Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.
Answers
Answer:
0 solutions
Step-by-step explanation:
The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.
__
The equations can be put into slope-intercept form by eliminating the parentheses.
6(x +2) = y ⇒ y = 6x +12
y = 3(2x +3) ⇒ y = 6x +9
These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.
Related Questions
An Uber ride costs a flat rate to start the ride and then charges an additional amount per mile. By the 3rd mile, the total cost of the trip is $9. By the 7th mile, the total cost is $17. What is the flat rate that Uber charges and how much does it cost per mile?
Answers
Step-by-step explanation:
the function is
ride cost c = mile rate r × miles m + flat rate f
c = r×m + f
now let's put the values in we know and solve for r and f :
9 = r×3 + f
17 = r×7 + f
now, since one term is the same in both equations, we use a simple trick for speed, and we subtract the whole first equation from the second :
17 = r×7 + f
- 9 = r×3 + f
-------------------
8 = r×4 + 0
r = 8/4 = $2
9 = 2×3 + f = 6 + f
f = $3
the first rate is $3, and it costs $2 per mile.
What value would you need to multiply the top equation by in order to eliminate the y variable in the following system of equations?
Answers
Answer:
-3
Step-by-step explanation:
-3 would eliminate the y so you would solve for x.
Leave a comment if this doesn't make sense ;)
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answers
Answer:
0.21
Step-by-step explanation:
Line A has a slope of -
and passes through the point
Line B has a slope of 3 and passes through the point (-32, -2)
Find the point where line A intersects line B.
Answers
Answer:
Graphing
Step-by-step explanation:
Refer to the image below!
(I really need help ASAP)
Solve the exact solutions to the following linear systems using the most appropriate strategy
a.
2/5x – 2y = 9
y = 5x + 1
b.
15 = 3m + 5n
2x - 9y = 10
Answers
Answer:
a= 10 b=1
Step-by-step explanation:
I had the same question
Can some help me plzzzz
Answers
Answer:
Should be 9 grams
Step-by-step explanation:
240÷40=6 576÷2÷2÷2÷2÷2÷2=9
how do we do thisss
3^-2 × 3^x = 81
Answers
Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is
[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 2 = 4 ( add 2 to both sides )
x = 6
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answers
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
help me with this math work please
Answers
2) +5
3) -3 degrees C
4) 21 degrees C
5) +150
6) -3 degrees C
7) 25
8) +6
(positive signs are not required)
BRAINLIEST PLEASE
plss help po
grade 11 student topic
Answers
Answer:
1. f(3) = 11
2. f( 1 ) = 6
3. f(-2) = -5
Step-by-step explanation:
Note: I will only work on questions 1 and 2 in order to allow you to practice the techniques provided in this post, as you work on question 3. However, I will provide the correct answer for question 3, as your reference.
In order to evaluate each of the given functions, simply substitute the inputs provided in the function notation, f(x).
1. f(x) = 2x + 5, find f(3).To evaluate the given linear function, simply substitute x = 3 as an input into the function:
f(3) = 2x + 5
f(3) = 2(3) + 5
f(3) = 6 + 5
f(3) = 11
Therefore, the value of f(x) = 2x + 5 given f(3) is: f(3) = 11.
2. f(x) = x² + 2x + 3, find f(1)Similar to question 1, substitute x = 1 as the input of the given quadratic function.
f(x) = x² + 2x + 3
f( 1 ) = ( 1 )² + 2( 1 ) + 3
f( 1 ) = 1 + 2 + 3
f( 1 ) = 6
Therefore, the value of f(x) = x² + 2x + 3 given f( 1 ) is f( 1 ) = 6.
3. f(x) = 3x² + 5x - 7, find f (-2)If evaluated properly, the correct answer is: f(-2) = -5.
666.96358875 × 411.8596678
Answers
Answer:
274695.40209727081725
Step-by-step explanation:
Guided Practice
In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.
Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.
Which point is the vertex of y = 2x^2 + 1?
A.
(0, 0)
B.
(0, 1)
C.
(1, 0)
D.
(1, 1)
Check Answer
Answers
It takes 25 minutes to prepare the cake mixture and 70 minutes to bake in the
Kirsty is going to make a birthday cake for the party.
Kirsty then needs three quarters of an hour to decorate the cake.
The cake needs 1.5 hours to cool before decorating.
She wants to finish decorating the cake at least 2 hours before the
oven.
party starts.
The party starts at 2.30 pm.
What time should Kirsty start making the cake?
Show why you think this.
Answers
Answer:
she will start making it at 10 am
Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit
Answers
Answer:
$68.53. 67%
Step-by-step explanation:
$68. 58 I think I'm not sure
3х – 2y = 27
=
3х -
у = 24
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-2*y-(27)=0
STEP1:
Equation of a Straight Line
1.1 Solve 3x-2y-27 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000
y-intercept = 27/-2 = -13.50000
Calculate the X-Intercept :
When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000
x-intercept = 27/3 = 9
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.000/2.000 = 1.500
Geometric figure: Straight Line
Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)
Answers
Answer:
3
Step-by-step explanation:
here are 8 cardsthere is a number on each of these 6 cards
Answers
Answer:
I don't knowStep-by-step explanation:
sorry I apologize
plz help will mark as brainliest
Answers
Answer:
18⁰
Step-by-step explanation:
As AOB is a line so it's is 180 ⁰
Hence,
5y+3y+2y=180⁰
10y=180⁰
y=180⁰/10
y=18⁰
True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.
Answers
Answer:
1
Step-by-step explanation:
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answers
Answer:
34
Step-by-step explanation:
634 - 600 = 34
If r= 13.5 cm, q = 16.2 cm, p = 18cm, and o = 8.1 cm, what is the measure of n?
Answers
Which is bigger 12 cm or 102 mm
Answers
On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.
To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.
Now, the conversion factor cm and mm is
1 cm = 10 mm
Then, using the conversion factor convert 12 cm to mm
12 cm = 12 x 10 mm
= 120 mm
Now, compare 120 mm and 102 mm which gives 120 mm is greater.
Thus, 12 cm is greater than 102 mm.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ4
The Happy Paws pet store holds obedience classes for newly adopted puppies. On the first
night of class, the instructor separates all of the puppies into 11 equal groups. Each group
has 3 puppies in it.
Use an equation to find the number of puppies in the class.
Answers
Answer:
33 is the correcr answeerrr
Step-by-step explanation:
11x3 is 33
is this true or false |-2.9|> 2.6
Answers
Hello! :)
I will start by explaining what the l l notation means.
It means "absolute value" or a number's distance from zero.
Absolute value is always positive. Remember this:
lal=a
l-al=a
Now, using this, let's solve our math problem.
l-2.9l>2.6
2.9>2.6
Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.
Hope it helps.
Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
Answer:
True
Step-by-step explanation:
The absolute value of -2.9 is 2.9.
So 2.9>2.6
Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answers
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
A closed circular cylinder has a diameter of 21 cm and height of 14.5 cm find it total surface area
Answers
Answer:
this is the correct answer happy
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answers
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.
Help!! Solve for X round to the nearest 10th
Answers
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.
so,
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 11/sin(58)
x = 11×sin(32)/sin(58) = 6.873562871...
rounded x = 6.9
X + 3 - 3=-6 show all work
Answers
Answer:
x = -6
Step-by-step explanation:
[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]
what is the equation to solve this
Answers
Answer:
p=(180.50-19.50)/23
Step-by-step explanation: