Answer:
True.
Step-by-step explanation:
Consecutive square numbers can be written as:
1^2, 2^2, 3^2, 4^2, 5^2 ...
The sequence of the numbers being squared in odd, even, odd, even...
Squaring an odd number yields an odd. Squaring an even yields an even. The difference between an odd and even number is always odd. Since consecutive perfect squares are odd, even, odd... then the difference is always odd.
Answer:
The answer is: True.
Step-by-step explanation:
A perfect square number in math is an integer that can be expressed as the product of a number by itself.
The difference between each square and consecutive number, if it starts with 0, is all odd numbers, in ascending order.
The answer is: True.
Can someone help please
6=x+2/3
x=16/3 or 5.33333333
Answer:
Step-by-step explanation:
multiply by 3 the whole equation
6×3 = (x)×3 + (2/3) ×(3)
18 =3x + 2
subtracting 2 both sides
18-2 = 3x +2-2
16= 3x
dividing by 3 both sides
16/3 = 3x / 3
16/3 = x
Two containers, labeled A and B, are filled with red and blue marbles according to the quantities listed in the answer choices below. Each container is shaken vigorously. After choosing one of the containers, you will reach in and, without looking, draw out a marble. If the marble is blue, you win $50. Which container gives you the best chance of drawing a blue marble?
Comparing the probability values for each Container, Hence, both containers give equal chances of winning .
Complete question:
Container __ Red ___ Blue
A ________ 6 ______ 4
B ________ 60 _____ 40
Using the probability formula:
Probability = Number of favorable outcomes/ Total possible outcomesFor Container A :
P(blue) = 4/(4+6) = 2/5For Container B :
P(blue) = 40/(60+40) = 2/5Since the probability values are the same, then both Container gives equal Chances of winning.
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Find the value of two numbers if their sum is 16 and their difference is 2.4
Lets x and y are the value of two numbers.
x + y = 16
x - y = 2.4
If x + y = 16 then x = 16 - y
Substitute x = 16 - y into x - y = 2.4
16 - y - y = 2.4
16 - 2y = 2.4
2y = 13.6
y = 6.8
x = 16 - y
x = 16 - 6.8
x = 9.2
Answer:
The value of two numbers are 9.2 and 6.8
Factor:
9y + 2x - 6 - 3xy
Answer:
9y - 3xy + 2x - 6
= 3y(3 - x) + 2(x - 3)
= -3y(x - 3) + 2(x - 3)
= (2 - 3y)(x - 3)
Out of 25000 students figure out the percent of 3700, how would i do that?
I have to Express 34.5 ÷ 15
You can solve this using long division. The answer should end up being 2.3.
Answer:
2.3
Step-by-step:
To make it easier,break it down first;35.5 also means 345/10(after the point,the number of digits is the number of 0’s behind the 1 that was used to divide a whole number.e.g;784.25=78425/100 e.t.c).You can then make the divided by 15 which also means 15/1 to multiplication by reversing it to *1/15(an example is division of 17/4 reversed to multiplied by 4/17).Note;After reversing the sign would change from division to multiplication.From there,we have an easier decimal;345/10*15/1=23/10 which is then equal to 2.3Let’s say you plan to start a lawn-mowing business for a little extra money over the
summer. A new lawn-mower costs $450. Between the gas you use and the time is takes to travel (your time is important, after all), you estimate you will incur a cost of approximately $6 per lawn you mow. If you charge $35 for each lawn you mow, how many lawns must you mow before you become profitable?
If you plan on mowing only 3 lawns per day, 5 days per week, over the summer, how
long will it take to make a profit of $2,500? Do you think this is a reasonable goal? Why or why
not?
Part A.
You spend $6 per lawn and charge $35 per lawn, so the profit per lawn is $35 - $6 = $29. Let the number of lawns you mow be n. You earn a profit of $29 pewr laun, so you earn a profit of 29n for mowing n lawns.
29n = 450
Divide both sides by 29.
n = 450/29 = 15.517...
You must mow 16 lawns to make profit.
Part B.
3 lawns per day for 5 days per week means 15 lawns per week. Since you make a profit of $29 per lawn, you will make a profit of 15 * $29 for 15 lawns in each week. 15 * $29 = $435.
You want to make $2500 profit, but you must spend $450 on the lawn mower, so you need to earn a total of $2500 + $450 = $2950.
Let n be the number of weeks. In one week, you make $435 in profit. In n weeks, you make 435n in profit.
435n = 2950
Divide both sides by 435.
n = 6.7816...
If you work for 7 weeks, you will make at least $2500 in profit.
Since the summer vacation is longer than 7 weeks, it is a reasonable goal, but you must take into account the time it takes to mow three lawns in one day.
What is the square root of r^64
Answer:
The answer is 8.
Step-by-step explanation:
If is
[tex]\sqrt{r^{64}}=\sqrt{r^{32\cdot2}}=\sqrt{(r^{32})^2}=r^{32}[/tex]
Used:
[tex](a^n)^m=a^{nm}\\\\\sqrt{a^2}=a\ for\ a\geq0[/tex]
If is
[tex]\sqrt{64}=8[/tex] because [tex]8^2=64[/tex]
Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and increasing. b) Find all local maximam and minimam. Does the absolute (global) maximam / minimam have? c) Determine where f (x) curves up and down. Also find any turning points.
we are given
[tex]f(x)=e^x sin(x)[/tex]
(a)
Firstly, we will find critical numbers
so, we will find derivative
[tex]f'(x)=e^x sin(x)+e^x cos(x)[/tex]
now, we can set it to 0
and then we can solve for x
we get
[tex]x=\frac{3\pi }{4} ,x=\frac{7\pi }{4}[/tex]
now, we can draw a number line and then locate these values
and then we can find sign of derivative on each intervals
increasing intervals:
[tex][0,\frac{3\pi}{4} )U(\frac{7\pi}{4} , 2\pi][/tex]
Decreasing interval:
[tex](\frac{3\pi}{4} ,\frac{7\pi}{4} )[/tex]
(b)
Local maxima:
It is the value of x where function changes from increasing to decreasing
so, local maxima is at
[tex]x=\frac{3\pi}{4}[/tex]
Local minima:
It is the value of x where function changes from decreasing to increasing
so, local minima is at
[tex]x=\frac{7\pi}{4}[/tex]
now, we will plug critical numbers and end values into original function
and we get
At x=0:
[tex]f(0)=e^0 sin(0)[/tex]
[tex]f(0)=0[/tex]
At [tex]x=\frac{3\pi}{4}[/tex]:
[tex]f(\frac{3\pi}{4})=e^{\frac{3\pi}{4}} sin(\frac{3\pi}{4})[/tex]
[tex]f(\frac{3\pi}{4})=7.46049[/tex]
At [tex]x=\frac{7\pi}{4}[/tex]:
[tex]f(\frac{7\pi}{4})=e^{\frac{7\pi}{4}} sin(\frac{7\pi}{4})[/tex]
[tex]f(\frac{7\pi}{4})=-172.640[/tex]
At [tex]x=2\pi [/tex]:
[tex]f(2\pi)=e^{2\pi} sin(2\pi )[/tex]
[tex]f(2\pi )=0[/tex]
Global maxima:
It is the largest value among them
so, we get
[tex]f(\frac{3\pi}{4})=7.46049[/tex]
Global minima:
It is the largest value among them
so, we get
[tex]f(\frac{7\pi}{4})=-172.640[/tex]
(c)
now, we can find second derivative
[tex]f'(x)=e^x sin(x)+e^x cos(x)[/tex]
[tex]f''(x)=\frac{d}{dx}\left(e^x\sin \left(x\right)+e^x\cos \left(x\right)\right)[/tex]
[tex]=\frac{d}{dx}\left(e^x\sin \left(x\right)\right)+\frac{d}{dx}\left(e^x\cos \left(x\right)\right)[/tex]
[tex]=e^x\sin \left(x\right)+\cos \left(x\right)e^x+e^x\cos \left(x\right)-e^x\sin \left(x\right)[/tex]
[tex]f''(x)=2e^x\cos \left(x\right)[/tex]
now, we can set it to 0
and then we can solve for x
[tex]f''(x)=2e^x\cos \left(x\right)=0[/tex]
so, we get
[tex]x=\frac{\pi}{2} ,x=\frac{3\pi}{2}[/tex]
now, we can draw number line and locate these values
and then we can find sign of second derivative on each intervals
concave up intervals:
[tex][0,\frac{\pi}{2})U(\frac{3\pi}{2}, 2\pi][/tex]
Concave down intervals:
[tex](\frac{\pi}{2} ,\frac{3\pi}{2})[/tex]
Turning points:
All values of x for which concavity changes
so, we get turning points at
[tex]x=\frac{\pi}{2} ,x=\frac{3\pi}{2}[/tex]
fff
[tex]f(x) = e^x sin (x)[/tex]
To find increasing and decreasing intervals we take derivative
[tex]f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)[/tex]
Now we set the derivative =0 and solve for x
[tex]e^x(sinx+cosx)=0[/tex]
sinx + cosx =0
divide whole equation by cos x
[tex]\frac{sinx}{cosx} + \frac{cosx}{cosx} =0[/tex]
tanx +1 =0
tanx = 1
[tex]x=\frac{3\pi }{4}[/tex] and [tex]x=\frac{7\pi}{4}[/tex]
Now we pick a number between 0 to [tex]\frac{3\pi }{4}[/tex]
Lets pick [tex]\frac{\pi }{2}[/tex]
Plug it into the derivative
[tex]f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))[/tex]
= 4.810 is positive
So the graph of f(x) is increasing on the interval [0, [tex]x=\frac{3\pi }{4}[/tex])
Now we pick a number between [tex]\frac{7\pi}{4}[/tex] to 2pi
Lets pick [tex]\frac{11\pi}{6}[/tex]
Plug it into the derivative
[tex]f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))[/tex]
= 116 is positive
So the graph of f(x) is increasing on the interval [tex](\frac{7\pi }{4}, 2\pi)[/tex]
Increasing interval is [tex](0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)[/tex]
Decreasing interval is [tex](\frac{3\pi}{4}, \frac{7\pi}{4})[/tex]
(b)
The graph of f(x) increases and reaches a local maximum at [tex]x=\frac{3\pi}{4}[/tex]
The graph of f(x) decreases and reaches a local minimum at [tex]x=\frac{7\pi}{4}[/tex]
(c)
f(0) = 0
[tex]f(2\pi)=0[/tex]
[tex]f(\frac{3\pi }{4})=7.46[/tex]
[tex]f(\frac{7\pi}{4})=-172.64[/tex]
Here global maximum at [tex]x=\frac{3\pi}{4}[/tex]
Here global minimum at [tex]x=\frac{7\pi}{4}[/tex]
41 F equals how many degrees Celsius ?
Hello Crystalkujawa
41 Fahrenheit is 5 degrees Celsius
EQUATION :
(41°F − 32) × 5/9 = 5°C
:)
Using the formula, C = (F - 32) × 5/9, 41 degrees Fahrenheit is equal to 5 degrees Celsius.
How to convert Fahrenheit to Degree Celsius?To convert Fahrenheit (F) to Celsius (C), you can use the following formula:
C = (F - 32) × 5/9
In this formula, "F" represents the temperature in Fahrenheit, and "C" represents the temperature in Celsius.
Calculation:
Given temperature in Fahrenheit, F = 41°F
Plug the value of F into the formula:
C = (41 - 32) × 5/9
Now, perform the calculation:
C = 9 × 5/9
The 9 in the numerator and denominator cancel out, leaving us with:
C = 5
So, 41°F is equal to 5°C.
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Write the equation of the line with a slope of -1 and a y-intercept of -6
y=-1x-6 is your answer
If Raul rides his bike 3 miles for 10 minutes how many mile would he ride for 60 minutes at the same speed
60 divided by 10 =6
3x6=18
Raul would ride 18 miles.
Hope this helped :)
Raul would ride 18 miles for 60 minutes at the same speed.
Explanation:To find out how many miles Raul would ride for 60 minutes at the same speed, we can set up a proportion. If Raul rides 3 miles for 10 minutes, then we can say that 3 miles is to 10 minutes as x miles is to 60 minutes. Setting up this proportion, we get: 3/10 = x/60. To solve for x, we can cross multiply and then divide both sides by 10. This gives us: x = (3/10) * 60 = 18 miles.
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Convert the following metric units of weight. a. 40 centigrams to grams b. 53 milligrams to grams c. 0.54 grams to decigrams d. 2.3 grams to milligrams
Answer:
a) [tex]0.4[/tex] grams
b) [tex]0.053[/tex] grams
c) [tex]5.4[/tex] decigrams
d) [tex]2300[/tex] milligrams
Step-by-step explanation:
a)
To convert centigrams to grams you have to divide by 100.
[tex]40[/tex] centigrams = [tex]\frac{40}{100}[/tex] grams
=[tex]0.4[/tex] grams
b)
To convert milligrams to grams you have to divide by 1000.
[tex]53[/tex] milligrams = [tex]\frac{53}{1000}[/tex] grams
=[tex]0.053[/tex] grams
c)
To convert grams to decigrams you have to multiply by 10.
[tex]0.54[/tex] grams = [tex]0.54*10[/tex] decigrams
=[tex]5.4[/tex] decigrams
d)
To convert grams to milligrams you have to multiply by 1000.
[tex]2.3[/tex] grams = [tex]2.3*1000[/tex] milligrams
=[tex]2300[/tex] milligrams
Least common multiple of 2,5,6
Method 1: By Listing Multiples
List out all multiples of each number, and find the first common one.
Multiples of 2
: 2, 4, 6 ... 26, 28, 30, ...
Multiples of 5
: 5, 10, 15, 20, 25, 30, ...
Multiples of 6
: 6, 12, 18, 24, 30, ...
Therefore, the LCM is 303030.
Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
Prime Factors of 2
: 2
Prime Factors of 5
: 5
Prime Factors of 6
: 2, 3
Therefore, the LCM is 2×3×5=30.
LCM = 30
.Perform each operation. Check by using the inverse operation. a. 769 – 362 = b. 502 + 17 = c. 7,802 – 3,461 = d. 1,432 + 2,568 =
a.) [tex]769-362 = 407[/tex]
Checking: Since, [tex]407+362 = 769[/tex]
Therefore, our answer is correct.
b.) [tex]502+17 = 519[/tex]
Checking: Since, [tex]519-17 = 502[/tex]
Therefore, our answer is correct.
c.) [tex]7802-3461 = 4341[/tex]
Checking: Since, [tex]4341+3461 = 7802[/tex]
Therefore, our answer is correct.
d.) [tex]1432+2568 = 4000[/tex]
Checking: Since, [tex]4000-2568 = 1432[/tex]
Therefore, our answer is correct.
Answer:
Consider the numbers:
a) 769 - 362 = ?
Subtract the numbers.
769 - 362 = 702
Therefore, the value is 702.
Now, check using the inverse operation.
407 + 362
Add the numbers.
407 + 362 = 769
Thus, the answer is correct.
Consider the numbers:
b) 502 + 17 = ?
Add the numbers.
502 + 17 = 519
Therefore, the value is 519.
Now, check using the inverse operation.
519 - 17
Subtract the numbers.
519 - 17 = 502
Thus, the answer is correct.
Consider the numbers:
c) 7802 - 3461 = ?
Subtract the numbers.
7802 - 3461 = 4341
Therefore, the value is 4341.
Now, check using the inverse operation.
4341 + 3461
Add the numbers.
4341 + 3461 = 7802
Thus, the answer is correct.
d) 1432 + 2568 = ?
Add the numbers.
1432 + 2568 = 4000
Therefore, the value is 4000.
Now, check using the inverse operation.
4000 - 2568
Subtract the numbers.
4000 - 2568 = 1438
Thus, the answer is correct.
Find the dilated coordinates with the given center and scale factor (k). NEED ANSWER ASSAP
Do you need all the coordinates or just A' and B'
which of the sets does -33/5 belong to
-33/5 belongs to the set of
Rational numbers
Real numbers
Complex numbers
(all at the same time)
An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497.69?
Here we are given the information that an insurance agent receives 16% commission on every premium paid.
Now we are given that a premium of $497.69 is paid.
Let us say $x is the commission paid on the policy with a premium of $497.69.
Let us try to find the amount x here.
So we have to find 16% of 497.69 to get the commission amount x.
So finding 16% of 497.69.
x= 16% of 497.69 = 0.16*497.69 = 79.63
Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.
Answer:
$ 79.6304 of commission was paid on policy with a premium of $497.69.
Step-by-step explanation:
Percentage on amount received on every premium = 16% of the premium
So, when the premium of the $ 497.69 was paid , the commission received by an agent will be: 16% of the $497.69 .
[tex]\$497.69\times \frac{16}{100}=\$79.6304[/tex]
$ 79.6304 of commission was paid on policy with a premium of $497.69.
if f(x)=5x-2 and g(x)=2x+1, find (f+g)(x)
A.7x-3
B.3x-1
C.7x-1
D.4x-3
To find (f+g)(x), add f(x) and g(x) together. (f + g)(x) is calculated as (5x - 2) + (2x + 1), which simplifies to 7x - 1. Therefore, the correct answer is C. 7x - 1.
Explanation:The question asks to find the sum of two functions, f(x) and g(x).
To find (f+g)(x), we add the two functions together.
Here's how we calculate it:
First, we take the function f(x) = 5x - 2 and the function g(x) = 2x + 1.
Then, we add them together: (f + g)(x) = f(x) + g(x).
So, (f + g)(x) = (5x - 2) + (2x + 1).
Combining like terms, we get (f + g)(x) = 5x + 2x - 2 + 1.
This simplifies to (f + g)(x) = 7x - 1.
Therefore, the correct answer is C. 7x - 1.
Final answer:
To find (f+g)(x), we need to add the functions f(x) and g(x) together. The function f(x) is given as f(x) = 5x-2 and the function g(x) is given as g(x) = 2x+1. To add the functions, we simply add the coefficients of the variable and the constant terms. So, (f+g)(x) = (5x-2) + (2x+1) = 7x-1. Therefore, the correct answer is C. 7x-1.
Explanation:
To find (f+g)(x), we need to add the functions f(x) and g(x) together. The function f(x) is given as f(x) = 5x-2 and the function g(x) is given as g(x) = 2x+1.
To add the functions, we simply add the coefficients of the variable and the constant terms. So, (f+g)(x) = (5x-2) + (2x+1) = 7x-1. Therefore, the correct answer is C. 7x-1.
Find the equation of a circle with center at the origin and x intercepts 10 and -10
Find the product of (3x − 4)(2x2 + 2x − 1).
Solve:
(3x − 4)(2x^2 + 2x − 1)
Simplify:
(3x − 4)(2x^2 + 2x − 1)
= (3x + −4)(2x^2 + 2x + −1)
= (3x)(2x^2) + (3x)(2x) + (3x)(−1) + (−4)(2x2) + (−4)(2x) + (−4)(−1)
= 6x^3 + 6x^2 − 3x − 8x^2 − 8x + 4
Answer = 6x^3 − 2x^2 − 11x + 4
Hope that helps!!!! : )
Final answer:
The product of (3x - 4) and (2x² + 2x - 1) is calculated by multiplying each term in the first polynomial by each term in the second and combining like terms, resulting in the final expression 6x³ - 2x² - 11x + 4.
Explanation:
The product of the polynomials (3x − 4) and (2x2 + 2x − 1) is obtained by applying the distributive property, otherwise known as FOIL (First, Outer, Inner, Last) method in this context. Each term in the first polynomial is multiplied by each term in the second polynomial and then the results are summed together. The step-by-step calculation is as follows:
Multiply the First terms: (3x) × (2x2) = 6x3.
Multiply the Outer terms: (3x) × (2x) = 6x2.
Multiply the Inner terms: (− 4) × (2x2) = − 8x2.
Multiply the Last terms: (− 4) × (− 1) = 4.
Once these calculations are done, we combine like terms:
6x3 (no like terms to combine here)
6x2 − 8x2 = -2x2
(3x) × (2x) = 6x2 (already accounted for in the previous step)
(3x) × (−1) = -3x
(− 4) × (2x) = − 8x
4 (no like terms to combine here)
So, adding all these up, we get:
6x3 − 2x2 − 3x − 8x + 4
Combining the x terms, we have:
− 3x − 8x = − 11x, so the final answer is:
6x3 − 2x2 − 11x + 4
HELP PLS math equation!
b represents rate of change
Answer:
rate of change
Step-by-step explanation:
explain how ba+ca can be rewritten as a(b + c)
with the distributive property of multiplication you can take ba+ca and rewrite it as a(b+c)=ab+ac=ba+ca
Courtney has $50 to spend at the county fair. She spends $10 on admission and $15 on snacks. The games at the fair cost $1.25 each. Which inequality could be used to find the maximum number of x games that Courtney can play while at the fair?
$1.25x + $10 + $15 (less than or equal to) $50
Answer:
So, with the reaming 25 dollars she can play at max 20 games.
Step-by-step explanation:
Given that
Amount Courtney has to spend = $ 50
Amount Spent on Admission = $ 10
Amount Spent on Snacks = $ 15
Price of a Game at Share = $ 1.25
Now, lets find the total amount spent by her already
Amount Spent = 50 - 10 - 15 = $ 25
Suppos x represent the number of games so, we can represent the remaining amount and in term of games that can be purchased by using it
[tex]1.25x\leq25[/tex]
the above inequality can be simplified as follows
[tex]x\leq\frac{25}{1.25}[/tex]
[tex]x\leq20[/tex]
So, with the reaming 25 dollars she can play at max 20 games.
Error Analysis. Find and Correct ALL 3 of the errors in the proof.( 3 points)
Answer: The correct reason for [tex]\angle4\cong \angle7[/tex] is property of corresponding angles and the reason for [tex]\angle4+\angle6=180[/tex] is substitute [tex]\angle7=\angle4[/tex] and the third error is the forget the property that the sum of consecutive interior angles is 180.
Explanation:
It is given that m is parallel to n.
When two parallel lines intersected by a transversal eight angles are produced as shown in the given figure, where m and n are parallel and l is the transversal line.
In this case corresponding angles are congruent. Example [tex]\angle1\cong \angle5[/tex],[tex]\angle2\cong \angle6[/tex] etc.
So, [tex]\angle4\cong \angle7[/tex] by the property of corresponding angles.
[tex]\angle7+\angle6=180[/tex] because these are supplementary angles.
Substitute [tex]\angle7=\angle4[/tex]
[tex]\angle4+\angle6=180[/tex]
So, the correct reason is substitution.
Hence proved [tex]\angle4+\angle6=180[/tex]
The third error is the forget the property that the sum of one side interior angles is 180. Since the alternate interior angles are congruent therefore the consecutive interior angles are supplementary angles around the sum of consecutive interior angles is 180 degree.
Help please with this, ASAP!
Answer:
[tex]a_{n}=12n-8[/tex]
Step-by-step explanation:
We have been given a recurrence relation [tex]a_{n+1}=a_{n}+12[/tex] and the first term of the sequence [tex]a_{1}=4[/tex].
We can rewrite the given recurrence relation as: [tex]a_{n+1}-a_{n}=12[/tex]
We know that if difference between two consecutive terms is always constant, the sequence is called an arithmetic sequence. So we are dealing with an arithmetic sequence with first term as 4 and common difference as 12.
We can therefore, write an explicit formula for nth terms of the sequence as.
[tex]a_{n}=a_{1}+(n-1)d\\a_{n}=4+(n-1)(12)\\a_{n}=4+12n-12\\a_{n}=12n-8\\[/tex]
This is the required explicit function rule for the given sequence.
if f(x)=3(x+5)+4/x what is f(a+2) ?
[tex]f(x)=3(x+5)+\dfrac{4}{x}\\\\f(a+2)\to\text{put x = a + 2 to the equation of the function f}\\\\f(a+2)=3(a+2+5)+\dfrac{4}{a+2}=3(a+7)+\dfrac{4}{a+2}[/tex]
Put these substances in order of density with the most dense first and the least dense last
nickel
cardboard
bubble wrap
steam
not 100% sure though
I need help with this Algebra question
Step 1 = Distributive Property ( multiplying the 2 by each term in parenthesis)
Step 2 = Addition Property ( adding like terms)
Step 3 = Addition Property (adding 34x to each side)
Step 4 = Division Property. ( dividing both sides by 17)
if f(x)=5x +2X and g(x)=3x-6, find (f+g)(x)
Answer:
[tex]10x-6[/tex]
Step-by-step explanation:
[tex]f(x) = 5x+2x\\g(x)=3x-6[/tex]
[tex](f+g)(x)\\f(x)+g(x)[/tex]
[tex]5x+2x+3x-6\\10x-6[/tex]
The value of (f+g)(x) is 10x - 6
Addition of two functional equation -We are taking into consideration the following two functions f(x) and g(x). The sum of these functions can be written f(x) + g(x) or as (f + g)(x). . The sum of the two functions is the sum of the two polynomials. Or in other words, the sum of any two functions gives us the addition of the terms present inside the function.
How to find the addition (f+g)(x) given in the question ?Given functions, f(x) = 5x + 2x
and g(x) = 3x - 6
Sum of the two functions -
∴ (f+g)(x) = f(x) + g(x) = 5x + 2x + 3x - 6 = 10x - 6
Therefore (f+g)(x) = 10x - 6
To learn more about addition of two functional equation, refer -
https://brainly.com/question/16442867
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