The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
Let us solve the question
∵ f(x) = 4x + 4
∵ g(x) = x² - 6
→ We need to find (f + g)(x) which means f(x) + g(x)
∴ (f + g)(x) = f(x) + g(x)
∵ f(x) + g(x) = (4x + 2) + (x² - 6)
∴ f(x) + g(x) = 4x + 2 + x² - 6
→ Add the like terms
∵ f(x) + g(x) = 4x + x² + (2 - 6)
∴ f(x) + g(x) = 4x + x² + (-4)
→ Remember (+)(-) = (-)
∴ f(x) + g(x) = 4x + x² - 4
→ Arrange the terms from greatest power of x
∴ f(x) + g(x) = x² + 4x - 4
∴ (f + g)(x) = x² + 4x - 4, is the required function.
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help !!! find the value of x, please show how you solved it
Answer:
x = 48°
Step-by-step explanation:
Since the 2 legs are congruent then the triangle is isosceles and the base angles are congruent, that is
x = 48°
1) Avery also tracks the number of minutes a player
plays and the number of points the player scored.
Describe the association between the two data sets.
Tell what the association suggests.
Points Score
Answer:
the amount of players should determine the amount of points scored within the game, so the more points scored the more players there should be.
Step-by-step explanation:
2. Identify the degree, leading coefficient, and constant value
a. f(x) = x3 - 8x2 - x+8
Answer:
Just look, qnd i think you can sollw the problem.
The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.
6 ft, 6 ft
The range of the third side is < x < .
Answer:
0 < x < 12
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12
0 < x < 12
Which is an example of a non-statistical question?
Questions
Question 1 Is Because of Winn-Dixie your favorite book?
Question 2 How many books has each student read in the last month?
Question 3 How many books does each student own?
Question 4 How many books did you read over the summer?
Answer:
Question 1
Step-by-step explanation:
Evaluate d − f if d = 7 and f = −15
Answer:
Step-by-step explanation:
7 - - 15
7 + 15
22
hope this helps <3
How many solutions are there to the system of equations graphed below?
2 solutions
1 solution
Infinitely many solutions
No solution
Answer:
there is no picture??
Step-by-step explanation:
where is the pic
Three consecutive integers have a sum of 87. Find the integers.
Answer:
28, 29, 30Step-by-step explanation:
Let the integers be x- 1, x and x +1, then:
x - 1 + x + x + 1 = 873x = 87x = 29The integers are 28, 29, 30
Answer:
Let the numbers be (x-1), x and (x+1)
According to the above problem,
[tex](x - 1) + x + (x + 1) = 87 \\ 3x = 87 \\ \boxed{x = 29}[/tex]
Therefore, the numbers are 28, 29 and 30.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
3a
Step-by-step explanation:
Here we have to divide like terms that means 9 by 3, a^3 by a^2 and b by b. 9 by 3= 3, a^3 by a^2=a after subtracting power 3 and 2 we get 1 and b by b are both cut like dividing 2 by 2 is cut and we get 1 which is not necessary to write as there would be no difference in ans.
Hope this helps you
I don’t remember how to do this
Answer:
The inequality of these 2 numbers is 4
Step-by-step explanation:
You have to find the difference between these numbers and you'll get your inequality. Hope this helps!
Please mark me as brainliest :)
Giving brainliest!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
6+13 = 19 not 19.
In this case X=5 so No it isn't solution.
5.
6.
How many feet from the base of a house must a
39-foot ladder be placed so that the top of the
ladder will reach a point on the house 36 feet from
the ground?
Answer:
what a confusing question?
Step-by-step explanation:
im guessing 3 feet
In which quadrant is the number -14 – 5i located on the complex plane? a.I b.II C.III D IV
L 5.2.3 Quiz: Two-Variable Systems: Substitution
Question 7 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 10x-9
y = x + 18
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
[tex]y = 10x-9\\y = x + 18[/tex]
For substitution method we substitute the value of x or y from one equation to other.
Let:
[tex]y = 10x-9--eq(1)\\y = x + 18--eq(2)[/tex]
Putting value of y from equation 2 into equation 1
[tex]y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3[/tex]
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
[tex]y=x+18\\x=y-18[/tex]
Now, putting value of x in equation 1
[tex]y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21[/tex]
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether
Answer:
$1890
Step-by-step explanation:
x= couches
y=chair.
x=2y
2x=3y+270
2(2y) or 4y=3y+270
y=270
x=540
2(540)+3(270)=1890.
Hope this helps :D
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total spending is $1890
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
George bought 2 identical couches and 3 identical chairs.
A couch costs twice as much as a chair.
Let the cost of one couch = 2x
Let the cost of one chair = x
Now,
He spent $270 more on the couches than on the chairs.
This means that,
2(2x) = 270 + 3x
4x = 270 + 3x
Subtract x on both sides.
x = 270
The total spending.
= 4x + 3x
= 4 x 270 + 3 x 270
= 1080 + 810
= $1890
Thus,
The total spending is $1890
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If a video is getting 12,000 views every 4 hours, how long will it take to reach 30,000 views?
Step-by-step explanation:
12,000 views = 4 hours
=> 30,000 views = 4 * (30000/12000) = 10 hours.
Hence it will take 10 hours.
Answer:
10
Step-by-step explanation:
Since we know every 4 hours the vid recieves 12,000 views, we divide 12,000 by 4 to see how many views it recieves in 1 hour. We get 3,000. So 3,000 views every hour. Divide 30,000 by 3,000, to get 10 hours.
What is the simplified form of StartRoot StartFraction 2,160 x Superscript 8 Baseline Over 60 x squared EndFraction EndRoot? Assume x ≠ 0. 36x3 36x2 6x3 6x2
Answer:
6׳ is your answer.
Step-by-step explanation:
Edge2020
Answer:c
Step-by-step explanation:
What are two different way of factoring -3x-9? Select all that apply
Options:
A. –3(x + 3)
B. 3(x + 3)
C. 3(–x – 3)
D. –3(x – 3)
Answer:
A and C
Step-by-step explanation:
Given
[tex]-3x - 9[/tex]
Required
Factorize
The options are not given; So, I'll answer on a general term
[tex]-3x - 9[/tex]
Express -9 as -3 * 3
[tex]-3x - 9 = -3x - 3 * 3[/tex]
Then factorize 3 out of the expression as:
[tex]-3x - 9 = 3(-x - 3)[/tex]
Another way is to factor -3 out of the expression as:
[tex]-3x - 9 = -3x - 3 * 3[/tex]
[tex]-3x - 9 = -3(x + 3)[/tex]
The Library has 2 books about the desert and 8 books about the rain forest. The books were divided into groups of 2. How many groups are there?
You have 2 books abt the desert and 8 abt the rain forest
and 4×2=8
so they're 4 groups
hope this is the right awnser since I'm not smart :)
What is the following difference? 2ab * (root(3, 192a * b ^ 2)) - 5(root(3, 81a ^ 4 * b ^ 5))
Answer:
C
Step-by-step explanation:
it was correct for me on edge
In a school, 60% of the students are girls.
50% of the girls walk to school.
20% of the boys walk to school.
What percentage of the students walk to school?
Answer:
Not entirely sure but 38%
Step-by-step explanation:
Answer:
38%
Step-by-step explanation:
-10 F is colder than -4 degrees?
Answer: yes, it is a smaller temperature, which means that is "colder"
Step-by-step explanation:
I guess that the question is:
Is -10°F colder than - 4°C?
Ok, when we have a temperature T in Celcius, the equation to transform this quantity to the Fahrenheit scale is:
T' = (T*9/5) + 32°
Replacing T by the temperature in celcius, we get:
T' = (-4°*9/5) + 32° = 24.8°F
This means that -4°C is equivalent to 24.8°F
And -10°F is a smaller value than 24.8°F (which mean that is colder)
This implies that -10°F is colder than -4°C
Then the statement is true.
you say me when you start at 21 and count by tens. I am after 91. I am before 111. What number am i?
Answer:
101
Step-by-step explanation: it is before 111 and after 91
Answer:
101
Step-by-step explanation:
91, 101, 111. 101 is above 91, but below 111, while it is also counting by tens starting from 21
I tried to type this as clear as possible, Lol can someone help-w
The positions of two divers from the water's surface after a dive are shown:
Jack: −35 feet
Simon: −40 feet
Which inequality explains why Jack is closer to the surface than Simon?
A. Because −35 > −40, so −35 is closer to 0 than −40
B. Because −35 −40, so −35 is farther from 0 than −40
D. Because −35 < −40, so −35 is farther from 0 than −40
Answer:
A
Step-by-step explanation: because when you say its closer to 0 thats right
Answer:
A
Step-by-step explanation:
Hope this helps anybody <33
(Entered this on my test and it was correct !!)
13 points for anyone that can solve the issue
please show working
Answer:
Step-by-step explanation:
1. u^2 = x^(p+q)
v^2 = x^(p-q)
Show that logx u + logx v = p
From statement 1
p + q = logx u^2 = 2 logx u (by the laws of logs)
Similarly:
p - q = logx v^2 = 2 logx v
So 2 logx U + 2 logx v = p+q + (p - q)
2 (logx u + logx v) = 2p
logx u + logx v = p.
Also 2(logx u - logx v) = p+q - (p - q) = 2q
and logx u - logx v = q.
2. ∛(8a^3b^3) / √(1/25 * a^4b^7)* (16√(a^4b^6))^-1/2
= 2ab / 1/5a^2b^7/2 * (16a^2b^3)^-1/2
= 2ab / 1/5a^2b^7/2 * 1 / 4ab^3/2
= 2ab / 4/5 a^3 b^5
= 5ab / 2 a^3 b^5
= 5/(2a^2b^4).
Answer:
Step-by-step explanation:
Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.
The value of xi is
The value of yı is
The point-slope form of the equation is
9514 1404 393
Answer:
the value of x1 is 6the value of y1 is -1the point-slope equation is: y +1 = 2(x -6)Step-by-step explanation:
Point-slope form is ...
y -y1 = m(x -x1) . . . . . . line with slope m through point (x1, y1)
The given point is (6, -1), so ...
x1 = 6
y1 = -1
The given slope is 2, so ...
m = 2
Substituting these into the point-slope form above gives ...
y -(-1) = 2(x -6)
y +1 = 2(x -6)
Answer:
y+1= 2(x-6)
Step-by-step explanation:
Hi! Before we begin answering the question, we need to recall the formula for Point-Slope Form which is y- yı= m(x-xi), in which m is the slope of the function. With this given information, we just need to plug in the point (6,-1) and the slope 2 into the given function.
This will look like:
y- (-1) = 2 (x-6)
Notice that two negatives will make a positive, so the left side of the equation is the same as y+1.
Therefore, our answer is y+1= 2(x-6) .
36 + 15(40 - 35)
Evaluate
Select the correct answer.
Solve the system of equations.
y = x + 2
y = x2 + 7x + 10
A.
(-2,0) and (-4,-2)
B.
(-2,-4) and (-4,-6)
C.
(-2,-2) and (-4,0)
D.
(2,4) and (4,6)
Answer:
(-2,0) and (-4,-2)
Step-by-step explanation:
The solution to the system of equations is where the two graphs cross
They cross at (-2,0) and (-4,-2)
Answer:
The answer is A
Step-by-step explanation:
Go through each one and just plug in the equation
ALso a easier way is just look at the graph and look at the two lines that are shown *when the blue thingy crosses the line* (My vocabulary sucks rn)
ANd there are 2 points there, identify and you should be fine
ALso for equation purposes
y=x+2
B and C dont work
Only A and C
But the second one
Only A woris so A
Find the 8th term of the geometric sequence 10, -40, 160, ...
Answer:
-163840
Step-by-step explanation:
You're multiplying by -4 every time.
10, -40, 160, -640, 2560, -10240, 40960, -163840... so on and so forth.
Solve for X 3(x•2)=10•x