Answers
Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Now we have to choose two different points from table and let the one that has bigger x value be represented as [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]
Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2
Related Questions
Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?
Answers
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
How to determine the domain and the range
In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.
By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
To learn more on rational functions: https://brainly.com/question/27914791
#SPJ1
Answer:
Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)
Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)
Step-by-step explanation:
100% on the test
Solve for x
If you don’t know how to do it don’t answer
Answers
Can someone please help me with this one
Answers
Answer:
(-2, 15), (-1, 11), (0, 7), (1, 3), (2, -1)
Step-by-step explanation:
so i just took possible x values and plugged them into the equation, and from there you can solve for y.
Find the coordinates of the x intercept and y intercept
Answers
Answer:To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...
To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
To find the y-intercept, set x = 0 \displaystyle x=0 x=0.
answer is in there at the bottem
Step-by-step explanation:
Joaquin lives 0.4 mile from Keith. Layla lives 0.3 as far from Keith as Joaquin.
How far does Layla live from Keith? Enter an equation to solve.
Answers
from Keith as Joaquin.
solve.
solver r=1/2m2p for p
Answers
Answer:
p= 2r/m^2
Step-by-step explanation:
I WILL GIVE YOU BRAINLIST HURRY
Which expression is equivalent to 3(2x+1)−(x−1)
?
A
3x+6
B
5x+2
C
5x
D
5x+4
Answers
Answer:
b
Step-by-step explanation:
3(2x+1)-(x-1)
\ / / /
5x+2
Answer:
fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg
Step-by-step explanation:
What are the zeros of the function
Answers
Give the coordinates of one point that is 5 units from point C in the x-direction?
Answers
Draw a graph that represents y=3x+2
Answers
Answer:
See drawing below.
Step-by-step explanation:
use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.
plot points
(-1, -1)
(0, 2)
(1, 5)
Please give thanks :)
A proportional relationship can have a negative or positive unit rate.
True or False
Answers
Answer:
true :)
Step-by-step explanation:
hope this helps <3
Evaluate the polynomial for the given value of x.
- 4x5 - 5x4 – 3x3 - x? for x = -2
A. 97
B. 68
C. 64
D. 63
Answers
Answer:
I might be wrong but I think it is A
HELP !!!!!!! Speed = Distance divided by Time. A Race-car traveling at 75 miles an hour for 4 hours would travel... * THIS IS A REBEMTION TEST 275 miles 300 miles 325 miles 350 miles
Answers
Solve for x. Show your work.
Answers
7=3x+1
6=3x
x = 2
7(5a − 4) − 1 = 14 − 8a
Answers
Answer:
A=1
Step-by-step explanation:
7(5a-4)-1=14-8a
35a-28-1=14-8a
35a-29=14-8a
43a-29=14
43a=43
a=1
Answer:
41/43
Step-by-step explanation:
7(5a - 4) - 1 = 14 - 8a
35a - 28 - 1 = 14 - 8a
35a - 27 = 14 - 8a
35a + 8a = 14 + 27
43a = 41
a = 41/43
Hope this answer helps you
Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
Answers
Answer:
simple
Step-by-step explanation:
-12r+8-2r+2
-14r-10
What is this
y=3x-4
Answers
Answer:
4/3 or 1.3
Step-by-step explanation:
y= 3x-4
To find x- intercept/zero, Substuite y=0.
0= 3 x -4
Move the variable to the left-hand side and change its sign
-3x= -4
Divide both sides of the equation by -3
x= 4/3
(1.3 as a decimal)
Sorry for the blurry picture I'm in a rush if anyone could help me that would be amazing
Answers
Answer:
y=1/2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx
The value of the constant k is equal to the value of the slope m
In this problem we have the point (8,4)
Find the value of k
y/x=k------> substitute the value of x and y
4/8=k
k=1/2
The equation is equal to
y=1/2x
ANOTHER QUICK ONE !!! ,
Jill drives at a rate of 50 miles per hour for 250 miles. If she plans to drive a total of 450 miles
during her trip, how many hours does she have left to drive at the same rate ?
Answers
Answer:
bsgdhv is the ghj is the most
Answer:
4 more hours.
Step-by-step explanation:
So, to calculate the remaining time Jill has to drive, we have to first find out how much distance Jill has left to cover:
[tex](450 - 250)[/tex] miles
= [tex]200[/tex] miles
So, at a rate of 50 miles per hour, Jill has to drive:
[tex]\frac{200}{50}[/tex] more hours
= [tex]4[/tex] more hours
Hope this helped!
A TV has an original price of $499. What is the new price after a 15% increase?
Answers
Given:
Original price of a TV = $499
Price increased by 15%.
To find:
The new price of the TV.
Solution:
According to the question,
New price of the TV = Original price + 15% of its original price.
[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]
[tex]\text{New price of the TV}=499+74.85[/tex]
[tex]\text{New price of the TV}=573.85[/tex]
Therefore, the new price of the TV is $573.85.
i need help!! please
Answers
========================================================
Explanation:
The old dimensions of the rectangle were 30 by 15.
The new dimensions are 30+x by 15+x, where x is some positive number.
The new rectangle dimensions multiply to 1000
(30+x)(15+x) = 1000
Use the FOIL rule to expand out the left side like so
(30+x)(15+x) = 1000
450+30x+15x+x^2 = 1000
450+45x+x^2 = 1000
x^2+45x+450
Then lets get everything to one side
x^2+45x+450 = 1000
x^2+45x+450-1000 = 0
x^2+45x-550 = 0
---------------------
From here we use the quadratic formula
Plug in a = 1, b = 45, and c = -550.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(45)\pm\sqrt{(45)^2-4(1)(-550)}}{2(1)}\\\\x = \frac{-45\pm\sqrt{4225}}{2}\\\\[/tex]
[tex]x = \frac{-45\pm65}{2}\\\\x = \frac{-45+65}{2} \ \text{ or } \ x = \frac{-45-65}{2}\\\\x = \frac{20}{2} \ \text{ or } \ x = \frac{-110}{2}\\\\x = 10 \ \text{ or } \ x = -55\\\\[/tex]
Earlier we defined x to be a positive number. This means we ignore x = -55. It makes no sense to add on a negative amount to each dimension.
The only practical answer is x = 10.
So each dimension is increased by 10 feet.
--------------------------
If x = 10, then the old dimensions of 30 by 15 bump up to 30+10 = 40 by 15+10 = 25
Then note how 40*25 = 1000, which helps confirm we have the correct dimensions.
--------------------------
Now go back to the question at hand: we want to find the new width. The old width was 30 feet. The new width is 30+x = 30+10 = 40 feet
(3x+2) (4x-5) find the value of x
Answers
Answer:
I think the answer is 35x⁴-10
Step-by-step explanation:
3x × 4x=12x²
3x × 5=15x
2 × 4x=8x
2 × -5=-10
15x+8x=23x²
12x²+23x²=35x⁴
35x⁴-10
What is the difference between the let statements of consecutive even integers and consecutive odd integers
Answers
Answer and Step-by-step explanation:
The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:
1, 2, 3, 4, 5, 6, 7, 8, . . .
If we write down these integers in such a way that only even integers follow back-to-back, we have:
2, 4, 6, 8, . . .
If we write down these integers in such a way that only odd integers follow back-to-back, we have:
1, 3, 5, 7, . . .
Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.
Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.
How do I find out what f(x) is if the graph defines h(x)
Answers
Answer:
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Step-by-step explanation:
h(x) is defined by the formula,
h(x) = -4f(x) + 7
If the graph attached is of the function 'h' and we have to find the function 'f',
h(x) - 7 = -4f(x)
4.f(x) = -h(x) + 7
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Therefore, function 'f' will be defined by,
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40. What is this population of the bacteria after 40 hours?
Answers
x²=9/25
what is it
need help reply
Answers
8. Identify the domain and range to the following relations and state whether or not the relations are functions. State why or why not the relation is a function.
Domain:
Range:
Is this a function? Yes or No? Explain your answer.
Answers
Answer:
this is not a function because y-values repeat
Step-by-step explanation:
What is the value of 25 when z = 2?
Answers
Answer:
The question makes no sense in my opinion
Please answer this question.
Answers
Answer:
Step-by-step explanation:
It’s 88
Solve. 45 + (-5) - 4 + 7
A: 45
B: 0
C: -34
D: 43
Answers
45 - 5 - 4 + 7
40 - 4 + 7
36 + 7 = 43
The answer is D. 43
Answer:
D. 43
Step-by-step explanation:
45 + (-5) = 40
40 - 4 = 36
36 + 7 = 43
