The correct option of the function is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
f(x)= 3x^2 + 4x - 6
g(x)= 6x^3 - 5x^2 - 2
So,
(f + g)(x) = (3x^2 + 4x - 6) + (6x^3 - 5x^2 -2)
(f + g)(x) = 3x^2 + 4x - 6 + 6x^3 - 5x^2 - 2
Now, like terms and in order of exponent
(f + g)(x) = 6x^3 - 2x^2 + 4x - 8
Therefore, the correct option is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.
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batman wants to wrap a perestn in a box for robin. the top and the bottom of the box is 10 cm. by 5 cm. the sides are both 3 cm by 2 cm. and the front and back are 8 cm. by 2 cm. hhow muvh wrapping papper will atman need to wrap the present?
Answer:
15
Step-by-step explanation:
Given the following formula, solve for a.
Answer:
A. a = 2s - b -c
Step-by-step explanation:
Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.
[tex]s = \frac{a + b + c}{2}[/tex]
Multiply by 2 to get rid of the fraction.
[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]
On the right side the 2 cancels out:
[tex]s \cdot 2 = a + b + c[/tex]
On the right side next to a are still b and c. But we want a alone. Subtract b.
[tex]s \cdot 2 - b = a + b + c - b[/tex]
b - b on right side gives 0.
[tex]s \cdot 2 - b = a + c + 0[/tex]
The step above is usually skipped, because number + 0 = number.
[tex]s \cdot 2 - b = a + c[/tex]
Next to a there is still c. Subtract c.
[tex]s \cdot 2 - b - c = a + c - c[/tex]
c - c on the left is 0.
[tex]s \cdot 2 - b - c = a[/tex]
So our answer is:
[tex]s \cdot 2 - b - c = a[/tex]
It can be rewritten to (change sides):
[tex]a = s \cdot 2 - b - c[/tex]
And s · 2 can be rewritten to 2s:
[tex]a = 2s - b - c[/tex]
What factor or factors may reduce risk? (5 points)
O Futures investments
O International stocks
Media hype
Diversified portfolios
If the center of the small gear is rigidly attached to the center of a bicycle wheel with a radius of 10 inches, how many inches will the bicycle travel with a single rotation of the large gear? the small gear has a radius of 2 inches.
The distance traveled is 62.8 inches.
How many inches will the bicycle travel with a single rotation of the large gear?
We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.
Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:
C = 2*pi*R
Where pi = 3.14 and R is the radius, which we know is 10inches.
Then:
C = 2*3.14*10in = 62.8in
The distance traveled is 62.8 inches.
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In the figure below, what is the value of x°?
Answer:
1
Step-by-step explanation:
x to the zeroth power is always 1
Answer:
Step-by-step explanation:
90 - 20 = 70
So now do 5 times x and that's also equal to 70
70.x =11
The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?
Answer:
169, 152, 135
Step-by-step explanation:
186-17=169
169-17=152
152-17=135
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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a) Write 2 expressions for the area of the shaded region.
b) Find the length of the shaded region if the perimeter is 48cm.
c) Find the area of the shaded region if perimeter is 48cm.
Answer:
(a)9×3=37' 97 and 8 are factors of 37
A delivery of 5 large boxes and 3 small boxes has a total mass of 137 kilograms. A delivery of 2 large boxes and 6 small boxes has a total mass of 128 kilograms. What is the mass of each type of box?
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25
What is the product of (6x^2 − 8)(9x^2 – x + 1)?
[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]
Hope it helps
please give brainliest
What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i
Step-by-step explanation:
ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.please help me i need help quick
Answer:
x = -2
y = -6
Step-by-step explanation:
Equating the equations :
x - 4 = 4x + 23x = -6x = -2y = -2 - 4y = -6Equate both
x-4=4x+2-4-2=4x-x-6=3xx=-2And
y=-2-4=-6Graph attached
pls help with age problem.
Answer:
John is 19 and his sister is 23.
Step-by-step explanation:
See attached image.
Decide whether each number is written in standard notation or scientific notation.
Number
Type of notation
3000
Select ...
Select ...
4.2 × 104
Select ...
Select ...
1.05 × 10–7
Select ...
Select ...
0.0013
Select ...
Select ...
6,500,000
Select ...
Select ...
6.2 × 1019
Select
The answers are as follows:
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
Concept: Standard notation is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
In the given questions,
3000- standard notation
4.2*10 raised to 4 - scientific notation
1.05 × 10 raised to power –7 - scientific notation
0.0013 - standard notation
6,500,000 - standard notation
6.2 × 10 raised to power 19 - scientific notation
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What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for I. T What's the circumference of a circle with a diameter of 18 inches ? Use 3.14 for I. T
Answer:
56.52 inches
Step-by-step explanation:
pi is the ratio of the circumference to the diameter so you can simply multiply the diameter by pi to get the circumference which is 3.14 * 18 = 56.52
Determine the total number of roots of each polynomial function. f (x) = 3x^6 + 2x^5 + x^4 - 2x^3
The total number of roots of the given polynomial function is 6.
The given polynomial is [tex]f(x)=3x^{6}+2x^{5}+x^{4} -2x^{3}[/tex].
We need to determine the total number of roots of the given polynomial function.
What is the total number of roots of the polynomial function?
The number of roots of any polynomial is depended on the degree of that polynomial. Suppose n is the degree of a polynomial f(x), then fx) has n number of roots.
Here, the degree of the given polynomial function is 6.
Therefore, the given polynomial function will be having 6 roots.
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The __________ is the process of posing and answering research questions using controlled techniques that include systematic, orderly observation and the collection of data.
Answer:
Scientific Method:
Step-by-step explanation:
Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.
i hope this
HELP PLEASE IM BEGGING PLEASEEE I NEED IT NOWWW
cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?
Volume = πr²h
V = (3.14) (2)² (3)
V = (3.14) (4) (3)
V = 37.68 ft³
37.68 ft³ of salt water is needed to fill the cylindrical aquarium.
Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?
Volume = (4/3) πr³
V = (4/3) (3.14) (2)³
V = (4/3) (3.14) (8)
V = (4/3) (25.12)
V = 33.493 m³
Mr. Lee can store 33.493 m³ of water in the spherical tank.
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1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88
Not sure how to explain
its 5 white and 15 red
Find the measure of the remote exterior angle. m∠x=(198−5n)°m∠y=(5n+37)°m∠z=(n+7)°
The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle is given below.
The sum of the two interior angle is equal to the third exterior angle.
m∠x = (198 − 5n)°
m∠y = (5n + 37)°
m∠z = (n + 7)°
We know that
∠x = ∠y + ∠z
198 - 5n = 5n + 37 + n + 7
11n = 154
n = 14
Then the value of the angle ∠x will be
∠x = 198 – 5 × 14
∠x = 128°
Then the correct option is C.
The complete question is given below.
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Question 8) Identify the volume of the composite figure. Round to the nearest tenth.
asap.... math test....must show work
Answer:
860.71m³
Step-by-step explanation:
V(cuboid) = bhd
V(cylinder) = h(pi)r²
V(shape) = cuboid - cylinder
cuboid = 10 x 10 x 12
cuboid = 1200m³
cylinder = 12(pi)3²
cylinder = 12(pi)9
cylinder = 339.292m³
shape = 1200 - 339.292
shape = 860.71m³
Answer:
860.9 -ish
Step-by-step explanation:
To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.
First, lets find the volume of the prism.
V=lwh
V=10*10*12
V=1200
Now, find the volume of the cylinder.
V=Pie*Rsquared*h
V=3.14*3squared*12
V is about 339.12
Now do
1200-339.12=860.88
So it is about 860.9
Explain how to find the constant of proportionality for the ratio of robins to cardinals.
The constant of proportionality will be 3.
The complete question ks given below:-
Explain how to find the constant of proportionality for the ratio of robins to cardinals. A 2-column table with 4 rows. Column1 is labelled Cardinals with entries 5, 6, 9, and 10. Column 2 is labelled Robins with entries 15, 18, 27, and 30.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given data will be arranged as follows:-
robins 15, 18, 27, 30.
cardinals 5, 6, 9, 10.
The constant of proportionality will be calculated by taking a ratio of the data:-
[tex]\dfrac{Cardinals}{Robins} =\dfrac{15}{5}=\dfrac{18}{6}=\dfrac{27}{9}=\dfrac{30}{10}=3[/tex]
Therefore the constant of proportionality will be 3.
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Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks. How long before the marathon should she start?
There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...
1. Identify and label the variables.
2.Make a table for up to 6 weeks to see a pattern.
3. Write an equation to represent the nth term of the sequence.
4. If the pattern continues during which week will she run 10 miles per day?
5. Is it reasonable to think that this pattern will continue indefinitely, explain?
6. How long before the marathon should she start?
PLEASE ANSWER ALL QUESTIONS IF YOU CAN PLEASEE
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
How to determine a linear equation describing the daily distance of a runner
In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:
Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).We notice that the daily distance increases linearly in time, then then we have the following pattern:To learn more on linear equation: https://brainly.com/question/11897796
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What is the range of the relation in the table below?
The range of the relation is {0, 2, 4}
How to determine the range?The range of the relation are the y values
From the table, we have:
y values = 0, 2, 4, 2, 0
Remove the repetition
y values = 0, 2, 4
Hence, the range of the relation is {0, 2, 4}
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help me out asap!please and thank you
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Area of a triangular prism
Answer:
if you mean the formula it is (1/2) · b · (6 · h + sqrt(3) · b)
Step-by-step explanation:
I am greater than 62 but less than 67
Look at the photo and answer the question. Please put the answer at the top of the text and don’t make it hard to find. Best answer gets brainliest.
Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.
Step-by-step explanation:
Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet
halp
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?
Answer:
D. None of the above.
Step-by-step explanation:
Supplementary angles must add up to 180 degrees.
Complementary angles must add up to 90 degrees.
Vertical angles are opposite of each other.
Hope this helps!
If not, I am sorry.
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.
Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?
Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.
The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Hence, the correct option is C.
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