Answers
Answer:
Step-by-step explanation:
A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?
From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]
Since the equation is known, try the formulas
First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true
[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]
This means that the function is even.
Related Questions
At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?
Answers
The original price of a computer is $579. which coupon is a better deal?
Answers
Save 25% on any computer is the better deal. Then the correct option is A.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A) Save 25% on any computer. Then the better deal will be
→ 579 × 0.25 = $ 144.75
B) Save $150 on any computer. Then the better deal will be
→ $ 150
C) Save $75 plus 5% off on any computer. Then the better deal will be
→ 579 × 0.05 + 75 = $ 103.95
D) Save $50 plus 10% off on any computer. Then the better deal will be
→ 579 × 0.10 + 50 = $ 107.9
More about the percentage link is given below.
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A box of macaroni is 5 inches long, ½ inch wide and 2 ¼ inches tall. What is the volume of the box?
Answers
Answer:
5.625 cubic inches
Step-by-step explanation:
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded. A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a Negative one-half meter per second. The toy sinks at a rate of no more than a Negative one-half meter per second
Answers
y≥x-2
x+2y⊂4
hoping that your answer
one student incorrectly obtain an answer4/3x10/1=40/3=13 1/3 and says 13 portions can be made explain what mistake that as made in the calculations.
Answers
Answer:
They did the multiplication incorrectly
Step-by-step explanation:
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter
Answers
Answer:
Step-by-step explanation:
The total area of the face of the watch is 9.0 cm²
What is a hexagon?The polygon with six side is called a hexagon.
Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
height, h = apothem of the hexagon = 2 cm and
base, b = length of shorter base of trapezoid.
Area of the triangle
So, the area of this triangle is A = 1/2bh
= 1/2 × 1. 5 cm × 2 cm
= 1.5 cm × 1 cm
= 1.5 cm²
Area of the hexagon
Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A
= 6 × 1.5 cm²
= 9.0 cm²
So, total area of the face of the watch is 9.0 cm²
Learn more about area of a hexagon here:
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The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.
Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:
Which of the following is the correct equation for Step 3? (1 point)
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3
Answers
Answer:
(b) (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9
Step-by-step explanation:
To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.
__
Answer Choicesa) 9 is subtracted, incorrectly
b) 16 and 9 are correctly added . . . this is the correct Step 3
c) half the linear term is added, incorrectly
d) the magnitude of half the linear term is added, incorrectly
Translate this sentence into an equation.
55 is the product of 5 and Mabel's height.
Use the variable m to represent Mabel's height.
Answers
Answer:
5 x m = 55
Step-by-step explanation:
This is because 55 is the product and this means multiplication and 5 x something is 55
Which Line has The Greater Slope
1
2
3
4
Answers
Buses arrive at a stop every 18 min. Each bus waits 4 min before departing. What is the probability that a person arriving at the bus stop at a random time has to wait more than 8 min for a bus to leave?
Answers
Answer:
Socratic app
Step-by-step explanation:
it will help you
Find the surface area of the composite figure.
Answers
The Surface area of the figure is 520 square centimeters
How to calculate the surface area of a figureThe figure is made up of rectangular prisms
The formula for calculating the surface area of rectangular prism is expressed as:
SA = 2(lw + wh + lh)
l is the lengthw is the widthh is the heightSurface area of the figure = 2(2(8) + 2(14) + 8(14)) + 2(6(8) + 6(4) + 8(4))
Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)
Surface area of the figure = 312 + 208
Surface area of the figure = 520 square centimeters
Hence the Surface area of the figure is 520 square centimeters
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Please help asap
Savannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b, are
parallel. Select all of the reasons that prove Savannah's lines parallel.
Answers
Answer:
2,3,4,5
Step-by-step explanation:
The ones you selected are all correct.
Hope this helps.
Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.
What are parallel lines?Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.
∠2≅∠8 ( alternate interior angle)
∠1≅∠8 (vertical angle)
∠1≅∠5 (corresponding angle)
∠2≅∠5 (consecutive interior angle)
∠4≅∠6 (exterior angle)
Therefore, all the options are correct.
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What is the arc measure of major arc CAD in degrees
Answers
Answer:
296°
Step-by-step explanation:
Someone help me please
Answers
Step 1. Isolate the variable x:
[tex]3x-11 > 7x+9[/tex]
[tex]-4x > 20[/tex]
[tex]x > -5[/tex]
Step 2. Use the simplified inequality to graph:
Select an OPEN point on x = -5Select a ray extending from -5 to positive infinity (GREATER than -5)I hope this helps!
What is the slope of a line that goes through the points (3, 7) and (8, 11)
Question 4 options:
11/7
5/4
−8/3
4/5
Answers
Answer:
5/4
Step-by-step explanation:
Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.
11, 20, 29, ...
Find the 43rd term.
Answers
Answer:
389
Step-by-step explanation:
20 - 11 = 9
29 - 20 = 9
This is a geometric sequence with a common difference of 9.
a_1 = 11
a_2 = 11 + 9
a_3 = 11 + 2 × 9
...
a_n = 11 + (n - 1) × 9
a_43 = 11 + (43 - 1) × 9
a_43 = 11 + 42 × 9
a_43 = 389
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is [tex]11, 20, 29, ...[/tex]
Here,
[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]
The general formula is
[tex]a_n=a+(n-1)d[/tex]
where,
[tex]a_n[/tex] is the [tex]n[/tex]th term
[tex]a[/tex] is the first term
[tex]n[/tex] is the number of terms
[tex]d[/tex] is the common difference
Substituting the values in the general formula
[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
To know more about the sequence
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PLEASE ANSWER I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answers
Answer:
6x+4y=16
Step-by-step explanation:
2 ( 3x) + 2 (2y) = 2 (8)
6x + 4y = 16 <===== add this equation to the top equation to get
11x = 22
then x = 2 use this value of x in any of the equations to calculate y
5(2) - 4y = 6
10 - 4y = 6
-4y = -4
y = 1
Hi, I need help with this math question. Can you pls help me?
Answers
The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
7
Step-by-step explanation:
Given:
First term = 5Third term = 245Let the second term be "x".
⇒ 5, x, 245...
Thus, the following equations:
5 × (something) = xx × (something) = 245To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.
⇒ [5 × (something)] = x
⇒ [5 × (something)]/5 = x/5
⇒ (something) = x/5
⇒ x × (something) = 245
⇒ [x × (something)]/x = 245/x
⇒ (something) = 245/x
Now, let's compare both the results of (something).
⇒ x/5 = 245/x
⇒ x² = 5 x 245
⇒ x² = 1225
⇒ x = √1225 = 35
Substitute the second term into the sequence.
⇒ 5, x, 245 = 5, 35, 245
Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.
Find the number that makes the ratio equivalent to 5:6.
:66
Answers
Answer:
55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.
Write the equation of a circle whose diameter is 8 and whose center is (-8, -5)?
Answers
if the diameter is 8, then its radius is half that or 4.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
24 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets solve!!
7^2 + b^2 = 25^2
49 + b^2 = 625
Now we subtract!!
625 - 49 = b^2
576 = b^2
Now we neeed to find the square root!!
[tex]\sqrt{576}[/tex] = 24
Have an amazing day!!
Please rate and mark brainliest!!
If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6
Answers
Answer:
n=9M, when m is 6,n=18
Step-by-step explanation:
If n is proportional to M
n=kM
27=3k
k=27/3
k=9
the formula on terms of n and M is
n= 9M
2) If m= 6,
n= 3M
n=3(6)
n=18
Answer:
n = 108
Step-by-step explanation:
given n is proportional to m² then the equation relating them is
n = km² ← k is the constant of proportion
to find k use the condition n = 27 when m = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
n = 3m² ← equation of proportion
when m = 6 , then
n = 3 × 6² = 3 × 36 = 108
Answer is 1, I just need the working. Thank you
Answers
there are three pictures with every step
good luck writing that on the paper bro lol
Carl wants to earn money shoveling snow from driveway this winter. The average size of a driveway in his neighborhood is 240 ft. ² it take a squirrel 45 minutes to shovel an average size driveway with 4 inches of snow. Enter the minimum number of minutes it will take her to shovel a driveway with 4 inches of snow that has an area of 720 ft. ² if he shovels at this rate. 
Answers
Using proportions, it is found that it will take him at least 135 minutes to shovel the driveway at this rate.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, it takes 45 minutes to shovel 240 ft². How long does it take to showel 720 ft²? The rule of three is given by:
45 min - 240 ft²
n min - 720 ft²
Applying cross multiplication:
240n = 45 x 720
n = 45 x 720/240
n = 45 x 3
n = 135
It will take him at least 135 minutes to shovel the driveway at this rate.
More can be learned about proportions at https://brainly.com/question/24372153
what does T equal to?
Answers
Answer:
4/3
Step-by-step explanation:
t^3=64/27
=4^3/3^3
=index same
t =4/3
Answer:
4/3)
Step-by-step explanation:
t- 3= 64/27
= 4-3/3-3
= index same
t = 4/3
From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot
Answers
Answer:
112.30 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...
Tan = Opposite/Adjacent
tan(66°) = height/(50 ft)
Solving for the height gives ...
height = (50 ft)tan(66°) ≈ 112.30 ft
The height of the building is about 112.30 feet.
A pebble falls off the top of a cliff. Its final velocity is 58.8m/s. How long does it take to reach the ground? Show
your work.
Answers
Answer: 5.7s
Step-by-step explanation:
We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:
[tex]v_f=v_i+at[/tex]
[tex]58.8=0+(9.8)t[/tex]
[tex]58.8=9.8t[/tex]
[tex]t=5.7s[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answers
Answer:
36 in²
Step-by-step explanation:
Area of the figure
Area (small rectangle) left + Area (big rectangle) right3 x (6 - 4) + 5 x 63 x 2 + 306 + 3036 in²Answer:
The answer is 36 ft²
Step-by-step explanation:
Let us divide this whole figure into 2 rectangle, a big and a small.
Rectangle 1: (Small)
Length (l) = 2 ftBreadth (b) = 3 ft(Area 1) = l × b
A = 2 × 3 = 6 square ft
Rectangle 2: (Big)
Length (l) = 6 ftBreadth (b) = 5 ft(Area 2) = l × b
A = 6 × 5 = 30 square ft
Now,
Total Area of figure = Area of Rectangle 1 + Area of Rectangle 2.
Total Area = 6 + 30 = 36 square ft.
Thus, The area of the figure is 36 ft².
The usual price of a compact disc player was $200. At a sale, it was sold at a discount of 5%. What was the selling price
Answers
Answer:
It would be sold at 190$
Step-by-step explanation:
200x5/100 or 200 x 0.05
A campbell’s soup can is 6 inches tall and has a arduous of 2.5 inches how much paper is needed to make the label? How much room is there inside the can to hold the soup
Answers
Step-by-step explanation:
The label of the soup is the lateral area of the cylinder.
The formula for a cylinder is LA = ph.
The perimeter of a cylinder is the circumference of a circle, 2 times pi times r.
then multiply that answer by the height of 6.
The answer will be in square inches
