The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
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The round off value of 38.23 to the nearest whole number is?
Answer:
38
Step-by-step explanation:
38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up
Answer:
Rounding 38.23 to the nearest whole number would be 38
Step-by-step explanation:
Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50
If it was 0.50, the answer would go up to 39.
Solve the following equations. 2x - 7 = 11
help me please it's urgent
Answer:
X=9
Step-by-step explanation:
2x-7=11
Add 7 each side
2x - 7 +7 =11 + 7
2x=18
Divide by 2 each side
2x/2=18/2
x=9
Answer:
x = 9
Step-by-step explanation:
2x - 7 = 11
Add 7 to both sides: 2x = 18
Divide by 2: x = 9
Help me please on question one and two
Answer:
can you show me a better picture your problems are cut off
Step-by-step explanation:
Write the formula for the volume of a rectangular solid of length " l, " width " w, " and height " h. " Write the variable equation/write formula using the variables
Select one:
V=lwh
V= (lw)/h
V=(hl)/w
V=(hw)/l
If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation
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The oblique prism below has an isosceles right triangle base.
An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
The volume of the prism, in cubic units is 1/2x³ + x²
The volume of the oblique prism is given as:
V = Base area * Height
Given the following
Height = x + 2Base area = area of the triangleBase area = 1/2 (x*x)
Base area = 1/2 x²
Get the volume of the prism;
Volume of the prism = 1/2(x²)(x+2)
Volume of the prism = 1/2(x³+2x²)
Volume of the prism = 1/2x³ + 1/2(2x²)
Volume of the prism = 1/2x³ + x²
Hence the volume of the prism, in cubic units is 1/2x³ + x²
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Answer:
1/2x³ + x²
Step-by-step explanation:
edg
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Answer:
K (-1,-1)
Step-by-step explanation:
can someone explain to me what this means
Answer:
2*2*2*3*5
Step-by-step explanation:
It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
a triangle with side 9,10and 11 has the same perimeter as a square with sides of length
Answer:
7.5.
Step-by-step explanation:
A square has 4 equal sides so:
4x = 9 + 10 + 11 where x is the length of one side of the square.
4x = 30
x = 7.5.
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A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
What is the equation of the line with a y-intercept of -10 and a slope of 7?
Answer:
do it got a picture
Step-by-step explanation:
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
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Answer:
yes I can help
Step-by-step explanation:
which one please
4/5 of a dollar is how many cents?
Answer:
4/5 of a dollar is 80 cents.Step-by-step explanation:
1 dollar = 100 cents=> 4/5 x 100=> 4 x 20=> 80 cents.Conclusion:
Therefore, 4/5 of a dollar is 80 cents.
Hoped this helped.
[tex]GeniusUser[/tex]
The value of cents in 4/5 dollars would be 80 cents.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that;
1 dollar = 100 cents
Hence we get;
The number of cents in 4/5;
4/5 x 100
4 x 20
80 cents.
Therefore, 4/5 of a dollar is 80 cents.
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Answer: Third multiple choice
Step-by-step explanation:
First answer:
Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:
[tex]2.54*7=17.78\neq 17.68[/tex]
The first answer doesn't match, we do the same for all three remaining answer.
2)[tex]12*7=84\neq 74[/tex]
3)[tex]36*7=252[/tex]
4)[tex]3.28*7=22.96\neq22.86[/tex]
In this case, the answer is the third multiple choice.
Which statement is not used to prove that triangle ABC is similar to triangle ADC?
Answer:
what are the statements we pick from?
Step-by-step explanation:
most likely look out for angles and lengths that go against the established ratio
Solve for x.
1/3 x+4=-2/3 x+12
Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
x=8
Step-by-step explanation:
1/3x +4= -2/3 +12
Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4
Simplify: 1/3x = 2/3x + 8
Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x
Simplify: x=8
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Please answer this question with step by step method.
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
(9(4x-1))/2x = 15
simplify the 9(4x-1) = 36x-9
(36x-9)/2x = 15
multiply both sides by 2x to take out the fraction
36x-9 = 15(2x)
36x-9 = 30x
subtract by 30x on both sides, and add 9 on both sides
36x-9-30x = 0
36x-30x = 9
6x = 9
x = 9/6 = 3/2 or 1.5
Find the area of the figure.
[tex]\huge \bf༆ Answer ༄[/tex]
At first Divide the figure into two rectangles, I and Il
Area of figure l is ~
[tex] \sf24 \times (40 - 30)[/tex][tex] \sf24 \times 10[/tex][tex] \sf240 \: \: ft {}^{2} [/tex]Area of figure ll is ~
[tex] \sf 18 \times 30[/tex][tex] \sf540 \: ft{}^{2} [/tex]Area of whole figure = Area ( l + ll )
that is equal to ~
[tex] \sf240 + 540[/tex][tex] \sf780 \: \: ft{}^{2} [/tex]Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?
HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots
We are given –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.May I please receive help?
Step-by-step explanation:
28^2+x^2=32^2
784+x^2=1024
x^2=240
x=15.49
x=~15.5
geometry - please help
solve for x & y
Hope it helps.
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if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning
Step-by-step explanation:
I think that's clear enough
A cross country race has 45 runners competing for first through fourth place. Complete the statement describing this situation. This is an example of a There are possible arrangements of first through fourth place winners.
"This is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
If a cross country race has 45 runners competing for first through fourth place, this statement is an example of a combination.
Combination has to do with selection. Since we are to select thee first four positions from the 45 runners. To get the possible number of arrangements, we will use the combination formula;
nCr = n!/(n-r)!r!45C4 = 45!/(45-4)!4!
45C4 = 45!/41!4!
45C4 = 45*44*43*42*41!/41!*4!
45C4 = 45*44*43*42/4*3*2
45C4 = 3,575,880/24
45C4 = 148,995
Therefore the correct statement is that "this is an example of a combination. There are 148,995 possible arrangements of first through fourth place winners.
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answer: permutation and 3,575,880 (plato/edmentum)