f(x) = 2x² + 1 and g(x)=x2-7, find (f- g)(x)
Answers
Hello!
\(\large\boxed{(f - g)(x) = x^2 + 8}\)
To calculate (f - g)(x), we simply subtract g(x) from f(x).
We are given that:
f(x) = 2x² + 1
g(x) = x² - 7
Subtract g(x) from f(x):
(f - g)(x) = 2x² + 1 - (x² - 7)
Distribute the negative sign. Remember, (-) times (-) is (+).
(f - g)(x) = 2x² + 1 - x² + 7
Combine like terms and solve.
(f - g)(x) = 2x² - x² + 1 + 7
(f - g)(x) = x² + 8
Related Questions
A line contains the point (-3,4). If the slope of the line is -2/3, write the equation of the line using slope intercept form
Answers
Answer:
y=-2/3x +2
Step-by-step explanation:
15. Bryson and Fady work at a PS4 factory, Bryson arrived at work before Fady and began making PS4's. Bryson had already made 30 PS4's when Fady began his work. Bryson was producing PS4's at a rate of 5 PS4's per hour. Fady was able to produce PS4's at a rate of 8 PS4's per hour. At some point, Bryson and Fady will have produced the same number of PS4's. Part A: Write a system of equations to represent the situation. Let x = hours and y=PS4's.
Answers
Bryson:
Already made PS4's = 30
Number of PS4's per hour = 5
Fady :
Number of PS4's per hour = 8
x= hours
y= ps4's
Bryson equation:
y= 30+5x
The number od PS4's made by Bryson (y), must be equal to the sum of the already made PS4's (30) and the product of the number of PS4's made per hour (5) and the number of hours (x)
Fady:
y= 8x
System of equations:
y= 30+5x
y= 8x
Select each equation that the number 103 makes true.
A. 6.01 x __ = 601
B. 0.305 x __ = 305
C. 0.54 x __ = 540
D. 0.097 x __ = 970
E. 0.97 x __ = 97
Can someone plz help me and dont just be here for points like fr-
Answers
Answer:
None of those is right
But if you have to put something then try A and B
Step-by-step explanation:
Here's the right answer for each equation
A. 100
B. 1000
C. 1000
D. 10000
E. 100
So if the question was to select each equation that the number 100 makes true.
Then the answers would have been A and E
Hope this helps, have a beautiful day
330,000,000,000,000,000,000,000 kg. to the power of ten
Answers
Answer:
uhhhhhhh not possible to much math
Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
FREE TAKE ONLY TAKE ENJOY
Answers
Answer:
Um okay? I'm confused...
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
Answers
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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A rectangular prism is 1 foot wide and 6 feet high. Its volume is 36 cubic feet. What is the length of the rectangular prism?
Answers
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answers
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
Adding Rational Expressions
Simplify the following sum, and show all work please.
Answers
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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Abagail bought 5 cartons of apple juice at lunch. Each carton held 300 milliliters of juice. How many milliliters of apple juice did she buy in all?
Answers
Answer:
1500ml
Step-by-step explanation:
300 x 5 = 1,500ml
Please mark me brainliest! Hope this helps!
God bless :)
7th- Grade question
8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of the
juice. How much juice was left in the bottle?
A. 2 1/12 cups
B. 2 1/6 cups
C. 2 5/12 cups
D. 2 5/6 cups
Answers
Answer:
C
Step-by-step explanation:
3 7/12 - 1 1/6
1. Change 1 1/6 into the same denominator as 3 7/12.
3 7/12 - 1 2/12
2. Subtract whole numbers.
3 - 1 = 2
3. Subtract the fractions.
7/12 - 2/12 = 5/12
4. Answer is 2 5/12 (C).
hope this helps :)
How to find derivative of x^5(1- (5/x+8))
Answers
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
PLEASE HELP:):):):):):):):)
Answers
Answer:
\(Area = 8\)
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
\(Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height\)
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
\(Area = \frac{1}{2} *(2 + 6) * 2\)
\(Area = \frac{1}{2} *8 * 2\)
\(Area = 8\)
Hence, the area is 8 units square
domain and range of: s={(-9,6),(5,6),(-3,0)}
Answers
Answer:
domain={-9,5,-3}
range={6,0}
Convert the following to standard form
y − 4 = (x + 2)
1. 1/2x+y=2
2. -1/2x+y=5
3. 2x + y = 4
4. None of the above
Answers
Answer: The correct answer is 4. None of the above
Step-by-step explanation:
Solve for x:
y−4=x+2
1) Flip the equation.
x+2=y−4
2) Add -2 to both sides.
x+2+−2=y−4+−2
x=y−6 and y=x+6
in standard form (Ax+By=C): -x+y=6, so none of the above is the answer
After the end of a baseball game, there were 1,000 cars in the parking lot. The graph below represents the number of cars remainin
in the parking lot after x minutes.
I MIGHT be wrong for B
Answers
The meaning of the slope in the linear function is given as follows:
B. Cars per minute.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope of a linear function represents the rate of change of the output variable relative to the input variable.
The variables for this problem are given as follows:
Output: number of cars.Input: number of minutes.Hence the slope represents the rate of change of cars per minute, hence option B is correct.
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What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answers
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
What is the length of CD?
Answers
Answer:
CD = 15
Step-by-step explanation:
Pre-SolvingWe are given two quadrilaterals: CDEF and GIJH.
We know that CD = 3x - 6, and GI = x + 8.
We want to find the length of CD.
SolvingFinding xNotice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.
Because of that, CD = GI.
If we substitute 3x - 6 for CD and x + 8 for GI, we get:
3x - 6 = x + 8
Now, we can solve this like a regular equation.
Add 6 to both sides.
3x - 6 = x + 8
+6 +6
_________________
3x = x + 14
Subtract x from both sides.
3x = x + 14
-x -x
_____________-
2x = 14
Divide both sides by 2.
2x = 14
÷2 ÷2
____________
x = 7
Finding the length of CDWe found the value of x.
Now, substitute 7 as x in 3x-6 (the length of CD).
CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15
Therefore, CD = 15.
If k(x) = 5x - 6, evaluate (k + k) (3).
Answers
Given that f( x ) = x^2 − 6x − 27 g(x)=x-9 find (f-g) (x) and express the result as a polynomial in simplest form.
Answers
The difference between f and g can be written as:
(f - g)(x) = x² - 7x - 18
How to express the difference between the polynomials?Here we have two polynomials given by:
f(x) = x² - 6x - 27
g(x) = x - 9
We want to find an expression for:
(f - g)(x)
This difference can be written as:
f(x) - g(x)
Now replacing the polynomials, we will get:
x² - 6x - 27 - (x - 9)
Now we can simplify this to get.
x² - 7x - 18
That is the simplest form.
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Please help! Need this but cannot find an answer for my hw
Answers
The equation of the line in y = mx + c form is y = (-25/4)(x) + 5.
Here, we are given a line as shown in the figure.
Let us take 2 points that the line passes through. We can see that the line passes through (0, 5) and (0.8, 0)
Now, we have two points, we can find the slope of the line.
Slope is taken to be m. Thus,
m = (y2-y1)/ (x2-x1)
here, (x1, y1) = (0, 5)
and (x2, y2) = (0.8, 0)
Therefore,
m = (0-5)/ (0.8 -0)
m = -5/0.8
we can simplify this as follows-
m = -50/8
m = -25/4
Thus, the slope of the line is -25/4.
Now, we already know that (0, 5) is a point on the line. Thus, the y intercept of the line is 5.
⇒ c = 5
Now, substituting the values in the equation we get-
y = (-25/4)(x) + 5
Thus, the equation of the line in y = mx + c form is y = (-25/4)(x) + 5.
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please fast if could
Answers
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Which fractions are equal to 0.6
1 over 6,60 over 100,1 over 60,6 over 10
Answers
l need help with this pls
Answers
Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Answers
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Solve by the elimination method.8x + 3y = -57- 8x + y = 77Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The solution is(Simplify your answer. Type an ordered pair.)OB. There are infinitely many solutions.O c. There is no solution.
Answers
SOLUTION
\(undefined\)A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answers
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?
Answers
Answer: $16.60
Step-by-step explanation:
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
total: 16.60
The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip $16.60
We have given that,
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.
What is the formula for the total money?Total money=price + tax
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
Total money =16.60
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Please help me out with the below question
Answers
Answer:
A
Step-by-step explanation:
this is only what I know correct me if I'm wrong thank you