Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3:Solve for the unknown in both equations.
Step 4:Check your answer analytically or graphically.
(3x^2+2-x^3) - (-5x^3+2x^2+1) Express the answer in standard form. Enter your answer in the box.
Answer:
3x³ + x² - 1
Step-by-step explanation:
Step 1: Rewrite expressions
(3x² - 2x³) - (-5x³ + 2x² +1)
Step 2: Distribute negative
3x² - 2x³ + 5x³ - 2x² - 1
Step 3: Combine like terms
3x³ + x² -1
Answer:
[tex]4 {x}^{3} + {x}^{2} + 1[/tex]
solution,
[tex]3 {x}^{2} + 2 - {x}^{3} - ( - 5 {x}^{3} + 2 {x}^{2} + 1) \\ = 3 {x}^{2} + 2 - {x}^{3} + 5 {x}^{3} - 2 {x}^{2} - 1 \\ = 3 {x}^{2} - {2x}^{2} + 2 - 1 - {x}^{3} + 5 {x}^{3} \\ = {x}^{2} + 1 + 4 {x}^{3} \\ = 4 {x}^{3} + {x}^{2} + 1[/tex]
Hope this helps...
Good luck on your assignment..
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
SELECT ALL THAT APPLY
Which equations could you use to solve the following problem?
Seventy-eight is 55% of what number?
1. 78 = (0.55)w
2. p = (0.85)78
3. x/78 = 55/100
4. 78/x = 55/100
Answer:
The answer I THINK was the best is the fourth one !
Step-by-step explanation:
I think because before you calculate, you have To put 78 / with an x because you still don't know what is the number !
And after you have To equal this with 55/100 To know the answer !
I hope i helped you !
Answer:
the first one and last one.
Step-by-step explanation:
i had he same question!!! hope this helps
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
A taxi charges a $2 fee
Multiple choice please help
Answer:
d
Step-by-step explanation:
Let m = number of miles.
Each mile costs $2.35, so m miles cost 2.35m.
The flat fee is $2.
The total cost is
2.35m + 2
He can spend no more than $47, so he can spend $47 or less,
2.35m + 2 <= 47
Answer: d
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
I NEED HELP NOW ASAP
Answer:
5 options : 2 correct options
: 3 wrong options
first answer : 2/5
second answer : 1/5-1
: 1/4
p( choosing correct answer)
= 2/5 × 1/4
= 1/10
Answer:
0.10
Step-by-step explanation:
hello,
there are 5 answers and 2 are correct
I choose a first answer - the probability to be a correct one is 2/5
then now, there are 4 left answers and only 1 left is correct
the probability to choose the correct one is 1/4
so in total the probability to choose the 2 correct answers out of 5 is
[tex]\dfrac{2}{5}*\dfrac{1}{4}=\dfrac{1}{10}[/tex]
which is 0.10
hope this helps
3m = -18
please help!!!
Answer:
m = -6
Step-by-step explanation:
3m = -18 (Divide both sides by 3)
3m/3 = -18/3
m = -6
Answer:
m=-6
Step-by-step explanation:
3m=-18
Divide by 3 on each side.
3m/3=-18/3
m=-6
What is the 48th term of the arithmetic sequence with this explicit formula?
an=-11 + (n - 1)(-3)
O A. -155
B. -141
C. -133
D. -152
SUBMIT
Answer:
D
Step-by-step explanation:
Put n as 48 and solve.
-11 + (48 - 1)(-3)
- 11 + (47)(-3) = -152
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
Answer:
d=6t
Step-by-step explanation:
Divide 72 by 12 to know how much distance is traveled in every second.
So he travels 6 meters every second
Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15
Type the correct answer in the box. Use numerals instead of words.
A car is traveling in a straight line at a speed of 55 miles per hour. How fast is the cart
1 minute = 3,600 seconds
1 mile = 5,280 feet
Express the answer to the correct number of significant figures.
The car is _____traveling
feet per second.
Answer:
1.34 feet/seconds
Step-by-step explanation:
Looking at the above question, we would be converting 55 miles per hour to feet per seconds.
From the above question, we are given the following conversion values
1 minute = 3,600 seconds
1 mile = 5,280 feet
55 miles per hour = 55 mile / 1 hour
So,
If 1 mile = 5,280 feet
55 miles = x feet
We cross Multiply
x = 5,280 × 55
x = 290,400 feet
Hence, 55 miles = 290,400 feet
1 hour = 60 minutes
If 1 minute = 3,600 seconds
60 minutes = x seconds
We cross multiply
x = 60 × 3,600
x = 216,000 seconds.
This means
60 minutes = 216,000 seconds
In other to find out how fast is the car is,
Speed = Distance / Time
Speed = 290,400 feet/216,000 seconds
Speed = 1.3444444444 feet/seconds
To the to the correct number of significant figures, the car is traveling at 1.34 feet per second.
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
What is the 8th term in the binomial expansion of (2x+1)^9?
Answer:
512 x 9 − 2304 x 8 + 4608 x 7 − 5376 x 6 + 4032 x 5 − 2016 x 4 + 672x 3 − 144 x 2 + 18 x − 1
Step-by-step explanation:
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
Find the surface area of the rectangular prism.
7 km
5 km
3 km
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142
Answer:
[tex]142km^{2}[/tex]
Step-by-step explanation:
you need to find the area of every side and then add them all together so
you do the equation
[tex]2[(7*5)+(3*5) + (7*3)][/tex]
I multiply everything by 2 because there is 2 of every side
once you solve this you get the answer of [tex]142km^{2}[/tex]
Evaluate e4 to one decimal place.
Answer:
54.6
Step-by-step explanation:
When we plug e^4 into the calc, we get 54.5982, which we round to get our final answer.
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3). Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answer:
x = 4
Step-by-step explanation:
It is stated that f(x) passes through
(-3, 3), (0, 3), (4, 3)
and g(x) passes through
(-4, -3), (0, 0), (4, 3)
Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.
Answer:
d x =4
Step-by-step explanation:
an arithmetic sequence has this recursive formula:
Answer:
Option D is the correct option.
please see the attached picture for full solution..
Hope it helps...
Good luck on your assignment...
Someone please help
Answer:
A
Step-by-step explanation:
2 cubes horizontal, 3 cubes (down) vertical, 2 cubes horizontal.
Calculate the
portion for walking
in degrees.
[?]°
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
Hrs
5
20
10
5
10
50
10 hrs.
Total Sport Hours
Answer:
110
Step-by-step explanation:
Which weighs more: 16 oz. of soda or a solid pound of gold?
Answer:
Gold weighs more
Step-by-step explanation:
The fact that they both equal 16 oz confirms the fact that gold weighs more. The reason for this is because even if the mass is the same the weight involves the gravitational pull on the earth meaning gold is greater.
1 pound of gold weighs more than 16 ounces of Soda.
We are told that;
Weight of soda = 16 Oz (ounces)
Weight of gold = 1 pound
Now, from conversions between pounds and ounces, 1 pound = 16 oz
Thus means that soda too also has a mass of 1 pound same as Gold.
However, despite the fact that they have the same mass, it doesn't mean they weigh the same because Gold has a gravitational pull which means force of gravity on it from the earth and it means it will weigh more.
Read more at; brainly.in/question/25346071
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?
Answer:
6 minutes more
Step-by-step explanation:
Time = Distance ÷ Speed
Time = 30miles ÷ 60mph
Time = 30mins
Time = 30miles ÷ 50mph
Time = 36mins
36mins - 30mins = 6mins difference
Answer: 6 minutes
Step-by-step explanation:
Time = Distance / speed
When speed is 60 mph
Time = 30/60 = 1/2 hour = 30 minutes
When speed is 50 mph
Time = 30/50 = 3/5 hour = 36 minutes
PLEASE HELP ME ILL MARK AS BRAINLIEST
Answer:
I think that you would divide all the euros by 1.35 to get the pounds
if thats right then the answer should be £2504.07407408
Step-by-step explanation:
i did this by first getting the hotel price (125 euros per night) and timesing that by 14 as they stay for 14 nights, this gives you 1750
then i converted 1750 to pounds by dividing 1750 by 1.35 to get £1296.2962963
next i did the wifi price (6 x 13 = 78, 78 divided by 1.35 = £57.7777777778)
after that i added those two prices together to get £1354.07407408
the final step was to add £1150 so i got £2504.07407408, and that hopefully should be the answer !
hope this works :)
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181