Answer:
0.35 km per minute, 7 km in 20 minutes
Step-by-step explanation:
1 hr = 60 minutes
21 km per 60 minutes = 21/60 = 0.35 km per minute
In 20 minutes: 0.35*20 = 7 km
help im in a rush!!!!!!!
Answer:
Your answer should be 52!!
Step-by-step explanation:
Work included on the picture below.
2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how many times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation.
The large rectangle is 8/3 times bigger than the small rectangle.
How to explain the area?Area of large rectangle will be:
= 4x(2x - 2)
= 8x² - 8x
Area of small rectangle will be:
= (3x - 3)x
= 3x² - 3x
The ratio will be:
= 8x² - 8x/3x² - 3x
= 8(x² - x)/3(x² - x)
= 8/3
The large rectangle is 8/3 times bigger than the small rectangle.
Learn more about rectangles on:
brainly.com/question/25292087
#SPJ1
Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126,.?
O a-n²
O a-n²+1
O a-n³
O a-n³+1
Mark this and return
Save and Exit
Next
01:57:15
Submit
Answer:
n^3 + 1.
Step-by-step explanation:
Each term is 1 more than a perfect cube.
2 = 1^3 + 1
9 = 2^3 + 1
28 = 3^3 + 1
65 = 4^3 + 1
126 = 5^3 + 1
So the explicit formula is n^3 + 1.
The explicit formula that generates the given sequence is indeed aₙ = n³+1.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The nth term of the sequence can be obtained by substituting n = 1, 2, 3, ... into the expression n³+1:
a₁ = 1³+1 = 2
a₂ = 2³+1 = 9
a₃ = 3³+1 = 28
a₄ = 4³+1 = 65
a₅ = 5³+1 = 126
Hence, the explicit formula that generates the given sequence is indeed aₙ = n³+1.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ5
re arranging equations
please help choose answer
Answer:
D. d = √(V/5)
E. A = √(b/c).
Step-by-step explanation:
V = 5d^2
Divide both sides by 5:
V/5 = d^2
Now take the square root of both sides:
d = √(V/5)
Note - it's the square root of the whole term (V/5).
b = cA^2
A^2 = b/c
A = √(b/c).
Simplify the expression 3(x + 2)(x2 − x − 8). (6 points)
Answer:
3x³ + 3x² - 30x - 48
Step-by-step explanation:
3(x + 2)(x² - x - 8) ← distribute (x + 2) by 3
= (3x + 6)(x² - x - 8)
each term in the second factor is multiplied by each term in the first factor
= 3x(x² - x - 8) + 6(x² - x - 8) ← distribute both parenthesis
= 3x³ - 3x² - 24x + 6x² - 6x - 48 ← collect like terms
= 3x³ + 3x² - 30x - 48
N=
Help me please thanks :))
The measure of n of the sector with the given area is: 100°
What is the Area of a Sector?The area of a sector of a circle = ∅/360 × πr².
We are given that:
Area of the sector = 40π
Radius (r) = 12 units
∅ = n°
Plug in the values and solve for n
40π = n/360 × π(12²)
40π = n/360 × π144
Divide both sides by 144π
40π/144π = n/360 × 144π/144π
40/144 = n/360
40(360) = n(144)
14,400/144 = n
n = 100°
Learn more about the area of sector on:
https://brainly.com/question/22972014
#SPJ1
Find the missing length indicated.
Answer:
48
Step-by-step explanation:
So I attached an image explaining how I solved the problem, but essentially you use the Pythagorean Theorem to define the two other sides, which I named "a" and "b", and then defined them in terms of x, using the Pythagorean Theorem. I finally defined the hypotenuse of the entire triangle which is 36+64 in terms of these two equations. Once that entire thing was set up it was a matter of solving for x, to get 48
What is the common ratio in this recursive
definition?
Answer:
r = -1.5
Step-by-step explanation:
recall that ,the recursive formula for a geometric sequence [tex]a_n[/tex] is :
[tex]a_{n} = r \times a_{n-1} \ \ \text{where r is the common ratio }[/tex]
therefore
The common ratio of the sequence:
[tex]a_{n} = -1.5 \times a_{n-1}[/tex]
is r = -1.5
A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
Learn more about standard error on:
brainly.com/question/14467769
#SPJ1
PLEASE HELP IM SO STUCK PLS
Answer:
x-intercept: (-22, 0)y-intercept: (0, 6)Step-by-step explanation:
Each intercept is found by solving for the variable after the other variable is set to zero.
X-interceptSet y = 0 and solve for x:
-3x = 66
x = 66/(-3) = -22 . . . . . divide by the coefficient of x
The x-intercept is (-22, 0).
Y-interceptSet x = 0 and solve for y:
11y = 66
y = 66/11 = 6 . . . . . . . . divide by the coefficien tof y
The y-intercept is (0, 6).
__
Additional comment
The given equation is in standard form (almost). This form makes it easy to find the intercepts by dividing the constant by the variable's coefficient, as we did above.
(We say "almost" standard form because the leading coefficient is negative. It would be positive in standard form: 3x -11y = -66.)
Answer: (-22,0) and (0,6) in order
Step-by-step explanation:
x-intercept means point of graph that intersects the x-axis and y=0
y-intercept means point of graph that intersects the y-axis and x=0
So the x-intercept is -3x + 0 = 66 as y = 0
x = -22 so the coordinate is (-22,0)
The y-intercept is 0 + 11y = 66 as x = 0
y = 6 so the y-intercept is (0,6)
Adam runs 100m in 14.5 seconds. Jenny runs the same distance 10% faster. How long does it take for Jenny to finish?
The time taken for Jenny to run the same distance at 10% faster is 13.05 seconds
PercentageDistance Adam runs = 100mTime taken by Adam = 14.5 secondsDistance Jenny runs = 100mTime taken by Jenny = 14.5 - (10% × 14.5)
= 14.5 - (0.1 × 14.5)
= 14.5 - (1.45)
= 13.05 seconds
Therefore, the time taken for Jenny to run the same distance is 13.05 seconds
Learn more about percentage:
https://brainly.com/question/843074
#SPJ1
suppose cos(a)=4/5. use the trig identity sin^2(a)+cos^2(a)=1 to find sin(a) in quadrant IV.
Answer:
sin a = -3/5
Step-by-step explanation:
sin^2(a)+cos^2(a)=1
sin^2(a)+ (4/5)^2 = 1
sin^2(a) = 1 - 16/25 = 9/25
sin a = 3/5 ( in Quadrant 1)
In quadrat IV the sine is negative
so sin a = -3/5
GEOMETRY HELP ASAP PLEASE!!)
Chad had a garden that was in the shape of a rectangle Its original width was 3 feet and its original length was 8 feet.
He decided to make a new garden that was 3 feet wider and 2 feet longer than his first garden.
How much larger is the area, in square feet, of his new garden compared to his original garden?
Fill in the blank by entering only a number for your answer.
Answer:
36
Step-by-step explanation:
Chad's original garden is 3 ft x 8 ft.
original area = 3 x 8 = 24 square feet
Chad's super Chadly new garden is 3 feet wider, and 2 feet longer.
new width = 3 + 3 = 6
new length = 8 + 2 = 10
new Area = 6 x 10 = 60 square feet
To find how much larger the new area is, subtract the original area.
60 – 24 = 36 square feet
Find the x - and y -intercepts of the graph of the linear equation 2 x plus 3 y is equal to 2x+3y=12
Answer:
x-intercept is 6 [(6, 0) is the point]
y-intercept is 4 [(0, 4) is the point]
Step-by-step explanation:
To find the x-intercept, we can set y equal to 0 and solve for x. This works because the x-intercept is the point of the graph where the line crosses the x-axis (meaning y is equal to 0 at this point. So, if we set y=0 and solve, we get this:
[tex]2x+3(0)=12\\2x=12\\x=6[/tex]
So, the x-intercept is 6; if it is written as a point, it is (6, 0) since y is 0
To find the y-intercept, we can set x equal to 0 and solve for y. This works the same way - x is equal to 0 at the point where the line crosses the y-axis. If we set x=0 and solve, we get this:
[tex]2(0)+3y=12\\3y=12\\y=4[/tex]
So, the y-intercept is 4; if it is written as a point, it is (0, 4) since x is 0
Find the number of 4 digit numbers that contain at least 3 even digits
Answer:
2625 different numbers
Step-by-step explanation:
General outlineCombinatoricsSpecial circumstancesPartitioning the situationConclusionPart 1. CombinatoricsThis type of problem is classified as a "Combinatorics" problem: Counting up the number of ways something can happen.
Many times when attempting to count a large number of items, patterns are recognized and shortcuts to count are developed so that one doesn't need to physically count all of the items. Perhaps the trickiest part of counting with these shortcuts is to ensure that one does not over-count (counting a scenario more than once), although it is equally important that we don't under-count (fail to count a situation that applies).
Part 2. Special circumstancesIt should be noted that for a number to be a 4 digit number, it must have 4 digits, and thus the first digit must not be zero (despite that that would be an even digit, the number itself would not be a 4 digit number).
Part 3. Partitioning the situationThere are 2 main scenarios:
1. All 4 digits are even
2. Exactly 3 digits are even (meaning that exactly one digit is odd).
There are two sub-cases to Scenario 2:
2.1. The first digit is odd, and all three of the other digits are even.
2.2. The first digit is even, and exactly two of the other digits are even (meaning that exactly one of the last three digits is odd).
None of scenarios 1, 2.1, and 2.2 overlap, so we're not over-counting:
If all 4 digits are even, then there can't be exactly 3 even digits. If the first digit is odd, then not all 4 digits are even nor is the first digit even. If exactly two of the last three digits are even, then not all 4 digits are even, nor are all three of the last digits even.Further, this is all of the possibilities for a 4 digit number with least three even digits, so we're not under-counting.
Scenario 1 -- All 4 digits are even.
If all 4 digits are even, then the first digit has fours choices (2,4,6,8), and the next 3 digits each have 5 choices (2,4,6,8,0).
[tex]4*5*5*5=500\text{ choices}[/tex]
Scenario 2.1 -- The first digit is odd, and all three of the other digits are even
If the first digit is odd, there are 5 choices for the first digit (1,3,5,7,9), and the next 3 digits each have 5 choices (2,4,6,8,0).
[tex]5*5*5*5=625\text{ choices}[/tex]
Scenario 2.2 -- The first digit is even, and exactly two of the other digits are even
If the first digit is even, there are 4 choices for the first digit (2,4,6,8), and if exactly two of the next 3 digits are even, then there are 5 choices for each of the two even digits (2,4,6,8,0), and 5 choices for the odd digit (1,3,5,7,9), and there are "3 permuted by 2" ways of ordering those three digits.
[tex]4* \left [(5*5*5) * {}_3 \! P_2 \right ]=\\\\=4*\left [5*5*5 * \dfrac{3!}{2!} \right ]\\\\=4*\left [ 5*5*5 * \dfrac{3*2*1}{2*1} \right ] \\\\=4*\left [5*5*5 * 3 \right ] \\\\=1500\text{ choices}[/tex]
Scenario 2.2 broken down (calculated without using the permutation operation) -- The first digit is even, and exactly two of the other digits are even
Then either the second digit is odd (scenario 2.2.1), the third digit is odd (scenario 2.2.2), or the fourth digit is odd (scenario 2.2.3).
Scenario 2.2.1. The second digit is odd.
The first digit is even: 4 choices for the first digit (2,4,6,8)
The second digit is odd: 5 choices for the odd digit (1,3,5,7,9)
The third and fourth digits are even: 5 choices for each even digit (2,4,6,8,0).
[tex]4*5*5*5=500\text{ choices}[/tex]
Scenario 2.2.2. The third digit is odd.
The first digit is even: 4 choices for the first digit (2,4,6,8)
The second and fourth digits are even: 5 choices for each even digit (2,4,6,8,0).
The third digit is odd: 5 choices for the odd digit (1,3,5,7,9)
[tex]4*5*5*5=500\text{ choices}[/tex]
Scenario 2.2.3. The last digit is odd.
The first digit is even: 4 choices for the first digit (2,4,6,8)
The second and third digits are even: 5 choices for each even digit (2,4,6,8,0).
The last digit is odd: 5 choices for the odd digit (1,3,5,7,9)
[tex]4*5*5*5=500\text{ choices}[/tex]
Scenarios 2.2.1, 2.2.2, and 2.2.3 comprise all of Scenario 2.2, so [tex]500+500+500=1500\text{ choices}[/tex]
Part 4. ConclusionHow many ways can a 4 digit number be formed where at least 4 of the digits are even?
This is the sum of the choices from Scenario 1, Scenario 2.1, and Scenario 2.2, so [tex]500+625+1500=2625\text{ choices}[/tex].
f(x)=x^2-x-56=0 what are the zeros in the function?
please help!!!
Answer:
-7, 8.
Step-by-step explanation:
x^2 - x - 56 = 0
Let's see if we can factor this function:
We need 2 numbers whose product is -56 and whose sum is -1 ( which is the coefficient of x).
They are -8 and 7 , so the factors are:
(x - 8)(x + 7) = 0
x - 8 = 0 giving x = 8 and
x + 7 = 0 giving x = -7.
The zeros are -7, 8
Find the value of x in the given figure
Step-by-step explanation:
3x° + 2x° = 180° ( supplementary angle )
5x° = 180°
x = 180° / 5
x = 36°
[tex]...[/tex]
How would I do these questions?
A parabola has x- ints of -1 and 2 and passes through (4,10). Find its equation.
A parabola has x-ints of -2 and 3 and y int of -3. Find its equation.
A parabola has x-ints of 1/2 and 2 and passes through the point (1,3). Find its equation.
Any help will be greatly appreciated. I don't know the format of writing it out, so try to explain it easily so I can understand it. Thank you!
Answer:
Step-by-step explanation:
hello :
1)
the equation is : f(x)= a(x+1)(x-2) because : x- ints of -1 and 2 means :
f(-1)=0 and f(2)=0
calculate : a given f(4)=10
so : a(4+1)(4-2)=10
10a =10 so : a = 1
the equation is : f(x)= (x+1)(x-2)
2) and 3) same method but * y int of -3* meanes : f(0)= - 3
A rectangular swimming pool with a length of 18m and width of 8m is surrounded by a concrete patio. The patio is a uniform 3m width around the entire pool. What is the area of the patio
The area of the patio is 192 [tex]m^{2}[/tex]
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area.
Length of swimming pool=18 m
Width of swimming pool=8 m
Area of swimming pool= 18*8 = 144[tex]m^{2}[/tex]
Width of patio=3m
Total length of swimming pool=18+2(3)=24 m
Total width of swimming pool=8+2(3)=14 m
Total area=24*14=336 [tex]m^{2}[/tex]
Area of patio= total area - Area of swimming pool
=336-144
=192 [tex]m^{2}[/tex]
Learn more about area here:
https://brainly.com/question/25292087
#SPJ4
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Describe the probability of finding a red marble?
Describe the probability of finding a blue marble?
Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
What affect did removing the first marble from the box have on the problem?
Describe the probability of finding a red marble followed by the blue marble if the first marble is removed?
The probability of randomly getting first a red marble and then a blue marble is:
P = 0.083
How to find the probability?
There are:
3 blue marbles2 red marbles4 yellow marbles.For a total of 9 marbles.
The probability of getting a red marble is equal to the quotient between the number of red marbles and the total, so:
P(red) = 2/9
Then the probability of getting a blue marble is equal to the quotient between the number of blue marbles and the total, but because we already took one marble, now the total is 8.
P(blue) = 3/8
The joint probability is given by the product:
P = (2/9)*(3/8) = 0.083
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
What is the slope of the line through (3,2) and (-3,4)?
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
[tex]\small\mathbb\green{slope=M= \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 2)}{3 - 3} \: = \frac{6}{0} \: = ∞} [/tex]
The graph of a relation is shown.
A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.
–2
0
The values which could be the slope of the line are numbers > 0.
Which values could be the slope of the line?According to the task content, it follows that the given line originates from the lower left quadrant and continues through the upper right quadrant.
It therefore follows that the line is ascending from left to right in which case, the slope of the line is positive.
Hence, the possible values of the slope include the set of numbers greater than 0.
Read more on slope of lines;
https://brainly.com/question/534570?source=archive
#SPJ1
Answer: C and D
Step-by-step explanation: Trust me bro
Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.
The solution of the given exponential equation is 0.688.
Given that Mike is working on solving the exponential equation 37ˣ = 12.
An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.
firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:
aˣ = y
logₐy = x
Now, we will apply this transformation to our equation and we get
log₃₇12=x
Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:
x=log12/log37
So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:
x≈1.079/1.568
x=0.688
Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.
Learn more about exponential equation from here brainly.com/question/24162621
#SPJ4
Solve the following linear system algebraically. State why you chose the method you used.
x + 3y = 7
2x + 4y = 11
There are two methods of solving systems of equations:
substitutioneliminationSubstitution is where we substitute one equation into the other by isolating a certain variable, or a group of terms.
Elimination is where we subtract the two equations. Before doing this, we may have to multiply one equation by a certain number to make sure one variable cancels out.
Solving the QuestionWe're given the following equations:
[tex]x + 3y = 7[/tex][tex]2x + 4y = 11[/tex]Because they are organized in the same manner (i.e. x [operation] y [equals] number), it is easier for us to use elimination.
First, multiply the first equation by 2:
[tex]x + 3y = 7\\2(x + 3y) = 2(7)\\2x + 6y = 14[/tex]
Now, subtract the second equation from the one we just created:
[tex]\hspace{10}2x + 6y = 14\\-2x + 4y = 11\\\rule{67}{0.3}\\2y=3[/tex]
Solve for y:
[tex]y=\dfrac{3}{2}[/tex]
To solve for x, we can use substitution in the first equation:
[tex]x + 3y = 7\\\\x + 3(\dfrac{3}{2}) = 7\\\\x + \dfrac{9}{2} = 7\\\\x = 7- \dfrac{9}{2}\\\\x = 7- 4.5\\\\x = 2.5\\\\x=\dfrac{5}{2}[/tex]
Answer[tex]x=\dfrac{5}{2}[/tex]
[tex]y=\dfrac{3}{2}[/tex]
Mrs. Pollo was making pizza. She used 3/8 of a cup of olives to make 1 pizza. At this rate, what amount of olives would she use on 1/2 of a pizza?
8. The heights of female students at North Shore High School are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. About how many students in a random sample of 1000 female students could we expect to have heights less than 167.5 cm
The number of students with heights less than 163 cm should be expected is 12.
According to the statement
The mean of height is 175 cm
and the standard deviation of height is 6 cm.
We use normal distribution here with formula
Z= X - μ /σ
Here X is 167.5 and μ is 175 and σ is 6 cm.
Substitute the values in it then
Z = 167.5 - 175 / 6
Z = -1.25
-1.25 have a p value 0.012
Out of 1000 students:
0.012 x 1000 = 12.
So, The number of students with heights less than 163 cm should be expected is 12.
Learn more about DISTRIBUTION here https://brainly.com/question/1094036
#SPJ4
What is the PERT weighted average based on an optimistic estimate of six days, a most likely estimate of eight days, and a pessimistic time of sixteen days
the PERT weighted average is 9 days
What is PERT weighted average?
PERT can be defined as an estimating technique that uses a weighted average of three numbers to get a final estimate.
The formula for finding the PERT weighted average is given as;
PERT weighted average = (Optimistic + (4 X Most Likely) + Pessimistic)/6
We have;
Optimistic = 6 daysMost likely = 8 daysPessimistic = 16 daysSubstitute the values into the formula
PERT weighted average = [tex]\frac{6 + 4(8) + 16 }{6}[/tex]
PERT weighted average = [tex]\frac{54}{6}[/tex]
PERT weighted average = 9 days
Thus, the PERT weighted average is 9 days
Learn more about PERT analysis here:
https://brainly.com/question/22280115
#SPJ1
IM GOING TO RIDE A ROLLER COASTER AND IM SCARED BUT IM NEXT HELP
Answer:
Ok nice! Have Fun! Don't be scared it will be ok just face your fear and it will be fun. I never seen or been here. What is this amusement park called and where is it?
A newspaper reports the following changes in temperature of the city over 4 days.
3.24 degrees celsius, -3/8 degrees celsius! -0.15 degrees celsius, 7/9 degrees celsius
. write an expression to show the daily average change in the temperature of the city.
write the steps to solve the expression round your answer to the nearest hundreth
(you will get 50 points if you answer my question correct)
The average change in the temperature of the city is 0.87°C.
The average quantity is the sum of all quantities divided by the number of quantities.
In the question, we are informed that a newspaper reports the changes in the temperature of the city over 4 days to be 3.24°C, - 3/8 °C, - 0.15 °C, and 7/9 °C.
We are asked to write an expression to show the daily average change in the temperature of the city.
As we know, the average quantity is the sum of all quantities divided by the number of quantities.
Thus, average = {(3.24 - 3/8 -0.15 +7/9)/4} °C,
or, average = {{324/100 - 3/8 - 15/100 + 7/9}/4} °C,
or, average = [{(23328 - 2700 - 1080 + 5600)/7200}/4] °C,
or, average = 25148/28800 °C,
or, average = 6287/7200 °C = 0.8732 °C ≈ 0.87 °C.
Thus, the average change in the temperature of the city is 0.87°C.
Learn more about the average of a quantity at
https://brainly.com/question/20118982
#SPJ4
Which statement is true regarding the graphed functions?
I need help and can’t find the answers anywhere
Answer:
f(0)=g(0)
Step-by-step explanation:
The problem is asking for where the output (y value) of one function, f(x), matches the output of another function, g(x), otherwise called an intersection. You can see that the two lines intersect at 0 on the x axis in the graph, therefore f(0)=g(0) meaning the outputs of f(x) are the same as g(x) at x value 0.