Answer:
$1.50 per mile
Step-by-step explanation:
y = 3.75 + 1.5(x - 1)
~Simplify left side
y = 3.75 + 1.5x - 1.5
~Combine like terms
y = 2.25 + 1.5x
As we can see, this question is written in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept.
1.5x resembles the slope (cost of how many miles you ride in the taxi)
2.25 resembles the y-intercept. We can just assume this is the "fee or tip" amount since the question doesn't state what this actually is.
Since 1.5 is the slope, this is the rate of change.
Best of Luck!
The rate of change of cost with respect to the number of miles is 1.5 dollars per mile.
Given information:
The function [tex]y = 3.75 +1.5(x - 1)[/tex] can be used to determine the cost in dollars for a taxi ride of x miles.
It is required to calculate the rate of change of cost with respect to the distance traveled.
The rate of change of cost can be measured as,
[tex]y = 3.75 +1.5(x - 1)\\y = 3.75 +1.5x - 1.5\\\dfrac{dy}{dx}=0+1.5-0\\\dfrac{dy}{dx}=1.5[/tex]
Therefore, the rate of change of cost with respect to the number of miles is 1.5 dollars per mile.
For more details, refer to the link:
https://brainly.com/question/8223651
If 20 shirts cost $100, how many shirts can i buy for $300 ?*
Answer:
60
Step-by-step explanation:
State all interger values of x in the interval [-3,3] that satisfy the following inequality: -3x4 is greater than it equal to 9
Answer:
x = - 2, - 3
Step-by-step explanation:
Given
- 3x + 4 ≥ 9 ( subtract 4 from both sides )
- 3x ≥ 5
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x ≤ - [tex]\frac{5}{3}[/tex]
The only values of x that satisfy the inequality in the interval { - 3, 3 } are
x = - 2, x = - 3
Evaluate (0.15 x 2.3) *
O 0.345
0 3.45
0.35
O 3.005
Which one right
Answer:
0.345 thats the answer
Answer:
B. 3.45
I hope it helps you
What is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50, 60
Answer:
the mean is 37.5
Step-by-step explanation:
you get this by adding all the values and then dividing by how many values there are.
The mean of the given values will be equal to 37.5.
The numbers given are 10, 20, 35, 35, 35, 40, 45, 45, 50 and 60
We have to find out the mean of the given numbers.
What is mean ?
The mean is equal to the sum of given numbers divided by the total number of numbers.
As per the question ,
Numbers given are ; 10, 20, 35, 35, 35, 40, 45, 45, 50 and 60
The sum of all above numbers is ;
= 10 + 20 + 35 + 35 + 35 + 40 + 45 + 45 + 50 + 60
= 375
and
Total number of numbers = 10
So , the mean will be ;
Mean = sum of all numbers / total number of numbers
⇒ Mean = [tex]\frac{375}{10}[/tex]
⇒ Mean = 37.5
Thus , the mean of the given values will be equal to 37.5.
To learn more about mean of values click here ;
https://brainly.com/question/256619
#SPJ2
(i) Which of the following is an empty
set?
A {x: x is a whole number that is
divisible by 3}
B {x: 35 < x < 40, x is a prime
number}
C {name of a town in Malaysia
starting with the letter x}
D {month that begins with the
letters
Answer:
ok
ok
Step-by-step explanation:
ok
ok
ok
ok
ok
ok
ok
on
ko
k
k
k
How do you write an equation of a line that passes through points (6,5) & (-6,-4)
Answer:
y = 3/4x + 1/2
Step-by-step explanation:
We can use the formula [ y2-y1/x2-x1 ] to solve for the slope.
-4-5/-6-6
-9/-12
9/12
3/4
Find the y-intercept.
y = 3/4x + b
5 = 3/4(6) + b
5 = 4.5 + b
0.5 = b
y = 3/4x + 1/2
Best of Luck!
First of all, Let's find the slope because we need it on the formula for finding the y-intercept.
m = y2 - y1 / x2 - x1From the points given in the question,
x1 = 6x2 = -6y1 = 5y2 = -4Plugging in the above formula,
➝ m = -4 - 5 / -6 - 6
➝ m = -9 / -12
➝ m = 3/4
Now finding the y-intercept[tex]:[/tex]
➝ y = mx + b
And if we put in the values from our first point (6, 5) we get
➝ 5 = 3/4 (6) + b
➝ 5 = 9/2 + b
➝ b = 5 - 9/2
➝ b = 1/2
Required equation of the line:
➝ y = 3/4x + 1/2
Carry On Learning !
i know the fact that I'm stupid but please help
Answer:
Perpendicular lines have opposite reciprocal slopes, so the slope of the line is -.5
Now, y=.5x+b, so you plug in the point -2,6.
6=.5(-2)+b
6=-1+b, so b=7.
The equation is y= .5x+7
HELPPP THIS IS DO BEFORE 5:00PM AND ITS 4:59pm
identify a possible value for x that would make the relation shown in the table not a function
Answer:
well you can add another -1, or another 2
Step-by-step explanation:
because more than 1 x is banned
2x + 3 + x2; for x = 4
Answer:
27
Step-by-step explanation:
substitute the given value of x: 2(4) + 3 + (4)^2
simplify: 8 + 3 + 16
add: 8 + 3 + 16 = 27
Please please please help me with this geometry question!
(See image up top for question and answer choices)
Thank you!!!!!
The answer is:
A
60 degrees
ASAPPP i need it today
Consider the function
f(x) = 8x^3 +1.
If f(g(x)) = x and g(f(x)) = x , find g(x) ?
[tex]g( \: f(x) \: ) = x[/tex]
And
[tex]f( \: g(x) \: ) = x[/tex]_________________________________
So :
[tex]g(x) = {f}^{ - 1}(x) [/tex]
And
[tex]f(x) = {g}^{ - 1}(x) [/tex]
_________________________________
So to find g(x) , we must find the inverse of f(x) .
Let's do it .....
[tex]f(x) = 8 {x}^{3} + 1 [/tex]
[tex]y = 8 {x}^{3} + 1 [/tex]
Subtract the sides of the equation minus 1
[tex]y - 1 = 8 {x}^{3} [/tex]
Divided the sides of the equation by 8
[tex] \frac{y - 1}{8} = {x}^{3} \\ [/tex]
From the sides of the equation, we take the radical with interval 3
[tex] \sqrt[3]{ \frac{y - 1}{8} } = x \\ [/tex]
[tex] \sqrt[3]{ \frac{1}{8}(y - 1) } = x \\ [/tex]
[tex] \frac{1}{2} \sqrt[3]{y - 1} = x \\ [/tex]
[tex] \frac{ \sqrt[3]{y - 1} }{2} = x \\ [/tex]
So ;
[tex] {f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\ [/tex]
Now we find g(x) which is :
[tex]g(x) = \frac{ \sqrt[3]{x - 1} }{2} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
If f(g(x)) = x and g(f(x)) = x , than [tex]\rm g(x) = \sqrt[3]{\dfrac{x-1}{8}}[/tex] and this can be calculated by finding the inverse of the given function f(x).
Given :
[tex]\rm f(x) = 8x^3+1[/tex]f(g(x)) = x and g(f(x)) = xGiven that f(g(x)) = x it means that:
[tex]\rm g(x) = f^{-1}(x)[/tex]
It is also given that g(f(x)) = x that means:
[tex]\rm f(x) = g^{-1}(x)[/tex]
Now, the inverse of f(x) is given by the following calculation:
[tex]\rm f(x) = 8x^3+1[/tex]
Now, replace f(x) with y in the above equation.
[tex]y = 8x^3+1[/tex]
Now, replace y with x and x with y and evaluate 'y'.
[tex]x = 8y^3 +1[/tex]
[tex]\sqrt[3]{\dfrac{x-1}{8}}=y[/tex]
Now, replace y with [tex]\rm f^{-1}(x)[/tex] in the above equation.
[tex]\rm f^{-1}(x) = \sqrt[3]{\dfrac{x-1}{8}}[/tex]
[tex]\rm f^{-1}(x) = \sqrt[3]{\dfrac{x-1}{8}} = g(x)[/tex]
For more information, refer to the link given below:
https://brainly.com/question/13715269
12
Directions: Select the correct answer from each drop-down menu.
Identify the values that make the equation true.
-4.67 + (5.24 -
+ 7.98) = 13.26
Solve for x.
x + 5 > 4
Answer:
x > -1
Step-by-step explanation:
Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.
Subtract 5 from both sides:
x + 5 (-5) > 4 (-5)
x > 4 - 5
x > -1
x > -1 is your answer.
~
Answer:
x > -1
Step-by-step explanation:
Step 1: Write inequality
x + 5 > 4
Step 2: Solve for x
Subtract 5 on both sides: x > -1Here we see that any value x that is greater than -1 will work.
Cos(100)-cos(99)=?
Can you do it step by step
Let's see what to do buddy...
________________________________
If 99 & 100 are in Degree
_________________________________
STEP (1)
The angles 99 and 100 are in the second quarter of the trigonometric circle.
The cosine is negative in the second quarter.
To make things easier, we can use angle conversion.
Look :
[tex]we \: know \: that \: 100 = 90 + 10[/tex]
[tex]also \: we \: know \: 99 = 90 + 9[/tex]
So :
[tex] \cos(100) = \cos(90 + 10) = \cos( \frac{\pi}{2} + 10 ) \\ [/tex]
[tex] \cos(99) = \cos(90 + 9) = \cos( \frac{\pi}{2} + 9 ) \\ [/tex]
_________________________________
STEP (2)
Well now we have to do the arc deletion.
To remove the arc, we remove π/2 from the arc.
Remember that every time we remove π/2 from the arc, the trigonometric ratio changes.
That is, if it is a sine, it becomes a cosine, and if it is a cosine, it becomes a sine.
Or if it is a tangent, it becomes a cotangent, and if it is a cotangent, it becomes a tangent.
[tex]in \: second \: quarter \: cosine \: is \: negative \\ \\ \cos( \frac{\pi}{2} + 10 ) = - \sin(10) = - 0.173 [/tex]
[tex] \cos( \frac{\pi}{2} + 9 ) = - \sin(9) = - 0.156 \\ [/tex]
_________________________________
STEP (3)
[tex] \cos(100) - \cos(99) = \\ - \sin(10) - ( - \sin(9) \: ) = \\ - 0.173 - ( - 0.156) = \\ - 0.173 + 0.156 = - 0.017 [/tex]
And we're done here.
_________________________________
If 99 & 100 are in Radian
_________________________________
STEP (1)
First we need to know how many degrees 1 radian is.
The following equation is used to convert degrees to radians or radians to degrees.
[tex] \frac{degree}{180} = \frac{radian}{\pi} \\ [/tex]
So we have :
[tex] \frac{d}{180} = \frac{1}{\pi} \\ [/tex]
Multiply the sides of the equation by 180 :
[tex]d = \frac{180}{\pi} = \frac{180}{3.14} = 57.32 \\ [/tex]
So 1 radian is approximately equal to 57 degrees.
And we have :
[tex]100 \: rad \: = 100 \times 57 = 5700 \: deg \\ \\ 99 \: rad \: = 99 \times 57 = 5601 \: deg[/tex]
_________________________________
STEP (2)
Let's move on to deletion.
Look : 5700° = 15 × 360° + 300°
and : 5601° = 15 × 360° + 201°
We know π rad = 3.14 × 57 = 180° deg
So 2π rad = 2 × 180 = 360 ° deg
Then :5700 = 15 × 2 π + 300° = 30 π + 300°
and :5601 = 15 × 2 π + 201° = 30 π + 201°
Remember that deleting 2π is unconditional.
[tex] \cos(30\pi + 300) = \cos(300) = \cos(360 - 60) = \cos(2\pi - 60) = \cos( - 60) = \\ cosine \: eat \: negative \\ \cos( - 60) = \cos(60) = \frac{1}{2} [/tex]
[tex] \cos(30\pi + 201) = \cos(201) = \\ \cos(180 + 21) = \cos(\pi + 21) = \\ - \cos(21) = - 0.933 [/tex]
[tex] \frac{1}{2} - ( - 0.933) = 0.500 + 0.933 = 1.433[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
If p = -6, what does -10(P + 4) equal?
Answer:
20
Step-by-step explanation:
-10(p+4)
-10(-6+4)
60-40
20
please helpppppppppp
Answer:
B she left out a zero between the 2 and the 5
Answer:
b) She left a zero in between two and five.
The number given is 12050000, the underlined number is the number she missed while converting it into Scientific notation.
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
a cellphone is orginally priced at 120$ the store owner gives a discount now its at 90$ find the percentage discount
Answer:
40 percent
Step-by-step explanation:
60 plus 60 is 120 and take 20 from 60 and get 40 so 40 times 3 equals 123 so 40 percent
answer plz will give brainliest to the best and correct answer :)
itz only 1 question
Answer:
A = 54 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 18) * ( 6)
A = 54 units ^2
Answer:
54 units²
Step-by-step explanation:
Hello! :)
I don't know which equation your teacher wants you to use for the Area of a Triangle, but this is how I do it:
A= ½(b*h)
A= ½(18*6)
A= ½ (108)
A= 54
--------------------
If you prefer an explanation in word form, here you go:
The area of a triangle is Area= one-half, multiplied by its base and height.
A= ½(b*h)
So in this question, the base(b)= 18 and the height(h)= 6.
A= ½(18*6)
Then, you just solve the math problem (shown up above)!
Good luck with your homework, and I don't need a brainliest I just wanted to help! :)
PLEASE HELP I NEED TO PASS MATH AND I DON’T UNDERSTAND
Answer:
Equation: [tex]x=9[/tex]
Step-by-step explanation:
First graph the points on the coordinate plane, then find the x and y intersections and the slope. Since the slope is 0, and the x intersection is 9, you get [tex]x=9[/tex].
please help with the first question.
angle help!
yw good luck
i did the three questions then i put some math notes in the bottom right corner
Is 3/2 the opposite of 6/4 on a number line? Please I’m so bad at this
Answer:
No, the opposite would be negative 6/4
Step-by-step explanation:
3/2 is just a simplified version of 6/4
please help its for a lot of points and need it done fast
Answer:
1. x=2
2. x= -4
3. x= -7
4. x = -4
Step-by-step explanation:
hope this helps :)
Answer:
the first one is x=2 the second one is x=-4 the third one is x= -7the fourth one is x=4
Step-by-step explanation:
8x + 12 = 12 + 8x
o No solution
o All real numbers
i need the answer quickly it’s a test and i’ll give brainliest i just need the answer quickly!! ❤️❤️
Sal made 6 ft of sausage links on Friday morning. He used 3 ft for dinner service on Friday night. On Saturday morning, he made another 6 ft of sausage links and used 9 ft for dinner service Saturday night. What is the net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night? A. 1 ft B. -1 ft C. 2 ft D. 0 ft
Answer:
-6 ... even though it is not one of the options would be the correct answer.
Step-by-step explanation:
In order to solve this problem we can take it one step at a time. Sal started Friday morning with 6ft of sausage
6ft
He used 3ft for dinner on Friday night which means he subtracted 3ft.
6ft - 3ft = 3ft
He made another 6ft Saturday morning which means he added to his existing sausage link.
3ft + 6ft = 9ft
Finally, he used 9ft for dinner Saturday Night which means he subtracted 9ft.
9ft - 9ft = 0ft
Therefore, the net change would be -6 since Sal started with 6ft and ended with 0ft during this time.
Find the value of each expression. Then, complete the inequality statement.
Answer:
<
Step-by-step explanation:
If you add negitives you get a negitive and a plus a positive you get positive positives are bigger than negitives
What’s the answer????
PLEASE HELP
In the following figure (AB) (CD). Suppose that m<1=32 (degrees). What is the m<6 ? Explain your reasoning.
Answer:
m∠6 = 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel line and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
Since, ∠4 ≅ ∠6 [Alternate interior angles]
m∠4 = m∠6 = 148°
Therefore, m∠6 = 148°
Answer:
148°Step-by-step explanation:
see attached
Describe how to solve -5x = 30.
Answer:
x = -6
Step-by-step explanation:
-5x = 30
Divide each side by -5
-5x/-5 = 30/-5
x = -6
Can someone find (x) I will crown u as a brainliest masteR
======================================================
Explanation:
In any quadrilateral, the four angles always add to 360
P+Q+R+S = 360
x+5x+x+5x = 360
12x = 360
x = 360/12
x = 30
This means
P = R = x = 30
Q = S = 5x = 5*30 = 150
So, P+Q+R+S = 30+150+30+150 = 360 which helps confirm the answer.
Answer:
x = 30
Step-by-step explanation:
the sum of all angles is 360
the picture shows that the sum equals 12x
12x=360
x= 360/12
x = 30