select the correct answer
Answer:
a) We get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) We get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) We get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes
Step-by-step explanation:
We are giving the polynomial equations:
[tex]A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1[/tex]
We need to find
a) A+B
[tex]A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\[/tex]
So, we get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) A-B
[tex]A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\[/tex]
So, we get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) A . B
[tex]A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2[/tex]
So, we get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes
Question 1a: Given the function below. find f(-2)
f (x) = x2 + 4x - 5
E
Your answer
Need help with math bell ringer
Answer:
y = 2
Step-by-step explanation:
Slope that passes through two points, (10, y) and (3, 4) = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Where,
[tex] (10, y) = (x_1, y_1) [/tex]
[tex] (3, 4) = (x_2, y_2) [/tex]
m = -²/7
Plug in the values
[tex] \frac{-2}{7} = \frac{4 - y}{3 - 10} [/tex]
[tex] \frac{-2}{7} = \frac{4 - y}{-7} [/tex]
Cross multiply
[tex] -2*-7 = 7(4 - y) [/tex]
[tex] 14 = 28 - 7y [/tex]
[tex] 7y = 28 - 14 [/tex]
[tex] 7y = 14 [/tex]
Divide both sides by 7
y = 2
Two factors are multiplied, and their product is 32.3046. One factor is a whole number. How many decimal places are in the other factor? Tell how you know.
Step-by-step explanation:
a whole number has 0 decimal places (after the decimal point, meaning on the right side of the decimal point).
so, all the decimal places (4) must come from the other factor.
a multiplication by a whole number is always a series of additions of the other factor with itself. if anything, such a multiplication eliminates decimal places. it does not create additional ones.
e.g.
3.06 × 5 = 15.3 (because it is actually 15.30, but trailing 0s don't have any value like leading 0s, and are normally skipped).
the increase in the decimal places happens by involving places with higher value : 1/10 has a higher value than 1/100, that has a higher value than 1/1000, and so on.
so, e.g. 0.2×9 = 1.8 (and not 0.18).
as it is 2/10 × 9 = 18/10 = 1.8
an addition cannot create suddenly new decimal places with lower value.
therefore, normally we would say the other factor has 4 decimal places.
but in reality, it is a I said above, the 4 decimal places of the result of the multiplication "come from the other factor".
we cannot say that the other factor has 4 decimal places, because it could have more, and the multiplication with the whole number removed some.
e.g. 3.6 × 5 = 18 (or 18.0).
so,
32.3046 could be 6.46092 × 5
when we think this through, the other factor could have infinitely many decimal places.
like 5/9 × 108 = 0.555555... × 108 = 60
or our number
32.3046 could be 0.2991166666... × 108
so, all we can say, the other factor must have at least 4 decimal places.
A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square
A(x) =
The side of the square shape is calculated as 4cm.
What is meant by square?A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral and equiangular one).
A square has 4 axes of symmetry and two finite diagonals that are equal (as with any rectangle). A square divided by a diagonal yields two right triangles.As, a wire is 32-centimetre-long,
If we cut this same wire in half, the result should be 1/2 of total of
32/2 = 16
In addition, the square has four equal sides.
16/4 = 4
As a result, the square's sides should be 4 cm.
To know more about the square, here
https://brainly.com/question/25092270
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The complete question is-
A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square. Calculate the side of square.
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
Please please help me!!
solve the system of equations.
{ x= 3y + 4
{3x - 9y = 12
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The solution of the system is __ ( simplify your answer. Type an ordered pair.)
B. The solution set of the system {(x,y)| x = 3y+4}.
C. The solution set is ∅.
Answer:
infinite solution
Step-by-step explanation:
if substitute 3y+4 Into 3x your equation should be 3(3y+4)-9=12 then you multiply and combine like terms then your answer should be 12=12 which is a true statement meaning it has infinite solutions
What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
Learn more about volume of cylinder on:
brainly.com/question/9554871
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Design a closed rectangular box of width w, length l, and height h. The sides of the box cost 1 cent/cm2 and the top and bottom cost 2 cent/cm2 . (a) Write an equation for cost (in cents) in terms of w, l, and h. Use lower case letters.
Answer:
Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w
Step-by-step explanation:
We are given
A rectangular box with dimensions
Width = w
Length = l
Height = h
This needs to be visualized in 3D
First type of Sides of the box is made using the width and height
second type is made using length and height
Area of the 1st two sides = 2*w*h
Area of the 2nd type of sides = 2*l*h
Area of the top and bottom = 2*l*w
Cost for sides = 1cent/cm^2
Cost of the sides calculated = cost* Area= 1*(2*w*h+2*l*h)
= 2h(w + l)
similarly
cost of top and bottom = 2*2*l*w = 4*l*w
Total Cost = 2h(w + l) + 4l*w
height of cylinder is 24 mm and 8 mm radius whats the volume
Answer:
4825.49 mm^3
Step-by-step explanation:
V = (pi)(r^2)(h)
(pi)(8^2)(24) = 4825.48632 (round) 4825.49
hopefully this is right i haven't done cylinders in a while lol
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
One-half x = 36 + 5
One-half (x minus 5) = 36
One-half (x + 5) = 36
One-half x + 5 = 36
Answer:
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Step-by-step explanation:
Let 'x' be the number of rocks George had.
As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks
It means after getting 5 new rocks George's total rocks = 72
Given that he gave half collection to Susan = 36
Thus, before inducting 5 new rocks Georg's total rocks were = 67
Thus,
1/2 (x+5) = 36 should be the correct equation.
solving
1/2 (x+5) = 36
Multiplying both sides by 2
1/2 (x+5) × 2 = 36 × 2
x+5 = 72
x = 72 - 5
x = 67
Thus, before getting 5 new rocks, the number of rocks George had = 67
Therefore,
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Answer:
c
Step-by-step explanation:
A lawn is 10,000 sq. feet. Ken can mow 1/4 of the lawn in 1/5 of an hour. Katie can mow 3/5 of the lawn in 2/6 of an hour.
a) Who mows the entire lawn faster?
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $ John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $
Answer:200
Step-by-step explanation:
All you have to do is add.
Answer:
25
Step-by-step explanation:
because its simple math
anyways have an nice day
I need help thank you
Answer:
[tex]4x^2-x+8[/tex]
Step-by-step explanation:
First expand [tex](x-8)^2[/tex].
[tex](x-8)(x-8)=x^2-16x+64[/tex]
Now Add:
[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]
We want this:
3x^2 + 15x - 56 + (x - 8)^2
First, expand (x - 8)^2 using FOIL.
So, (x - 8)^2 = (x - 8)(x - 8).
(x - 8)(x - 8) = x^2 - 16x + 64.
We now add like terms.
3x^2 + 15x - 56 + x^2 - 16x + 64
4x^2 - x + 8
Done.
Whats the slope for y=3x+5
1. 3
2. 5
Answer: The slope is 3
Step-by-step explanation:
y=3x+5
Slope intercept form formula is y=mx+b
m stands for slope
b stands for y-intercept
Therefore the slope is m which is 3
Need help wit dis question
Answer:
A
Step-by-step explanation:
you have to count the x and y variables so 1 is one up from the x and 2 right because its positive and 3 is right because its positive also if I get it wrong I'm sorry
Use the point-slope form to write the equation of a line that passes through the point (-20,-16) with slope -1−1.
(It must be a y=mx+b answer please)
Every month, Theresa sets aside $410.60 of her paycheck to use as spending money. This month, she plans to use 2/5 of her spending money for groceries. How much money would Theresa have this month to spend on items other than groceries?
Answer:
246.36
Step-by-step explanation:
Which of these equations represent functions where x is the input and y is the
output
y = 2x-A
y = 2-B
y = 2y-C
x+y = 2-D
x-2-E
Answer:
y=2x-A
Step-by-step explanation:
Which of the following is NOT a transformation?
Translation
Reflection
Rotation
Construction
Dilation
What number does b stand for in this equation?
3b = 12
Answer:
4
Step-by-step explanation:
3x4=12
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
What is the equation of the ine?
Answer:
Step-by-step explanation:
x=0 is the equation because is just a vertical line
Answer: X=0
Step-by-step explanation:
What is an equation of the line that passes through the points (0,6)and (-5,2) ? Put
your answer in fully reduced form
Given that,
Points are (0,6) an (-5,2).
To find,
The equation of line that passes through the given points.
Solution,
We have, x₁ = 0, x₂ = -5, y₁ = 6 and y₂ =2
The equation of line can be calculated as :
[tex]y-y_1=m(x-x_1)\\\\y-6=\dfrac{2-6}{-5-0}(x-0)\\\\y-6=\dfrac{-4}{-5}x\\\\y-6=\dfrac{4}{5}x\\\\5y-30=4x\\\\5y-4x=30[/tex]
So, the required equation is 5y-4x=30.
If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
Supposed the profit from the sale of a product in a week is
P(x)=16x-100-0.1x²
There is a limit in the production of the product at 100 units for the week.
What level of production will yield a profit of $180
Step-by-step explanation:
180 =16x-100-0.1x2
-0.1x2+16x-280=0
x2-160x+2800=0
S=160
P=2800
DELTA=160*160-4*2800
DELTA=25600-10800
DELTA=14400
x1,2=160+/-
[tex] \sqrt{14400[/tex]
divided by 2
x1,2=160+/-120 div by 2
x1=140
x2=20
You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round down don't include parrial portions
kate used a 30% off coupon to purchase a sweater. if she saved $14.40, what was the original price of the sweater?
PLS ANSWER ASAP, 50 POINTS + BRAINLIEST (pls give explanation aswell.
Answer:
pet care will be cheaper
Step-by-step explanation:
pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45
boarding(in total)
(week-long vacation)
pet care=30x7=210
fidos=28x7=196
bathing (in total)
pet care=15x7=105
fidos=27x7=189
total cost
pet care=315
fidos=385
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25