Answers
Answer:
As follows,
Step-by-step explanation:
You can solve these either by factoring or using the quadratic formula or other ways,
1. x^2+2x+1=0
Factoring,
(x+1)^2=0
x+1=0
x=-1
2.y^2-y-2=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(--1±√(-1^2-4*1*-2))/2*1
(1±√(1+8))/2
(1±√(9))/2
(1±3)/2
y=(1±3)/2
y=(1+3)/2 y=(1-3)/2
y=4/2 y=-2/2
y=2 y=-1
3.y^2+y+1=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-1±√(1^2-4*1*1))/2*1
(-1±√(1-4))/2
(-1±√(3))/2
No real roots
4. x^2+9x+18=0
Using quadratic formula,
(-9±√(9^2-4*1*18))/2*1
(-9±√(81-72))/2
(-9±√(9))/2
(-9±3)/2
x=(-9+3)/2 x= (-9-3)/2
x=-6/2 x=-12/2
x=-3 x=-6
5.x^2+5x+6=0
Using quadratic formula,
(-5±√(b^2-4ac))/2a
(-5±√(5^2-4*1*6))/2*1
(-5±√(25-24)/2
(-5±1)/2
x=(-5+1)/2 x=(-5-1)/2
x=-4/2 x=-6/2
x=-2 x=-3
6. 3n^2-13n-10=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-(-13)±√(-13^2-4*3*(-10)))/2*3
(13±√(169-(-120))/6
(13±√289)/6
The discriminant b^2−4ac>0
So there are 2 real roots.
x=(13±17)/6
x=30/6 or x=-4/6
x=5 or x=-2/3
Related Questions
HELPPPP. QUICKK. PLEASEE AND TY :))
Answers
Answer: D
Step-by-step explanation:
D
The employees from maintenance go for coffee together every day at 9 a.m. On Monday, Hector paid $4.60 for three cartons of milk, three cups of coffee, and seven
doughnuts. On Tuesday, Guillermo paid $8.30 for four milks, nine coffees, and eight doughnuts. On Wednesday, Anna paid $4.90 for two milks, five coffees, and six
doughnuts. On Thursday, Alphonse had to pay for five milks, two coffees, and eight doughnuts. How much change did he get back from his $10 bill?
Answers
Answer:
The change will be $4.75
Step-by-step explanation:
Given data:
Monday
Total paid = 5.45
milk bought =3
coffee bought = 4
doughnuhts = 7
Tuesday
Total paid = 5.30
milk bought =4
coffee bought = 2
doughnuhts = 8
Wednesday
Total paid = 5.15
milk bought =2
coffee bought = 5
doughnuhts = 6
Thursday
Total paid = X
milk bought =5
coffee bought = 2
doughnuhts = 9
Let milk be m, Let coffee be c and Let doughnuts be d
3m + 4c + 7d = 5.45 (eqaution 1)
4m + 2c + 8d = 5.30 (equation 2)
2m + 5c + 6d = 5.15 (equation 3)
Using equation 1 and equation 2 ( to eliminate m)
3m + 4c + 7d = 5.45 (Multiply the whole equation by 4)
4m + 2c + 8d = 5.30 (Multiply the whole equation by 3)
12m + 16c +28d = 21.8
12m + 6c +24d = 15.9 (Subtracting the two equations)
0m +10c + 4d = 5.9
therefore 10c +4d = 5.9 (equation 4)
Using equation 2 and equation 3 (to eliminate m)
4m + 2c + 8d = 5.30 (Multiply the whole equation by 2)
2m + 5c + 6d = 5.15 (Multiply the whole equation by 4)
8m + 4c + 16d = 10.6
8m +20c +24d = 20.6 (Subtracting the two equations)
0m -16c -8d = -10
-16c -8d = -10 (equation 5)
Solving equation 4 and equation 5( to eliminate d)
10c +4d = 5.9 (Multiply whole equation by 8)
-16c -8d = -10 (Multiply whole equation by 4)
80c + 32d = 47.2
-64c -32d = -40 (Adding the equations)
16c =7.2
therefore c = 0.45
Substituting into equation 4
10(0.45) + 4d = 5.9
4.5 + 4d = 5.9
4d = 5.9-4.5
4d = 1.4
therefore d = 0.35
Substituting c and d into equation 1
3m + 4c + 7d = 5.45
3m + 4(0.45) + 7(0.35) = 5.45
3m + 1.8 + 2.45 = 5.45
3m = 5.45-2.45-1.8
3m = 1.2 therefore m = 0.4
Alphonse has to pay 3m + 2c + 9d
Alphonse change will be 10 - (3m + 2c + 9d) (Substituting m, c and d)
10- (3(0.4) + 2(0.45) + 9(0.35) = 10 -(1.2+0.9+3.15)
which simplifies to 10- 5.25=4.75
The change will be $4.75
10 POINTS!!!!which polynomial represents the sum below?
Answers
Answer:
The right answer to the question is A
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Answers
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
HELP ASAP NO LINKS
What is the solution to the equation X=
56 8
co
O x = 448
Ox=64
O x = 48
Ox=7
Answers
Answer:
the answer is x=7 cause you have to divide 56 by 8 and that will give you 7 cause 8×7=56
Trigonometry
HELP ASAP !
Answers
Answer:
8.9
Step-by-step explanation:
X= Tan( 52 ) · 7
X= 8.959591425
Round to the nearest 10th or 100th
Choices ( below )
X= 8.9596
X= 8.9510
X= 8.96
X= 8.10
X= 9
I Hope this helped
Have a good day
I'LL GIVE BRAINLIST TO THE FIRST ANSWER
Answers
Answer:
4
Step-by-step explanation:
2/5*100 = 40
40/10 =4
Answer:
4
Step-by-step explanation:
2/5 of a century is 40 years. 40 years is 4 decades
Will give brainliest if anyone helps me with this one.
TILES A box of colored tiles contains 4 red tiles, 3 orange tiles, and 2 blue tiles in random order. Tiles are selected at random from the box. The desired pattern is:
red, red, orange, blue, orange, red, blue, orange, red
If you selected a permutation of these tiles at random, what is the probability that they would be chosen in this sequence?
A.1/1260
B.1/630
C.1/315
D.1/2520
Answers
Answer:
Step-by-step explanation:
i believe the answer is a
Pls help asapppppp!!!!!
Answers
explanation :
f(4)=4^2 - 6
4f=4^2 - 6
4f=16 - 6
4f=10
HELP PLEASE Help please
Answers
Answer:
your answer will be option B. x²-2x-9
Step-by-step explanation:
5x²+4x-1+2x²+3+y=8x²+2x-7
7x²+4x+2+y=8x²+2x-7
y=8x²+2x-7-7x²-4x-2
y=x²-2x-9
hope it helps...
Answer:
B
Step-by-step explanation:
use an inequality symbol to compare -3 + 7 ____-10 -2
Answers
Answer:
>
Step-by-step explanation:
-3 + 7 = 4
-10 - 2 = -12
4 > -12
A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answers
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
at donald's donuts the number of donut holes in a bag can vary. Help donald find the mode. 12,10,10,10,13,12,11,13,10
Answers
Answer:
Mode is 10
Step-by-step explanation:
The mode is 10, because it appears the most.
Hope this helps!
Answer:
10
Step-by-step explanation:
I just did it in i ready
For a class party Mr. Lawson brought a bag of candy containing 32 pieces of candy. If Mr. Lawson gives away 7/8 of the bag , how many pieces of candy are left over?
Answers
Can someone help me find the area?
Answers
Answer:
56
Step-by-step explanation:
4 x 5 = 20
20/2 = 10
4 x 5 = 20
20/2 = 10
6 x 6 = 36
20 + 36 = 56
______________________
Give Me Brainllest
Answer:
56
Step-by-step explanation:
which is the value of n for which 411/3 + 388= n-79 ?
Answers
find the direction of
u = - 3 i + 8 j
Answers
Answer:
i came up with 1 so i hope it helps u. XD
Step-by-step explanation:
Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run
Answers
Answer:
119
Step-by-step explanation:
19+100=119
help pleaseeeeeeeeeeeeee
Answers
Answer:
a
Step-by-step explanation:
Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??
Answers
9514 1404 393
Answer:
(8, 1)
Step-by-step explanation:
Let x represent the number of hats sold by each seller.
__
Kenny's cost: $3
Kenny's revenue: $0.50x
Kenny's profit = revenue - cost: y = 0.50x -3
__
Ben's cost: $1
Ben's revenue: $0.25x
Ben's profit = revenue - cost: y = 0.25x -1
__
The profit and sales will be the same when the same (x, y) values satisfy both profit equations.
y = 0.50x -3
y = 0.25x -1
0.50x -3 = 0.25x -1 . . . . . substitute for y
0.25x = 2 . . . . . . . . . . . add 3-0.25x
x = 8 . . . . . . . . . . multiply by 4
y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation
The profit and sales will be the same for ...
(hats, profit) = (8, 1)
Find the axis of symmetry of the parabola y=2x^2+4x-1
Answers
Answer:22
Step-by-step explanation:
Add
Multiply
Divide
What value will make the equation true?
Answers
Answer:
-.6
Step-by-step explanation:
-2.1 - x = -1 1/2
Change the fraction to a decimal
-2.1 -x = - 1.5
Add 2.1 to each side
-2.1 -x+2.1 = -1.5 +2.1
-x = .6
Multiply each side by -1
x = -.6
No Links Please!!!
A swimming team from East High School is participating in a swim meet with, with three swimmers competing in the
butterfly stroke race.
There are 15 total swimmers competing in the butterfly stroke race.
What is the probability that two East High School swimmers finish first and second in the race?
Enter your answer as a simplified fraction.
Answers
Answer:
1/35
Step-by-step explanation:
P= 6 *13! / 15! = 1/35
The probability of two east high school swimmers to come first and second is 1/35.
How to calculate probability?
First, let us calculate the number of desired outcomes:
The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).
Total=2.3.13
Now, calculate the total outcome:
1st position has 15 possibilities, 2nd has 14 and 3rd has 13.
Total=15.14.13
Probability=desired outcome/total outcome
=2.3.13/15.14.13
=1/35
Therefore, probability of the given situation is 1/35.
To know more about probability refer:
https://brainly.com/question/13604758
#SPJ2
[tex]-5(3.15-\frac{21}{20} )+7[/tex]
Answers
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answers
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
Help me with this question
Answers
Answer:
0.45
Step-by-step explanation:
45/100
1/100 = 0.01
0.01 * 45 = 0.45
a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?
Answers
hi
150/1.5 = 100
so 100 tickets
PLEASE HELPP ASAPPP will mark brainlist
Answers
Answer:
I think this is the answer for the second question.
offering 19 points to whoever can solve this need the answers
Answers
Answer:
Excuse Me! I believe you forgot to add your question and or picture with the question(s) in it! I would highly recommend to re-upload your question(s) to get the desired information needed!
Yours Truely, TheAnimeCatUwU
find the value of 83 -[59-(22-18)]
Answers
Answer:
[tex]28[/tex]
Step-by-step explanation:
Follow the PEMDAS order of operations.
Calculate within parentheses[59−(22−18)] : 55
83−55=28