Answer:
Option 3 is not true for f(x) and g(x).
The incorrect statement will be;
⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The function are,
⇒ f(x) = 2x² + x - 3
And , g(x) = 2x³ + 3x² - 2x - 3
Now,
Since, The function are,
⇒ f(x) = 2x² + x - 3
And , g(x) = 2x³ + 3x² - 2x - 3
Hence, We get;
⇒ f (x) + g(x) = 2x² + x - 3 + 2x³ + 3x² - 2x - 3
= 2x³ + 5x² - x - 6
⇒ g (x) - f (x) = (2x³ + 3x² - 2x - 3) - (2x² + x - 3)
= 2x³ + 3x² - 2x - 3 - 2x² - x + 3
= 2x³ + x² - 3x
⇒ f (x) × g(x) = (2x² + x - 3) (2x³ + 3x² - 2x - 3)
= 4x⁵ + 6x⁴ - 4x³ - 6x² + 2x⁴ + 3x³ - 2x² - 3x - 6x³ - 9x² + 6x +9
= 4x⁵ + 8x⁴ - 7x³ - 17x² + 3x + 9
Thus, The incorrect statement is,
⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9
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Plz help Major grade 6th grade
Answer:
A. 300h = 900
Step-by-step explanation:
V = lwh
900 = (25)(12)h
900 = 300h
300h = 900
Im giving brainliest
Answer:
> there you go
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches
Answer:
20
Step-by-step explanation:
length x width = area
4 x 5 = 20
(not 100% sure, but I hope this helps)
Can you help me please thank you
On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?
Answer:
40%Step-by-step explanation:
Initial number of hours = 5Increased number of hours = 7Change:
7 - 5 = 2Percent change:
2/5*100% = 40%I need help with this math promblem will anybody help me
Answer:
d = 83
Step-by-step explanation:
Answer:
d=83°
Step-by-step explanation:
the sum of the inner angles is equal to 360°
so
127+67+d+d=360
194+2d=360
2d=166
d=83°
Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
During a professional baseball game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose twenty people to march in the victory parade. What is the sample in this situation?
Answer:
The sample is the amount of people because not everyone is getting chosen
Step-by-step explanation:
I also agree, the coach choose certain people to march cuz not everyone is gonna be able to get used.
plssss help
answer it plssssssssss
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Find the area of the shaded region.
Answer:
69.53 ft
Step-by-step explanation:
area of a box: 18*18 = 324
area of a circle: (pi)*9^2 = 254.47
324-254.47 = 69.53 ft
Calculate the mean, median, and range of the data in the dot plot.
Answer:
median = 5
range = 2
mean = 11
Step-by-step explanation:
y = -9x Proportional or Non Proportional
ATHEMATICS CURRICULUM
Lesson 3 Homework
time Zachary starts playing with his action figures.
the start playing with his action figures?
Start
1
12
11
1
31
10
on figures for 23 minutes.
Ish playing?
Finish
Answer:
guru gossip and you can you invite me to the heading
At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (ANSWER A AND B PLEASEEEEEEE I REALLY NEED HELP!!!!)
A). If 8 pizzas were bought, how many sodas were bought?
B). How much was the total money would be spent on the pizza and sodas from (A)?
THANK YOU SOOOOO MUCH!!!! :))))))
Answer:
61
Step-by-step explanation:
Givens
Let the pizzas = x
Let the sodas = y
Equation
y = 3x + 2
Part A
y = 3*8 + 2
y = 24 + 2
y = 26
Part B
Sodas = 26* 1.25 = 32.50
Pizzas =9.50 * 3 = 28.50
Total for both = 32.50 + 28.50 = 61
ht
Which of the following is an equivalent expression to the expressione,
А
B
D
ANSWER QUICK PLZ
Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer
Answer:
1)
Triangle formula:
A = 1/2bh
A = 1/2(3)(5.9)
A = 8.85
2)
Parallelogram Area:
A = bh
A = (8.9)(6)
A = 53.4
a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?
The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
What are a cone and a cylinder?The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.
A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.
It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-
The lateral area of the cone = πr√(h²+r²)
The lateral area of the cylinder = 2πrh
The ratio will be calculated as:-
R = πr√(h²+r²) / 2πrh
R = √(h²+r²) / 2h
Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
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at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost
Answer:
21 packs of gatorade would cost $36.88.
Step-by-step explanation:
Mathematically:
8.78 / 5 = 1.756
1.756 * 21 = 36.876 ~= $36.88
please help!!!!! simplify
Answer:
Pretty sure it's B
Step-by-step explanation:
Can someone please help me no links please
Answer:
x=6
Step-by-step explanation:
3x- 4=14
+4 +4
3x=18
x=6
8 ft
Find the area of the figure.
Answer:
Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.
Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?
Answer:
1.41 kilograms
Step-by-step explanation:
Given data
290-gram bag of gummy worms
450-gram bag of sour keys
670-gram bag of chocolate-covered almonds
In all, she bought
=290+450+670
=1410grams of candy
Now let us convert from grams to kilograms
1000grams is equal to 1 kilogram
hence 1410 grams will be x
cross multiply
1000x= 1410
x= 1410/1000
x= 1.41 kilograms
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.
Answer: 60% would like another color
Step-by-step explanation:
Find the slope of the line
Answer:
-5/4 is the slope of the line.
Convert 42 to a base two
numeral
what is the solution to the inequality of x+2<5
Answer:
Any number below 3
(2, negative infinity)
Answer:
here's the answer with steps
x + 2 < 5
-2 -2
x < 3
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
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Convert: 76 ounces = _____ pounds _____ ounces
Answer:
4 pounds 12 ounces
Step-by-step explanation:
there are 16 ounces in 1 pound so 76/16 = 4.75 and .75 is equal to 12 ounces.
76 ounces is equal to 4 pounds and 12 ounces.
To convert 76 ounces to pounds and ounces, we need to consider that 1 pound is equal to 16 ounces.
Here's how to proceed:
Divide the total number of ounces by 16 to find the number of pounds:
76 ounces ÷ 16 ounces/pound = 4.75 pounds
Since 4 pounds = 4 x 16 pounce/ pound
= 64 ounces ,we subtract this amount from the total of 76 ounces to determine the remaining ounces:
= 76 ounces - 64 ounces
= 12 ounces
Therefore, 76 ounces is equal to 4 pounds and 12 ounces.
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At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.
Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
Find the value of x. Also with explanation please
Answer:
x+90°+130°=360°
x+220°=360°
x=360°-220°
x=140°