if the difference (3x2 - 2x + 5) – (x2 + 3x - 2) is multiplied by 1/2x^2,
what is the result, written in standard form?
Answers
4x^4-10x^3+14x^2
The result of the given equation [tex](3x^2 - 2^x + 5) -(x^2 + 3x - 2)\\[/tex] is [tex]4x^4-10x^3 + 14x^2[/tex]
What is cubic polynomial ?"Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers"
"The general form of a cubic polynomial is p(x): ax3 + bx2 + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers. An equation involving a cubic polynomial is called a cubic equation. "
The given equation is given as[tex](3x^2 - 2^x + 5) - (x^2 + 3^x - 2)[/tex]
Solving it ,we get [tex]2x^2 - 5x +7[/tex]
Now multiplying it by [tex]1/2x^2[/tex] gives us [tex]4x^4-10x^3 + 14x^2[/tex]
Hence the answer is [tex]4x^4-10x^3 + 14x^2[/tex]
To know more about cubic polynomial here
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Related Questions
what is the measure of angle x?
Answers
Answer:
C
Step-by-step explanation:
first we want to find the missing angle at the top
to do that we subtract the given angles by 180
the square indicates that the angle is a right angle or that it equals 90
180-90-40=50
we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180
180-50-130 so the answer is c
have a great day :D
Brian ate 2/3 of a pizza. His friend, Joseph ate 1/4 of what was left. How much pizza did joseph eat?
Answers
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{12}[/tex]
[tex]\frac{12}{12}[/tex] - [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{12}[/tex]
[tex]\frac{4}{12}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{48}[/tex] = [tex]\frac{1}{12}[/tex]
The diagonal of a rectangle is 13 units. One side of the rectangle is 12 units. Find the length of the shortest side of the rectangle.
Answers
Answer:
Diagonal of the rectangle = 13 units c =13
side of rectangle = 12 units a = 12
area of the rectangle = l× b
In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.
formula ; a²+b²=c² a = 12 , c = 13
12²+b² = 13²
144 + b² = 169
b² = 169 - 144
=25
b = 5 units
a = 12 units
Step-by-step explanation:
I need help with this guys. Name the measures of the missing angles?
Answers
1 = 52°
2= 52°
3= 128°
4= 52°
5= 128°
6= 52°
7= 128°
I would appreciate brainliest if this was helpful! :)
2.52
3. 128
4.52
6.52
5. 128
7.128
This is the last question until spring break. You can answer with A or B, Both, or neither :)
Answers
Answer:
both
Step-by-step explanation:
What is the side lengths, in inches, of a cube with a volume of
1
1 cubic inch?
Answers
Answer:
1 in3 (3 is above inches)
Step-by-step explanation:
can I please have brainliest? :)
Decrease R1400 in the Ratio 7:3
Answers
Answer:
Step-by-step explanation:
It's hard to tell what you mean. I'm going to assume you mean that you want what is left to be 3/7 less.
1400 - 3/7 1400 = 1400 - 600 = 800
The value of R1400 when decreased by the ratio 7:3 is R600.
What is the value of R1400 when it is decreased?Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.
R1400 X 3/7 = R600
To learn more about ratios, please check: https://brainly.com/question/25927869
Find all the missing sides and angles (picture attached)
Answers
Answer:
[tex]\boxed{x=73.74}[/tex]
[tex]\boxed{y=16.26}[/tex]
[tex]\boxed{z=25}[/tex]
Step-by-step explanation:
Hello there!
Algebra 1
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c
[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]
so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
Trigonometry
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]
now we solve for y
[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]
then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
basic geometry
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74
The graphs below were created by an advertising agency for the computer store TechPlus to show its average price on laptops and desktops compared to another computer store's prices.
Which of the following statements best explains how the advertising agency misrepresented the data?
The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.
The graphs were created with different colors.
The graph for CompStar makes its prices appear much higher, but its prices are only a little higher.
The graphs do not include tablet computers, so there is not enough information to compare their prices.
Answers
The misrepresentation lies in the fact that ; The graphs use different scales, making it appear that the prices at TechPlus are much lower than CompStar.
Taking a look at both graphs, it could be observed on the y - axis that the graphs do not follow the same scale.
For CompStar, the y-axis which shows the price of laptops and desktops starts it's labeling from $0 ; while TechPlus's labeling began from $600
This representation means that comparing the two graphs would give an erroneous inference as it would make the price of TechPlus appear lower than that of Complus.
Learn more : https://brainly.com/question/1370154?referrer=searchResults
Pennsylvania has a sales tax of 6%. The city of Philadelphia adds an extra local sales tax of 2%. Both taxes apply to the original price of an item. If the shelf price of a bottle of sports drink is $2 in Philadelphia, PA, which expressions can be used to show the total taxes you would expect to pay?
Answers
Answer:
For the regular tax in Pennsylvania, it would be 12 cents or $0.12. For Philadelphia, it would be 4 cents or $0.04. I got these two amounts by multiplying 2 times 6 or 2 percent, aka 0.06 and 0.02. If you added the two together, you would get, $0.16 or 16 cents. You would then add that to the two dollars and end up with $2.16 or two dollars and sixteen cents. I hope this helps.
Step-by-step explanation:
given the number 48 increase the number by the ratio 2 :8
Answers
Answer:
192
Step-by-step explanation:
look at the given picture
1. What is the solution to the inequality 10x > 140? Show your work
A. X > 14
C. x > 130
B. x < 14
D x <130
I
Answers
Answer: A. X > 14
Step-by-step explanation:
1. 10x > 140. We need to eliminate that 10 so it is just X. So, we divide both numbers.
2. 10 / 10 = 1, so it just becomes x
3. Now, we divide the other side.
140 / 10 = 14
hope that helps!
Parallel lines and tranvsveral
Answers
Answer:
angle 6=54*
Step-by-step explanation:
Transversal lines/alternate angles theorem
Jo said 565 times 34 one half is 595111 eight fourths is she correct. If not what is the correct answer.
Answers
Answer: Incorrect, 19492.5
Step-by-step explanation:
Given
Jo said 565 times 34 one half i.e. [tex]565\times 34\ \dfrac{1}{2}[/tex] is [tex]595111[/tex]
Solving for a mixed fraction
[tex]\Rightarrow 565\times \dfrac{34\times 2+1}{2}\\\\\Rightarrow 565\times \dfrac{69}{2}=\dfrac{38985}{2}=19492.5[/tex]
Clearly, [tex]19492.5\neq 595111[/tex]
Thus, Jo is wrong
Question 4 please. I will mark brainliest!! i would at least like the equation of the graph thank you
Answers
Answer:
a. -3 < x ≤ 5
b. -3 ≤ y < 3
c. (0, 0)
d. x = -3, x = 1, x = 5
e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. (-1, -1), and (3, -3)
Step-by-step explanation:
a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5
b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3
c. The y-intercept is the point the graph crosses the y-axis
The y-intercept in the graph is the point (0, 0)
d. f(x) ≥ 0 when x = -3, x = 1, x = 5
f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5
e. The intervals over which f(x) is decreasing are;
-3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. The local minimums where f(x) has the minimum values are;
(-1, -1), and (3, -3)
A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television
Answers
Answer:
The cost is $280.99
Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99
Tina charges $94.50 for a job. How long did she babysit for?
Answers
this doesn't make sense
Help plz ASAP nowwwwwwww
Answers
Answer:
y = -3/4x + 5/4
Step-by-step explanation:
Points: (7, -4) and ( -1, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2+4)/(-1-7)
m=6/(-8)
m= -3/4
Slope-intercept:
y - y1 = m(x - x1)
y + 4 = -3/4(x - 7)
y + 4 = -3/4x + 21/4
y = -3/4x + 5/4
Answer:
y = -3/4x + 5/4
Step-by-step explanation:
Hope this helps
Martin needs to ship a box that weighs 12,000 grams. How should be move the decimal point to convert this number
to kilograms?
O 3 places to the left
O 3 places to the right
O 2 places to the left
O 2 places to the right
Answers
(1 gram=0.001 kilograms)
Simply the expression 6x + 1 - ( 3x -1 )
Answers
Answer:
3x+2
Step-by-step explanation:
distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2
Please help me with this
Answers
Answer:
i cant see it...
Step-by-step explanation:
...
2x2 what is the answer
Answers
Answer:
4!
Step-by-step explanation:
What is the perimeter of an octagon if each side is 7 inches in length?
Answers
Answer:
an octagon has 8 sides
8 x 7 = 49 inches
Step-by-step explanation:
Please help! 18/20. Will give brainliest! Spam answers will not be tolerated!
Factor. [tex]2x^5-7x^3-4x[/tex]
Answers
[tex]{ \sf{ \: factorise \: \: \: { \underline{ \green{2 {x}^{5} - 7 {x}^{3} - 4x}}}}} \\ \\ { \dashrightarrow{ \blue{ \sf{taking \: x \: common}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{ \:x(2 {x}^{4} - 7 {x}^{2} - 4)}}}} \\ \\ { \dashrightarrow{ \sf{ \blue{let \: {x}^{2} be \: equal \: to \: a}}}} \\ \\ { \leadsto{ \sf{ \green{ \: x( 2{a}^{2} - 7a - 4)}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{x(2 {a}^{2} - (8a \: - a) - 4}}}} \\ \\ { \leadsto{ \sf{ \green{x(2 {a}^{2} - 8a + a - 4)}}}} \\ \\ { \leadsto{ \sf{ \green{x(2a(a - 4) + 1(a - 4))}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{x(2a + 1)(a - 4)}}}} \\ \\ { \sf{ \: now \: putting \: the \: value \: of \: a}}[/tex]
[tex]{ \leadsto{ \green{ \sf{x(2 {x}^{2} + 1)( {x}^{2} - 4)}}}} \\ \\ { \leadsto{ \green{ \sf{ x( {x}^{2} + 1)( {x}^{2} - {2}^{2} )}}}} \\ \\ { \leadsto{ \green{ \sf{x( {x}^{2} + 1)(x + 2)(x - 2)}}}}[/tex]
Today, the price of a new cell phone is $129.
In 2000, the price of a similar cell phone was $240.
What is the percent of change in the price of a cell phone from 2000 to today? Round to the nearest whole percent.
Answers
Answer:
54%
Step-by-step explanation:
129/240 = 0.5375 (divided to find the % change)
0.5375 * 100 (to convert decimal to percent form)
53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)
3y^4+9y^3-120y^2=0 Need Answer ASAP
Answers
Answer:
y = 0 , 5 , − 8
(*￣3￣)╭
[tex]3y^4+9y^3-120y^2=0\\y=0,5,8[/tex]
Tina realizes that she needs to figure out the answer to the question, "How many groups of 1/12 are in 2?"
Answers
Answer:
24
Step-by-step explanation:
To find how many 1/12 are in 2 divide 2 by 1/12
2/(1/12) = 2 x 12 = 24
A cat can eat 1/2 of a bag of food in 3/4 of a month. How much food can the cat eat in 1 month
Answers
Answer:
the cat can eat 1 1/4 bag of cat food n 1 month
Step-by-step explanation:
brainliest plzMultiply. Reduce if possible, if you can simplify, what is the GCF you used ? what is 3/7 x 2/4
Answers
Answer:
3/14
Step-by-step explanation:
What is the solution of the system of equations?
y=2x-3
5x +y = 11
Answers
Answer:
(2,1)
x=2 y=1
Step-by-step explanation:
Step by step answer
x=2 y=1