The degree of the sum and difference of the polynomials are 6 and 7 respectively.
given polynomials are:
[tex]3x^5-2x^3y^4-7xy^3[/tex]
[tex]-8x^5y+2x^3y^4+xy^3[/tex]
the sum of polynomials = [tex]-5x^5y-6xy^3[/tex]
the difference of polynomials = [tex]11x^5y-4x^3y^4-8xy^3[/tex]
what is the degree of a polynomial?A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
degree of sum = monomial with highest power = 5+1=6
degree of difference = monomial with highest power = 3+4 = 7
therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
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joes dad weighs 140 pounds more than joe. their combined is 336 pounds. how much does his dad weigh?
Answer: 238 lbs
Step-by-step explanation:
x = joe's weight
y = joe's dad's weight
x + y = 336
y = x +140
Substitute for y
x + x + 140 = 336
2x + 140 =336
2x = 196
x = 98
Joe weighs 98 lbs
Now, plug that into Joe's dad's weight equation
y = 98 + 140
y = 238
Joe's dad weighs 238 lbs
Write 3 other expressions that are equivalent to 8x-12
To write equivalent expressions, we multiply all the quantites by the same number.
8x - 12 = ( 2 x 8x) - (2 x 12) = 16x - 24
Using the same method, you can write 3 equivalent expressions :
16x - 24 ; 24x - 36 ; 32x - 48
When Brittany spins the spinner, there is a 20% chance that it will land on red, a 15% chance that it will land on blue, a 25% chance that it will land on yellow, and a 40% chance that it will land on purple. On which color is the spinner least likely to land?
Answer:
Blue
Step-by-step explanation:
Because it has the lowest likelihood, with only a 15% chance.
Rosie, Matilda and Ibrahim collect stickers.
number of stickers Rosie has : : number of stickers Matilda has : number of stickers Ibrahim has = 4 : 7 : 15
Ibrahim has 24 more stickers than Matilda.
Ibrahim has more stickers than Rosie.
How many more?
Ibrahim has 33 more stickers than Rosie
EquationAn equation is an expression used to show the relationship between two or more variable and numbers.
Given the ratio:
Rosie: Matilda: Ibrahim = 4 : 7 : 15
Let x represent the total number of stickers
Ibrahim = (15/26)x
Matilda = (7/26)x
Given:
(15/26)x = (7/26)x + 24
x = 78
Ibrahim = (15/26)*84 = 45
Rosie = (4/26)*84 = 12
Ibrahim has 33 (45 - 12) more stickers than Rosie
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Solve for x, rounding to the nearest hundredth.
How many triangles can be formed with segments measuring 4. 72 yd, 6. 31 yd, and 1. 67 yd? none one more than one.
The triangle inequality theorem is not followed, no triangle can be formed.
TrianglesIn Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.
The triangle inequality theorem describes the relationship between the three sides of a triangle.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 4.72 yds, 6.31 yds, and 1.67 yds.
4.72 + 6.31 = 11.02 > 1.67 (theorem followed)
4.72 + 1.67 = 6.39 > 6.31 (theorem followed)
6.31 + 1.67 = 7.98 > 4.72 (theorem not followed)
Since the triangle inequality theorem is not followed,
Hence, no triangle can be formed.
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PLS help,269 divided by 4
Answer:
PLS help,269 divided by 4
Step-by-step explanation:
I need help with this word problem please it’s number 20 please hurry and also please provide step-by-step explanation you will get Brainly
Look at the image below.
10
11 8
Find the area of the parallelogram.
square units
Answer:
80 units²
Step-by-step explanation:
To find the area, we will need to use the formula A = b * h.
We know the height is 8 and the base is 10. We ignore the length of 11 since it is not relevant.
So what the equation would look like, when plugging in the 8 for height and 10 for base is:
A = 10 * 8 = 80 units²
So the area of the parallelogram is 80 units²
The area of a parallelogram is the product of the length of the parallel side and the distance between the parallel sides. Then the area of the parallelogram is 80 square units.
What is a parallelogram?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel.
The area of the parallelogram will be given as
Area = bh
Where b is the length of the parallel side and h is the distance between the parallel sides.
Area = 10 × 8
Area = 80
The area of the parallelogram is 80 square units.
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Please help me 100 points and brainliest
Which net represents this solid figure?
The one you picked, on the bottom left is correct
The top two both have rectangles and triangles, making them most likely triangular prisms. To the bottom right, the net represents a cube, which is incorrect, because the figure is supposed to be a rectangular prism.
Answer:
The on you picked should be correct
Step-by-step explanation:
Use the graph of the parabola to fill in the table.
(a) Does the parabola open upward or downward?
O upward
o downward
10
10
(b) Find the intercept(s).
For both the x- and y-intercept(s), make sure
to do the following.
• If there is more than one, separate them
with commas.
• If there are none, select "None".
x-intercept(s): 1
y-intercept(s): 1
(C) Find the coordinates of the vertex.
vertex: (D
(d) Find the equation of the axis of symmetry.
equation of axis of symmetry: 1
The graphs of parabolas are used to represent quadratic functions and equations
The direction of the parabolaFrom the graph, we can see that the graph of the parabola opens downward
The interceptsThe graph crosses the x-axis at x = 2, and it crosses the y-axis at y = -4
So, the x-intercept is x = 2, and the y-intercept at y = -4
The vertexThis is the maximum point on the graph.
So, the coordinate of the vertex is (2,0)
The equation of the parabolaA parabola is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The parabola opens downward.
So, we have:
[tex]y = -1(x - h)^2 + k[/tex]
The vertex is (2,0).
So, we have:
[tex]y = -1(x - 2)^2 + 0[/tex]
[tex]y = -(x - 2)^2[/tex]
Hence, the equation of the parabola is [tex]y = -(x - 2)^2[/tex]
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helpppppppppppppppppp meeeeeeeeeeeeeeeeeeepwesssssssssssssssssssss...
Answer: 6.6, 6.6072, 6.67, 8.526
Step-by-step explanation: Make sure to mark me brainliest I answered u fast thanks <3
By ~"Gamer"~
There are 3 cards in Box A and 3 cards in Box B.
There is a number on each card.
Box A
3,4,5
Box B
9,2,3
Ryan takes at random a card from Box A and a card from Box B.
He adds together the numbers on the two cards to get a total score.
Work out the probability that the total score is an odd number.
Answer:
4/9Step-by-step explanation:
Possible number of pairs of given cards:
3*3 = 9Number of sums with odd score, two odd numbers added to an even number from each box:
2*1 + 1*2 = 4 (pairs of 3 and 5 with 2 or pairs of 9 and 3 with 4)Required probability:
P(odd) = 4/950 POINTS TO WHO EVER ANSWERS PLUS BRANILEST Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.
How much more ribbon is used to make the red hair bow than the purple hair bow?
3 3/20 in.
3 11/20 in.
3 3/5 in.
3 3/4 in.
Answer:
3 11/20
Step-by-step explanation:
I need someone to talk to please
Answer:
answer is
Step-by-step explanation:
it b.
The blue dot is at what value on the number line?
Answer:
the answer would be 21
Step-by-step explanation:
4+6 is 10 so divide 6 by 2 which is 3 and add three for each line 10+3+3+3=21
The measure of angle 1 is 102°.
What is the measure of angle 2?
Answer:
Step-by-step explanation:
∠1 & ∠2 are co interior angles. co interior angles are supplementary.
∠1 + ∠2 = 180
102 + ∠2 = 180
∠2 = 180 - 102
∠2 = 78°
Becky had d DVDs. Her mother bought her 22 more DVDs. Write an expression that shows how many DVDs Becky has now.
Answer:
d+22=t
d dvds plus 22 dvds equals t dvds
(GIVING 20 POINTS!!) Find the discriminant for the following equation: 3x^2 + 4x = 2 : 8 -8 40 -40
Step-by-step explanation:
b² - 4ac
= 16 - 4(3)(-2)
= 16 + 24
= 40
Lucy’s mom started a savings account for Lucy to go to college when she was 5 years old. She put $1000 into an account that earned 6% interest. Lucy is now 18. How much money does Lucy have?
With the Loan principle at $1000, interest at 6%, with a time of 13 years, The amount of money has Lucy has is mathematically given as
X=$780
What is the amount of money has?Question Parameters:
Lucy went to college when she was 5 years old.
he put $1000 into an account that earned 6% interest
Generally, the equation for the annual interest is mathematically given as
X=1000*0.06
X=60
Since She was 5and now 18
18-5=13
In conclusion, the amount of money has
X=13*60
X=780
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PLLKEEASE HELPPPPPPP ASAPP
Answer:
x = 19
Step-by-step explanation:
(5x + 4)° + (x - 2)° + (3x + 7)° = 180°
(5x + x + 3x)° + (4 - 2 + 7)° = 180°
9x° + 9° = 180° → ÷9
x + 1 = 20
x = 20 - 1
x = 19
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping?.
The factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].
What are the factors of a polynomial?
Factors are the integers that are multiplied to produce an original number.
Given
The factors of the polynomial are [tex]\rm x^3+11x^2-3x-33[/tex].
The factors of the polynomial are;
[tex]\rm x^3+11x^2-3x-33\\\\x^2(x+11)-3(x+11)[/tex]
Hence, the factors of the polynomial are [tex]\rm x^2(x+11)-3(x+11)[/tex].
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Nathan has some overdue library materials. He has a DVD that occurs a fine of one. $15 per day and a book that occurs $0.35 per day. which equation shows how many days it would take Nathan‘s phone to be $22.50
Answer:
1.15x + 0.35x = 22.50
Step-by-step explanation:
Let x = number of days
If:
DVD incurs an overdue fine of $1.15 per daybook occurs an overdue fine of $0.35 per daytotal fine = $22.501.15x + 0.35x = 22.50
Tristan is building steps up to a deck that is 156 yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?
Answer:
The height of each step is 1957 yards
Step-by-step explanation:
we are given
Tristan is building steps up to a deck that is 15656 yards above the ground
so, total height =15656 yards
Number of steps =8
now, we can use formula
Height of each step = ( total height)/( number of steps)
now, we can plug these values
and we get
Height of each step is
The term in the center in radius of the following circle equation
Answer:
center is at (8, -1) and the radius is 9
Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).
Answer:
(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).
Step-by-step explanation:
Using the identity for the difference of 2 squares;
a^2 - b^2 = (a - b)(a + b)
we put a^2 = 81x^8 and b^2 = 1 giving
a = 9x^4 and b = 1, so:
81x^8 − 1 = (9x^4 - 1)(9x^4 + 1)
Applying the difference of 2 squares to 9x^4 - 1:
= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).
Answer:
The answer is (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).
Step-by-step explanation:
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Brad ordered 6 equal-priced items. If the shipping cost was $7 and he paid a total of $37, how much did each item cost? Write and solve an equation to answer the question, and then identify the statement that is not true.
Answer:
B gives you the equation, A is wrong
Step-by-step explanation:
We have this information: 6 items, $37 total, and shipping cost $7.We know that we would have to divide $30 by 6 to get the cost for each item, and add $7 to get $37.Each item would cost $5.With this information, we know that C and D are true.Using the information we have (6 being the divisor and 37 being the total) we know that B is not wrong. B gives us the equation, which you can type in.In conclusion, A is wrong.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Answer:
it a
Step-by-step explanation:
I took the test
The expression x+8x+10 is modeled below
with aigebra Times
What would need to be added to
complete the square ?
Answer:
add 6 unit tiles
Step-by-step explanation:
The square is completed when the algebra tile grid pattern is a square. This one will be a square when 6 more unit tiles are added to fill the empty spaces at the bottom right.
We need to add 6 to complete squares.
What must be added to complete the square?
Here we have the expression:
x^2 + 8x + 10
By looking at the image, we can see that we need to add 6 cubes of the ones with the digit 1.
That is equivalent to adding 6 to our expression (and we also subtract 6 so we don't change it) then we have:
x^2 + 8x + 10 + 6 - 6
(x^2 + 8x + 10 + 6) - 6
(x^2 + 8x + 16) - 6
(x^2 + 2*4*x + 4^2) - 6
(x + 4)^2 - 6
So we completed squares, then we conclude that we need to add 6 to complete squares.
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Find the measure of angle A.(First solve for x, then plug it into 9x+4 to get the final answer!)
Answer:
40 degrees
Step-by-step explanation:
Sum of all angles of triangle is 180 degrees.
So, 80+(9x+4)+(16x-4)=180
80+25x=180
25x=100 -> x=4
So angle A = 9(4)+4= 40 degrees
In What temperatura is halfway between -2 and 4??
Answer:
1
Step-by-step explanation:
add then together
-2 + 4 = 2
then divide by the amount of numbers added up (in this case 2)
2/2 = 1
Answer:
I'm gonna say positive 2.
Step-by-step explanation:
Hope this helps!
6/42 in simplest form
6/42 in simplest form :
Divide both the nominator and the denominator by the HCF (highest common factor) : 6
6/42 = 6:6/42:6 = 1/7
