Answers
Take half of 2 to get 2/2 = 1
Square 1 to get 1^2 = 1
Add and subtract 1 to the expression. This is the same as adding 0.
x^2 + 2x + 2
x^2 + 2x + 2 + 0
x^2 + 2x + 2 + (1-1)
(x^2 + 2x + 1) + 2 - 1
(x+1)^2 + 1
Answer: (x+1)^2 + 1
Related Questions
What is the product (2x-1)(x+4)
Answers
Do the foil method: FOIL, First Outside Inside Last
2x² +8x - 1x -4
2x² + 7x - 4 is your answer
hope this helps
Suppose that you only have liability and comprehensive car insurance and you allow your roommate (who doesn't have car insurance) to drive your car to run an errand. What will likely happen if there is a single-car accident causing moderate damage to your car while your roommate is driving?
Answers
Permisive use also also allows you to allow your friends or family members who don’t live with you to use your car.
Permissive use means that if you give another driver permission to take your car, they will be covered by your car’s insurance coverage.
So if you allow your roommate (who doesn't have car insurance) to drive your car to run an errand.
What will likely happen if there is a single-car accident causing moderate damage to your car while your roommate is driving is that the insurance of your car will cover such accident.
The expression that represents the area of this triangle is x2 + x + cm2.
Answers
1.) 4 2.) 22 3.) -12
Answer:
Step-by-step explanation:
A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 5050 states. what is the probability that she selects the route of fourfour specific capitals? is it practical to list all of the different possible routes in order to select the one that is best?
Answers
Given that A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by
[tex] ^{50}P_4= \frac{50!}{(50-4)!} = \frac{50!}{46!} =50\times49\times48\times47=5,527,200[/tex]
Therefore, the probability that she selects the route of four specific capitals is [tex] \frac{1}{5,527,200} [/tex]
Part B:
The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.
Therefore, "No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."
The probability of the presidential candidate selecting a specific route of four capitals is approximately 0.00575. It is not practical to list all the different possible routes to select the best one.
Explanation:To find the probability that the presidential candidate selects a specific route of four capitals, we need to calculate the number of possible routes and divide it by the total number of routes. Since there are 44 capitals and we need to select 4, we can use the combination formula.
The number of possible routes is given by C(44,4) which is equal to 44!/(4!(44-4)!) = 44!/(4!40!) = (44*43*42*41)/(4*3*2*1) = 91,390.
The total number of routes is 50P44, which is equal to 50!/6! = (50*49*48*47...*7*6!)/(6!) = (50*49*48*47...*7) = 15,890,700.
Therefore, the probability of selecting the specific route of four capitals is 91,390/15,890,700 = 0.00575 (rounded to 5 decimal places). This means that there is a very low probability of selecting this specific route.
It is not practical to list all of the different possible routes in order to select the best one, as there are over 15 million routes. Instead, the candidate may use other criteria such as population density, political demographics, or strategic considerations to determine the best route.
a plumber needs to replace 20 feet of copper piping. When he gets to the supply store, the lengths are given in meters. How many meters of piping does he need to purchase
Answers
What is the period, in seconds, of a simple pendulum of length 2 meters? Use the gravitational constant g = 9.8 m/s^2 and round your answer to two decimal places.
Answers
Answer:
The period, in seconds to two decimal places is, 2.84 sec
Step-by-step explanation:
Using formula:
[tex]T = 2 \pi \sqrt{\frac{l}{g}}[/tex] ......[1]
where
T represents the Time period in second
l represents the length of the pendulum/
As per the statement:
Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and [tex]\pi = 3.14[/tex]
Substitute the given values we have;
[tex]T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}[/tex]
⇒[tex]T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512[/tex]
Therefore, the period, in seconds to two decimal places is, 2.84 sec
Answer:
2.84 seconds
Step-by-step explanation:
Which of the following proportions is false?
10/25=40/100
18/48=20/50
25/45=75/135
24/30=20/25
Answers
Lets start with A!
What you first want to do is cross multiply so...
10 * 100 = 25 * 40
Simplify
1000 = 25 * 40
1000 = 1000
Add -1000 to both sides
1000 - 1000 = 1000 - 1000
0 = 0. (This proportion is true)
Moving on to B
Same steps!
18 * 50 = 48 * 20
900 = 48 * 20
900 = 960 (This is false therefore B is our answer however we want to check the others as well)
C is...
25 * 135 = 45 * 75
3375 = 45 * 75
3375 = 3375
3375 - 3375 = 3375 - 3375
0 = 0 (True)
D is....
24 * 25 = 30 * 20
600 = 30 * 20
600 = 600
600 - 600 = 600 - 600
0 = 0 (True)
Find the discount price for a cell phone that is on sale for 15% off if the original price is $75? $60.00 $63.75 $64.25 $86.25
Answers
Since the discount is 15%, the sale price will be 100% - 15% of the original price. 100% - 15% = 85%
Find 85% of the original price,
85% of $75 =
= 85% * $75
= 0.85 * $75
= $63.75
70-11.25= $63.75
Your final answer is $63.75
FIFTHEEN POINTS BC I NEED THIS ASAP =
Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?
Answers
The frequency (F) and length (L) of a wave are related by the following formula: F x L = 3.0 x 10^10. Consider that the wavelength of violet light is 1.3 x 10^−8. What is the frequency of violet light?
A) 1.7 x 102
B) 2.3 x 102
C) 2.3 x 1018
D) 4.3 x 107
Answers
Answer:
B: 2.3 x 10^18
expination:
Substitute values into the formula.
F x L = 3.0 x 10*10
F x 1.3 x 10^−8 = 3.0 x 10^10
F = 3.0 x 10^10 1.3 x 10^−8 F = 2.3 x 10^18
I think it is the 2nd one.
What polynomial identity should be used to prove that 117 = 125 − 8?
Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes
Answers
125 = 5^3
8 = 2^3
125 - 8 = 5^3 - 2^3
Write an equation in slope-point form, of the line through point j(4,1). with slope -4.
Answers
The length of a rectangle is 5 yd longer than its width. if the perimeter of the rectangle is 46 yd , find its area.
Answers
The area of the rectangle is 126 square yards.
Solving the area and perimeter of a rectangle.
The area of a rectangle is the multiplication of the length and the width. The perimeter of the rectangle is calculated by using the formula perimeter = 2(length × width).
Let the Length be (L) and the width be (w).
Length = w + 5Width = wPerimeter = 2 (length + width)
Perimeter = 2 ((w+5) +w)
Perimeter = 2w + 10 + 2w
Perimeter = 4w + 10
Since Perimeter = 46 yd, then:
46 = 4w + 10
4w = 36
w = 36/4
w = 9 yards
Length = 9 + 5 = 14 yards
The area of the rectangle is:
Area = length × width
Area = 14 yd × 9 yd
Area = 126 yd²
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six sisters
Answers
a) if the two gloves someone receives might both be for the left hand or right hand.
b) if each sister gets one left and one right.
Soln:
a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:
C(12, 2)
then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:
6!6!
and taking the product of this would give me the amount of ways this could occur:
= C(12,2) * 6!
then for part b)
using this same idea except:
C(6,1) C(6,1) for the left and right glove each .
the C(6,1)*C(6,1)*6!
Right way to think them through?
If the product of the slopes of two lines equals -1, then the lines ___________.
a. are the same
Answers
Ava works at a florist shop. She earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.Write a formula that will help Ava determine how much money she will earn in one week. a=total amount earned h=hours worked in one week n= number of bouquets arranged b=bonus amount for each bouquet
Answers
h - hours worked in one week;
n - number of bouquets arranged;
b - bonus amount for each bouquet.
Formula is :
a = 7.50 h + n b
Answer:
a = $7.50h+(n×b)
Step-by-step explanation:
Ava works at a florist shop. She earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
To determine her earnings in one week the equation will be
a = $7.50h+(n×b)
where a = total amount earned
h = hours worked in one week
n = numbers of bouquets arranged
b = bonus amount for each bouquet
what statement describes the function f(x)=|x^4-x^3|
Answers
did u ever get the answer for this
The given function f(x) = |[tex]x^{4}[/tex] - x³| is Option A. neither even nor odd because substituting -x changes the form of the function inside the absolute value. Thus, the function does not meet the criteria for either even or odd functions.
To determine if the function f(x) = |[tex]x^{4}[/tex] - x³| is even, odd, or neither, we need to check how it behaves under the transformation x -> -x.
An even function satisfies the property f(-x) = f(x) for all x, while an odd function satisfies f(-x) = -f(x) for all x.
First, let's consider the inside of the absolute value:
If we replace x with -x, we get: f(-x) = |[tex]-x^{4}[/tex] - (-x)³| = |[tex]x^{4}[/tex] + x³|.
We see that the expression has changed, since |[tex]x^{4}[/tex] - x³| is different from |[tex]x^{4}[/tex] + x³| . Therefore, f(x) does not exhibit the properties of being either even or odd.
This means the correct answer is:
Option A. The function is neither even nor odd.
Complete question:
Which statement describes the function f(x) = the absolute value of x^4 - x^3?
A. The function is neither even nor odd.
B. The function is both even and odd.
C. The function is even.
D. The function is odd.
I don't get this someone help me
Answers
(7 + 3i) + (-8 + 9i)
7 + 3i - 8 + 9i
(7 - 8) + (3i + 9i)
-1 + 12i
Answer is choice A) -1+12i
Why do astronomers say that the sun rotates once every 27 to 31 days, rather than give an exact number?
Answers
Astronomers provide a range for the Sun's rotation period due to differential rotation, with varying speeds at different latitudes.
This question demands basic understanding of planetaty motion i.e rotation and revolution in general and about motion of sun in particular
Astronomers say that the Sun rotates once every 27 to 31 days because of the phenomenon known as differential rotation. This means that the speed of rotation of the Sun varies based on its latitude.
The rotation period of the Sun is about 25 days at the equator, 28 days at latitude 40°, and 36 days at latitude 80°. Due to this variable rotation speed, astronomers provide a range rather than an exact number for the Sun's rotation period.
porfavor me pueden decir Cuanto es 2x2
Answers
Si es 2x^2, ya esta en forma simplificada, y no hay mas que le puedes hacer.
Si es 2 por 2, la respuesta es 4.
Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will megan and connor have saved the same amount
Answers
The difference between saves is 7,75-5,5=2,25 $
After how many weeks will Megan and Connor saved the same amount ?
31,5:2,25=14
The answer is : after 14 weeks
Connor and Megan are separated by 50-18,5=31,5 dollars. 7,75-5,5=2,25 $ is the difference between the two saves. To save the same amount, it will take them 14 weeks.
What exactly do you mean by an equation system?Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system).
The number of equations must match the number of unknowns for a system to have a singular solution.
What function does an equation system serve?When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve applications.
Generally speaking, if there are n unknowns, we require n equations set up in those unknowns.
How long will it take Megan and Connor to save the same amount of money?The number of weeks, x,
To help Megan, we have:
50+5.5x
We have these for Connor:
18.5+7.75x
For both to possess an equal sum:
50+5.5x=18.5+7.75x
How to find x?
2.25x=31.5
X=31.52.25=14.
Hence we have to save the same amount, it will take them 14 weeks.
Learn more about the system of equations here:
https://brainly.com/question/25976025.
#SPJ2.
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan?
Answers
Answer:
The total loan payment is:is $1,024,050
Step-by-step explanation:
To know the total cost of this loan we must sum the the purchasing the mortgage loan LM and the PMI:
L=LM+PMI
The 30-year mortgage loan of $205,000 at 5.5% interest rate can be calculated as:
LM=$205,000*(1+0.055)^30
LM=$205,000*4.984 = $1,021,710
Then for the PMI over 24 months:
PMI: $97.5* 24 = $2,340
Therefore the total loan payment is:
L= $1,021,710 + $2,340 = $1,024,050
Please help me with this question!!
Answers
Two acute angles added could never equal 180
Hope this helps!
If jimmy as three balls and gives away one and if earl gives jimmy fifteen balls and jimmy loses seven. how many balls does he have?
Answers
3-1=2+15=17-7=10
Answer: Jimmy has 10 balls .
Step-by-step explanation:
Since we have given that
Number of balls Jimmy has = 3
Number of lost balls = 1
Remaining balls Jimmy has = 3-1=2
Number of balls Earl gives to Jimmy = 15
Now,
Total Number of balls Jimmy has = 15+2=17
Again,
Number of balls Jimmy lost = 7
So,
Remaining balls Jimmy has = 17-7=10
So, he has 10 balls at last .
What is this equation in slope-intercept form? -3x-2y=30
Answers
I hope this helps :)
Please help!
A circle has center O(−3, 1) and radius 10. Which of the following points is on the circle?
V(−3, −4)
X(5, −2)
Y(−6, 0)
Z(5, 7)
Answers
this equation is a derivative of the equation of a circle
x^2 + y^2 = r^2
This is from the origin. If we move the in x or y then the radius will change positions in x or y
with h = -3 and k = 1
we can plug in each set of numbers and solve.
we find Z to be on the circle edge!
what is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
y= -3.5x+57.5
y= 3.5x+57.5
y= -3.5+32.5
y= -3x+57.5
Answers
answer = y = -3.5x - + 57.5
Answer: The correct option is
(A) [tex]y=-3.5x+57.5.[/tex]
Step-by-step explanation: We are given to find the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
From the table and the scatter plot sown in the figure, we note that
the two points that are closest to the line are (5, 40) and (15, 5).
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line will be
[tex]m=\dfrac{5-40}{15-5}=-\dfrac{35}{10}=-3.5.[/tex]
Since the point (5, 40) is very close to the line, so its equation will be
[tex]y-40=m(x-5)\\\\\Rightarrow y-40=-3.5(x-5)\\\\\Rightarrow y=-3.5x+17.5+40\\\\\Rightarrow y=-3.5x+57.5.[/tex]
Thus, the required equation for the linear model is [tex]y=-3.5x+57.5.[/tex]
Option (A) is CORRECT.
Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 204204 cm. a passenger wants to take a box of the maximum allowable volume. if the length and width are to be equal, what should the dimensions of the box be?
Answers
How many slices of pizza will ashley buy if the price is 1.00?
Answers
4 slices of pizza (gradpoint)
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.
Answers
then the number is 1/2y-3. hope this was helpful.
Answer:a and e
Step-by-step explanation:
Got it right