For this case we have the following polynomials:
[tex] -x ^ 2 + 9
-3x ^ 2 - 11x + 4
[/tex]
Adding the polynomials we have:
[tex] (-x ^ 2 + 9) + (-3x ^ 2 - 11x + 4)
[/tex]
Rewriting we have:
[tex] x ^ 2 (-1-3) - 11x + (9 + 4)
[/tex]
Therefore, the result of the sum is:
[tex] -4x ^ 2 - 11x + 13
[/tex]
Answer:
the sum of the polynomials is:
[tex] -4x ^ 2 - 11x + 13
[/tex]
option 2
What is two thousand eight hundred thirty five divided by twenty one?
is it true or false that many of the same constructions the greeks performed only with a straightedge and compass can be done using only a straightedge and tracing paper?
Answer: true.
Step-by-step explanation: Here we must see if the use of a compass can be replaced with the use of a tracing paper.
Now, suppose you have a sheet of paper in your table, you can apply pressure in it with your finger at some point, now you can drill a little hole with the point of a pencil at some distance of your finger. Now, with the pencil in place, you can start to rotate it and you will see that an almost perfect circle will appear.
So yes, you can do this, so it's true.
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %.This year the price is $17,891. Find the increase and the new price.
I will fan and medal if you help!
Part A Find the value of x
A. x=9
B. x=15
C. x=41
D. x=77
Part B Find the measure of each of the unlabeled angles in the previous question
A. one angle measures 87° and the other measures 273°
B. one angle measures 161° and the other measures 179°
C. both angles measure 155°
D. both angles measure 25°
if you can explain how you did these questions instead of just the answer that'd be great
find the derivative:
y=(4xe^x)/(x^2+1)
A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?
A x2 – 99 = 0
B x2 – 99x = 0
C x2 + 5x + 104 = 0
D x2 + 5x – 104 = 0
The quadratic equation for the word problem, written in standard form is equal to: D. x² + 5x - 104 = 0.
Given the following data:
L = (W + 5) inches.
Area = 104 square inches.
Note: Let the width be x.
How to calculate the area.Mathematically, the area of a rectangle is calculated by using this formula:
LW = A
(x + 5)x = 104
x² + 5x = 104
x² + 5x - 104 = 0
In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0 ⇔ x² + 5x - 104 = 0.
Read more on quadratic equation here: brainly.com/question/1214333
Convert 288° to radians.
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value? Show all work.
Answer:
27
Step-by-step explanation:
Since coeficient in front of x is larger than coeficient in front of y that means that value of function P depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.
Highest x value is 9 and we can only pick y=0 for it
P = 27
Note that if u decrease x by 1 we can take y=1 but now our value is:
P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.
And or
Answer:
27
Step-by-step explanation:
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
NOTE: I don't understand why (5,4) was given on your graph as a vertex.
(0,8): P = 3(0) + 2(8) = 0 + 16 = 16
(5,4): P = 3(5) + 2(4) = 15 + 8 = 23
(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE
Brand X soda advertises, "We will give you 20% more soda than Brand Y for a total price that is 10% less than Brand Y's price!" What is the ratio of the unit price of Brand X soda to the unit price of Brand Y soda? Express your answer as a common fraction. ...?
Answer:
3/4
Step-by-step explanation:
its 3/4 k
what is the expression in factored form 16x^2+8x
Final answer:
The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.
Explanation:
To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.
Step-by-step, this looks like:
Identify the greatest common factor (GCF): both terms have an x and an 8 in common.Factor out the GCF: 16x^2 + 8x = 8x(2x + 1)We've now expressed the original expression in factored form.
Please Hhhellp!! Given AB, explain how to construct a square with sides of length AB
1.A
2.C
3.C
4.C
5.C
6.B
7.D
8.C
Unit 4 Lesson 9 100%
Step-by-step explanation: Short answers you have to look up
What is 27.38 rounded to the nearest wholenumber?
Evaluate: 5C2
20
25
10
60
...?
What is 20 times greater than 0.08?
Identify the correct slope and y intercept of the equation 2x + 4y = 12.
How would I do this?
slope = 2; y intercept at (0, 12)
slope = 1/2; y intercept at (0, 3)
slope = 1/2; y intercept at (0, 4)
slope = -1/2; y intercept at (0, 3) ...?
Factor the expression.
x squared-25
In the diagram below, G is the incenter of DEF. m
In the previous question, what is m
Final answer:
The question involves Physics concepts such as vector addition, moment of inertia, and gravitational force calculations. The incenter mentions seem irrelevant to the Physics calculations related to inertia and force.
Explanation:
The question asked is about calculating the moment of inertia for a specific geometric object (a cylinder) and involves understanding the mass distribution relative to an axis of rotation. This is a common concept in the field of Physics, particularly when dealing with rotational dynamics and inertia.
The mention of the incenter of a triangle appears to be unrelated to the main question, which is more focused on moments of inertia, vector addition, and gravitational force equations as indicated by the provided reference information.
For example, the moment of inertia of a cylinder about a given axis can be calculated using established mathematical formulas. Moreover, vector addition (such as Đ = Ả + 2B - F) includes principles such as scaling, displacement and direction, which are crucial in Physics for predicting the outcomes of combined vector forces.
Lastly, the reference to the mass m of an object cancelling in the equation for g is related to calculating the acceleration due to gravity on Earth, which does not depend on the mass of the falling object.
In the previous question, m represents the measure of an angle, and without specific information about which angle in Δ DEF is being referred to, a precise value cannot be determined.
Explanation:The symbol m in geometry typically denotes the measure of an angle. In the context of the given diagram, G being the incenter of Δ DEF suggests that G is the point where the angle bisectors of the triangle intersect. However, to determine the specific measure (m) of an angle, additional details about which angle in Δ DEF is being considered are required.
In geometry, the measure of an angle can vary based on its location within a triangle. The incenter is where the angle bisectors meet, ensuring that the angle formed by connecting G to the vertices of Δ DEF is bisected equally. Without information about the specific angle being referenced, a numerical value for m cannot be provided.
Understanding angle measures and the role of an incenter in bisecting angles is crucial in geometry. Precision in describing angles requires clarity on the specific angle under consideration, allowing for accurate calculations and conclusions.
Find the solution set for the open sentence with the given replacement set.
2x + 7 = 19, {4, 5, 6, 7}
Which of the following is equivalent to45/46 ?
88/92
135/138
46/45
90/93
A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon covers 400 sq. ft.?
Answer:
4.5 gallons
Step-by-step explanation:
What is the magnitude of the size change of the figures formed by these matrices?
[3 -2 1] [6 -4 2]
4 1 -1 8 2-2 ...?
The magnitude of the size change of the figures formed by these matrices is:
2
Step-by-step explanation:We are given a first matrix as:
[3 -2 1]
and second matrix is given by:
[6 -4 2]
Since we could clearly observe that when we multiply first matrix by a constant 2 then we obtain a second matrix.
i.e. 2[3 -2 1]=[2×3 2×(-2) 2×1]
= [6 -4 2]
Hence, the change in the magnitude of the size of two matrices is:
2
Triangle ABD equal to triangle CBD. Name the theorem or postulate that justifies the congruence.
(There is a diagram)
When you get your answer could you please tell me how you got it? Thank you!
Answer:
SAS postulate
Step-by-step explanation:
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side.
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
Find the length of LK
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
the cone = 150.8
the cylinder= 301.6 the cones volume is 2x smaller than the cylinders volume. two cones equal one cylinder.
Which of the point-slope equations below is correct for the line that passes through points (-4,-4) and (1,3)? Check all that apply.
A. y - 3 = 7/5(x - 1)
B. y - (-4) = 7/5(x - (-4))
C. y - 3 = 7/5(x + 1)
D. y + 4 = 7/5(x - 4)
E. y + 4 = 7/5(x + 4)
F. y + 4 = 5/7(x + 4)
Grace caught a fish after 38 minutes of fishing. Grace started fishing at8:49 a.m.
9:27
she caught it just add 38 MINSA
A department store has a discount on shoes based on a percentage of the price suppose one pair of shoes is marked down from $70 to $49 what is the price for a $100 pair of shoes after the discount is applied
Nine wolves, eight female and one male, are to be released into the wild three at a time.
If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?
The correct answer is 28 ways.
Please give me brainiest and have a great day.
Answer:
Hence, we can form a group of three wolves in:
28 ways.
Step-by-step explanation:
We are given:
Nine wolves, eight female and one male.
We have to release three at a time also the male wolf is to be in the first released group and order does not matter
Then we have to choose 2 female wolves out of 8
as the order does not matter so we have to use combination
Hence, it is given as:
[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]
Hence, we can form a group of three wolves in:
28 ways.
Joke ran 2 miles. jesse ran 4 times as far. there are 5280 feet in a mile. how many feet did jesse run?
12 is what percent of 30