Answer:
a. f(12) = - 1
b. x = 27 when f(x) = 4
Step-by-step explanation:
We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4
To find f(12) we simply plug in 12 into x and evaluate it
[tex]f(x)=\frac{1}{3} x-5[/tex]
plug in 12
[tex]f(12)=\frac{1}{3} (12)-5[/tex]
multiply 12 and 1/3 to get 4
[tex]f(12)=4-5[/tex]
subtract 5 from 4 to get -1
[tex]f(12)=-1[/tex]
Now we want to find the value of x when f(x) = 4
To do this we substitute 4 for f(x) and solve for x
[tex]f(x)=\frac{1}{3} x-5[/tex]
substitute 4 for f(x) and solve for x
[tex]4=\frac{1}{3}x -5[/tex]
add 5 to both sides
[tex]9=\frac{1}{3} x[/tex]
multiply both sides by 3
27 = x
And we are done.
So f(12) = -1 and x = 27 when f(x) = 4
For a plug in 12 for x:
f(12) = 1/3(12)-5
f(12) = 4-5
f(12) = -1
For b plug in 4 for x:
f(4) = 1/3(4)-5
f(4) = 4/3 -5
f(4) = 0.75-5
f(4)= -4.25
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{2}{3}[/tex]
What is the equation of the line?
Answer: x=0
Step-by-step explanation:
The line has an undefined slope and has infinitely many solutions as it passes through the y-axis
Therefore the equation of the line is x=0
can i get some help ?::
Answer:
7+3^2-2*5/4-1*2=
7+9-10/-2=
6/-2 or -3
3/4+1/8=
7/8 divided by 1/8=
7-2^2
3
-3<3
the second one is larger
Hope This Helps!!!
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
solve 4/6 x 2/5(PLEASE HELP I'M FAILING MATH!!!!!!!!!!!!!!!!!!!!!!!!!!)
[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
5 1/4 - 2 2/3 in fraction form
Answer:
6 1/10 (6.1)
Step-by-step explanation:
2 3/5 + 3 1/2 (2.6 + 3.5= 6.1)
2 6/10 + 3 5/10
5 11/10
6 1/10 (6.1)
Algebra 1
Q.13 Complete a function table from an equation 273
Complete the table.
f(x) = 2x - 10
х f(x)
6
7
8
9
Submit
Answer with step-by-step explanation:
To solve this, all we have to do is replace x in 2x - 10 with the number from the table.
6: 2(6) - 10 = 2
7: 2(7) - 10 = 4
8: 2(8) - 10 = 6
9: 2(9) - 10 = 8
There you have it! Have a good day :)
4x + 7 = 6x + 4. what is this answer step by step?
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
What are the terms in this expression: x + 7 - 3x + 6y (Check all that apply)
A is x
B is -4
C is -3x
D is 6y
E is +7
add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2
Answer:
8x² - 5y² + 5xy
Step-by-step explanation:
8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy
Why are the two houses of Congress a compromise? How did this address the concerns of both groups?
Answer:
To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.
Step-by-step explanation:
these are so confusing, can someone explain how to do this
Answer:
4
Step-by-step explanation:
x/2 +6 = 8
subtract 6 from both sides
x/2 = 2
multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4
Hope that helps
Answer:
x = 4
Step-by-step explanation:
The left side of the equation has a variable term (x/2) and a constant term (6).
The right side of the equation has a constant term (8).
This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.
Step 1:
Subtract the left-side constant from both sides.
x/2 +6 -6 = 8 -6
x/2 = 2 . . . . . simplify
Step 2:
Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...
2(x/2) = 2(2)
x = 4 . . . . . . simplify
_____
Additional comment
The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.
[tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]
1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.
When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.
As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.
__
Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.
(1/2)x . . . . with or without the parentheses
0.5x
x/2
3(x+2)+5x how do i simplify that expression?
Answer:
2(4x+3)
Step-by-step explanation:
Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5
Combine the terms 3 + 6 + 5 to 8 + 6
Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )
In the past month Melissa went to buy video games and 7 DVD the rental price for each video game was $3.10 the rental price for each DVD was $3.70 what is the total amount that Melissa bent on the video game and the DVD rentals in the past month
I need help with this problem:
Which system of equations belongs to the graph?
a) 2x - 2y = 6 and 2x + 3y = 6
b) 2x + 2y = 6 and 4x – 6y = 12
c) x - 2y = 6 and 4x + 6y = 12
d) None of the above
Answer:
b)
Step-by-step explanation:
2x + 2y = 6 ---> y=-1x+3
4x – 6y = 12 ---> y= 4/6x -2
Answer:
I think it is a
Step-by-step explanation:
You have to solve those systems first. In the first option, x would be equal to 3 and y would be 0. Therefore, the intersection is (3; 0)
someone pleeeeease help me
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
Each time Cali babysits, she gives 35% of
the money to her sister who comes and
helps out. Find the expression that
shows how much money Cali keeps each
time she babysits.
A. (0.35%
B. X-(0.35)
C. x/0.35
D. X-0.35
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
Answer:
gigabytes
gigabytes
Answer: 2 is the maximum number of gigabytes
Step-by-step explanation:
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
5/6+1/4 these are fractions
Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
Which expression is equivalent to 3 2 times 3-5 ?
Answer:
A)
Step-by-step explanation:
asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Answer:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
Step-by-step explanation:
Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf
k/5.6+ 41.5 = 10.8
The solution is k=
Answer: The solution is k = -171.92.
Answer:
k = - 171.92
Step-by-step explanation:
[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )
[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )
k = - 171.92
Simplify the variable expression below as much as possible.
X + 8 .z
Answer here
Answer:
It will stay at x + 8
Step-by-step explanation:
What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
Learn more about functions here:
https://brainly.com/question/28533782
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pls help on my maths
Answer:
X=((2q+5p)/3)^1/2
This is how x has to be subjected
Step-by-step explanation:
Please Brainlist
Answer:
[tex]x[/tex] = √2q + 5p / 3
Step-by-step explanation:
3[tex]x^{2}[/tex] = 2q + 5p
[tex]x^{2}[/tex] = 2q + 5p / 3
[tex]x[/tex] = √2q + 5p / 3
Graph A (-3.-2), B (-5,-4), and C (-3,-4)
Pls solve the problems
Graph attached