIEST
Three students were given the expression 2 - 7(3x – 4) to simplify
Use the drop-down menus to complete the statements about whether each student's
answer is an equivalent expression.
Then choose an expression that is equivalent
Answers
Answer:
Tessa's expression is false because -7 times -4 is positive 28, not -28.
Bernette's expressionis false because you must distribute the -7 before subtracting 7 from 2 (peMdas)
Lucy's expression is true because she correctly distributed the -7 to each of the terms in the parentheses and used PEMDAS.
2-21x+28
The equivalent expression for the given expression is 2-21x+28.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Tessa:
2-7(3x-4)=2-21x-28
Tessa's equivalent expression is wrong. Because -7×(-4)=28 not -28.
Bernette:
2-7(3x-4)=-5(3x-4)
Bernette's equivalent expression is wrong. Because, you can not 2 and 7, since 7 is multiplied to the term 3x-4
Lucy:
2-7(3x-4)=2-21x+28
Lucy's equivalent expression is correct.
Therefore, the equivalent expression is 2-21x+28.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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You have invited friends over
to watch movies. You have rented 4 movies:
one action, one science fiction, one comedy,
and one animated. In how many different
orders can you watch the movies?
Answers
Answer:
16
Step-by-step explanation:
Each could be watched in the places of 1,2,3 or 4. So each movie has 4 places it could be. Since you rented 4 movies you would do 4x4 which equals 16.
4x3/2=6
Find the x-intercept and y-intercept for the graph of 27x - 18y = 54
A.
x-intercept = 0.5, y-intercept = 0.3
B.
x-intercept = 2, y-intercept = -3
C.
x-intercept = 3, y-intercept = -2
D.
x-intercept = 4, y-intercept = 3
Answers
Explanation:
Notice that when x = 0 the value of y is 3/-1 so this line "cuts" the y axis at y=-3.00000
y-intercept = 6/-2 = 3/-1 = -3.00000
When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000
x-intercept = 6/3 = 2
Answer:
x-int=0.5 & y-int=3.4 you option are wrong
determine b so that the line with equation 5x + by - 6 = 0 is perprdicular to the line with equation 7y = 4x + 7
Answers
9514 1404 393
Answer:
b = 20/7
Step-by-step explanation:
The slope of the first line can be found by solving for y:
by = -5x +6 . . . . . . add 6-5x
y = -5/b +6/b . . . . . divide by b
The slope is -5/b.
The slope of the second line can be found by solving for y:
7y = 4x +7
y = 4/7x +1 . . . . . . divide by 7
The slope is 4/7.
For the lines to be perpendicular, the product of these slopes must be -1:
(-5/b)(4/7) = -1
-20/(7b) = -1 . . . . simplify
b = 20/7 . . . . . . . multiply by -b
The lines will be perpendicular when b = 20/7.
A coin is made from copper and nickel.
84% of its weight is copper.
16% of its weight is nickel.
Find the ratio of the weight of copper to the weight of nickel.
Give your ratio in its simplest form.
Answers
Answer:
the correct answer is 21:4.
Step-by-step explanation:
the original ratio is 84:16 but you divide 84 by 4 and 16 by 4 and you get 21:4
2x^2-y if x=3 and y=8
Answers
Answer:
= 10
Step-by-step explanation:
x = 3
y = 8
just replace that x and y with the values given
[tex]2x^{2}[/tex] - y
2 ([tex]3^{2}[/tex]) - 8
2 (9) -8
18 - 8
= 10
Because of PAMDAS you do 3 to the second power first which equals 9. 9x2 is 18. And then 18 - 8 = 10. In all, You just plug x and y in and then solve by PAMDAS.
Here's an easy question for points: 5 x 2/6 =
Answers
You can simplify that to 5/3
Answer:
Step-by-step explanation:
15
a:b=2:3
b:c= 5:6
Show that a:c=5:9
Answers
Answer:
see explanation
Step-by-step explanation:
Expressing ratios in fractional form, then
[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{5}{9}[/tex]
That is a : c = 5 : 9
Select all that apply
Answers
Answer:
For both sets of data, the median is equal to the mean.
The interquartile range (IQR) is greater for M's classes than J's classes.
Step-by-step explanation:
J's Classes:
23, 25, 27, 28, 32
Median: 27
Mean: 27
Mean Absolute Deviation: 2.4
Interquartile Range: 3
M's Classes:
20, 24, 26, 29, 31
Median: 26
Mean: 26
Mean Absolute Deviation: 3.2
Interquartile Range: 5
Solve for x and show work I will mark brainlyest
3(x-2) + 7 = 2(x+5)
Answers
Answer:
Step-by-step explanation: please do mark as brainliest
Can someone help me with this ?
Answers
pranav drove for 3 hrs
Distance = speed x time
Pranav =50kmh x 3hrs
= 150 km
* note that they drove the same distance
Speed of mark=distance / time
=150 km / 5hrs
= 30 kmh
Ok my question is What is the missing number in the pattern above?
7,680 , 1,920, ______ , 120 , 30 ?
and my options are : A. 210 B. 480 C. 900 D. 1,440
Answers
answer is option B 480 because it is getting reduced by 4 times at Evey step
Answer:
30*4=120
120*4=480
answer=480
Step-by-step explanation:
HELP!!! WILL MARK BRAINLIEST!!!
Patrick has a bag of sugar that contains 5/6 kg
He uses 3/5kg of sugar to make a cake.
How much sugar does Patrick have left?
Answers
Answer:
7/30
Step-by-step explanation:
5/6-3/5 ,the LCM of denominators 6 and 5 is 30 ,6 denominator divided by 30 the result from the LCM times 5 the numerator is =25, 5 denominator divided by 30 the result from the LCM times 3 is =18 ,then subtract 25 from 18 giving you 7 ,then 7/6 or seven divided by six is one whole number, one over six
PLEASE!!! Distribute 1/2 (4x -8)
Answers
[tex]\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=2x-4[/tex]
Hope this helps :)
[tex]\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=\\\\=\frac{4x}{2}-\frac{8}{2}=\boxed{2x-4}[/tex]
Lee weighs 130 4/5 pounds. He lost 5.2 pounds then gained 3 pounds. What is Lee's
current weight? Write an expression and solve.
Answers
Answer:
128.6 pounds
Step-by-step explanation:
130 4/5 - 5.2 + 3
=, 128.6pounds
What is the mean of the data set: 12. 19, 38, 52. 55 Answer must be to the tenths
place to be counted correct.
Answers
[tex]\boxed{\sf Mean=\dfrac{Sum\:of\:terms}{No\:of\:terms}}[/tex]
[tex]\\ \sf\longmapsto Mean=\dfrac{12+19+38+52+55}{5}[/tex]
[tex]\\ \sf\longmapsto Mean=\dfrac{176}{5}[/tex]
[tex]\\ \sf\longmapsto Mean=35.2[/tex]
