Answer: one solution x + 3 = 5 x = 2 no other other value for x is possible
No solution: (x + 3) = 2(x +3)
Infinitely many solutions: x+3 = 3 + x
Step-by-step explanation:
why (x + 3) = 2(x +3) has no solution. Can you solve?
x+3=2x+6 -x=3 x=-3 substute -3 for x
(-3)+ 3)= 2[(-3) +3]
-3+3 = -6 +3
0 = -3 False!
x+3 = 3 + x has infinitely many solutions. Substitute any number for x, and the equation is true (5)+3=3+(5) 8=8 . 11111+3 =3+11111 11114=11114
An equation can either have: one solution, no solution, or infinitely many solutions. Some equations that can be derived from [tex]x + 3[/tex] and their solution type are:
[tex]x + 3 = 2x[/tex] has one solution[tex]x + 3 = x[/tex] has no solution[tex]x + 3 = 2(0.5x + 1.5)[/tex] has one solutionGiven that:
[tex]Expression = x + 3[/tex]
Equation with one solution
For an equation to have one solution. then the equation is consistent and dependent.
For instance:
[tex]x + 3 = 2x[/tex]
Collect like terms to solve for x
[tex]2x -x = 3[/tex]
[tex]x =3[/tex]
This means that [tex]x =3[/tex] is the only solution to [tex]x + 3 = 2x[/tex].
Hence, [tex]x + 3 = 2x[/tex] has one solution
Equation with no solution
For an equation to have no solution. then both sides of the equation are not equal
For instance:
[tex]x + 3 = x[/tex]
Collect like terms to solve for x
[tex]x- x = 3[/tex]
[tex]0 = 3[/tex]
Because 0 is not equal to 3, then [tex]x + 3 = x[/tex] has no solution
Equation with infinitely many solutions
For an equation to have infinitely many solutions. then both sides of the equation must be the same thing
For instance:
[tex]x + 3 = 2(0.5x + 1.5)[/tex]
Open the bracket
[tex]x + 3 = x + 3[/tex]
Collect like terms
[tex]x - x = 3 - 3[/tex]
[tex]0 = 0[/tex]
Because both sides are the same (i.e. 0), then [tex]x + 3 = 2(0.5x + 1.5)[/tex] has infinitely many solutions
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put these in order starting from the smallest 6^2,3^4,2^5,5^3
Work out the size of angle x
Answer:
Let's name the angle right close to 51 as c.
c = 180°-51° since angles on a straight line is equal to 180°.
so c= 129°
so x = 129° since it corresponds to c
Answer:
Step-by-step explanation:
Notice that the line that the variable x is on is equal to 180 degrees. Because the angle that it is next to is equal to 51 degrees, you subtract 180 from 51:
180-51=129
The final answer to this problem is 129 degrees.
6. Six 2 liters of Pepsi cost $12. How much would 15 two - liters of
Pepsi cost?
Answer:
30 doll hairs
Step-by-step explanation:
6/12=2 which is the price of one 2 liter bottel
2x15=30
Hope this helps!!
What is the remainder in the synthetic division problem below? 14 6 - 1
Answer:8
Step-by-step explanation:
y=f(1/3x) & find new coordinates
Answer:
A(-3,0)
B(6,1)
C(15,0)
Step-by-step explanation:
To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.
[tex]y=a(x-h)^2+k[/tex]
where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)
so the equations becomes
[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]
So our equation y=f(x) becomes
[tex]y=-\frac{(x-2)^2}{9}+1[/tex]
now for
[tex]y=f(\frac{x}{3} )[/tex]
we replace the x in the original equation above with x/3 which changes the equation to
[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]
and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)
so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.
f(x) = 3x^2 + 16 Find f(-1)
Answer:
Step-by-step exThis is a way to express finding the inverse function of
f
(
x
)
=
x
2
−
16
Explanation:
First, write the function as
y
=
x
2
−
16
.
Next, switch the
y
and
x
positions.
x
=
y
2
−
16
→
Solve for
y
in terms of
x
x
+
16
=
y
2
y
=
√
x
+
16
The inverse function should be
f
−
1
(
x
)
=
√
x
+
16
put the numbers vertical
The value of the function for x = -1 is 19.
Given is a function f(x) = 3x² + 16 we need to find f(-1),
To find f(-1), we substitute -1 into the function f(x) and evaluate the expression.
Let's do that:
f(x) = 3x² + 16
Substituting x = -1:
f(-1) = 3(-1)² + 16
Simplifying:
f(-1) = 3(1) + 16
f(-1) = 3 + 16
f(-1) = 19
Therefore, f(-1) is equal to 19.
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If f(x) = 8x + 1 and the graph of g is the graph f translated 2 units to right, which equation represents g?
A. g(x) = (6x + 1) + 2
B. g(x) = (6x + 1) - 2
C. g(x) = 8(x + 2) + 1
D. g(x) = 8(x - 2) + 1
Can someone please help?
The equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given function f(x) = 8x + 1 is translated by 2 units to the right on the graph.
The function will be changed as below,
f(x) = 8x + 1
After translation, the value of x will become x - 2.
f(x) = 8(x-2) + 1
Therefore, the equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.
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3x + 2y + 4 ; x= 2 and y=3 |
Answer:
if x=2 and y=3 then
3x+2y+4 ---> 3(2)+2(3)+4
3(2)+2(3)+4
6+6+4
6+10
16
Write the slope-intercept form of the equation of each line
− 3 − {3 − [ − 3(2 +4) − ( − 2)]}
PLEASE HELP ME!!
Does the following depict a translation, reflection, or rotation?
Katie borrowed $550. Four months later, she sent a cheque for $562.83 to repay the loan and interest. What was the interest rate charged?
Answer:
3 percent
Step-by-step explanation:
562-550=12divided 4=3
The product of 2x^3 and 6x^5 is
The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. How many miles the trip is from the airport to the convention center?
Use m for the variable.
Answer:
m=13
Step-by-step explanation:
11.50-5.00= 6.50
6.50 divided by .50
= 13 miles
m=13
Select the coordinates of two points that are on the line x = 5.
Answer:
anything as long is 5 is in the x spot, ex: (5, 1) or (5, 2)
Step-by-step explanation:
x=5 is a straight line up from the x axis where 5 is, meaning it has an undefined slope
Identify the coefficient and exponent of these very large and very small numbers represented in scientific notation. Identify how each number would be represented in scientific notation. 5,890,000 = a × 10b a = b = 0.0000521 = c × 10d c = d =
Answer:
a is 5.89
b is 6
c is 5.21
d is -5
Step-by-step explanation:
the original numbers are 5,890,000 and 0.0000521 you have to place the decimal point so that there is only one number between 1 and 9 before the decimal so for the first equation that would end up being 5.89, and to get there you have to move the decimal point 6 places to the right, so the exponent on the 10 would be 6, and the second equation would be 5.21 and for this one you have to move the decimal point 5 units to the left so it would end up being -5/.
Answer:
a- [5.89]
b- [6]
c- [5.21]
d- [-5]
Step-by-step explanation:
PLEASE MARK BRAINLIEST
I NEED IT FOR A NEW RANK<3
Written Portion
The graph below shows the relationship between time and distance traveled
by a race car moving at a constant rate and at its maximum speed. How long
did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
8400
300
200
100
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
2.4 hours
Step-by-step explanation:
The graph is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.
A line passing through the point [tex](x_1,y_1)\ and\ (x_2,y_2)\[/tex] can be represented by the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (0.5, 100) and (3.5, 700). Hence using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]
The jazz band has m(variable) members. To raise money for a tour, each member sold 12 raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer: 12m
Step-by-step explanation:
Each member sells 12 tickets, so you would have to multiply the amount of tickets(12) by the amount of members(m).
=============================================
Explanation:
1 person sells 12*1 = 12 tickets
2 people sell 12*2 = 24 tickets
3 people sell 12*3 = 36 tickets
....
m people sell 12*m = 12m tickets
m is a placeholder for a positive whole number (1,2,3,...)
What is the answer for
√x+5 +2=√x-7
Solution: x∈Ф
No solution
Step-by-step explanation:
[tex]\sqrt{x} +5+2=\sqrt{x} -7[/tex]
[tex]5+2=-7[/tex]
[tex]7=-7[/tex]
[tex]1=-1[/tex]
x∈Ф
What’s the awnser to this question.
Answer:
(g ￮ f )(x)
Step-by-step explanation:
(g ￮ f )(x) means substitute f(x) into g(x) , that is
g( [tex]\frac{1}{x-2}[/tex] )
= [tex]\frac{1}{x-2}[/tex] + 5
Answer:
(g ￮ f )(x)
Step-by-step explanation:
If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?
Answer:
most are expected to get nothing
Answer:
You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value
Step-by-step explanation:
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
zero
one
two
infinitely many
Answer:
Zero Solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+13=3(x+6)+1
3x+13=(3)(x)+(3)(6)+1(Distribute)
3x+13=3x+18+1
3x+13=(3x)+(18+1)(Combine Like Terms)
3x+13=3x+19
3x+13=3x+19
Step 2: Subtract 3x from both sides.
3x+13−3x=3x+19−3x
13=19
Step 3: Subtract 13 from both sides.
13−13=19−13
0=6
Answer:
There are no solutions.
Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.
Answer:
J's would be (-5,-4) if J was reflected over the line x=3.
is 45.03 greater then 40.44 or are they equivalent?
Answer:
greater
Step-by-step explanation: 45 and 40
Answer: Yes 45.03 is greater than 40.44
Step-by-step explanation: 45.03 - 40.44 = 4.59 since it isn't zero they aren't eqivilant.
PRECAL TRIG
WILL MARK BRAINLIEST IF THEY RESPOND IN 5 MINS
Its A
Because
a
is
right
If you were to describe a translation of triangle , what information would you need to include in your description?
Can you please tell me the four types of algebraic expressions?
Answer:
MonomialPolynomialBinomialTrinomialMultinomial (these are the five types of algebraic expressions)Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the equation of the circle whose center and radius are given.
center (5, 6), radius = 3
PLEASEEEE HELPPPP!!!! 50 POINTSSS!!!!!
Answer:
Please check this image for the answer.
Answer:
(x - 5)² + (y -6)² = 9Step-by-step explanation:
Formula for the circle is
(x – h)² + (y – k)² = r²Using the center (5, 6) and radius of 3
(x - 5)² + (y - 6)² = 3²(x - 5)² + (y -6)² = 9F(x)=(X+1)(x+3)(x-4)
Answer:
y=x3−13x−12
Step-by-step explanation:
Express the following equation in slope-Intercept form: 9x - 4y=-36
Answer:
y= 9/4x+9
Step-by-step explanation:
you write the 9/4 as a fraction it looks a little confusing I don't have an actual fraction symbol so it's 9/4 then x plus 9 :)