Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x² + 6x – 8.
Use the concept of quadratic function defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
The given functions are:
f(x) = 5x² + 9x – 4
g(x) = – 8x² – 3x – 4
Since (f + g)(x) = f(x) + g(x)
Then put the functions,
(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)
Rearranging like terms,
(f + g)(x) = 5x²– 8x² + 9x – 3x – 4 – 4
Simplifying it,
(f + g)(x) = -3x² + 6x – 8
Hence,
The expression for (f + g)(x) is -3x² + 6x – 8.
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Find the volume of the cube below.
the ratio of hamburgers to hot dogs at the picnic is 25:10. If there are 100 hamburgers how many lunch itemd are there altogether?
Answer:
140 lunch items
Step-by-step explanation:
The unit ratio is 5:2
So if we take that and multiply it by 20 we get 100:40. 100+40 is 140
Answer:
140
Step-by-step explanation:
well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
Answer:
300%
Step-by-step explanation:
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
If down payment is increased from 1000 to 4000
Icecrement = 4000-1000
Increment =3000
Percentage increase = 3000/1000×100
Percentage increase = 3000/10
Percentage increas=300%
Hey guys!!! I forgot how to do this :/ lol
whats 10+4÷2?
Answer:
12
Step-by-step explanation:
Three times Francis' age plus five times Earl's age is 230. Earl is also four times Francis age. How old is Earl?
Answer:
E = 40 years
Step-by-step explanation:
Let the age of Francis be F.
Let the age of Earl be E.
Translating the word problem into an algebraic expression, we have;
3F + 5E = 230 ......equation 1
E = 4F .......equation 2
To find the value of F;
Substituting eqn 2 into eqn 1, we have
3F + 5(4F) = 230
3F + 20F = 230
23F = 230
F = 230/23
F = 10 years
Now, to find the value of E;
From eqn 2;
E = 4F
Substituting the value of "F" we have;
E = 4*10
E = 40 years
Therefore, Earl is 40 years old.
.HELP!!!!!...............
Answer:
132 yards
because its a hexagon so all sides are the same, meaning you do 22×6 = 132
Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?
835.71$
Step-by-step explanation:
is the answer just done it
Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?
Answer:
6/8>7/12
Step-by-step explanation:
6/8>7/12
36/48>28/48
I think
Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared
Answer:
its actually 65
Step-by-step explanation:
someone please help me im timed
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.
Answer:
his salary per game is 669,643
Step-by-step explanation:
The computation of the salary per game in the year 2009 is shown below
Given that
His salary in the year 2009 is 18,750,000
And, he pitched 28 games in the year 2009
Based on the above information
His salary per game is
= 18,750,000 ÷ 28 games
= 669,643
hence, his salary per game is 669,643
The same is relevant
Please help will give brainliest!
Answer:
Yes, Yes, No, Yes.
Step-by-step explanation:
2/5 as a decimal = 0.4
4 ÷ 0.4 = 10
1 is correct.
2 x 10 = 20
2 is correct.
6 x 10 = 60
3 is incorrect.
10 ÷ 2 = 5
4 is correct.
Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?
The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.
9514 1404 393
Answer:
196361165Step-by-step explanation:
The original side length is 14 m, so the area is (14 m)² = 196 m².
The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².
The increase in area is ...
361 m² -196 m² = 165 m²
The area increases from 196 m² to 361 m², which is an increase of 165 m².
Answer:
The areas from 196 m² to 361 m², which is an increase of
165 m²
Please help ASAP
Please help
No links please
Answer:
base = 3 units
height = 5 units
area = 1/2 x 3 x 5 = 7.5 square units
Answer:
[tex]b[/tex] = 3 units
[tex]h[/tex] = 5 units
[tex]a[/tex] = 7.5 units
Step-by-step explanation:
We can find the base of the figure by counting the number of units from the left to the right of the triangle. So, we can find that the base is 3 units.
The height of the figure can be found by counting how many units the figure measures from the tip to the bottom. The height, then, is 5 units.
The easiest way to find the area of a right triangle is to imagine it as a rectangle, with the same [tex]l[/tex] (length) and [tex]w[/tex] (width) dimensions, and then divide the area of the rectangle by two.
So, to find the area of this rectangle, multiply the length and width, 3 and 5, together.
3 · 5 = 15
Then, we can divide this product by two.
[tex]\frac{15}{2}[/tex] = 7.5
The area is 7.5 units².
Hope this helped :] Good luck!
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!
Answer: 72
Step-by-step explanation:
Set it up as a ratio
[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]
Help pleaseee! Whats the answer
Answer:
The answer is 16 for the blue dot
I'm think it's 16
Step-by-step explanation:
This is because it seems that it jumps from 0 to 4. So you add four to the number 4...
Please help me PLEASE
Answer:
the answer would be Point F
Answer:
The answer is F
Step-by-step explanation:
Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle
Answer:
Step-by-step explanation: A=wl=7·11=77
Answer:
75 sq ft i think
Step-by-step explanation:
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
12.
The Mills Library has 1,007,199 books. The Springvale Library
has 907,082 books. Which of the following is the best
estimate of how many more books the Mills Library has than
the Springvale Library?
A.
100,000 books
B.
80,000 books
C.
10,000 books
D.
8,000 books
E.
1,000 books
5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here
Answer:
A
Step-by-step explanation:
5x=10.5
x=2.1
please help me as fast as possible
Answer:
Skewed Right
Step-by-step explanation:
Help help help help help help
Answer:
More than for the first box and less than for the second.
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
After 1 year, $1,000 deposited in a savings account with simple interest had earned $30 in interest. What was the interest rate?
Answer:
3%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
30 = (1000)(R)(1)
30 = 1000R
R = 0.03
Multiply by 100 to get the percentage of 3%
Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.
Answer:
f(x)=39.59 (1.09)
Use the model to predict the home’s value.
After 12 years, the home’s value will be about $
111 thousand.
After 35 years, the home’s value will be about $
808 thousand.
Step-by-step explanation:
Edge 2021 :)
A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A general exponential equation is given as,
y = A(1+b)ˣ
Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,
38.9 = A(1+b)ˣ
A = 38.9
Therefore, the equation can now be written as,
y = 38.9(1+b)ˣ
Substitute the second point in the equation,
y = 38.9(1+b)ˣ
62.4 = 38.9(1+b)⁵
1.604113 = (1+b)⁵
1+b = 1.09912
b= 0.09
Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.
B.) Now the value of the house after 12 years,
y=38.9(1.09)ˣ
y=38.9(1.09)¹²
y = 109.41
The home’s value will be about $ 109.41 thousand.
C.) After 35 years, the home’s value will be,
y=38.9(1.09)ˣ
y=38.9(1.09)¹⁰⁰
y = 215.079.68
After 35 years, the home’s value will be about $215.079.68 thousand.
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Evaluate the polynomial for x = -2.
x² - 9x+7
Answer:
Hi! The answer to your question is [tex]29[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
How many faces does the solid made from the net below have?
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6