Answer:
x = 1/9(b)
Step-by-step explanation:
Step 1: Subtract 6x from both sides.
[tex]-3x + b - 6x = 6x - 6x[/tex] [tex]-9x + b = 0[/tex]Step 2: Subtract b from both sides.
[tex]-9x + b - b = 0 - b[/tex] [tex]-9x = -b[/tex]Step 3: Divide both sides by -9.
[tex]\frac{-9x}{-9}= \frac{-b}{-9}[/tex] [tex]x = \frac{1}{9}b[/tex]Therefore, [tex]x = \frac{1}{9}b[/tex].
The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.
The question is an illustration of the sine function.
The average daily fuel consumption is 30.3The vertical shift represents the average daily fuel consumptionThe function is given as:
[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]
A sine function is represented as:
[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]
Where d represents the vertical shift.
In this case, d represents the average rate
So, the average daily fuel consumption is 30.3
The term that represents the average daily fuel consumption is the vertical shift of the sine function.
Read more about sine functions at:
https://brainly.com/question/12015707
I need someone to explain to me how to solve this, because I need to show my work.
What quantities are being compared? (If there are x- and y- axes, what do they represent?)
Answer:
The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
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solve the compound inequality-8 < 5x + 7 <2
Answer:
-3 < x ≤ -1
Step-by-step explanation:
-8 < 5x + 7 ≤ 2
First, subtract 7 from all sides of the inequality:
-8 - 7 < 5x + 7 - 7 ≤ 2 - 7
-15 < 5x < -5
Divide all sides by 5 to isolate x:
-15 ÷ 5 < 5x ÷ 5 ≤ -5 ÷4
-3 < x ≤ -1
Hope this helps!
What is quivalent to 5/8?
Answer:
10/16 is also equivalent
Answer:
0.625
Step-by-step explanation:
All you have to do is put it in decimal form.
M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, find PM.
(4 Points)
Enter your answer
If M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, then PM = 58
Since M is the midpoint of PQ
PM + MQ = PQ................(*)
Given:
PQ = 6x + 56
MQ = 5x + 8
Substitute PQ and MQ into equation (*)
PM + (5x + 8) = 6x + 56
Collect like terms
PM = 6x + 56 - (5x + 8)
Expand the equation using the distributive rule
PM = 6x + 56 - 5x - 8
PM = 6x - 5x + 56 - 8
PM = x + 48.........(**)
Equate MQ and PM
MQ = PM
5x + 8 = x + 48
Collect like terms
5x - x = 48 - 8
4x = 40
Divide both sides by 4
4x / 4 = 40/4
x = 10
Substitute x = 10 into equation (**)
PM = x + 48
PM = 10 + 48
PM = 58
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1. Refer to the equation 2x − 4y = 12.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
1a
2d
3I
4j
5b
6o
7q
Step-by-step explanation:
The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.
Answer:
216
Step-by-step explanation:
135/5=27
27*8=216
Jackson’s mom limits the amount of time he is allowed to play video games. After Jackson plays for 9minutes, his mom tells him that he has used up 30% of his time. How many more minutes can Jackson play before he uses all of his time?
Answer:
21 minutes
Step-by-step explanation:
30%=9
10%=3
100%-30%=70%
7×10%=70%
3x7=21
=21minutes
Simplify your perimeter expression as much as possible.
C.
x2
JR
Оа
b
4y + 4x + 4
2x + 4y + 2
2
C с
Answer:
1019191991
Step-by-step explanation:
08899988777777777
1
What is the solution to the equation
=
X+ 3
?
2x4
x = -3
x = -3 and x = 0
ооо
x = 0 and x = 3
O x= 3
Answer:
X+3 = 3x
2x4 = 8
_3x
check out the remaining answer
Help me on this please
Answer:
I think it's the answer.
Domain - { 1, 9, 0 }
Range - { -2, 9, 1, 2 }
Not sure
Explain why 0.02 x 0.3 = 0.006. Answer in at least 2 complete sentences.
Answer:
.02*.03=.006 because when you multiply decimals after you get your answer you need to move the decimal point over 3 spaces. You do this because when you move the decimal point out three to multiply it you have to move it back in three after you get your solution, or else it is incorrect.
Step-by-step explanation:
Click all of the multiples of 3 that are greater than 3 shown in the table. Don’t worry if a number has already been crossed out, go ahead and click it if it is a multiple of 3 that is greater than 3. (Choose 5)
12
6
15
7
18
9
Answer:
12 15 18 9 7
Step-by-step explanation:
Answer:
12, 6, 15, 18, 9Step-by-step explanation:
Multiples of 3 greater than 3 are:
12 = 3*46 = 3*215 = 3*518 = 3*69 = 3*3The only odd number is 7
Exit
What is the decimal equivalent of 4/5
Answer:
0.8
Step-by-step explanation:
to find the decimal equivalent we must get the denominator to 100
to do that we must multiply it by 20, 4/5 * 20/20 is 80/100
80/100 is also 80%, which is also 0.80 (which can be simplified to 0.8)
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In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?
Answer:
1320
Step-by-step explanation:
because half of 2640 is 1320
Answer: since two onces is 2,640 to find one once it would be 2,640 divide by 2 find the price of once once
Step-by-step explanation: 2,640/2 to find 1 once it would 1,320/1 or just 1320
Simplify the expression by combining like terms. Then,
evaluate the expression by substituting the given values
for the variables.
x=5 and y=2
y^2 + xy – 7y^2
Answer:
-14
Step-by-step explanation:
The like terms in this equation is y^2 and -7y^2 so combining the two the equation becomes:
xy-6y^2
Then we substitute the values in:
5×2-6×2^2 = -14
the x-intercept was substituted incorrectly
write the correct equation
an equation of the parabola is y =__________
Answer:
Step-by-step explanation:
let the eq. of parabola be
y=ax²+bx+c
points (-1,0),(2,0),(3,4) and (0,-2) lie on it.
0=a-b+c
0=4a+2b+c
subtract
3a+3b=0
a=-b
4=9a+3b+c
-2=0+0+c
c=-2
a-b-2=0
-b-b-2=0
-2b-2=0
b+1=0
b=-1
a=-b=-(-1)=1
eq. of parabola is
y=x²-x-2
Help plz I need it it’s hard
Answer:
the awnser is 2
Step-by-step explanation:
whats 3+9+3+6+5+8+4+3+9-23-1 divided by 2=
Answer:
13
Step-by-step explanation:
=26/2
=13
hope u got it
If i get good grades in 8th grade will it affect the classes I get in 9th grade?
Answer:
It will result if you have advanced classes or get an Ap class
Step-by-step explanation:
It will not affect your 9th grade..
Yet, you should work hard to achieve your aim and gain knowledge not for getting better marks.
For a function f, we are given that f(8) = 1 and f'(8) = 2.
What's the equation of the tangent line to the graph of f at x = 8?
Answer:
Step-by-step explanation: y
'
(
x
)
=
1
f
'
(
f
−
1
(
x
)
)
y
'
(
−
8
)
=
1
f
'
(
f
−
1
(
−
8
)
)
y
'
(
−
8
)
=
1
f
'
(
2
)
y
'
(
−
8
)
=
1
−
3
(
2
)
2
−
1
y
'
(
−
8
)
=
1
−
12
−
1
y
'
(
−
8
)
=
−
1
13
Find the slope from this table
Show me how please and thank you
Answer:
2
I hope this helps you...
Find the value of x using the figure to the right.
Answer:
yes it may be 3
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
WHAT IS THE BLANK The formula C = πd gives you the ______ of a circle.
3x²-x+1 is a factor of ax⁴+bx³+12x² - 6x + 1 . Then a-b equals
Answer:
a-b = 31 (a ≠ b)
Step-by-step explanation:
(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1
3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1
q-1 = -6 q = -5
3+p-q = 3+p-(-5) = 8+p = 12 p = 4
b = 3q-p = 3*(-5) - 4 = -19
a = 3p = 3*4 = 12
a-b = 12 - (-19) = 31
How many songs can you play from 6:00 to 10:00
Answer:
Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more
Step-by-step explanation:
6-10=4hrs
4 hours divided by 2:50=
4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333
In other words, you can estimate to 94.
So the answer should be around 94
If possible brainliest?
Austin's town voted on a new speed limit. 90% of the 20 votes were in favor of the new speed limit. How many votes were in favor?
Answer:
18
Step-by-step explanation:
times 20 by 0.90
20*0.90=18