The function f(a+1) is equal to option C. 3a + 4.
What is meant by mathematical function?A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed. A graph is considered to be a function if any vertical line formed can cross it at most one point. The graph is not a function if it contains any locations where a vertical line can pass through it twice or more. The expression y=f(x) defines the function f. You should interpret this as "y is a function of x." The input value, also known as an independent variable, is symbolized by the letter x.Given function:
f(x) = 3x + 1
We have to find f(a+1).
For this purpose, we will take x = a+1 and
substitute it in the function f(x) = 3x+1:
f(x) = 3x + 1
f(a+1) = 3(a+1) +1
f(a+1) = 3(a) + 3(1) +1
f(a+1) = 3a+3+1
f(a+1) = 3a + 4
So the function f(a+1) is equal to option C. 3a + 4.
The complete question is,
Given the function f(x) = 3x + 1, evaluate f(a + 1).
A. 3a + 1
B. a + 2
C. 3a + 4
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2(3x-9)=2x+10 what's x
Answer:
x = 7
Step-by-step explanation:
2(3x-9)=2x+10
6x - 18 = 2x + 10
4x = 28
x = 7
Answer:
x = 7
Step-by-step explanation:
In order to find the value of x, isolate it in the equation.
1) First, distribute the 2 to the terms inside the set of parentheses.
[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]
2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.
[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]
2) Divide both sides by 4 to finally isolate x.
[tex]4x = 28 \\x = 7[/tex]
Thus, x = 7.
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answer:x= 38.079
Step-by-step explanation:
A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?
Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15
A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.
Answer:
the correct answer is C the system of equations has no solution.
how do I solve this
Answer:
113
Step-by-step explanation:
DQ= 180-112= 68
and sum of ang in quad add to 360 so
lets call what we have to find x
so x+ 68+56+123= 360
x+247=360
x= 113
hii please help i’ll give brainliest if you give a correct answer!
Answer:
8
Step-by-step explanation:
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
Enter the correct answer in the box.
What is the standard form of function f?
[tex]f(x)=4(x+6)^2+5[/tex]
Substitute numerical values into the equation for a, b, and c.
[tex]f(x)=ax^{2} +bx+c[/tex]
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
How many hours does Desmond need to work each month to spend 50% of his/her income
on fixed expenses?
Answer: 160 hours
============================================================
Explanation:
He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.
If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.
Set 10x equal to this and solve for x
10x = 1600
x = 1600/10
x = 160
He needs to work 160 hours a month.
-------------------------------
Extra info:
Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week
If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.
So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).
what is m
A.
B.
C.
D.
Answer: .B.
Step-by-step explanation
I NEED HELP ASAP, AND PLZ DONT SPAM
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the indices,
After applying the log rules we get the equation as,
===> 3-x = 1/2
===> x = 5/2
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answer:
Step-by-step explanation:
AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]
=12
Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16
Answer:
2. -16
6. 23
7. -40
8. -17
9. 41
10. -58
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
1^2+8^2=[tex]\sqrt 65\\[/tex]
Help me find the slope to 0,0 and 6,1
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and gradient.
slope, m = y2-y1/ x2-x1
hence, m = 1-0/ 6-0
m = 1/6
hence slope = 0.166
please help me , I am so confused my head is hurting from this problem...
Answer:
For the first one you could do 1 and 3/5 for the second one you ca do 2/5 3/5 and 3/5 again to get the answer
Step-by-step explanation:
1 + 3/5 = 1 3/5
2/5 + 3/5 + 3/5 = 1 3/5
help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Write the equation of the line.
Find y. Simplify completely.
y = [?]
Enter the number that belongs in the green box.
Please helpppp
Answer:
181?
Step-by-step explanation:
I saw a thing that it was A-squared plus B-squared=C.
9 squared=81. 10 squared=100. 100+81=181.
(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.
Answer:Y=190
Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped
how do you find the x-intercepts if given the following polynomial in factored form?
X(x-2)^2(x+4)(x+1)
Answer:
Step-by-step explanation:
You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.
The first part, plain X = 0, so X = 0 is a root, an x-intercept
The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.
The third part (x+4) = 0, so x = -4 is another root.
Finally, (x+1) so x = -1 is another root.
So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts
Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%
Answer:
80%:20%
Step-by-step explanation:
100 divided by 5 = 20
20 x 1 = 20
20 x 4 = 80
Meaning 80%(4):20%(1)
A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?
I tried it isn't 30 cm
Answer:
30cm
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
Hence the perimeter of the resulting triangle= 10+10+10= 30cm
how many times can 1/4 go into 6
Answer:
24 times
Step-by-step explanation:
Answer:24
Step-by-step explanation:
(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11
Answer:
x=9 option C
Step-by-step explanation:
explanation above
Please mark me as brainlist
4 minutes 53 seconds to seconds
Answer: 293 Seconds
Step-by-step explanation:
Answer:
293 seconds
Step-by-step explanation:
one minute = 60 seconds
4 x 60 = 240 seconds -------> use the equation above to multiply per min
240 + 53 = 293 seconds -------> add the remaining seconds to find total
Make x the subject
y = 5x + 3
Answer:
x=y-3/5
Step-by-step explanation:
y=5x+3
y-3=5x
y-3/5=x
x=y-3/5
6 74/500 as a decimal (giving another chance for brainliest)
Answer:
6.148
Step-by-step explanation:
what is 1/6x + 3/4(1/2x - 4)?
Answer:
13x/24-3
Step-by-step explanation:
Answer:
hello! :) have a good day!
[tex]\frac{13x}{24\\} -3[/tex]
I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
The answer are
CX=10/3
ML=76
Step-by-step explanation:
NUMBER 4
We know that the averages are divided 1 to 2 by the base
[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]
NUMBER 5
[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]
Determine the geometric mean of 11 and 8.
Answer:
[tex]\sqrt{88}[/tex]
Step-by-step explanation:
The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].
According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.
The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition
[tex]\frac{a}{b}=\frac{b}{c}[/tex]
The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.
The geometric mean is the positive square root of the product of two numbers.
For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.
If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.
So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]
Here, a = 11 and b = 8
The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]
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