An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
Answers
Answer:
Graph G
Step-by-step explanation:
The graphs are attached
Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour
Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong
The slope (rate of change) of a line (m) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:
[tex]Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second[/tex]
b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:
[tex]Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second[/tex]
c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:
[tex]Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second[/tex]
d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:
[tex]Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second[/tex]
Answer:The answer is H , It is the graph where -10 is right below the 0 on the y.
Related Questions
HELP. How many solutions does this graph indicate for the system of conic
sections?
Answers
Answer:
2
Step-by-step explanation:
there are two points where it touches
Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
Answers
Answer:
f(x) = 3x + 8 is the required linear function.
Step-by-step explanation:
We know that the slope-intercept form of linear equation is
y = mx+b
here
m is the slope of the line, and b is the y-interceptGiven initial value
f(0) = 8
Meaning at x = 0, y = 8Thus, the y-intercept = b = 8
Also given
at x = 4, f(4) = 20
Meaning at x=4, y = 20so
substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope
y = mx+b
20 = m(4) + 8
20 = 4m + 8
4m = 20-8
4m = 12
Dividing both sides by 4
m = 3
Thus, the slope = m = 3
Now, substituting m = 3 and b = 8 in the slope-intercept of linear function
y = mx+b
y = 3x + 8
or
f(x) = 3x + 8
Thus,
f(x) = 3x + 8 is the required linear function.
VERIFICATION:
Given the linear function
f(x) = 3x + 8
plug in x = 0
f(0) = 3(0) + 8
f(0) = 8
plug in x = 4
f(x) = 3x + 8
f(4) = 3(4) + 8
f(4) = 12+8
f(4) = 20
What is a fraction equivalent to -6/1
Answers
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
explanation:
5. What's the sum of 3/8 and 1/16
Answers
Answer:
7/16
Step-by-step explanation:
3/8=6/16
6/16 + 1/16 = 7/16
Which of the following is the midpoint of the segment with endpoints (9,4) and (-3, 2)
Answers
Answer:
The midpoint is (3,3)
Step-by-step explanation:
-2 = g - 9 what does G equal??
Answers
Express as a percentage.
10
Answers
Answer:
10% is ur answer
Step-by-step explanation:
Andre works as a waiter at a restaurant, where he earns $6 an hour plus tips. After 5 hours of work he has earned $60.20. Write the equation to represents his total earnings for his hours worked.
Answers
Answer:
Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.
Math question help please
Answers
Answer: The answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
gallons of gas
in the second week, Micah bought
gallons of gas
Answers
Answer:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Compare 24 greater than, less than, or equal to 4.256.
Answers
Answer:
Greater than 4.256
Step-by-step explanation:
Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4
Please help !!!!!!!!!
Answers
Answer:
A= 41° a=9.84... b=11.32...
Step-by-step explanation:
given B = 49° and C = 90°
and A + B + C = 180
so 49+90+A=180
A= 41°
we also know c (small) is 15 units
and maybe you know this SOH CAH TOA? no, i'm not calling anyone names :P this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.
use Cos(49) to find the side a
a is an adjacent side to the 49 angle. We know the Cos and we know the Hyp .. so solve for adj...
Cos(Ф)=Adj/ Hyp
Hyp*Cos(Ф)=Adj
15*Cos(49)= Adj
9.84...=Adj=a
now lets' use sin for the opposite side or b
sin(Ф)=Opp/Hyp
Hyp*Sin(Ф) = Opp
15*sin(49)= Opp
11.32...= Opp =b
Given h (x) = 5 x + 1, find h(2)
Answers
Answer:
h(2) = 5.2 + 1 = 10 + 1 = 11
Plz tell me the answer
Answers
Answer:
first is correct
second should be
4a² + 5a
Fill in the box with x + - Nd divide
Answers
Answer:
[tex]3 \boxed{ + }12 \boxed{ \div }4 = 3 + \frac{12}{4} = 3 + 3 = 6[/tex]
hope this helps.
What is the solution of....
Answers
[tex]\huge \mathscr{\blue {\underline {\red{\underline{Answer :-}}}}} [/tex]
[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]
[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]
[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]
[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]
[tex] \bf \implies \: 7x = 21 \times 4[/tex]
[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]
[tex] \bf \implies \: x = 3 \times 4[/tex]
[tex] \bf \implies \: x = 12[/tex]
ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ
[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]
D. (-2, 0)
can you plz help
more than one answer
Answers
Pls help 10 points. ac+b=
A=3
B=5
C=1
Answers
Answer:
The answer should be 3×1+5=8
Step-by-step explanation:
prove me wrong
Answer:
8
Step-by-step explanation:
AC means 3 times 1 which is 3. B equals to 5. 3 plus 5 equals to 8.
A school buys games for 6 classrooms. It buys 3 board games, 4 puzzles, and 1 video for each classroom. How many games dose the school buy?
Answers
Answer:
42
Step-by-step explanation:
4+3=7
7x6 = 42
What is the slope of the line that passes through the points (−3,−3) and (−9,5)?
Answers
true or false The angle of depression is the angle formed above the horizontal line
Answers
Answer:
False
Step-by-step explanation:
Trust me
False statement the angle of depression is the angle formed is not above the horizontal line.
What is the angle of depression?The angle of depression is defined as the angle obtained by any object below the horizontal line which is used as the reference line.
Here in the question, they are asking The angle of depression is the angle formed above the horizontal line this statement is true or false.
If you will follow the above definition of the angle of depression you will see that the given statement is false.
To know more about the angle of depression follow
https://brainly.com/question/10217662
#SPJ2
How many roots are there for the polynomial that factors into
f(x) = (x^2-1)(x+2)(x-1)^2?
Answers
Answer:
3 roots
tho using the fundamental theorem of algebra there should be more, if you use Desmos,there are 5
Step-by-step explanation:
108.9 divided by 19.8=
WILL GIVE BRAINLIST
Answers
Hello guys, plz help me with this question ASAP! Its about exponential function. Plz answer if you know the answer, THANK YOU SO MUCH ☺️
Answers
Answer:
4.5%
Step-by-step explanation:
Equation that models this:
M(t) = 1000 * (1 + INTEREST)^t
Plugging in t= 10 years, gives
1553 = 1000 (1+interest)^10
solving for interest gives: 0.045 which is 4.5%
HELP PLEASEEE whoever answers most questions (aka 4) gets brainliest
Answers
Answer:
1.A
2.D
3.C
4.C
Step-by-step explanation:
Solve the equation 3x^2
10x + 5 = 0 to the nearest tenth.
Answers
$5 is what percent of $5?
Answers
Answer:
$5 is 100% of $5.
Answer:
$5 is 100% of $5
Step-by-step explanation:
Putting this into fraction format, it would be 5/5 = 1 . if that fraction turned out to be less than 1, whatever the number was that would be the percent. But this came out as 1 therefore saying that $5 is 100% of $5
look at previous questions for context
Answers
Answer:
y = 1/2x - 6
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
Mathematically we can write the equation of a line as;
y = mx + b
where m is slope and b is the y-intercept
We start by getting the slope
m = (y2-y1)/(x2-x1)
m = (-1+5)/(10-2) = 4/8 = 1/2
So we have the equation partially as;
y = 1/2x + b
to get c, we use any of the two points and substitute the individual x and y values
-1 = 1/2(10) + b
-1 = 5 + b
b = -1-5 = -6
so the equation is;
y = 1/2x - 6
At a sale, hats were sold for $15 each. This price was 60% of theiir original price. What was the original price?
Answers
Answer:
6$
Step-by-step explanation:
6$ I'm probably looking at this wrong, but it does estimates towards 6. If I'm right then, with the 60% They boost the hats price by 60% (ofc).
if that was the question. the the answer must be 6$. I think, I calculated discount, welp,
I really need help with this question asap!
Answers
Answer:
the answer is C
Step-by-step explanation: