Answer:
Option b. -2x + 3y - 6 = 0
Step-by-step explanation:
Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate the slope first. Slope is the Rise/Run of any two points on a straight line. Using the given points, (0,2) and (3,4) we find:
Rise = 4 - 2 = 2
Run = 3 - 0 = 3
Slope, m, Rise/Run = (2/3)
The equation becomes y = (2/3)x + b
To find b, enter either of the two given points.
y = (2/3)x + b
2 = (2/3)(0) + b : for point (0,2)
b = 2
The equation becomes: y = (2/3)x + 2
Reformat this to match the format of the answer options.
y = (2/3)x + 2
3y = 2x + 6 [Multiplied by 3]
3y - 2x - 6 = 0
-2x + 3y - 6 = 0 [rearrange]
This matches option b.
Alonzo went to a baseball game. The game started at 10:50 AM, and it was 3 hours 27 minutes long. When did the game end? PLEASE ANSWER IT I NEED IT
Answer:
The game ends at 2:17 PM.
Step-by-step explanation:
The basketball game started at 10 hours and 50 minutes and the game lasted 3 hours and 27 minutes. We can use addition to find out the time. Simply add the hours and the minutes.
10 hours + 3 hours = 13 hours
50 minutes + 27 minutes = 77 minutes = 1 hour and 17 minutes
⇒ 14 hours and 17 minutes ⇒ 2:17 PM
some one plz help me and no scam links plz and if u do i will report and just no scam links :( look at the pic for the work
Answer:
LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH
Step-by-step explanation:
4 IN, 3IN, 6IN =72 IN CUBED
6IN, 3IN, 2IN= 36 IN CUBED
4IN, 5IN, 4IN= 80 IN CUBED
2IN, 9IN, 3IN= 54 IN CUBED
The first rule is add 4 starting from 2. The second rule is subtract 4 starting from 28. What is the second ordered pair using the terms in each sequence? A (2, 28) B(6, 24) C (14, 16) D (10, 20)
The second ordered pair using the terms in each sequence is B (6, 24).
THE SEQUENCE PAIRThe first rule says to add 4 to the first term of the ordered pair, starting from 2. So the first term of the second ordered pair would be 2+4 = 6.The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.
Therefore, the second ordered pair using the terms in each sequence is B (6, 24).
The third ordered pair using the terms in each sequence would be C (14,16) and the fourth ordered pair would be D (10,20)This is because:
C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.
D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.
So the sequence list of ordered pair would be:
First order: A (2,28)
Second order: B(6,24)
Third order: C (14,16) D (10,20)
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Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2 and YT R = 5√q, where q is the number of thousands of units of output produced.
Given:
The variable cost per unit is $3, fixed costs are $2.
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
where q is the number of thousands of units of output produced.
To find:
The break - even points for company X.
Solution:
The variable cost per unit is $3, fixed costs are $2.
So, the cost function is:
Total cost = Fixed cost + Variable cost × Quantity
[tex]Y_{TC}=2+3q[/tex]
The revenue function is:
[tex]Y_{TR}=5\sqrt{q}[/tex]
At break - even points the profit is zero. It means the cost and revenue are equal.
[tex]Y_{TC}=Y_{TR}[/tex]
[tex]2+3q=5\sqrt{q}[/tex]
Squaring both sides, we get
[tex](2+3q)^2=(5\sqrt{q})^2[/tex]
[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]
[tex]4+12q+9q^2-25q=0[/tex]
[tex]4-13q+9q^2=0[/tex]
Splitting the middle term, we get
[tex]4-4q-9q+9q^2=0[/tex]
[tex]4(1-q)-9q(1+q)=0[/tex]
[tex](4-9q)(1-q)=0[/tex]
Using zero product property, we get
[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]
[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]
[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]
Therefore, the break even points are 0.444 and 1.
5) Samantha uses 14 gallons of gas for every 110 miles she drives. How
many gallons does she use if she drives 215 miles?
Round your answer to the nearest hundredth.
?
B
С
50°
7
9514 1404 393
Answer:
BC ≈ 5.87
Step-by-step explanation:
The law of sines is applicable.
a/sin(A) = 7/sin(50°)
Angle A is the complement of angle B, so we have ...
a = 7(sin(40°)/sin(50°))
a ≈ 5.8736974
The length of BC is about 5.87 units.
Please answer fast! this is my first question so I think I'm giving 10 points? I'm not sure how it works-
if the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?
Answer:
100kcal
10kcal
1kcal
Step-by-step explanation:
Each level you go up, you only get 10% of the total energy
What is the formula for directed line segment?
The formula for a directed line segment is A = (x2 - x1, y2 - y1). It is a vector equation, meaning that it describes the direction and magnitude of a line segment, rather than its endpoint coordinates.
A directed line segment is a line segment with a starting point and an ending point, where the direction of the line can be described in terms of its magnitude and direction. To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points, and then calculate the difference between the y-coordinates of the start and end points. The result is the vector A, which describes the magnitude and direction of the line segment.
For example, consider a line segment with start point (1, 2) and end point (4, 6). To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points (4 - 1 = 3). Then, calculate the difference between the y-coordinates of the start and end points (6 - 2 = 4). The result is the vector A = (3, 4). This vector describes the magnitude and direction of the line segment, with the magnitude being the length of the line segment, and the direction being the direction from the start point to the end point.
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Michelle has four white socks two black socks and two gray socks in her drawer she pulled that one sock on the drawer without looking she's not put it back then Michelle Pulls a second Sock from the drawer .what is the probability that Michelle pulls two white socks from the drawer a.3/14 b. 3/16 c. 1/16 d. 1/2
Answer:
3/14
Step-by-step explanation:
prob for the 1st sock=4/8=1/2
prob for the 2nd sock=3/7(there's 7 socks left now and only 3 were white since she pulled one out and didn't put it back)
so the prob of both being white is 1/2*3/7=3/14
What is the Pythagorean triplet of 12 and 16?
"20" is the Pythagorean triplet of 12 and 16.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
The simplest Pythagorean triple is the set “3,4,5.”
Now, substitute the values in the above equation:
=) x² = 12² + 16²
=) x² = 144 + 256
=) x² = 400
=) x = √(400)
=) x = 20.
Therefore, (12,16,20) is a Pythagorean triplet.
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Please find the perimeter of this irregular shape
Answer:
30
Step-by-step explanation:
will mark u brainliest
Answer:
( - 7, - 1, 1, 4 )
Step-by-step explanation:
( x, y )
where,
x is Domain
y is Range
Hence,
Domain is ( - 7, - 1, 1, 4 )
The rectangular floor of a classroom is 36 feet in length and 27 feet in width.A scale drawing of the floor has a length of 12 inches.What is the area, in square inches, of the floor in the scale drawing?
The area of the scale drawing is 108 square inches.
I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108
The red line on this graph is y=-2x-1
The dotted line is y=x.
Write the equation of the inverse of this function
Answer:
Step-by-step explanation:
HELP DUE IN 15 MINS!
In rhombus ABCD, m∠CDE = 50°, DB = 12 ft, and AC = 16 ft
1. m∠CEB =?? degrees
2. m∠BCE =?? degrees
3. m∠ADE =?? degrees
4. ° DE =?? degrees
5. CB =?? degrees
Answer:
1.) m∠CEB = 90 degrees => The intersection is perpendicular
2.) m∠BCE = 40 degrees => 180 - (50 + 90)
3.) m∠ADE = 50 degrees => 180 - (40 + 90)
4.) DE = 6 ft => half of DB: 12/2
5.) CB = 10 ft => Using Pythagorean Theorem, solve:
=> 8² + 6² = CB²
=> 64 + 36 = CB²
=> 100 = CB²
=> [tex]\sqrt{100}[/tex] = CB
=> 10 = CB
Hope this helps!
Answer:
Step-by-step explanation:
I'm just adding the answer to 3. Give the other answerer the Brainliest.
Given a Rhombus, The diagonals bisect the angle that the diagonal is connect to
Therefore <ADE = 50 degrees, same as <CDE.
can you find the proportion pwease :)
Answer: 15/10
Step-by-step explanation:
Answer:
15 cookies and 10 brownies
Step-by-step explanation:
WILL GIVE BRAINLIEST TO CORRECT ANSWER
What graph shows the line of best fit?
Answer:
Graph C (third one down)
Step-by-step explanation:
The line of Graph C is going through closest to the middle, taking all points into account.
Estimate number of jelly beans in 1 litre jar.
what is the answer to 4^43
Answer:
7.737
Step-by-step explanation:
Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distance in miles) 1 1.5 8 9.2 6.8 4.5 4.8 2.5 0.76 Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8 Which statement best compares the mean distances for the two groups
Mean distance for group A = 6.01 miles and for group B = 2.17 miles.
What is mean value?In statistics, the mean is the average of all data values given in a data set.
Mean is calculated by adding all the data value and then divided the sum by the total amount of data.
How to calculate the mean distance?distance in miles for Group A distance in miles for group B
11.5 2
8
2.5
9.2 3.23
6.8 1.3
4.5 1.8
4.8 2.4
2.5 3
0.76 1.5
1.8
now mean value for group A = sum of data value/ number of data value
mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8
mean distance for group A = 6.01 miles
mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9
mean distance = 2.17 miles
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5x/2 +2/3 plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Solutions given:
[tex] \frac{5x}{2} + \frac{2}{3} [/tex]
Taking L.C.M
[tex] \frac{15x + 4}{6} [/tex] is a right answer.
pls help me, i need to get my grade up as soon as I can
Answer:
106 and 93
Step-by-step explanation:
The whole thing has to add up to 360
PLS HELP I HAVE NO IDEA
Complete the remainder of the table for the given function
y=x/2 + 5
Answer:
Step-by-step explanation:
(-2,4)
(0,5)
(2,6)
(4,7)
Answer: 4, 5, 6, 7,
Step-by-step explanation: From the formula y = x / 2 + 5
substitute x with the value -2
It becomes -2 / 2 + 5
that equals 4
then do the same for the rest
when x = 0
y = 0 / 2 + 5
y = 5
when x = 2
y = 2 / 2 + 5
y = 1 + 5
y = 6
when x = 4
y = 4 / 2 + 5
y = 2 + 5
y = 7
I hope this was helpful
Find the quartiles and interquartile range of the following data. 6, 15, 8, 13, 3, 18, 0, 5, 5, 12
Answer:
Q1 - 5
Q3 - 12.75
Interquartile Range = 7.75
(i think)
Step-by-step explanation:
Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?
Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.
Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.
Are you able to provide the piecewise functions, or are you just using them as an example?
Also, in case if you want to describe the functions in words, please let me know.
Step-by-step explanation:
Write a STORY PROBLEM for the following equation: 4x+(-3)=-11
Answer:
X = - 2
John had solve the equation 4x+(-3)=-11, he said's his answer is x = 2.
Is he wrong or correct? If wrong plz show the steps on how to get the right answer.
Step-by-step explanation:
4x+(-3)= -11
-11 + 3
= -8
We got x by itself
now solve for x
4x = -8
Solution
X = -2
You need to split it in half then multply then add
Answer: 322in 2
Step-by-step explanation:
1. Cut it in half
2. 8*21=168 (first half)
3. 11*14=154 (second piece)
4. Add 168 and 154, equals to 322in 2
Has a slope of 2/3 and passes through the point (-12, 3) in y intercept form
Find what’s missing exponent.
32=2?
Answer:
1/5
Step-by-step explanation:
32^1/5 = 2
Answer:
5
Step-by-step explanation:
2x2x2x2x2 = 2⁵ = 32
Hope this helps :)
i’ll give brainliest please help
Answer:
m=4
Step-by-step explanation:
Answer:
m= 4
Step-by-step explanation:
i hope this helps :)