This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.
Is this a function?
A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.
For example, if we had:
y = ±√x
Notice that for the same input x = 1, we would have two outputs:
y = 1 and y = -1.
So that is not a function.
Now, for the given one:
[tex]y = f(x) = 3x^4 - 5x^2[/tex]
This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.
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What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?
Answer: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
What shift will occur to the graph given the following equation?
y≤ |x + 2|
Graph will shift 2 units to the left.
Graph will shift 2 units to the right.
Graph will shift 2 units down.
Graph will shift 2 units up
Answer:
Graph will shift 2 units to the left
WILL GIVE BRAINLIEST
Stephen is training for the upcoming sports season by running each morning. Below are the distances he ran this week. How far has Stephen run?
Distances (in km)
Monday 1.3
Tuesday 1.75
Wednesday 2.25
Thursday 2.5
Friday 3.0
A. 10.8 km
B. 9.5 km
C. 6.9 km
D. 11.6 km
Answer: A. 10.8 km
Step-by-step explanation:
add up all the days:
1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km
PLEASE HELP ASAP
(Picture shown)
Answer:
-2x+3
Step-by-step explanation:
Gradient is change in y over change in x
[tex] \frac{2}{1} [/tex]
=2
and then
+3 because that's where it cuts the Y axis
PLEASE HELP!
Find the degree measure of each numbered angle.
Answer:
1=76°
2=76°
3=36°
Step-by-step explanation:
To find 1, add the other angles in the triangle and subtract by 180.
85+19=104
180-104=76.
1 is equal to 2 so 2=76
To find 3, add 76 and 68, then subtract by 180.
76+68=144
180+144=36
3=36
Hope this helps!
If not, I am sorry.
Answer:
m∠1 = 76°
m∠2 = 76°
m∠3 = 36°
Step-by-step explanation:
The interior angles in a triangle sum to 180°
⇒ m∠1 + 85° + 19° = 180°
⇒ m∠1 + 104° = 180°
⇒ m∠1 + 104° - 104° = 180° - 104°
⇒ m∠1 = 76°
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
⇒ m∠2 = m∠1
⇒ m∠2 = 76°
The interior angles in a triangle sum to 180°
⇒ m∠2 + m∠3 + 68° = 180°
⇒ 76° + m∠3 + 68° = 180°
⇒ m∠3 + 144° = 180°
⇒ m∠3 + 144° - 144°= 180° - 144°
⇒ m∠3 = 36°
Find the point Q along the directed line segement from point R (-3, 3) to point S(6, -3) that divides the segment in the ratio 2:1.
A. (3, 0)
B. (6, -4)
C. (0, 1)
D. (3, -1)
Answer: (3,-1)
Step-by-step explanation:
distance between R & S x values: 9
distance between R & S y values: -6
multiply each by 2/3 (the proportion)
9/1 x 2/3 = 6; -6/1 x 2/3= -4
add the answers to R x & y values:
-3 + 6= 3; 3 - 4= -1
Answer:
D
Step-by-step explanation:
using the section formula
(x₁, y₁ ) and (x₂, y₂ ) divided in the ratio m : n , then
point = ([tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] )
thus for R (- 3, 3 ) and S (6, - 3 ) in the ratio 2 : 1
Q = ( [tex]\frac{2(6)+1(-3)}{2+1}[/tex] , [tex]\frac{2(-3)+1(3)}{2+1}[/tex] )
= ( [tex]\frac{12-3}{3}[/tex] , [tex]\frac{-6+3}{3}[/tex] )
= ( [tex]\frac{9}{3}[/tex] , [tex]\frac{-3}{3}[/tex] )
= (3, - 1 )
PLEASE SOLVE THIS
Also I really don't want a long answer so you don't have to give me an explanation
Answer:
No
Step-by-step explanation:
To determine if a point is a solution to a system of equations, you need to determine if the point is a solution to both equations.
Is ( 2,10) a solution to -3x-4y = 4
Substitute into the equation and see if it is true
-3(2) -4(10) = 4
-6 -40 = 4
-46 =4
This is not true so it is not a solution
Answer:
No
Step-by-step explanation:
The solution(s) of a system is/are the point(s) (x, y) where the lines intersect.
The question asks if (2, 10) is a solution of the system. This means the "x" value is "2" and the "y" value is "10".
We can substitute those values into both of the equations.
[tex]-3x-4y=4\\-3(2)-4(10)=4\\-6-40=4\\-46=6 \Rightarrow Incorrect![/tex]
The "x" and "y" values must be true for both equations, therefore (2, 10) is not a solution of the system.
2. Estimate the square root to the nearest integer. 5 4 6 7
ggggggggggggggggggggggg
f(x)=x+2 g(x)=x-4
(f g)(x) =
O2x-2
O²-8
02-2x-8
Ọ x2+2x-8
Solve for (f g)(x)
Step-by-step explanation:
please mark me as brainlest
The new function (fog)x will be x - 2.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To find (f g)(x), we need to evaluate f(g(x)).
First, we need to find g(x):
g(x) = x - 4
Next, we substitute g(x) into f(x):
f(g(x)) = f(x - 4)
Now we can simplify:
f(x - 4) = (x - 4) + 2
f(g(x)) = x - 2
Therefore, (f g)(x) = x - 2.
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Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))
Answer:
19-73 19-73 and the other half way back home from the
to ghana 5hjgf and to the 8
[tex]\frac{16x^{2} y^5}{(-4x^-6)( y^8)}[/tex]
simplify
Solve for x ~
[tex] \sf \rightarrow2x + 5x = 14[/tex]
provide explanation
Solution: x=2 ✅
[tex]\searrow[/tex]
⚜Detailed explanation: ⚜
In this problem we need to solve for x, the unknown.
First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?
[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]
We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.
[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing
Superb, it's ez as winking!
_________________________________________
Voila! There's our solution!
Cheers!! ^-^Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
____________________________________________
What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4
Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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$Need help with this pls (quickest answer gets brainliest)
Answer:
-1/2
Step-by-step explanation:
IK
square root of 342354456
Answer:
18502.8229198
Answer:
18502.82292
Step-by-step explanation:
calculator
Please help me out…
Polygon ____ and polygon ____ are similar to polygon 1.
Polygon 3 and 4 are similar to polygon 1.
Polygons will be called similar if they are exactly in the same shape, but can be in different sizes.
Here given, Some of the images are images of the polygon 1 from similarity transformations.
So we have to find the similar polygon from the given picture.
From picture it is clear that Polygon 2 is similar to polygon 1 as the size of polygon 2 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 as we can their corresponding angles are also equal.
Also, polygon 3 is similar to polygon 1 as the size of polygon 3 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 and reversed of polygon 1. So polygon 3 is of the same orientation as polygon 1 as we can their corresponding angles are also equal.
So from above, it is clear that Polygon 1 is similar to polygon 3 and 4 as they have the same shape but different sizes.
Therefore Polygon 3 and Polygon 4 are similar to polygon 1.
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NOTE: I DO NOT NEED A LONG ANSWER
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
Scale factor is 3
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bought 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?
Answer:
Let the cost of orange be X and cost of cherry be y
3x + 9y = 78
8x + 4y = 58
Solving equation using elimination method
multiplying eq 1 with 8 and eq 2 with 3
8(3x + 9y ) = 78(8)
3( 8x + 4y) = 3(58)
24x + 72 y = 624
24x + 12y = 174
subtracting,
60 y = 450
y = 7.5
3x + 9(7.5) = 78
3x + 67.5 = 78
3x = 78 - 67.5
3x = 10.5
x = 3.5
Box of orange = $3.5 Box of cherry = $7.5On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the fruit market?
6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue
Answer:
The Fruit market is at - 6th Street and 11th Avenue
Step-by-step explanation:
Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.
for example :-
if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-
[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.
using the above formula :
distance between points (4, 8) and (12, 20) is:
[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]
√(8² + 12²)
√208
14.42
Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.
therefore,
3/4×14.42 = 10.8
now we can check that option (A ) i.e. (6, 11) distance from lei home i.e. (12, 20) is equal to 10.8
hence the fruit market is at the = 6th Street and 11th Avenue
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Answer:
A
Step-by-step explanation:
Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How much time did she have left for question C?
what is 500 - 250 + 5/30 % by 121 + π × f if f = 256 pls help
Answer:
I am not sure but 31054.449
Step-by-step explanation:
Answer:
0.27037
Step-by-step explanation:
numerator is 250.16667
denominator is 925.2477
answer is 0.27037
Define the face value. Choose the correct answer below.
A. The simple interest rate that the issuer promises to pay.
B. The status of the secondary bond market.
C. The date on which the issuer promises to repay the money.
D. The price that must be paid to the issuer to buy it at the time it is issued.
Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
What is face value?If the bond issuer doesn't default, face value, also known as par value, is the sum that is paid to a bondholder at the bond's maturity date. Bonds offered on the secondary market do, however, change in response to interest rates.
Therefore Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
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Which linear inequality is represented by the graph?
Step-by-step explanation:
5 because you have to round
Answer:
5
Step-by-step explanation:
because you have to round
Source: trust me bro
Rearrange the equation 4-4x-2y=0 into the form of y=mx+c
Answer:
y = -2x+2
Step-by-step explanation:
4-4x-2y=0
4-4x = 2y
2y = 4-4x
y = (4-4x)/2
y = 4/2-4x/2
y = 2 -2x
y = -2x+2
X Y
-2 6
0 3.5
2 1
4 -1.5
Which equations represent the data in the table?
Check all that apply.
y-6= =5 (x+2)
y-2=-(x-1)
y + 2 = S(x-6)
y-1=-(x-2)
y-3.5 = -1.25.x
Using the point-slope equation, the equations that represent the data are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
What is the Point-Slope Equation?Given a point (a, b) and slope (m), the point-slope equation is expressed as, y - b = m(x - a).
Find the slope (m) using two pairs from the table of values say, (-2, 6) and (2, 1):
Slope (m) = change in y / change in x = (6 - 1)/(-2 - 2) = 5/-4 = -1.25
Using the point, (a, b) = (-2, 6) and m = -1.25, plug the values into y - b = m(x - a):
y - 6 = -1.25(x - (-2))
y - 6 = -1.25(x + 2)
This cam be rewritten as:
y - 6 = -1.25x - 2.5
y - 6 + 2.5 = -1.25x
y -3.5 = -1.25x
The equations that represent the data in the table are:
y - 6 = -1.25(x + 2)
y -3.5 = -1.25x
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What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .
Answer:-1/4
Step-by-step explanation:
Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x
The editor of a school magazine polled randomly selected students in the 8th, 9th, and 10th grades. They were asked which activity they enjoyed the most: watching sports, reading, or listening to music. The two-way frequency table shows the data she collected.
(see attachment for table)
Based on the data in the table, what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?
A. 0.39
B. 0.37
C. 0.35
D. 0.33
Answer:
D 0.33
Step-by-step explanation:
based on the table you would just divide 13/39 which is 0.33
I hope i am right
Answer: 0.37
Step-by-step explanation:
Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"
8) Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answer:
16.6
Step-by-step explanation:
Add the numbers together.
13.2+20=33.2
Now divide the number by 2.
33.2/2=16.6
Hope this helps!
If not, I am sorry.
Solve the following system of equations. Show all work and solutions.
y = 2x2 + 6x + 4
y = −4x2 + 4
several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2 ,3 and so on .The people at positions 3 and 15 are directly opposite each other how many people are sitting at the table
12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.
The people at positions 3 and 15 are directly opposite each other.
Then the number of the people are sitting at the table will be
1 is opposite to 13
2 is opposite to 14
3 is opposite to 15
Similarly, 12 will be opposite to 24.
Then the number of the people are sitting at the table will be 24.
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