(x²+x+1)+(-2x² 3x+5)
Step one: (((x2)+x)+1)+((0-(2x23•x))+5)
Step two: Check for a perfect cube. 2.1 -2x24+x2+x+6 is not a perfect cube.
2.2 Factoring: -2x24+x2+x+6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x+6
Group 2: -2x24+x2
Pull out from each group separately :
Group 1: (x+6) • (1)
Group 2: (2x22-1) • (-x2)
The groups have no common factor and can not be added up to form a multiplication.
So the answer would be, -2 (x24) + (x2) ++ 6.
does anyone think they can explain how to do this?
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The triangles are not drawn to scale.
8
64
T
32
200
19
S
R
16
O ASRQ - AVTU: SAS.
O AQRS - AVTU; SAS.
O ARSQ - AVUT:ASA.
The triangles are not similar
Answer:
Step-by-step explanation:
ΔSRQ and ΔVTU are similar Triangle.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, ΔRQS and ΔVUT such that,
RS = 16, QR= 64 and VT = 8, UT = 32
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
From the above condition since,
∠R = ∠T
and
[tex]\frac{QR}{SR} = \frac{UT}{VT} = \frac{4}{1}[/tex]
Thus,
ΔSRQ and ΔVTU are similar from the congruency property of SAS.
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Terry’s investment of
$2,200 in the stock market earned
$528 in two years. Find the simple
interest rate for this investment.
Please hurry What is the measure of LABD? a:51° b:39° c:49° d: 141°
Answer: Angle ABD is 39°
Step-by-step explanation:
Angle CBA is 90° (given by "box" on the corner of the right triangle)
Angle CBD is given as 51°
Subtract:
90° - 51° = 39°
PLEASE HELP!! Four fair coins are flipped and the number of heads that land face up are counted. The probability distribution of the number
of heads face up is shown below. What is the probability that more than one coin lands heads up?
T
1 2
3
4
P(T)
0.0625 0.25 0.375 0.25 0.0625
O 0.6875
O 0.3125
O 0.375
O 0.25
The probability that more than one coin lands heads up is 0.9375.
What is a binomial distribution in probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability.
The binomial probability is [tex]^nC_xp^xq^{n-x}[/tex].
Given, Four fair coins are flipped and the number of heads that land face up are counted.
Let, 'p' be the probability of getting a head and 'q' be the probability of getting a tail,
So, p = 1/2 and q= 1/2.
Therefore, The probability that more than one coin lands heads up is,
P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 3).
P(X ≥ 1) = [tex]^4C_1p^1q^3 + ^4C_2p^2q^2 + ^4C_3p^3q^1 + ^4C_4p^4q^0[/tex].
P(X ≥ 1) = [tex]^4C_1(1/2)^1(1/2)^3 + ^4C_2(1/2)^2(1/2)^2 + ^4C_3(1/2)^3(1/2)^1 + ^4C_4(1/2)^4(1/2)^0[/tex].
P(X ≥ 1) = 4(0.5×0.125) + 6(0.25×0.25) + 4(0.125×0.5) + 1(0.0625).
P(X ≥ 1) = 0.25 + 0.375 + 0.25 + 0.0625.
P(X ≥ 1) = 0.9375.
So, The probability of getting one or more heads is 0.9375.
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PLEASE HELP ME WILL GIVE BRAINLIEST TO THE RIGHT ANSWER HELP ASAP!!!!!
Using the new scale and starting from the origin, where will point A be?
Answer:
A will be at 6,6
Step-by-step explanation:
I think this because the graph is the same so it most likely will be the at the same position. Hope this is right !
I WILL GIVE BRAINLIEST The toll on a bridge is $1.00 for cars and $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Write an equation that represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
Answer:
The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Equation :---
[tex]\boxed{c + 2.5t = 105}[/tex]
Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.
paul makes 6 stacks of cans on a shelf in his kitchen he puts 2 cans in each stack which equation and answer show the total number of cans
Answer:
there are 12 cans
Step-by-step explanation:
6 x 2 =12
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain.
Answer:
I need a picture or something else to give answer
Step-by-step explanation:
Four tomatoes and eight avocados cost $10. Six tomatoes and fourteen avocados cost $17.
Part A: Determine the price for a single tomato and a single avocado.
Part B: Analyze your results to determine if they are feasible.
Answer:
(a)
A single avocado costs $1
A single tomato costs $0.5
(b)
An avocado costs twice as much as a tomato
Step-by-step explanation:
Represent the tomatoes with T and the avocados with A.
So, we have:
[tex]4T + 8A = 10[/tex] --- (1)
[tex]6T + 14A = 17[/tex] --- (2)
Solving (a): The price of each
Multiply (1) by 1.5
[tex]1.5(4T + 8A = 10)[/tex]
[tex]6T + 12A = 15[/tex] --- (3)
Subtract (3) from (2)
[tex](6T + 14A = 17) - (6T + 12A = 15)[/tex]
[tex]6T - 6T + 14A - 12A = 17 - 15[/tex]
[tex]14A - 12A = 17 - 15[/tex]
[tex]2A = 2[/tex]
Divide both sides by 2
[tex]A = 1[/tex]
Substitute 1 for A in (1)
[tex]4T + 8A = 10[/tex]
[tex]4T + 8(1) = 10[/tex]
[tex]4T + 8 = 10[/tex]
Make 4T the subject
[tex]4T = 10 - 8[/tex]
[tex]4T = 2[/tex]
Divide both sides by 4
[tex]T = \frac{2}{4}[/tex]
[tex]T = 0.5[/tex]
Solving (b): Analysis
In (a), we have:
[tex]T = 0.5[/tex]
[tex]A = 1[/tex]
We can say that an avocado costs twice as much as a tomato
what is the total if your tip is 20% and your subtotal is 7.47
Answer:
$8.96
Step-by-step explanation:
To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47
(7.47×0.20=1.494)
Add $1.49 to $7.47
(1.49+7.47=8.96)
And there is your total amount with a 20% tip!
$8.96
PLEASE HELP!!!!!!!!!!!!
Answer: Numbers of servings: 10 and 13, Liters of punch: 14
Step-by-step explanation:
Number of servings - 6 = Liters of punch.
Arrange the following set of decimal numbers.
1.Least to Greatest-
6.134 , 8.015 , 3.98
2.Greatest to Least-
0.541 , 0.314 , 0521
3.Greatest to Least-
19.6 , 19.006 , 19.06
4.Least to Greatest-
714.4 , 0.7134 , 7.134
5.Greatest to Least-
509.107 , 590.817 , 5,190.18
Answer:
1. 3.98 , 6.134 , 8.0152. 0.541 , 0.521 , 0.3143. 19.006 , 19.06 , 19.64. 0.7134 , 7.134 , 714.45. 590.817 , 5,190.18 , 509.107Step-by-step explanation:
I HOPE IT HELPS :)
The square of the sum of
8 and 7 is
Answer:
225
Step-by-step explanation:
8+7=15
15*15=225
Answer:
225
Step-by-step explanation:
8 + 7 = 15
15² = 225
hope this helps...
Michael has7 dimes in his pocket how much money does Michael have ( make sure your answer has a unit)
Answer:
70 units
Step-by-step explanation:
Alice is buying a house with 625K. She is making 20% deposit. And get a mortgage on the balance.A bank offers her two options.
1) 30 year term, fixed interest rate 4%.
2) Pay $10,000 upfront fee to buy down the rate. Still 30 year term, but at 3.75%
Explain your reason.
Answer:
By opting for the second option, Alice would save $ 15,740.00 in total mortgage cost
Step-by-step explanation:
In order to determine the better of the two options available, we need to determine the total cost under each option as follows:
Option 1:
cost of house=$625,000
loan amount=$625,000-(20%*$625,000)=$500,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=4%/12=0.33333333%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.33333333% )^-360/0.33333333%
500,000=monthly payment*(1-0.301795869 )/0.003333333
500,000=monthly payment*0.698204131 /0.003333333
monthly payment=500,000*0.003333333 /0.698204131
monthly payment=$ 2,387.08
total monthly payments=$ 2,387.08*360=$859,348.80
Option 2:
upfront fee=$10,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=3.75%/12=0.3125%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.3125% )^-360/0.3125%
500,000=monthly payment*(1-0.325222459 )/0.003125
500,000=monthly payment*0.674777541 /0.003125
monthly payment=500,000*0.003125 /0.674777541=$2,315.58
Total cost=total monthly payments+upfromt fee
total cost=($2,315.58 *360)+$10,000=$843,608.80
savings by opting for the second option=$859,348.80-$843,608.80
Evaluate each expression.
24 : (-15 + 13-8-07- -6 x -5 - -10)
options
-2
22
10
8
Can someone Help pls!!!
Answer:
{0, infinity)
Step-by-step explanation:
range is always the y coords
4x + 20=? it’s hard and i’m confused
Answer:
4(x+5) I
Step-by-step explanation:
Answer:
[tex]x = -5[/tex]
Step-by-step explanation:
This is for if you are trying to solve for x. If that is not your goal, do not heed my words.
Subtract 20 from both sides.
[tex]4x + 20 = ?[/tex]
becomes
[tex]4x = -20[/tex]
Divide both sides by 4.
[tex]4x = -20[/tex]
becomes
[tex]x = -5[/tex]
And that's how you'd solve for x.
how far is the dog to the bird?
Answer:
96 feet squared
Step-by-step explanation:
to find the triangles area you would have to multiply 16 times 12 which would get you 192 then you would have to divide it by 2. Therefore the answer is 96.
I need help with this
Answer:
Step-by-step explanation:
((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<
Multiply both sides by 4, because there are 4 quarters in 1 hour
(4)(.5) = (.25)(4)
2 miles =1 hr
Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour
(3)(.5) = (3)(.25)
1.5 miles = 3/4 of an hour
now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours
***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.
Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month. On the same grid as Han's
plan, graph the cost of Tyler's cell phone plan over a period of two years. (Go back to question 14 and add a line
to represent Tyler's plan.)
Describe how the two graphs are the same and how they are different.
Answer:
Tyler's cell phone plan will cost 1,550 over the period of two years.
Step-by-step explanation:
$50 * 24 months = 1,200
1,200 + 350 = 1,550
The graph for the given condition is attached below.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month.
Suppose the number of months is x and the total amount is y, The obtained equation for the given condition is,
y=350+50x
We have to graph the cost of Tyler's cell phone plan over a period of two years.
1 year = 12 month
2 year = 24 month
Suppose 24 as the place of x,
y=350+50x
y=350+50(24)
y=350+1200
y=1550
Thus, the graph for the given condition is attached below.
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Tyler’s game piece landed on space 30 while playing a board game. On his next turn, he moved his piece 17 spaces backward. Which expression can be used to find which space Tyler’s piece was on after his turn?
Answer:
30+(−17) is the answer
Step-by-step explanation:
A downtown building is 720 feet tall. Maggie makes a scale model of the building at 1:240 of its actual size. How tall is the model?
Answer:
3 feet
Step-by-step explanation:
720ft
1ft:240ft
720/240=3
3ft:720ft
if m<6=×,m<7=×-20,and m<11=80,thenx=
What is the value of x?
Answer:
x in all equations just normally means 1
Step-by-step explanation:
x is always 1
g a club of 12 people would like to choose a person for each office of president, a vice president, and a secretary. How many different ways are there to select the officers so that only one person holds each office
Answer:
220 possible ways
Step-by-step explanation:
Given
[tex]n = 12[/tex] --- people
[tex]r = 3[/tex] -- posts [tex](President, Vice\ President\ and\ Secretary)[/tex]
Required
Determine the number of selection
Since there is no condition attached, the number of selection is:
[tex]Selection = ^nC_r[/tex]
Substitute values for n and r
[tex]Selection = ^{12}C_3[/tex]
Apply combination formula
[tex]Selection = \frac{12!}{(12-3)!3!}[/tex]
[tex]Selection = \frac{12!}{9!3!}[/tex]
[tex]Selection = \frac{12*11*10*9!}{9!*3*2*1}[/tex]
[tex]Selection = \frac{12*11*10}{6}[/tex]
[tex]Selection = \frac{1320}{6}[/tex]
[tex]Selection = 220[/tex]
Hence, there are 220 possible ways
A pair of shorts cost $32. If the shorts were on sale for 25% off, how much will they cost
Answer:
Step-by-step explanation:
$8.75
hope it helps
Answer:
24
Step-by-step explanation:
half 32 and half it again u get 8 then u do 32-8
3x + 4y = -23
2y - x = -19
What is the solution (x, y) to the system of equations above?
(-5, -2)
(3, -8)
(4, -6)
(9, -6)
Step-by-step explanation:
I belive is choice 2 cause I only got -19 with that one
