Answers
From the question, the first table is not a function while the other two tables are functions.
How to Identify a Function?
A function is a correspondence or mapping from a first set of numbers, called the domain of the function, to a second set of numbers, called the range of the function, such that for each member of the domain there is exactly one member of the range.
A function is said to be one-to-one if every y value has exactly one x value mapped onto it, and many-to-one if there are y values that have more than one x value mapped onto them. This graph shows a many-to-one function.
4) We see that all the y-values are the same or equal. Thus, we can say that it is not a function because it doesn't match the definition above.
5) Yes the table describes a function because all input values produces a unique output y-value.
6) Yes, the table represents a function because all input values produces a unique output y-value.
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Related Questions
(2x+5)*
5x Angle addition postulate
Answers
The value of x determined by Angle addition postulate is (x = 25).
What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.As per the given questions;
The two angles are given as;
∠ABD = 5x + 10
and ∠DBC = 2x - 5
By the angle addition postulate;
The sum of both the angles will be 180.
Put the values;
∠ABD + ∠DBC = 180
5x + 10 + 2x - 5 = 180
Simplifying;
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25.
Thus, the values of x is determined as the (x = 25).
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The correct question is-
Find the value of x Angle addition postulate, when the value of two angles are-
(5x + 10) and (2x - 5)
Determine the following. Complementary angles
Answers
3.is 73
4.ADC=90
What is the HCF of 8 and 12?
Answers
===============================================
Reason:
HCF = highest common factor
8 = 4*2
12 = 4*3
Both have 4 in common, and this is the largest such factor.
You can use factor trees as an alternative method.
Describe how to show 5-4 subtraction problem on a number line.
Answers
Answer: By having the arrow going to the left of the number line
Step-by-step explanation:
When subtracting, you always go to the left of the number line. Just like how you go to the right when adding. also having the line going from 5 to 1.
what equations do u insert in between these numbers to get the answer
a.5 8 3 9 =50
b.12 6 2 10=14
c.4 5 6 10=24
d.7 4 6 9 7= 16
e.4 9 6 2 =52
f.45 5 9 3 7=102
Answers
Answer:
a 5 8 3
Step-by-step explanation:
does someone mind helping me with this question? Thank you!
Answers
Answer: Slope: 3
Step-by-step explanation:
Slope formula: m=(y2-y1)/(x2-x1)
m=(4-(-2))/(3-1)
m=(4+2)/2
m=6/2
m=3
solve the question 3/8x-1/4=1/2
x=?
Answers
Answer:
Step-by-step explanation:
the answer is simply 2
If point A is located at (5, –3) and point B is located at (–4, –6). Find AB A B rounded to the nearest tenth.
Answers
The distance between the point A and point B is 9.5 units
Distance between two pointsThe formula for calculating the distance between two points is expressed according to the formula shown below;
AB = √(x₂-x₁)²+(y₂-y₁)²
Using the given coordinates points A(5, -3) and B (-4, -6)
Substitute to have:
AB = √(5-(-4))²+(-3-(-6))²
AB = √(5+4)²+(-3+6))²
AB = √81+9
AB = √90
AB = 9.5 units
Hence the distance between the point A and point B is 9.5 units
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3y + 6 = 4 - 7y
solve for y and show steps!
Answers
Explanation:
3y + 6 = 4 - 7y
+7y + 7y
10y + 6 = 4
-6 -6
10y = -2
—— ——
10 10
Y= 2 1
— or —
10 5
Answer:
3y+7y=4-6
10y= -2
y= -2÷10
y =1/2
Ans
Trying to prepare a budget, alvin has done research and found that he spends an average of $123 on his phone/internet/cable service, $213 on his electric bill, and $270 on his health insurance premium. if he earns $2600 per month, estimate the amount of money he will have after paying these bills each month.
Answers
A alvin makes 3,200 and spends 701 each month leaving 2,499.
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
It is Given that alvin has done research and found that he spends an average of $123 on his phone/internet/cable service, $213 on his electric bill, and $270 on his health insurance premium.
Subtract expenditures from earnings;
= 3200 - (178 + 203 + 320)
= 3200 - 701
= 2499
Thus, Grant will have $2,499 after paying these bills each month
Therefore, alvin makes 3,200 and spends 701 each month leaving 2,499.
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The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x)= 10(0.5)". What
is the multiplicative rate of change of the
function?
0.5
2.5
5
Mark this and retum
/ContentViewers/AssessmentViewer/Activit...
Answers
The multiplicative rate of a change of the function is 0.5
To solve this question, look at the y coordinates. To get from 10 to 5, and from 5 to 2.5, you divide them by 2. In other words, you multiply them by 0.5. So, the multiplicative rate will be 0 .5.
if we want to find the multiplication. The rate of change of a function, that just means we need to divide one item by the one that comes before it .
An exponential function is a nonlinear function that has the form of. y=abx,wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right,this is the multiplicative rate in exponential function.
You can also calculate exponential growth using the formula f(x) = a(1 + r)x, where:
The f(x) term represents the function.
The a variable stands for the beginning value of your data.
The r variable represents the growth rate.
The x variable is the time interval.
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(x4)^8 in simplest form
Answers
Answer:
x^32
Step-by-step explanation:
Multiply the exponents in (x4)8.
Help me pls !! Show with work thankkkk u sooo much !!!!!! :)
Answers
Step by step: first cross cancel to make your numbers to multiply smaller.
I divided 12 and 9 by 3 and 5 and 15 by 5, see attachment.
Then I multiplied across
Answer is 4/9
Could I have help, please look at the picture
Answers
Answer:
80
Step-by-step explanation:
We have a specific formula for the Surface Area of a Pyramid.
Which is= A+1/2ps ))))
1. A stands for the Area of the base. let's find our area! (This is length x width)
So this is 4x4=16
2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.
3. Finally, S stands for Slant Height. Which is eight inches.
Lets plug our numbers in!
4. Now we get a sparkly, full formula! 16+1/2x16x8
5. 16+1/2x128
6. 16+64
7. 80
if this answer is wrong, dislike it/report it!
much love <333 have a nice day!
Find the median.
12, 5, 9, 18, 22, 25,
Answers
Answer:
the answer is =15
Step-by-step explanation:
12+18=30
30÷2
=15//
Use the distributive property to write an equivalent expression.
4(w-2x+4)
Answers
Which equation correctly represents how the total mechanical energy (ME) of
a system relates to its kinetic energy (KE) and gravitational potential energy
(GPE)?
Answers
The accurately captures a system's gravitational potential energy:
ME = KE + GPE.
What is gravitational potential energy?Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is tied to gravitational force or gravity.
What is the difference between gravitational kinetic energy and potential energy?The energy held in an object due to its height above the ground is known as gravitational potential energy. It is determined by the object's mass, the gravitational acceleration caused by the Earth, and the object's height. Kinetic energy is the energy that an object possesses as a result of its motion.
According to the given data:An object's mechanical energy is equal to the sum of its kinetic energy and potential energy. If ME is mechanical energy and KE is kinetic energy, then PE is its potential energy.
ME = PE + KE
KE = (1/2) mv^2
PE = ME - KE
PE = ME - 1/2(mv²)
PE = ME - 1/2(mv²)
PE = ME - KE
ME = KE + GPE
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Answer:
B
Step-by-step explanation:
ME equals the sum of KE and GPE
A rate is a type of ratio. It uses quantities that are not measured the same way,
like miles and hours. In a unit rate, the number in the denominator is 1. For
example, a speed of 60 miles per hour is written as number of miles traveled
thr
Express 55 miles per hour as a unit rate.
ог
55
55
60 mi
1 hr??
Answers
The 55 miles can be written as 24.4m/s.
A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units
A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.
one common type of rate is per unit time
1 mile has 1600 meters.
distance= 55×1600= 88000m
Time= 1 hour= 3600 second.
speed is euqal to distance upon time.
88000÷ 3600 = 24.4m/s
so the 55 miles can be written as 24.4m/s.
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Which value of v makes 12=12+v-8/2 a true statement?
Answers
Answer:
Step-by-step explanation:
12 = 12 + v - (8/2)
12 = 12 + v - 4
12 - 12 = v - 4
v = 4
please help me
Here are two expressions whose sum is a new expression, A.
(2x2+5)+(6x□−7)=A
Select all the values that we can put in the box so that A is a polynomial.
Answers
Answer:
D, F and G
Step-by-step explanation:
A polynomial must have a negative exponent for the variable term. So we can eliminate A, B and C
Also no fractional exponents so eliminate E
F & G are positive exponents so acceptable
D has the exponent 0 so the term becomes (2x² + 5) + (6x⁰ + 7)
x⁰ = 1 so the expression becomes 2x² + 5 + 6 + 7 = 2x² + 18 which is a polynomial.
y(x) = a³ + cos(x) differentiate function using chain rule
Answers
Answer: -sinx
the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,
f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]
A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.
y = cos(x) + a^3
differentiating both sides with respect to x
dy / dx = d/dx (cosx) + d/dx (a^3)
by basic differentiation we know that
d/dx of cosx = -sinx
and differentiation of a constant is 0
therefore,
dy / dx = -sinx + 0
dy / dx = -sinx
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Under what conditions for the constants a, b, k, and l is (ax by) dx (kx ly) dy = 0 exact? solve the exact ode.
Answers
∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.
What is the exact equation?Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation
P(x, y)dy/dx + Q(x, y) = 0,
or in the equivalent alternate notation
P(x, y)dy + Q(x, y)dx = 0,
is exact if
∂P(x, y)/∂x = ∂Q(x, y)/∂y
In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.
An exact ODE is one where the equation can be written as dF=0 for some F(x,y). Expanding using chain rule, this means an equation of the form
∂1Fdx+∂2Fdy=0
Now if the second partials of F exist and are continuous, they must be equal due to Clairaut. So, given an equation
Mdx+Ndy=0
if we have
∂2M=∂1N
then there is an F such that
M=∂1F, N=∂2F
and hence that equation is exact, and the solution is simply
∫dF=0
We have
M=ax+by⇒∂2M=b
N=kx+ℓy⇒∂1N=k
so to be exact, we must have that b=k .
Then, integrating M and N , we have
F(x,y)=∫Mdx=12ax2+bxy+g(y)
F(x,y)=∫Ndy=bxy+12ℓy2+h(x)
and comparing these two, we can see that
∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0
is a solution to the equation for any a,b,c,ℓ . You can solve for y by quadratic methods.
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If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?
Answers
Greetings from Brasil...
We know that
V = L³ ⇒ L = ∛V
and
dV/dt = 3cm³/s (volume rate as a function of time)
Let
dL/dV = L' = 1/(3∛V²)
We need dL/dt (side rate as a function of time), so
(dV/dt) . (dL/dV) = dL/dt
then
dL/dt = 3 . [1/(3∛V²)]
dL/dt = 1/∛V²IM GIVING 100 PTS TO WHOEVER ANSWERS THE FASTEST
Jayden went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
Answers
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
where; c is the number of cans of soup and f is the number of frozen dinners.
How to create a system of equations?Let us denote c as the number of cans of soup and f is the number of frozen dinners.
The total number of items is 13 and so, we can write;
c + f = 13
The total amount of sodium is 4400 mg. Each can of soup has 200 mg, and each frozen dinner has 650 mg.
200c + 650f = 4400
We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
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Answer:
Step-by-step explanation:
11970658976
You need to buy a 20-foot length of 15-wide carpet that costs $29.50 per square yard. How much will this cost?
Please include steps!!
Answers
The cost of the carpet will be $983.33
Calculating costFrom the question, we are to calculate how much the carpet will cost
From the given information,
The carpet has a length of 20 feet
and a width of 15 feet
First, we will covert the dimension to yard
NOTE: 1 foot = 1/3 yards
Thus,
20 feet = 20/3 yards
and
15 feet = 15/5 yards = 5 yards
Now, we will calculate the area of the carpet
Using the formula,
Area = Length × Width
Area of the carpet = 20/3 × 5 square yard
Area of the carpet = 33.33 square yard
Now, we have that
The carpet costs $29.50 per square yard
∴ The cost of the carpet = 20/3 × 5 × $29.50
The cost of the carpet = $ 983.33
Hence, the cost of the carpet will be $983.33
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If the interest rate is 12.5 percent, what is the present value of $200 received in one year?
Answers
177.78 is the present value of $200 received in one year.
What do interest rates mean?
An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.What is an example of interest rates?
The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.
PV=FV * (1+i)^-n
=200\1.125
= 177.78
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Line p has slope of 7/3 line q is pararellel to line p. What is the slope of line q?
Answers
The Slope of the line q is 7/3
Given that a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”
Parallel lines:
Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.
The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”
The slope of line “p”=slope of line “q”
Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]
therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]
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Points j,k,and l lie on the same line, and point k is between j and l. todd contructs sv with the same lenght as jl then he draws point t on sv so that st is the same length as st is the same length as jk
Answers
The points t will also be in between line segment sv.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that,
Point k is in between of j and l
Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.
Hence "The points t will also be in between line segment sv".
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Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
A group of 29 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 4 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
(Do not include units in your answer.)
Answer here
Answers
Answer:
yes
Step-by-step explanation:
28/4 = 7 teams
1 is left without a team
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
Answers
30 miles will a person travel in order to spend an equal amount of money using either service.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile.
Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile.
So, if equal amount of money spends on both services
3+0.2x = 3(2)+0.1x
3 +0.2x = 6 +0.1x
0.2x - 0.1x = 6-3
0.1x = 3
x = 30 miles
Hence, 30 miles will a person travel in order to spend an equal amount of money using either service.
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