Answer:
B. [tex] y = 160x + 2400 [/tex]
Step-by-step explanation:
The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:
m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
b = starting value = y-intercept = 2,400
Slope of the linear equation using (0, 2400) and (10, 4000):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]
Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].
Thus, the linear equation in slope-intercept form would be:
✅[tex] y = 160x + 2400 [/tex]
I need help any help is appreciated please
Answer:
third option both cost the same after 2 months
2) How old am I if 300 reduced by 4 times my age is 44?
Answer:
64
Step-by-step explanation:
300 -4x = 44
(300 - 44)/4= 64
check
64 x 4 =256
300 - 256 = 44
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
Writing equation of the line that passes through the given points (16, -4) ; m= -3/4
Answer:
y = -3/4 - 12
Step-by-step explanation:
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?
Given :
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.
For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.
To Find :
The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.
Solution :
Let, minimum number of days are x.
So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]
Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]
r&r should be better deal when :
[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]
So, for better deal at r&r minimum number of vacation days is 57.
Hence, this is the required solution.
Three pounds of oranges cost $4.50 complete the table
What is y-8=3(x+1) in standard form
Answer: 3x - y= -11
Step-by-step explanation: just rewrite in youre standard form equation
Can any one help
WILL GIVE 30 POINTS
Answer:I think it’s b too
Step-by-step explanation:
please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
For a function, each input(x) can only have ONE output (y). Is this a function?
Il-1, 1), (-1,0),(-1,-1),(-1,-2)}
Answer C
Step-by-step explanation:
HELP PLS IDK WHAT TO DO
Answer: hmmm i think u should multiply
Step-by-step explanation:
Answer:
gfbngfjhbfgnbfhbnng
Step-by-step explanation:
Find the slope of the line that passes through (4,2) and (9,1)?
Answer: m= -1/5
Step-by-step explanation:
Find the Slope (4, 2) and (9, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁
m = _____
x₂ − x₁
Substitute in the values of x and y into the equation to find the slope.
1 − (2)
m = _____
9 − (4)
Simplify the numerator.
−1
m = _____
9 − (4)
Simplify the denominator.
−1
m = _____
5
Move the negative in front of the fraction.
−1
m = _____
− 5
Answer:
The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].
Step-by-step explanation:
We are given two coordinate points:
[tex](4, 2)[/tex][tex](9, 1)[/tex]We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
[tex](x_1, y_1), (x_2, y_2)[/tex]
Therefore, we can also label our coordinates as such:
[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.
[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]
Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].
which describes the correlation shown in the scatter plot ?
A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation
Answer:
It is B because it is negative correlation.
Step-by-step explanation:
Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.
It is B.
2x100x3x0 solve lol :)
Answer:
the answer is 0
Step-by-step explanation:
2x100x3x0 equals and levels out to 0 :)
Answer:
0
Step-by-step explanation:
100 x 2 = 200
200 x 3 = 600
600 x 0 = 0
5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4
Answer:
A
Step-by-step explanation:
In 2/3 divided by 4/5 the____ is 2/3 .
Answer:
Numerator
Step-by-step explanation:
2/3 / 4/5. 2/3 is the numerator of the compound fraction.
Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4
Answer:
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
[tex]x-2y=4[/tex]
solving for y to writing the equation in the slope-intercept form and determining the slope
[tex]x-2y=4[/tex]
Add -x to both sides.
[tex]x - 2y + (-x) = 4+(-x)[/tex]
[tex]-2y = 4 - x[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]
[tex]y=\frac{1}{2}x-2[/tex]
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
As the slopes of both lines 'm' and 'n' are the same.Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
2 4/5 ÷ 2 1/5 =
(Please answer as a fraction)
Answer:
1 3/11
Step-by-step explanation:
100 POINTS PLS HELP
2 5.2.3 Quiz: Canceling Units
Question 2 of 15
In converting 105 seconds to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 seconds in 1 minute.
Answer here
Write the equation in Standard Form.
y=3/2x - 6
Answer:
3x - 2y = 12
Step-by-step explanation:
3x-2y=12 is the standard form of equation y=3/2x - 6
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The equation is y=3/2x - 6
y equal to three by two times of x minus six
y=3/2x - 6
LCM of 1 and 2 is 2
y=(3x-12)/2
Now apply cross multiplication
2y=3x-12
Two times of y equal to three times of x minus twelve
Now take 2y to RHS side
3x-2y-12=0
3x-2y=12
Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
Which statement describes a ratio?
Write the slope-intercept form of the equation of the line described.
What is the solution for the equation 4x – 10 = 2x?
Answer:
5x
Step-by-step explanation:
subtract 4x fromboth sides
4x-10=2x
-4x -4x
divide both sides by -2
-10=-2x
-10/-2=-2x/-2
5=x
Can somebody help me on this one
PLEASE HELP WILL MARK BRAINLIEST
WHICH OF THESE IS EQUIVALENT TO 4^-3 ?
(-4)(-4)(-4)
3^4
(-1/4)(-1/4)(-1/4)
1/4^3
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
sports drinks- $1.75
pizza- $2.25
Answer:
7 drinks
Step-by-step explanation:
7x1.75=12.25
4 x 2.25= 9
added - 21.25
Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800
Answer:
20%
Step-by-step explanation:
20% of 6000 = 4800
If I helped you, can you mark me brainliest please?
Please help ASAP! :)
I WILL MARK Brainliest!!!
Answer:
3
Step-by-step explanation:
I need help, can somebody plz help
Answer:
c
Step-by-step explanation: