Answer:
y=7/4x+9/4
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(1,4) and (-3,-3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,
Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,
Now, just plug the numbers into the formula for m above, like this:
m=
[tex]\frac{-3-4}{-3-1}[/tex]
m= 7/4
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=7/4x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(1,4). When x of the line is 1, y of the line must be 4.
(-3,-3). When x of the line is -3, y of the line must be -3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.
(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(1,4) and (-3,-3)
is
y=7/4x+9/4
I need help on this quesion. (Easy)
Answer:
the answer is C
Step-by-step explanation:
just divide 42.75 by 9
20 POINTS! What is the ANSWER?
Answer: The first one
Step-by-step explanation:
Answer:
Sin(33°) = x\14
Step-by-step explanation:
coz sin = p\hIn ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.
Answer:
m∠R = 69
Step-by-step explanation:
m∠R + m∠S + m∠T = 180 {Angle sum property of triangle}
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x - 11 - 3 + 18 = 180 {Combine like terms}
11x +4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
m∠R = 5x - 11
= 5*16 - 11
= 80 - 11
m∠R = 69
The yield of corn in bushels per acre and the amount of rain in the growing season.
Identify the explanatory variable and the response variable, if possible.
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
2. Bushels per acre is the explanatory variable and amount of rain is the response variable.
3. Yield of corn is the explanatory variable and amount of rain is the response variable.
4. Amount of rain is the explanatory variable and bushels per acre is the response variable.
5. Rain is the explanatory variable and corn is the response variable.
Answer:
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
Step-by-step explanation:
Explanatory Variable is the causal variable, which effects the other variable.
Response Variable is the resultant variable, which is effected by the other variable.
In this case, amount of rain effects the yield of corn (bushels per acre).
So, Amount of rain being causal effecting variable - is Explanatory Variable. Corn yield, being resultantly effected variable - is Response Variable.
Write the sentence as an inequality.
One-half of a number y is more than 22.
The inequality is
Answer:
1/2y > 22
Step-by-step explanation:
This can also be written as
y/2 > 22
and
0.5y >22
Hope this helps!
Albie's total income is $695.25 in a week
where his sales are $2870. If he earns a
commission of 7.5% of his sales, what is
his retainer? can you tell me how to work it out aswell please
Answer:
Step-by-step explanation:
7.5/100= .075
$580000 x .075 = $43,500 commission
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,5) and (7,9).
Answer:
say where we meet ❤️
Pls help i can’t figure this out
Step-by-step explanation:
1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.
ite a number of your choice, using the followi a two digit number greater than 40 divisible by both 2 and 3
Answer:
60
Step-by-step explanation:
60 ÷ 2 = 30
60 ÷ 3 = 20
Have a nice day :)
not trying to do my work right help
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
mx = pn , for x
Someone pleaseeeee help
Answer:
x=pn/m
Step-by-step explanation:
Divide both sides by m to isolate x from the other variables.
mx/m = pn/m
cancel out the m where possible.
x = pn/m
What is the slope of the line through (-7,-8)(−7,−8)
Answer:
the slope would be 0
Step-by-step explanation:
this is because those are the same 2 points
how to solve 2x^2-11x+12=0
Answer:
x= 3/2 and 4
Step-by-step explanation:
Use this method to solve;
First get the multiples of 12: -1, -12 -2, -6 -3, -4 (we use negatives, because we need a positive 12, and a negative 11).
Next, set it up like this: (2x - ) (x- ).
Then plug in (2x-3) and (x -4), and use rainbow to double check.
Then take 2x-3=0 and x -4 =0 to get x.
2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.
Then do the same with x-4=0, add 4 to both sides leaving x= 4.
Answers are x= 3/2 and 4.
What is the value of a?
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
EASY QUICK POINTS
Read the list of properties below.
Two sets of parallel sides
Opposite angles that are congruent
Opposite sides that are congruent
Angles that do not measure 90°
Which polygon would have all of these properties?
rectangle
rhombus
square
trapezoid
the answer is rhombus...
Answer:
rhombus
Step-by-step explanation:
6. A farmer sows a certain crop. It costs $240,000 to buy the seed, prepare the ground, and sow the crop. In one year's time it will cost $93,200 to harvest the crop. If the crop will be worth $350,000, and the interest rate is 7%, what is the net present value (NPV) of this investment?
Answer:
$0
Step-by-step explanation:
Given that:
Preparation and sowing cost = $240,000
Cost of harvest after a year = $93,200
Worth of crop = $350,000
Interest rate (r) = 7% = 0.07
Net present value of Investment :
[(worth - Cost after 1 year) / (1 + r)] - initial investment cost
[(350,000 - 93,200) ÷ (1 + 0.07)] - 240,000
[256,800 / 1.07] - 240,000
$240,000 - $240,000
= $0
Helpppppp plzzz nowwww
Answer: side AB is 5.7 units
Step-by-step explanation:
If you look at the congruence marks on the angles, you can see that side AB and side KL correspond. Since we know KL is 5.7, AB must be 5.7 as well. :)
SHOW YOUR WORK
43.01-2.75
Answer:
the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown
Step-by-step explanation:
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars
Step-by-step explanation:
400*0.85
which is 340
340 cars.
Hope this helps plz hit the crown :D
Help me solve this problem please
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
I dont have an explanation, sorry
How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48
Answer:
x^(3)+5x^(2)-8x-48=0
Need help asap please!
Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
Una persona ahora en el banco 1000 pesos, el cual le ofrece un interés fijo de 3%. La función que relaciona el dinero ahorrado que recibirá después de x meses de ahorro
Answer:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Step-by-step explanation:
Dada la siguiente información:
Principal= $1,000
Tasa de interes= 3% anual = (0.03/12)= 0.0025 mensual
Número de periodos= x
Para calcular el interés ganado, hay que usa la formula siguiente:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Por ejemplo, para 6 meses:
Interes= [1,000*(1.0025^6)] - 1,000
Interes= $15.09
Please help with the question below. I will give brainiest.
Answer:
a. y= -1221x+19820
b. For every year the car value decreases $1,221.
c. $11,273
Step-by-step explanation:
a. (y2-y1)/ (x2-x1)
(16157-17378)/(3-2)= -1221
For the y-intercept you would just add 1221 twice to the value of the 2 year old car, get the value of 0 years.
c. -1221(7) +19820 =$11,273
A dog walker earns $10 plus $3 per dog. What equation represents this model?
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation would be 14+19+x=51, and the 3rd quiz score would be 18.
Step-by-step explanation:
To get to the average, you have to add all the quiz scores and divide by the number of quizzes. If you work backwards, you can multiply the average by the number of quiz scores, which is 51. Then you subtract the known test scores, and you get your answer.
Please help I'll give brainliest to right answer
20m + 6m − 17m = 9
What does "M" equal?
Answer:
m is 1
Step-by-step explanation:
ez mathzzzzzzzzzzz
Divide. Simplify so the quotient is in lowest terms.
1: 1/2 divided by 4
2: 1 3/4 divided by 1/8
please help me lol
1. 1/2 divided by 4 = 1/8 or 8.
2. 1 3/4 divided by 1/8 = 7/32.
plz help :(
1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation?
2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.
What equation could describe the situation?
How would the equation change if a child’s ticket cost $10?
How would the original equation change if the total price spent on the tickets were $156?
Answer:
1. 60=12y
60=5*12 y=5
2. a) 96=16x+12y
b) the 12y would be changed to 10y so, 96=16x+10y
c) 156=16x+12y the number of tickets will change if the total price goes up
Step-by-step explanation:
x= adult tickets
y=child tickets
im not sure but i think is bAnswer:
Step-by-step explanation:
b
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