Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
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YALL SOMETHING IS WRONG WITH MY ACCOUNT :( I WAS AN EXPERT AND HAD TONS OF POINTS AND NOW THEY ARE ALL GONE WHAT IS HAPPENING IM LITERALLY SO UPSET
Try contacting Brainl in customer support-
If not exit out to see if its just a glitch if ur brainly account points really are gone u mustve been 1 reported 2 bandded or it just restarted or 3 hacker check all ur recent questions and see if their the ones ur asked
5x + 5 (3) = 55
What is the answer to this equation. I'm on a account of my cousin's. I'm in 6th grade.
Answer:
x = 8 :)
Step-by-step explanation:
5x + 5(3) = 55
5x + 15 = 55
5x = 40
40/5 = 8x = 8
Answer:
8
Step-by-step explanation:
Step 1:
5x + 5 ( 3 ) = 55 Equation
Step 2:
5x + 15 = 55 Multiply
Step 3:
5x = 40 Subtract 15 on both sides
Step 4:
x = 40 ÷ 5 Divide
Answer:
x = 8
Hope This Helps :)
A pound of chocolate cost six dollars . Donna buys P pound. Write an equation to represent the total cost c that Donna pays 
Answer:
c = 6P
Step-by-step explanation:
equation format: c = mP
c = the total cost Donna pays
m = the cost per pound of chocolate(6)
P = the amount of pounds Donna buys
Since we know the cost per pound is $6, we can input it into the equation format:
c = 6P
Now we have an equation that represents the total cost (c) that Donna pays for P pounds.
Let C = total cost that Donna pays.
Donna buys P pound at $6 per pound tells me to multiply.
C = 6P.
Understand?
complete the table below showing the cost and number of tickets
Answer:
Step-by-step explanation:
The cost of 3 tickets is 6 dollars. divide 6 by 3 to get the cost of one ticket, which would be two dollars a ticket. with this in mind we'll complete the table
6 12 14 18 20
3 6 7 9 10
Given the function f(x) = 2x − 1 and the linear function g(x), which function has a greater value when x = 3?
graph of line g of x equals 4 times x minus 5
Answer:
The function g(x) has a greater value when x = 3. The function g(x) will be 7 when x = 3 while the function f(x) is will be 5
Step-by-step explanation:
For the function f(x), when x = 3, you get the equation f(x) = 2(3) - 1. Two times three equals six, so the equation can be simplified to f(x) = 6 - 1. Six minus one equals five, so f(x) = 5 when x = 3.
For the function g(x), when x = 3, you get the equation g(x) = 4(3) - 5. Four times three equals 12, so the equation is now g(x) = 12 - 5. 12 minus five equals seven, so g(x) = 7 when x = 3.
Hope this helps :)
isolate the variable on the following problem. show your work.
-2=-4+x
Answer:
x=2
Step-by-step explanation:
Add 4 to both sides:
-2=-4+x
-2+4=-4+4+x
2=x
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
First we must add 4 to both sides.
[tex]-2 = -4 + x[/tex]
+4 +4
-4 + 4 = 0
-2 +4 = 2
Isolating a variable means that it is alone on its side of the eqation.
[tex]2 = x[/tex]
x is now isolated and we also have the solution for it.
[tex]x = 2[/tex]
Is this labeled right?? If not, please help me on what has to be changed. Ty! This is timed! I’ll give brainliest to whoever answers first :)
Aparabola has the focus at (4,6) and the directrix y = -6. Which equation represents this parabola?
Answer:
(x - 4)² = 24y
Step-by-step explanation:
In a parabola with focus at (x, y) and directrix at y = k - p, we can write;
Focus: (h, (k + p))
Directrix: y = k - p
We are given focus at (4, 6)
Thus;
h = 4 &
k + p = 6 - - - (1)
Also, directrix at y = -6
Thus;
k - p = -6 - - - (2)
Adding eq(1) and eq(2) together gives us;
2k = 0
k = 0
Thus, p = 6
The equation takes the formula;
(x - h)² = 4p(y - k)
Plugging in the relevant values;
(x - 4)² = 4(6)(y - 0)
(x - 4)² = 24y
Answer:
(x-4)^2=24y
Step-by-step explanation:
I took the test and got it right.
Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5
Answer:
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x subtract x both sides
8x+9=25 subtract 9 both sides
8x=16 divide by 8
x=2
Find the surface area of the prism
HAPPY THANKSGIVING ヾ(≧ ▽ ≦)ゝ
here is my gift to you (/≧▽≦)/points
Q: what are you grateful for ?
Answer:
I am grateful for my family and Friends! ^-^ Thank you! HAVE A HAPPY THANKSGIVING!
Step-by-step explanation:
Answer:
I am thankful for my family and my health.
Step-by-step explanation:
Given: LINE AB≅ LINE CB, LINE AD≅ LINE CD, ANGLE BAD≅ ANGLE BCD, LINE BD bisects ANGLE ABC
Prove: TRIANGLE BDE ≅ TRIANGLE CBD
Proof:
Statements
1. LINE AB≅LINE CB, LINE AD≅LINE CD
2.
3. ANGLE BAD ≅ ANGLE BCD
4. ANGLE ABD ≅ ANGLE CBD
5.
6. TRIANGLE ABD ≅ TRIANGLE CBD
Reasons
1.
2. Reflexive Property of congruence
3. Given
4.
5. Third Angles Theorem
6.
Answer:
Step-by-step explanation:
Statements Reasons
1). AB ≅ CB, AD ≅ CD 1). Given
2). BD ≅ BD 2). Reflexive Property of congruence
3). ∠BAD ≅ ∠BCD 3). Given
4). ∠ABD ≅ ∠CBD 4). Given
5). ∠BDA ≅ ∠BDC 5). Third angles theorem
6). ΔABD ≅ ΔCBD 6). SAS property of congruence of two
triangles
d(x+1)=c solve for x
Answer:
x=(c/d)-1
Step-by-step explanation:
the answer to your question is x=c/d - 1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Evaluate the function f(x) = x/3+4 for f(-9).
a. -23
b. -2
c. 7
d. 1
Answer:
d. 1
Step-by-step explanation:
To evaluate a function, plug the number in the parentheses into the expression in place of x:
(-9/3) + 4 = 1
Answer:
option d.
Step-by-step explanation:
answer is 1
as LCM is 3
-9/3+ 4/1*3/3=
-9+12/3= 3/3
=1
Savannah's biweekly salary is $3010.What is her annual salary?
A. 74020
B. 215
C. 6020
D. 78260
Answer: $78,260
Explanation:
is her annual salary bi annually means ever two weeks and 52 weeks in a year so u divide 52 by two and multiply that by her biweekly salary
I need help with this Show work on each one
Answer:
first one is 1
Second is -2/3
5 Which process is necessary for the formation of igneous rock?
A. Erosion
B. Deposition
C. Solicitation
D. Metamorphism
Answer:
ANSWER IS ........... C
Step-by-step explanation:
Directions: Determine whether the relation is a function. If the relation is a function, determine whether the
function is linear or nonlinear. EXPLAIN IN DETAIL WHY EXPLAIN the best way as possible
Answer:
Step-by-step explanation:
1. yes it is a function. The x is used just once and will pass the vertical line test.
2.y =-2x+3. Yes. Came as above. The x intercepts are (3/2,0) and the y is (0,3)
3. x= -2. No because it is a straight line or vertical line up the -2
solve x-15% of x= Rs.170
Answer:
200
Step-by-step explanation:
x-15% of x= Rs.170
x - 0.15x = 170
0.85x = 170
x = 170/0.85
x = 17000/85
x = 200
please help me this question
Answer: If the air-plane travels 1020 km in one hour, then it will cover 4250 km in 25/6 hours.
The formula which relates distance, speed, and time is given by d = rt, where d is the distance traveled, r is the rate of travel or the speed, and t is the time traveled. To find out the distance an aircraft will travel in t = 25/6 hours, we must first find out the speed r of the aircraft in kilometers per hour (km/hr) as shown:
d = rt
1,020 km = r(1 hr)
(1,020 km)/(1 hr) = [r(1 hr.)]/(1 hr)
1,020 km/hr = r(1 hr./1 hr)
1,020 km/hr = r(1)
r = 1,020 km/hr
Now, calculating the distance the aircraft will travel in t = 25/6 hours, we have:
d = rt
= (1,020 km/hr)(25/6 hr)
= (1,020)(25/6) km
= (1,020/6)(25) km
= (170)(25) km
= 4,250 km
Answer:
4250 km
Step-by-step explanation:
[tex]\Large\bf{GiveN,} \\ [/tex]
[tex] {Distance\:covered\: in \:1\:hour\:=\:1020\:km}[/tex][tex] {Distance\:covered\: in \:25/6\:hour\:= }[/tex] [tex] { 25/6\:×\:distance\:covered\: in \:1\:hour}[/tex]⠀⠀⠀[tex] \textbf{Distance\:covered\: in \:1\:hour} [/tex]
⠀⠀⠀⠀⠀[tex] \implies [/tex][tex]\bf\dfrac{25}{6}[/tex] × 1020
⠀⠀⠀⠀⠀[tex] \implies [/tex][tex]\bf\dfrac{25×1020}{6×1}[/tex]
⠀⠀⠀⠀⠀[tex] \implies [/tex][tex]\bf\dfrac{25500}{6}[/tex]
⠀⠀⠀⠀⠀⠀ [tex]\small{\underline{\mathcal{\green{ =\:4250\:km}}}}[/tex]
[tex] \therefore[/tex][tex] {\:\:\:Distance\: covered\: in \:25/6\:hrs\:by\:plane}[/tex][tex] {⠀⠀⠀⠀⠀= 4250\:km}[/tex]
How would I Graph y = -3/2x - 3
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4640 seats. The students filled 85% of the seats in the theater. How many 6th graders went on the trip?
Answer
3944
explaination:
multiply 4640 by 85%, you get 394400. next add n with one hundred. now divide 394400 by 100 and you get 3944. enjoy :)
2) Ages of Workers Group 1 18 25 56 42 29 38 54 47 35 30 Ages of Workers Group 2 23 19 50 49 67 34 30 59 40 33 Ages of Workers Group 3 19 22 24 40 45 29 33 29 39 59 Ages of Workers Group 4 21 23 25 40 35 19 70 40 22 23 The ages of four groups of 10 workers at a factory are shown. Which group has the largest mean absolute deviation? A) Group 1 B) Group 2 C) Group 3 D) Group 4
Answer: B) Group 2
Step-by-step explanation:
Given the data:
Group 1 : 18 25 56 42 29 38 54 47 35 30
Group 2 : 23,19,50,49,67,34,30,59,40,33
Group 3 : 19,22,24,40,45,29,33,29,39,59
Group 4 : 21,23,25,40,35,19,70,40,22,23
The mean absolute deviation (MAD) :
Σ(x - m) / n
Where :
m = mean ; n = number of observations
Using calculator to save computation time :
GROUP 1:
m = 37.4 ; n = 10
Mean Absolute deviation = 10
GROUP 2:
m = 40.4 ; n = 10
Mean Absolute deviation = 12.68
GROUP 3:
m = 33.9 ; n = 10
Mean Absolute deviation = 9.48
GROUP 4:
m = 31. 8; n = 10
Mean Absolute deviation = 11.56
9.48 < 10 < 11.56 < 12.68
Group 3 < group 1 < group 4 < group 2
Group 2 has the highest mean absolute deviation with a value of 12.68
Answer:
group 4
Step-by-step explanation:
USA test preo
The Playground Center purchases swing sets for $385.99. It sells the swing sets for $598.99. What is the percent of markup? Round to the nearest percent.
Answer:
55%
Step-by-step explanation:
$598.99–$385.99
=$213
$213/$385.99 × 100%
=55%
The profit percent is 55.1%.
What is profit Percent?The profit formula aids in determining the gain in any financial transaction as well as the profit made by selling a specific product, which is typically done in a business. When the selling price exceeds the cost price, a profit can be determined. So, the equation to calculate the profit is:
Profit = Selling Price (S.P.) - Cost Price (C.P.)
and, profit percent = (Profit/Cost Price) × 100.
Given:
Playground Center purchases swing sets for $385.99.
Selling price of swing sets = $598.99.
Profit = $598.99–$385.99
Profit = $213
and, profit percent
=profit / CP x 100
= $213/$385.99 × 100%
=0.551 x 100
= 55.1%
hence, the profit percent is 55.1%.
Learn more about profit percent here:
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1. Explain why the slope of line a is
6
13
12
11
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
find the equation of the line. y=?x+? lol helppp please
Answer:
y=3/4x+(-2) aka the first blank is 3/4 the second blank is -2
Step-by-step explanation:
The first blank is the slope, the second one shows the y-intercept. You are welcome
help please True or False: Only like terms can be combined.
Answer:
True
Step-by-step explanation:
WORTH ALOT OF POINTS PLEASE HELP. Nathaniel is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let PP represent Nathaniel's total pay on a day on which he sells xx computers. The table below has select values showing the linear relationship between xx and P.P. Determine how many computers Nathaniel would have to sell in order to get paid $80.00 on a given day.
Answer: 2
Step-by-step explanation:
Answer:
its 1
Step-by-step explanation:bgbtt