Answers
Answer:
C. 2b^3 + b^2 - 2b - 380
Step-by-step explanation:
Factory A: 2b^3 - 3b^2 + b - 120
Factory B: 4b^2 - 3b - 260
Add the polynomials:
2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =
Be careful to combine like terms.
= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260
= 2b^3 + b^2 - 2b - 380
Answer: C. 2b^3 + b^2 - 2b - 380
Related Questions
An insurance company offers two types of insurance: health insurance and life insurance. Let X be the annual claim on the health insurance and Y be the annual claim on the life insurance. The joint density function of X and Y is: Find the probability that the total claims exceed 0.5 but is less than 2 and the claim on the life insurance is less than 1.5.
Answers
The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Probability is 0.59
Step-by-step explanation:
We have
x -- denotes the annual claim health insurance
y -- denotes the annual claim life insurance
And joint density of x and y is given to us
[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]
Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2
and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5
Required probability
= P( 0.5≤ x+y ≤2 ∩ 0 ≤ y ≤ 1.5 )
Lets plot this, to find the common region
For common region
when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5 ---- for region I
when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x ---- for region II
The required probability
= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]
= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]
= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]
= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]
= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]
= 19/32
=0.59
(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =
Answers
Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
what is the answer to 0.15 = y - 0.45
Answers
Answer:
0.6
Step-by-step explanation:
Salvador runs 24.5 miles per week. How many miles does he run each day?
Answers
Answer:
3.5 miles per day
Step-by-step explanation:
There are 7 days in a week
24.5 miles in a week
24.5 / 7 days
3.5 miles per day
Answer:
3.4 miles
Step-by-step explanation:
You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5
In the diagram of circle A, what is the measure of
ZXYZ?
35°
70°
75°
140°
Answers
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The answer is 35 degrees
The measure of <XYZ is 35 degrees
Circle geometryTo find the measure of<XYZ, we will use the expression as shown below:
The angle at the vertex is half the difference of the intercepted arcs
<XYZ = 1/2(175 - 105)
<XYZ = 1/2(70)
<XYZ = 35 degrees
Hence the measure of <XYZ is 35 degrees
Learn more on geometry here: https://brainly.com/question/24375372
SOMEONE HELP PLEASE.............
What is the x-coordinate of the solution of the following system of equations?
3x + y = 6
x - y = 6
A. -3
B. 0
C. 3
Answers
Answer:
(3,-3) or x = 3
Step-by-step explanation:
I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.
The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?
Answers
Answer:
8307 dhdhdhsjs
Step-by-step explanation:
vahahahwhahehe
Answer: 8,307$
Step-by-step explanation:
279$ x 15 = 4185$
229$ x 18 = 4122$
4185$ + 4122$ = 8,307$
A building is 1 ft from a 11-ft fence that surrounds the property. A worker wants to wash a window in the building 14 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need
Answers
Answer:
17.2 feet
Step-by-step explanation:
The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.
We know that the window is 14 feet above ground.
We now have a triangle which we need to find the hypotenuse of.
/|
/ | 14
/_|
10
To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.
The legs are 10 and 14, so lets substitute inside the equation.
[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]
Hope this helped!
A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.
B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.
E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.
Answers
Answer:
The answer is B
Answer:
The answer is B and A
Step-by-step explanation:
Determine the range and injective of the function.
j(x) = -x - 1
Answers
Answer and Step-by-step explanation:
Solution:
Range:
Let f(x) = -x-1
Here a=0 and b= -1, x=-b/a
Put the values, we get
X= - (-1)/0 = infinity
Hence the range of the function f(x) = (-∞, ∞)
Injective:
A function is said to be injective if f(x1) = f(x2), gives x1=x2
Let f(x1) = -x1-1
f(x2) = -x2-1
f(x1) = f(x2)
(x+5)(x-5) Multiplying special case polynomials
Answers
Answer:
x^2 - 25 ✔
Step-by-step explanation:
(x+5)(x-5)
x(x-5) +5(x-5)
x^2 - 5x + 5x - 25
x^2 - 25
1/2x=14
Help please I’ve been stuck on this how do I check it?
Answers
1/2x/(1/2)=14/(1/2)
x=14/(1/2)=14/0.5=28
The answer will be x=28
(03.01)
Factor completely 2x^5 + 10x^4- 22x^3
Answers
Answer:
Step-by-step explanation:
2x^3(x^2 + 5x - 11)
Find the SUM of the first 20 terms in the following sequence.
2, 5, 8...
Answers
Step-by-step explanation:
2+3=5+3=8
2+5+8+11+14+17+20+23+26+29+32+35+38+41+44+47+50+53+56+59=
610
hope it helps!
An entire music store is offering a deal : buy 2 albums and revive a third album for $8.99, another album for $12.95. And a third album for $5.99. How much will joe pay for all 3 albums?
Answers
Step-by-step explanation:
If I'm not wrong it should be 27.93
a what are the odds in favor of drawing a black 7 in a deck of cards?
b. What are the odds against drawing a black 7 in a deck of cards?
Answers
Answer:
a. 1/25
b. 25/1
Step-by-step explanation:
There are 2 black 7s in a deck (7 of spades and 7 of clubs). So there are 50 cards that are not black 7s.
The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.
The odds against drawing a black 7 is therefore 50/2 = 25/1.
Chance left the park traveling 10 mph. Then, 2 hours later, Malik left traveling the same direction at
14 mph. How long until Malik catches up with Chance?
Answers
Answer:
8 hours
Step-by-step explanation:
after 8 hours chance will have traveled 100 miles and malik will have traveled 102 miles.
10 friends share six pizzas equally. What fraction of a pizza does each friend get?
Answers
Answer:
10 friend=6 pizza now,
1 friend gets =10÷6
=5÷3
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.
Answers
Answer:
May I ask why you are you doing this math in college?
Step-by-step explanation:
1. What does the slope represent of a graph? (Definition
of Slope)
help!
Answers
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Step-by-step explanation:
Use the distributive property to fill in the blanks below.
(8 x 5) + (8 x 2) = 8 x (_ + _)
Answers
Examples: (5 + 2) or (3 + 4)
[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]
[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]
[tex]\\ \rm\longmapsto 8(5+2)[/tex]
[tex]\\ \rm\longmapsto 8(7)[/tex]
[tex]\\ \rm\longmapsto 56[/tex]
The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?
Answers
Answer:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that The Booster Club has a goal of raising at least $300.
The Club has already raised $175
The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.
175+3t≥300
One hundred seventy five plus three times t greater than or equal to three hundred.
We have used greater than or equal to in inequality because in data given atleast.
Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
To learn more on Inequality click:
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#SPJ2
Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X =
Answers
Answer:
[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]
You are 8 inches below the balance point height. write an integer that represents your height.
Answers
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
Factorise Fully x^2 + x
Answers
Answer:
X(x+1)
Step-by-step explanation:
If it is wrong I'm sorry.
I NEEF A FAST ANSWED
Answers
Answer:
y value
Step-by-step explanation:
bc it is xiydid5is5is58w
Good luck
what point on a number line repersent sae level
Answers
0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D
Hope this helped
Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories?
Answers
Answer:
this is the answer that i got 1.333333333
Step-by-step explanation:
3200 divided 2400 = 1.333333333
Answer:
Step-by-step explanation:
The square of root of 7/8?
Answers
Answer:
[tex]\frac{\sqrt{14} }{4}[/tex]
is 5x-7+3x and 3x-7+5x equivalent
Answers
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Since both result are the same, hence the functions are equal
Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.
For the function
5x-7+3x
= 5x+ 3x - 7
= 8x - 7
For the function 3x - 7 + 5x
Collect the like terms
3x + 5x - 7
8x - 7
Since both results are the same, hence the functions are equal
Learn more here: https://brainly.com/question/11496139