The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
Given the following functions
f(x) = 2x² + 4x - 5
g(x) = 6x³ – 2x² + 3
In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:
(f – g)(x) = f(x) - g(x)
Substitute the given parameters into the expression
(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)
Expand
(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3
Collect the like terms
(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x -5 -3
(f – g)(x) = - 6x³+ 4x² + 4x - 8
Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8
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Quick I need some help! Simplify to create an equivalent expression. ( photo linked)
Answer:
B. 31r − 71 is the answer!
pls help the question is in the picture
Jollene’s starting balance on her credit card was $89.45, and she made purchases of $254.67 and $109.62 during the month. She also made a payment of $125. If the finance charge is 1.4% per month on the unpaid balance, find the new balance at the end of the month.
$328.74
$453.87
$429.63
$329.99
Answer:
329.99
Step-by-step explanation:
This is the right answer on the test
the sum of a number and its multiplicative inverse is 5 times the number
Answer:
Holii me ayudas a ganar plis
Markup & Markdown
In the questions below, you will be ask about situations involving markups and
markdowns. Anytime your answer deals with money, round to the nearest hundredths place and
include proper unit labels. Be sure to show all of your work for each problem.
1. The managers at the hunting store usually determine their prices by using a markup of 11
percent. If they purchased camo pants for $45 each, what will be the price for their customers?
2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices
each fly for the customers at $3.75, what is the markup percentage?
0.45+100x 11=4.95+45=49.95
50-1008 2.50 = 1.25=50%,
3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If
they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are
using?
Answer:
$49.95 ; 50% ; 33.33%
Step-by-step explanation:
1.)
Markup % = 11%
Purchase price = $45
Selling price will be :
(100 + 11)% * $45
1.11 * $45 = $49.95
2.)
Purchase price = $2.50
Selling price = $3.75
Markup % :
Profit / purchase price * 100%
[(3.75 - 2.50) / 2.50)] * 100%
1.25 / 2.50 * 100%
0.5 * 100% = 50%
3.)
Purchase price = $3.75
Selling price = $5.00
Markup % :
Profit / purchase price * 100%
[(5.00 - 3.75) / 3.75)] * 100%
1.25 / 3.75 * 100%
0.3333 * 100% = 33.33%
Are 2(x - 3) + 1 and 2x + 6 equivalent expressions
Answer:
No.
Step-by-step explanation:
2(x-3) + 1 = 2x - 6 + 1 = 2x - 5
2x + 6 ≠ 2x -5, so no, they aren't equivalent.
The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.
What is Equivalent Expression?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
We have two expressions to compare 2(x- 3) + 1 and 2x +6 .
Now, simplifying the first expression as
= 2(x -3) + 1
= 2x - 6 +1
= 2x - 5
and, the second expression is 2x + 6.
Thus, both of expression are not Equivalent.
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c) 12 x 3 + 9 + (15 - 2) × 3 =
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
Find the slope (y=mx+b)
Answer:
y=7.5x+0 you don't have a b value because your rate starts at 0.
3 examples of proportion in real life ?
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
PLZ help me with this question
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
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Have a great day! <33
1. Si se tienen los eventos:
A. Que la ruleta se detenga en un número menor que cuatro.
B. Que se detenga en un número múltiplo de cuatro.
a) ¿Cuál es la probabilidad del evento A? =
b) ¿Cuál es la probabilidad del evento B? =
c) ¿Qué significa que ocurra A o B?
d) ¿Cuál es la probabilidad de que ocurra A o B?
Answer:
c...........................
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
Multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.write the expression.
Answer:
[tex]0.035 \times 10 {}^{2} [/tex]
0.035 x 10 to the second power
Step
Answer 1 and 2 please.
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
Find the missing base
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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9.3% 1034 What is in scientific notation? 3.1 x 10"
Answer:
Please be more specific?
Step-by-step explanation:
I don't know what you are asking and the way you format the question is quite confusing.
I need help please it will mean a lot
Answer:
The answer is B (2).
Step-by-step explanation:
Answer:
2
you replace the w with 30
30/6=5
then you subtract 3
5-3=2
The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=
Answer:
H = -52t + 6455
Step-by-step explanation:
2014 is 14 years since 2000. That gives you the point (14, 5727).
2017 is 17 years since 2000. That gives you the point (17, 5571).
Since we have two points in the line, we can find the equation of the line.
y = mx + b
m = slope = (difference in y)/(difference in x)
m = (5571 - 5727)/(17 - 14) = -156/3 = -52
y = -52x + b
Now we use one of the points for x and y, and we solve for b.
5727 = -52(14) + b
b = 6455
The equation is
y = -52x + 6455
Using H and t, we have
H = -52t + 6455
The relationship between the number of hospitals and the years, is a linear function.
The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]
Let
[tex]t \to[/tex] years since 2000
[tex]H \to[/tex] number of hospitals since 2000
So, we have:
[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014
[tex](t_2,H_2) = (17,5571)[/tex]
Calculate the slope (m)
[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]
This gives:
[tex]m = \frac{5571 - 5727}{17-14}[/tex]
[tex]m = \frac{-156}{3}[/tex]
[tex]m = -52[/tex]
The linear equation is then calculated using:
[tex]H = m(t - t_1) + H_1[/tex]
So, we have:
[tex]H = -52(t - 14) + 5727[/tex]
[tex]H = -52t + 728 + 5727[/tex]
[tex]H = -52t + 6455[/tex]
Hence, the equation H is: [tex]H = -52t + 6455[/tex]
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A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
960 gallons
Step-by-step explanation:
20 gallons * 48 hous =960 gallons
1920 - 960 =960 gallons.
Simplify completely*****
Answer:
[tex]\displaystyle x - 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide: [tex]\displaystyle x - 3[/tex]Any help? I'm struggling.
Write an explicit equation for each of the following geometric sequences. Then use the equation to find the 15th term.
Answer:
Step-by-step explanation:
a=-7
r=21/-7=-3
[tex]a_{15}=a r^{n-1}=-7(-3)^{15-1}=-7(-3)^{14}=-33480783[/tex]
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
HELP please!!!!!!!!!!
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
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is this graph a function
Answer: yes because it if u plug in x values u get y values
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.