Identify which of the twelve basic functions listed below fit the description given.
y = x, y = x2, y = x3, y = , y = , y = ex, y = , y = ln x, y = sin x, y = cos x, y = int (x), y = 1/1+e-x
The two functions with infinitely many zeros
Answers
Try this option:
only periodical functions have many zeros, that is why y=sinx and y=cosx are the correct answer.
The functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.
The two functions with infinitely many zeros from the given list of twelve basic functions are y = x and y = x³
The function y = x has infinitely many zeros because any value of x that equals zero will result in y also being zero.
In other words, for every x value of 0, the corresponding y value is also 0.
This makes the function pass through the origin (0, 0) and have an infinite number of zeros.
2. The function y = x³ also has infinitely many zeros because the cube of any real number is zero if and only if the number itself is zero.
This means that for every x value of 0, the corresponding y value is also 0. Hence, the function y = x³ passes through the origin (0, 0) and has an infinite number of zeros.
In summary, the functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.
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Related Questions
The temperature at the begſnning of the day was - 3°F. The temperature dropped 2°F by the end of the day.
What was the temperature at the end of the day? Use the number line model to find – 3-2.
Answers
Answer:
- 5°F
Step-by-step explanation:
- 3°F - 2°F
(-3) - 2
-5
- 5°F
Hourly rate: $3.82; Hours: 24; What are the total earnings
Answers
Answer:
$91.68
Step-by-step explanation:
$3.82 × 24 = $91.68
Answer: $91.68
Step-by-step explanation:
Given information
Hourly rate = $3.82
Hours = 24
Given expression deducted from the given information
Total earning = Hours × Hourly rate
Substitute values into the expression
Total earning = (24) × (3.82)
Simplify by multiplication
Total earning = $91.68
Hope this helps!! :)
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If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red or yellow
Answers
Add the two fractions together but first rewrite the fractions with a common denominator.
4/15 = 8/30
3/10 = 9/30
8/30 + 9/30 = 17/30
Answer: 17/30
The fraction is 17/30.
What is fraction?fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
For example.
The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.
Given:
4/15 of the candies in a bag of Skittles are red
3/10 are yellow
So, make the denominator of both fraction same by LCM
4/15 = 8/30
3/10 = 9/30
Now,
8/30 + 9/30 = 17/30
Hence, the fraction is 17/30.
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What number should be added to 2/8 to -1/12 get ?
Answers
Answer:
-1/3
Step-by-step explanation:
this is the best answer
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muffins did Helen bake altogether?
Answers
=========================================================
Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
Helen = 2x+12 = 2*24+12 = 48+12 = 60Rebecca = 5x = 5*24 = 120Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
2x = 2*24 = 485x = 5*24 = 12048:120 reduces to 2:5 after dividing both parts by 24This helps confirm we have the correct answer.
Hello! i need help with these 3 questions.
-Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Answers
Answer:
10 is B
11 is C
12 is C. Simple set rules
Solve the equation. 4x2 + 20 = -7
Answers
Jarell is grocery shopping for his BBQ cookout this weekend. He is grilling 13lb. burgers and expects about 20 people. How many whole lbs. of ground beef should be purchase?
Answers
Jarrell should purchase 7 lbs of ground beef.
Number of attendees = 20
Fraction of burger per person = 1/3 lbs
Total fraction of burger required to feed 20 persons :
Number of attendees × fraction per person
20 × 1/3 = 6.667
The number of whole grouhd beef that should be purchased is 7 lbs
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What is the correct way to notate the shaded
region indicated by this Venn Diagram?
Answers
The correct notation will be A∪B and it can be read as A union B
In the given Venn diagram we can deduce the following;
U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.A: this is include the elements contained in set AB: this include the elements contain in set BA∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.A∪B: this include all the elements contained in both set A and set B. This often read as A union B.The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.
Thus, the correct notation will be A∪B and it can be read as A union B.
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A Venn Diagram is a diagram used to define sets.
Here we will find that the notation of the shaded region is: A ∪ B
To know this, we need to define all of the notations in the options:
A ∩ B: This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.A ∪ B: This is the set of all the elements that belong to either A or B (or both)A ⊂ B: This means that set A is included in B¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B
The correct option is C.
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Evaluate the exprssion when a= -5
a2+6a-9
Answers
Answer:
-49
Step-by-step explanation:
Substitute the a for -5
2(-5)+6(-5)-9
Multiply:
-10+-30-9
Add:
-40-9
Subtract (Add negatives):
-49
Hi there!
»»————- ★ ————-««
I believe your answer is:
-14
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Ages Number of students
15-18 5
19-22 7
23-26 8
27-30 7
31-34 2
35-38 4
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 35
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "%" after your answer).
Answers
Answer:
35 is the answer
Step-by-step explanation:
Can someone pls help me
I will mark u as Brainliest
Answers
Answer:
C
Step-by-step explanation:
because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.
Find an equation of the set of all points equidistant from the points
A(−2, 6, 3) and B(5, 3, −3).
Answers
We need to find the equation which is equidistant to the given points.
[tex]A(-2,6,3)[/tex] and [tex]B(5,3,-3)[/tex]
This can be done using the distance formula.
Let us take a point [tex]P(x,y,z)[/tex] which is equidistant from both points so
[tex]\sqrt{(x+2)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-5)^2+(y-3)^2+(z+3)^2}\\\Rightarrow y^2-12y+x^2+4x+z^2+49-6z=y^2-6y+x^2+z^2+6z+43-10x\\\Rightarrow 7x-3y-2z+1=0[/tex]
The required equation is [tex]7x-3y-2z+1=0[/tex]
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the square of a positive number is always ________
fill in the blanks
Answers
Answer:
the square of a positive number is always positive
solve for m.
-6(1+8m)=-342
Answers
Answer:
m is 7
Step-by-step explanation:
[tex]{ \sf{ - 6(1 + 8m) = - 342}}[/tex]
divide all sides by (-6) :
[tex]{ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}[/tex]
make m the subject:
[tex]{ \sf{8m = 56}} \\ { \sf{m = 7}}[/tex]
The difference of two numbers is 16, and their sum is 20. What are the two numbers?
Answers
Answer:
18 and 2
Step-by-step explanation:
18-2=16
18+2=20
Hi ;-)
[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]
These numbers are 18 and 2.
An equation for the difference between the time is 38.4 - a= 9.59. The others time was
Answers
Answer:
Presumably the "others time" is the quantity [tex]a[/tex], which is 28.81
Step-by-step explanation:
Let's solve for [tex]a[/tex] from
[tex]38.4-a=9.59[/tex]
Adding [tex]a[/tex] gives
[tex]a+9.59=38.4[/tex]
Then subtracting 9.59 gives
[tex]a=38.4-9.59=28.81[/tex]
round 6.7 to the nearest whole number.
Answers
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.
There are 2 solutions to the graphed system of equations.
show that there do not exist scalar c1 c2 and c3 c1(-2,9,6)+c2(-3,2,1)+c3(1,7,5)= (0,5,4)
Answers
This is the same as showing the following system of equations doesn't have a solution:
[tex]\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}[/tex]
or in matrix form,
[tex]\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}[/tex]
The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.
And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:
(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)
So there are indeed no such scalars c₁, c₂, and c₃.
Carson is hiking a trail that is 12 kilometers long. one-fourth of the way through the course, he stops to rest. how many meter does carson have left to hike on the trail after he rests?
Answers
Answer:
9000 m
Step-by-step explanation:
One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:
12km=12,000m
Two: 1/4 means to divide by 4: 12,000/4= 3,000.
Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.
Distributive Property to find 83x7
Answers
Answer:
Step-by-step explanation:
This is a handy thing to know how to do.
83 = 80 + 3
7*(80 + 3)
560 + 21
581
Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3
Show steps
Answers
9514 1404 393
Answer:
51.3 km²
Step-by-step explanation:
The area formula is ...
A = 1/2r²θ . . . . where θ is the central angle in radians
A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²
Is 66.06 a irrational number
Answers
Answer:
No.
Step-by-step explanation:
No because it can be written as a fraction, 6606/10
Examples of rounding?
Answers
Answer:
Rounding means making a number simpler but keeping its value close to what it was.
Step-by-step explanation:
Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. ... But 76 goes up to 80.
Which is an example of a unit rate?
Answers
Answer:
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Find the equation of the line with the slope 3/2 through the point (-6,2)
Answers
Step-by-step explanation:
y-y1=slope (x-x1)
where x1=-6,y1=2 and slope=3÷2
y-2=3÷2{x-(-6)}
y-2=3÷2(x+6)
y-2=(3x+18)÷2 cross multiply
2y-4=3x+18 collect like terms
2y=3x+18+4
2y=3x+22....ans
The fifth grade class donation consisted of 1/5 pasta boxes and 6/15 cans of soup. What fraction of their total donation was vegetables?
Answers
Answer:
None?
Step-by-step explanation:
Find the length of the missing side
Answers
Answer:
x is 5 cm
Step-by-step explanation:
From pythogras theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
a is x cm
b is 12 cm
c is 13 cm
[tex] {x}^{2} + {12}^{2} = {13}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ {x} = \sqrt{ {13}^{2} - {12}^{2} } \\ x = \sqrt{169 - 144} \\ x = \sqrt{25} \\ x = 5 \: cm[/tex]
Which describes the relationship between the distance and the difference?
Answers
Answer:
Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. ... The distance is the absolute value of the difference.