Which of the following equations correctly describes the graphed line?
y = -1/2x - 5
y = -1/2x + 5
y = 1/2x + 5
y = 1/2x - 5
Answers
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
(x₁, y₁) = (4, 7) (x₂, y₂) = (-4, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
Related Questions
Use greater than or less than for the following problem 5 2/3 + 3 3/4 _______8 2/3
Answers
9514 1404 393
Answer:
>
Step-by-step explanation:
We know that 5 + 3 = 8, so 5 2/3 +3 = 8 2/3.
This problem has you adding 3 3/4, not 3, so the sum will clearly be "greater than" 8 2/3.
5 2/3 + 3 3/4 > 8 2/3
Convert 46ft to yard and ft
Answers
Answer:
46 ft to yd conversion. A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.
...
Convert 46 Feet to Yards.
ft yd
46.00 15.333
46.01 15.337
46.02 15.34
46.03 15.343
ft yd
46.00 15.333
46.01 15.337
46.02 15.34
46.03 15.343
46.04 15.347
46.05 15.35
46.06 15.353
46.07 15.357
46.08 15.36
46.09 15.363
46.10 15.367
46.11 15.37
46.12 15.373
46.13 15.377
46.14 15.38
46.15 15.383
46.16 15.387
46.17 15.39
46.18 15.393
46.19 15.397
46.20 15.4
46.21 15.403
46.22 15.407
46.23 15.41
46.24 15.413
ft yd
46.25 15.417
46.26 15.42
46.27 15.423
46.28 15.427
46.29 15.43
46.30 15.433
46.31 15.437
46.32 15.44
46.33 15.443
46.34 15.447
46.35 15.45
46.36 15.453
46.37 15.457
46.38 15.46
46.39 15.463
46.40 15.467
46.41 15.47
46.42 15.473
46.43 15.477
46.44 15.48
46.45 15.483
46.46 15.487
46.47 15.49
46.48 15.493
46.49 15.497
ft yd
46.50 15.5
46.51 15.503
46.52 15.507
46.53 15.51
46.54 15.513
46.55 15.517
46.56 15.52
46.57 15.523
46.58 15.527
46.59 15.53
46.60 15.533
46.61 15.537
46.62 15.54
46.63 15.543
46.64 15.547
46.65 15.55
46.66 15.553
46.67 15.557
46.68 15.56
46.69 15.563
46.70 15.567
46.71 15.57
46.72 15.573
46.73 15.577
46.74 15.58
ft yd
46.75 15.583
46.76 15.587
46.77 15.59
46.78 15.593
46.79 15.597
46.80 15.6
46.81 15.603
46.82 15.607
46.83 15.61
46.84 15.613
46.85 15.617
46.86 15.62
46.87 15.623
46.88 15.627
46.89 15.63
46.90 15.633
46.91 15.637
46.92 15.64
46.93 15.643
46.94 15.647
46.95 15.65
46.96 15.653
46.97 15.657
46.98 15.66
46.99 15.663
Step-by-step explanation:
Hope this helps <3
10. Put the numbers into least to greatest order: -33/5, 3 1/3, 3.3, -3.5
Answers
Answer:
Answer:
Order from Least to Greatest
-33/5 < -3.5 < 3.3 < 3 1/3
Step-by-step explanation:
which number is composite? (9,5,11,2)
Answers
Answer: 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3 x 3 = 9 :)
Your challenge is to create a cylindrical can that minimizes the cost of materials but must hold 100 cubic inches. The top and bottom of the can cost $0.014 per square inch, while the sides cost only $0.007 per square inch. Show how you did it too?
Answers
Answer:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
[tex]Cost = \$1.05[/tex]
Step-by-step explanation:
Given
[tex]Volume = 100in^3[/tex]
[tex]Cost =\$0.014[/tex] -- Top and Bottom
[tex]Cost =\$0.007[/tex] --- Sides
Required
What dimension of the cylinder minimizes the cost
The volume (V) of a cylinder is:
[tex]V = \pi r^2h[/tex]
Substitute 100 for V
[tex]100 = \pi r^2h[/tex]
Make h the subject
[tex]h = \frac{100 }{\pi r^2}[/tex]
The surface area (A) of a cylinder is:
[tex]A = 2\pi r^2 + 2\pi rh[/tex]
Where
[tex]Top\ and\ bottom = 2\pi r^2[/tex]
[tex]Sides = 2\pi rh[/tex]
So, the cost of the surface area is:
[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]
[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]
[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]
Open bracket
[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]
[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]
To minimize, we differentiate C w.r.t r and set the result to 0
[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Set to 0
[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Collect Like Terms
[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]
Cross Multiply
[tex]0.056\pi r *r^2= 1.4[/tex]
[tex]0.056\pi r^3= 1.4[/tex]
Make [tex]r^3[/tex] the subject
[tex]r^3= \frac{1.4}{0.056\pi }[/tex]
[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]
[tex]r^3= \frac{1.4}{0.17584}[/tex]
[tex]r^3= 7.96178343949[/tex]
Take cube roots of both sides
[tex]r= \sqrt[3]{7.96178343949}[/tex]
[tex]r= 1.997[/tex]
Recall that:
[tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]
[tex]h = \frac{100 }{12.52}[/tex]
[tex]h = 7.987[/tex]
Hence, the dimensions that minimizes the cost are:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
To calculate the cost, we have:
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]
[tex]Cost = \$1.05[/tex]
3
Simplify the expression below:
20 – 10y – 7y + 9
Answers
Answer:
y = 1.705882353
Step-by-step explanation:Combine like terms: 20 + 9 = 29
29 + -10y + -7y = 0
Combine like terms: -10y + -7y = -17y
29 + -17y = 0
Solving
29 + -17y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29' to each side of the equation.
29 + -29 + -17y = 0 + -29
Combine like terms: 29 + -29 = 0
0 + -17y = 0 + -29
-17y = 0 + -29
Combine like terms: 0 + -29 = -29
-17y = -29
Divide each side by '-17'.
y = 1.705882353
Simplifying
y = 1.705882353
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answers
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
Find all complex solutions of 7x^2-7x+3=0
Answers
Answer:
The complex solutions are
[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]
Step-by-step explanation:
Step(i):-
Given equation 7 x² - 7 x +3=0
[tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]
Given standard equation
a x² +b x +c =0
a = 7 , b= -7 and c=3
Step(ii):-
[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]
[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]
[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]
the amount a basketball coach spends at a sporting good store depends on the number of basketballs the coach buys. the situation is represented by the function rule a = 14b
Answers
Answer: 0,16,32,48,64
Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16
write a function to match the function machine
Multiply the input by -3, then
subtract 2
Answers
Answer:
The required function is:
f(x) = 3x - 2Please check the attached graph.
Step-by-step explanation:
We need to write a function to match the function machine multiply the input by -3, then subtract 2.
Let 'x' be the input.
Multiply the input by 3 is: 3xSubtract 2: 3x - 2Therefore, multiply the input by -3, then subtracting 2 would give us the result:
f(x) = 3x - 2
Therefore, the required function is:
f(x) = 3x - 2Please check the attached graph.
1 point
1. Find the volume of the following cylinder (refer to your notebook/ notes
for volume formulas): *
10 in.
3 in.
O 90 pi
O 10 pi
O 60 pi
O 30 pi
Answers
Answer:its the first one
Step-by-step explanation:
ANSWER ASAP:
What is the solution set for this inequality: 55 > 7m + 6
Answers
Answer:
m<7
Step-by-step explanation:
Answer:
m<7
Step-by-step explanation:
Which statements are true regarding the two figures ? Select three options.
The order of rotational symmetry for the seven- pointed star is 7
The order of rotational symmetry for the five-pointed star is 3
The smallest angle of rotational symmetry for the seven - pointed star rounded to the nearest tenth is 51.4
The smallest angle of rotational symmetry for the five pointed star is 72 degrees
The five-pointed star has a smaller angle of rotational symmetry than the seven-pointed star .
Answers
Answer:
im pretty sure 1 and 5 are correct i dont know the 3rd one though
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Quadrilateral ABCD was translated 4 units to the left and 2 units down to create Quadrilateral A'B'C'D', Which rule describes this transformation?
(xy) -> (x + 4. y + 2)
(x,y) -> (x - 4. y - 2)
(x,y) -> (x - 4y + 2)
(x,y) --> (x - 2. y + 4)
Answers
Answer:
(x,y) -> (x - 4. y - 2)
Let p: A number is greater than 25.
Let q: A number is less than 35.
If p1 is true, then what could the number be? Select two options.
24
28
32
36
40
Answers
Answer:
28 and 32 or B And C
Step-by-step explanation:
Is a credit of $55 negative or positive ?
Answers
Answer:
positive
Step-by-step explanation:
Answer:
Answer: Positive
Step-by-step explanation:
find the value of x in the equation below.
x+1=6
Answers
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution
I need help with this geometry question
Answers
JK=16
MK=46
NL=15
nature of roots the determining 2x²-13x+15=0
Answers
Answer:
Step-by-step explanation:
discriminant = (-13)² - 4·2·15 = 49
discriminant > 0 so there are two real roots
Find the square of -7
Answers
Answer:
7 = 49.....
Step-by-step explanation:
7 * 7. = 49
ok....
thanks
= -7 * -7
= 7 * 7
= 49
15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer
Answers
Answer:
0.1 (153+10h)
Step-by-step explanation:
factor out 0.1 of 15.3 +10h
Answer:
15.3+1h=1.3−1h
15.3-1.3=-1h-1h
14=-2h
h=14/-2=-7
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answers
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Find the area of the following shape:
Answers
Have a good day:)
=1/2 * 14 * 11
= 7 * 11
= 77 in
Therefore area equal 77 in
Jackson has up to 7 1/2 hour to spend at an amusement park he will spend 1 1/2 of those hours at the water park He will spend x hours at each of the 3 other sections in the amusement park.
Select the inequality that can be solved to determine the number of hours Jackson can spend in each one of the other sections.
A. 1 1/2 + 3 ≤ 7 1/2
B. 3X + 1 1/2 ≥ 7 1/2
C, 1 1/2x + 3 ≥ 7 1/2
D. 3x + 1 1/2 ≤ 7 1/2
Plz right answer
Answers
Answer:
D
Step-by-step explanation:
Since Jackson has 7 1/2 hours to spend at the amusement park, he has already spent 1 1/2 of those hours at the water park (We will need this shortly). Since he has 6 hours remaining and 3 parks to go, he can't spend more than 7 1/2 hours at the park. This means that the answer will have to be less than or equal to. Finally, it would be D because he can spend any amount of time at the other 3 parks (x) plus the 1 12 hours he already spent.
William spent $132.75 on books, including the shipping fee , that he orderd from an online company. each book cost $4.75. how many books did william buy.
A.33 B.32 C.15 D.34
Answers
Answer:
easy...
132.75total cost
4.75 for each book
Step-by-step explanation:
not a) it would be far to large
not b) again to large
maybe c) not to big but still small
not d) to big yet again
id assume c? im not to smart tho
A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty
Answers
Answer:
0.475
Step-by-step explanation:
Given that :
We are to calculate the true positive :
True POSITIVE (TP) = 70% = 0.7
False POSITIVE (CP = 30% = 0.3
True Negative = 30% = 0.3
Number arrested = 4
(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)
= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)
= 0.175 / (0.175 + 0.225)
= 0.175 / 0.4
= 0.475
Need help ASAP
Will make you brainlist
Answers
Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3 is the slope (the change in between points)
-3 is the y intercept (the point on the y-axis)
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answers
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
Did I do this correctly? if not pls help me
Answers
Answer:
You did but you forgot to turn it back into a whole number! Your final answer would be 1 and 1/3 Step-by-step explanation: 15 goes into 20 once which gives you the 1. You are then left with 5/15 which can be simplified into 1/3. 1 and 1/3
During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?
Answers
Answer:
11.725%
Step-by-step explanation:
Given that :
True value = 0.904 seconds
Measured time = 1.010 seconds
Experimental error :
(|measured value - True value | / true value) * 100%
(|1.010 - 0.904| ÷ 0.904) * 100%
= 0.106 / 0.904 * 100%
= 0.1172566 * 100%
= 11.725%
Answer:
11.725%
Step-by-step explanation: