y=-3x+9
explanation
m=-3 (X1,Y1) = (4,-3)
(y-y1)= m×(x-x1)
(y-(-3))=-3(x-4)
y+3= -3x+12
y=-3x+12-3
y=-3x+9
Write a linear equation in standard form for the line that goes through (2, -3)
and (4, -2).
A. X + 2y = -4
B. y - 3 = {(x - 2
C. x - 2y = 8
D. X+ 4y = 12
9514 1404 393
Answer:
C. x -2y = 8
Step-by-step explanation:
One way you can do this is to use the form ...
(Δy)(x -x1) -(Δx)(y -y1) = 0
where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1
This gives ...
(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in
x -2y -8 = 0 . . . . . . . general form
x -2y = 8 . . . . . . . . . standard form
_____
Additional comment
You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.
Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.
The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:
[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.
x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75
Required:
Create a scatterplot of the data.
Answer:
Ŷ = 1.3082X + 3.3436
Step-by-step explanation:
Given the data :
X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9
Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75
Using technology, the data above gave the resulting linear regression model :
Ŷ = 1.3082X + 3.3436
Slope of model = 1.3082
Intercept = 3.3436
Scatter plot is attached below :
school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?
You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip
Answer: [tex]\$\ 204.4[/tex]
Step-by-step explanation:
Given
The total length of the trip is [tex]l=1940\ \text{miles}[/tex]
Car average is 28 miles per gallon
So, car requires
[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]
Price of gas is $2.95 per gallons
[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]
So, the cost of the trip is [tex]\$\ 204.4[/tex]
A sled is moving down a steep hill in a straight line. At time ts, the
acceleration of the sled is ams-2 where a = 1/500(20t^2-t^3), 0 < t < 20. When t = 0
the sled is at rest at the top of the hill. Find the distance the sled travels in
the first 10 s of its motion.
Acceleration is the rate of change of velocity over time
The sled travels 100 meters in the first 10 seconds of its motion
How to determine the distanceThe acceleration function is given as:
[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]
When t = 10, we have:
[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]
[tex]a = 2[/tex]
The distance at 10 seconds is then calculated as;
[tex]S = ut +\frac 12 at^2[/tex]
Where:
u = initial velocity = 0
So, we have:
[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]
[tex]S =100[/tex]
Hence, the sled travels 100 meters in the first 10 seconds of its motion
Read more about acceleration at:
https://brainly.com/question/605631
The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401
Answer: L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
Step-by-step explanation:
what is the answer?i need it bc im stuck
Answer:
steam iron = 41.25
t-shirts = 17.82
paintbrushes = 13.94
bags of pasta = 3.52
total = 76.53
Answer:
1. 17.82 2. 13.94 3. 3.52 4. 35.28
Step-by-step explanation:
Hope thishelps :)
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
2
Step-by-step explanation:
Given the nth term equation:
C(n) = - 6(-1/3)^(n-1)
The 2nd term :
C(2) = - 6(-1/3)^(2-1)
C(2) = - 6(-1/3)^1
C(2) = - 6(-1/3)
C(2) = - 6 * - 1/3
C(2) = 2
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Answer:
B.
Step-by-step explanation:
The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.
Answer:
Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options
Step-by-step explanation:
Which function is an even function?
f is an even function if f(-x) = f(x)
f is an odd function, if f(-x) = -f(x)
[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]
Option B is an odd function
please can anybody help me?
Answer:
A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
Which function, g or h, is the inverse function for function ƒ?
Answer:
B.
Step-by-step explanation:
Remember that graphically, a function and its inverse are reflections over the line y = x.
Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.
Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.
Hence, our answer is B.
Answer:
The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"
Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68
9514 1404 393
Answer:
(b) $1,393.88
Step-by-step explanation:
For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...
47.75 hours + (7.75 hours)/2 = 51.625 hours
That pay is ...
(51.625 h)($27/h) = $1393.88
look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu
Answer:
B
Step-by-step explanation:
Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.
A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways
Answer:
Option c
Step-by-step explanation:
From the question we are told that:
Four accounting majors [tex]N_a=4[/tex]
Two economics majors [tex]N_e=2[/tex]
Three marketing majors [tex]N_m=3[/tex]
Total Applicants N_T=9
Generally the equation for Different ways that five of these could be hired is mathematically given by
[tex]X_5=^9P_5[/tex]
[tex]X_5=\frac{9!}{(9-5)!}[/tex]
[tex]X_5=15120[/tex]
Generally the equation for Different ways that Three of these could be hired is mathematically given by
[tex]X_3=^9P_3[/tex]
[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]
[tex]X_3=504 ways[/tex]
Option c
answer plz. dont put random response bc i will do the same
Answer:
m∠ABC = 53°
Step-by-step explanation:
m∠ABC + m∠CBD = m∠ABD
m∠ABC + 37° = 90°
m∠ABC = 53°
Answer:
53º
Step-by-step explanation:
abc = 90 - 37
abc = 53º
WDYM BY SUBSTITUTION when u get the two proportions, u say "substitute" im giving 100
Answer:
substitute means to use or add in place of something.
Step-by-step explanation:
Example: Substitute 1 for x: therefore x now is equal to 1.
pahelp po pls.... BRAINLIEST KO PO ANG TAMANG SAGOT PLSS:((
Answer:
i can not understand your language please type in english
simplify 2p/3 ×5p/12
Answer:
After simplify answer will be :[tex]\frac{5p}{18}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]
Now,
[tex]\frac{10p}{36}[/tex]
Final answer would be :
[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]
i will mark brainliest please help me on this question!
Answer:
C
Step-by-step explanation:
You can determine this by the third and fourth quartiles.
Answer:
C
Step-by-step explanation:
1,4,4,9,10,10,14
We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers
1,4,4, 9, 10,10,14
The middle number is the 4th number, which is 9 so it is the middle number of the box
Taking the numbers on the left
1,4,4
The middle number is 4 so it is the left hand side of the box
Taking the numbers on the right
10,10,14
10 is the middle number so it is the right hand side of the box
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
The length of a rectangle is four times the width. If the area of the rectangle is 36
square inches, then find the length and width.
Answer:
36÷12=3
12×3=36
Length is 12
Width is 3
HELP PLEASE Which expressions are equivalent to 2(3/4x+7) -3(1/2x + -5)? Check all that apply.
Answer:
2., 3., 5.
Step-by-step explanation:
when we do the multiplications we see
2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29
as 3x/2 and -3x/2 reduce themselves in a sum to 0.
this gives answer option 2.
the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.
the only correct ones (correctly maintaining our converting the signs) are 3 and 5.
option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.
and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
A fruit punch that contains 10% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 51oz of a mixture that is 70% fruit juice?
9514 1404 393
Answer:
34 oz 100%17 oz 10%Step-by-step explanation:
Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...
1.00j + 0.10(51 -j) = 0.70(51)
0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)
j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j
The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.
Suppose a normal distribution has a mean or 70 and a standard deviation of 7. What is P(x>=94)? O A. 0.075 O 8. 0.025 c. 0.84 OD 0,16
Answer:
0.025
Step-by-step explanation:
Mean = 79 ; Standard deviation = 7
P(x ≥ 93)
We obtain the ZSCORE :
Zscore = (x - mean) / standard deviation
x = 93
Zscore = (93 - 79) / 7 = 2
P(Z ≥ 2) = 0.02275
Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:
Answer:
good for them i think
Step-by-step explanation:
this doesnt make any sense
Jonas runs a pet store that sells guinea pigs. He wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store. He currently has 8 pounds of dry food and wants to know how many guinea pigs can he have in the store. Write and solve an inequality to solve this problem. What is the solution to the inequality?
Answer:
He can have 40 guinea pigs in the store.
Step-by-step explanation:
Since Jonas runs a pet store that sells guinea pigs, and he wants to ensure he has more than 1 pound of dry food for every five guinea pigs he has in the store, and he currently has 8 pounds of dry food, to know how many guinea pigs can he have in the store, the following equation must be performed:
1 = 5
8 = X
8 x 5 = X
40 = X
Therefore, he can have 40 guinea pigs in the store.
Answer:
x less-than-or-equal-to 40
Step-by-step explanation: