A line passes through (2, −1) with slope 3. What is the equation of the line in point-slope form?
Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .
Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;
[tex]\implies m(x-x_1)=y-y_1[/tex]
Substitute ,
[tex]\implies 3(x -2) = y -(-1) [/tex]
Simplify ,
[tex]\implies 3x -6=y+1 [/tex]
Add -1 and -y to the both sides ,
[tex]\implies \boxed{3x -y -7=0 }[/tex]
5x - 9 = 3x + 3 what is x
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Then solve
x
=
6
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.
Imani family drinks a total of 8 gallons of milk every 5 weeks how many gallons does the family drink per week plz help
Answer:
1.6 gallons every week
Step-by-step explanation:
ratio of milk to weeks is 8:5
to get milk/week, divide by 5 to get:
1.6:1
which means they drink 1.6 gallons per week
Which is the correct answer for question 16 and question 17
Answer:
16=c
17=d
Step-by-step explanation:
Solve the equation. 2/3 -4c+7/2 = -9x+5/6
Answer:
The value of X is -2/3
Step-by-step explanation:
edge2021
Find the solution set of the following 1. (2x + 3)(2x – 1) = 10 2. (x + 8)^2 – 9x = 52 3. 15 + x(x + 2x) = 10 4. x(x – 4) = 32 5. 3x(x – 2) = 12x
Answer: 12x
Step-by-step explanation:
(
2
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3
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2
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8
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2
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9
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5
2
3
1
5
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(
+
2
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1
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4
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4
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2
Scarlett stopped at a campground along the Appalachian trail. The campground had a 1 2 acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent. Which expression would give you the size of Scarlett’s campsite? Check all that apply.
Answer:
A and D 1/2 divided by 6 and 6/12 divided by 6
Step-by-step explanation:
I just took the assignment
Which number is greater than 1/4
there are 100 total seats in a theater. Of these seats, 16 are broken. What percent of the seats are NOT broken?
84% of the seats in the theater are not broken.
Answer:
84%
Step-by-step explanation:
Barry opens a savings account after seeing the ad. He deposits $1,300.
Determine an equation that relates the amount of time t in years that Barry holds his account to the amount of interest I that he earns.
Enter the correct answer in the box.
The question is an illustration of simple interest.
The equation that relates Barry's savings after t years is; [tex]f(t)=1300 + 28.6t[/tex]
The given parameters are:
[tex]P = 1300[/tex] --- the amount deposited
[tex]r = 2.2\%[/tex] --- annual interest
So, the interest is calculated using:
[tex]I = PRT[/tex]
This gives
[tex]I = 1300 \times 2.2\% \times t[/tex]
[tex]I = 28.6 \times t[/tex]
[tex]I = 28.6t[/tex]
So, the equation that relates Barry's savings after t years is;
[tex]f(t)=P + I[/tex] --- i.e. the amount deposited plus the interest
This gives
[tex]f(t)=1300 + 28.6t[/tex]
Hence, the required equation is: [tex]f(t)=1300 + 28.6t[/tex]
Read more about simple interest at:
https://brainly.com/question/9352088
I'm stuck on this question for math in middle school, so I can't help
A number is 6 times another number and their sum is 28.what are the two numbers
Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
click on the file <3 please give answers please and thank you!! (:
Answer:
Step-by-step explanation:
1. 49
2. -7
3. 29/32
Write an expression representing the unknown quantity.
Sidney made $38 more than six times Casey's weekly salary. If x represents Casey's weekly salary, write an expression for Sidney's weekly salary.
PLEASE HELP AND GIVE AN EXPLANATION
Answer:
Sidney made $20 less than three times Caseys weekly salary. If x represents Caseys weekly salary, write an expression for Sidney's weekly salary.
Step-by-step explanation:
x = Caseys weekly salar
3x = three times Caseys weekly salary
'3x - 20' is the expression for Sidney's weekly salary
I hope this helps :)
Complete the table.
f(x) = x - 1
х f(x)
3
4
5
6
Submit
Answer:
[tex]f(x) = x - 1 \\ f(3) = 3 - 1 = 2 \\ f(4) = 4 - 1 = 3 \\ f(5) = 5 - 1 = 4 \\ f(6) = 6 - 1 = 5[/tex]
Answer:
See attached photograph
Step-by-step explanation:
It is a simple matter of subtracting 1 from the given x value. For example, when x=3 we need to subtract 1 away from it to find f(x); so, f(x)=2.
Side note: the term "f(x)" means "y", so when plotting this information on a graph, you will use the f(x) column as your y value.
It took a dog groomer 72 minutes to wash 2 dogs. How long will it take him to wash 9 more dogs if he continues to wash at the same pace?
1/2/-9/5 reduce and express as a simplified fraction
Answer:
um I'm not sure exactly what you wrote are you asking 1/2 divided by negative 9/5?
if so your answer will be negative 5/18
Enrique wants a skateboard that cost $68.00. The sales-tax rate in his city is 612% . What is the total cost of the skateboard?
[tex]\large \boldsymbol {100\%=1} \\\\ \boldsymbol {612\%=6,12} \\\\ \rm Total \ \ cost :\\\\ \$68=6,12\cdot 68=\boxed { \$416,16}[/tex]
The vertices of a triangle are P(7. -4), Q(-7, -8), and R(8,4). Name the vertices of the image
reflected in the y-axis.
Answer:
P' (-7, -4) , Q' (7, -8) , R' (-8, 4)
Step-by-step explanation:
Reflection in the y -axis:
The rule for a reflection over the y-axis is (x, y) → (−x, y).
P (7, -4) → P' (-7, -4)
Q (-7, -8) → Q' (7, -8)
R (8, 4) → R' (-8, 4)
The difference of the number g and 8 is at least twice the sum of a number y and 4.
Answer:
g - 8 <= 2(y+4)
Step-by-step explanation:
ill give brainliest whoever does it right pls fast
Answer:
1.Train b travels 125 miles in four hours.
2. Train A's speed is 50 mph and train b's speed is 31.25 mph
srry about the last one but i don't know what the answer is since i don't know the choices for it
Which set of numbers can represent the side lengths, in ce
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
15, 18, 20
What’s the answer
Answer:
23 cuz it's like a parten
find the non perfect square number in between 21² and 22²
Answer:
So, the non-perfect square number between 21 and 22 is 42.
Step-by-step explanation:
Maria added 45,273 and 35,687 and got a sum of 70,960 is Maria’s answer reasonable? Explain.
Answer: No
Step-by-step explanation: Tell Maria to do the problem again.
If Maria added 45,273 and 35,687 and got a sum of 70,960 : Yes, Maria's answer is reasonable.
What is sum?When we add 45,273 and 35,687 we have:
45,273 + 35,687 = 80,960
Maria's response, however, is 70,960, which is 10,000 below the accurate total. This indicates that Maria most likely added incorrectly.
The rationality of the response is demonstrated by the fact that Maria's answer is considerably less than the right answer. This 10,000-difference discrepancy is not a trivial error and suggests that an addition error most likely occurred.
Learn more about sum here:https://brainly.com/question/25734188
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Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?
$5.74
Answer:
$6.99
Step-by-step explanation:
add the number of pounds to gwet the total number of pounds
4.3+1.7=6
divide
41.94/6
$6.99 per pound
Hope this helps!
What is the rate of change for the equation y = 2x + 100?
+
The rate of change is
h
Answer:
Rate of change = 2
Step-by-step explanation:
The rate of change is equivalent to the slope of the line !
A line is written:
y=mx+b
"m" is the slope, and "b" is the y-intercept !
The line you gave was "y=2x+100"
The slope, or "m," in your equation, would be 2 !
How many solutions does it have?
6x-3y=-18
-2+4y=18
Answer:
a) 8x-6y=9 b)4y-9y=9 c)3x+6y=15 d)10x-y=23
a) 12x-9y=6 b) 6x-5y=8 c)-9x-18y=-45 d)5x-2y=-46
Step-by-step explanation
Helps plsss asap!!
Calculate the value of the angles we dealing with corresponding
Answer:
[tex]2x = 126 \\ x = 126 \div 2 = 63 \\ \\ z = y = x = 63[/tex]
Find the next two terms in the sequence 42,37,32,27
Answer:
22-17
Step-by-step explanation: the sequence is going by -5
Can someone help me do this
20 points pls help imp