Answer:
Step-by-step explanation:
Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:
(x - 3)^2
and the roots are found by setting this equal to zero and solving for x:
(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3
a) there are two equal roots: {3, 3}
b) the roots {3, 3} are rational
c) the roots {3, 3) are real
If you want to use the quadratic formula, proceed as follows:
1. Identify the coefficients of the quadratic: {1, -6, 9}
2. Find the discriminant b^2 - 4ac: It is (-6)^2 - 4(1)(9) = 36 = 36 = 0
As a general rule, if the discriminant is zero, the quadratic has two equal, real roots. These roots are rational: 3 can be rewritten as 3/1, which is a ratio.
Select All the correct answers. Select all the statements that are true for the following systems of equations. System A 2x - 3y = 4 4xy18 System B 3x - 4y = 5 y = 5x + 3 System C 2x-3y и 4 12x-3y 54 System C simplifies to 2x-3y 4 and 4x y 18 by dividing the second equation by three. O Systems A and C have the same solution D Systems A and B have different solutions. Systems B and C have the same solution All three systems have different solutions.
Answer:
hi
Step-by-step explanation:
Answer:
The true statements are:
the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.
Explanation:
1) The first statement: systems A and C have the same solutiotn: TRUE
The fourth statement proves that that the two systems are equivalent which means that both have the same solution.
2) The second statement: All three systems have different solutions: FALSE
The fourth statement proves that the systems A and C have same solution, so this second statement is false.
3) The third statement: Systems B and C have the same solution: FALSE
You can solve the two systems and will find the solutions are different
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2
=> solution x = -1 and y = -2
Solution of system C.
2x - 3y = 4
12x - 3y = 54
subtract
4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE
Look:
Second equation of system C = 12x - 3y = 54
Divide by 3:
12x - 3y 54
----------- = -----
3 3
Distributive property:
12x 3y
------ - ----- = 18
3 3
4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.
5) The fifth statement: systems A and B have different solutions: TRUE
You can solve the two systems and will find the solutions are different
Solution of system A:
2x - 3y = 4
12x - 3y = 54 since it is equivalent to 4x - y = 18
-------------------
12x - 2x = 54 - 4 subtracting the first equation from the secon
10x = 50 adding like terms
x = 5 dividing by 10
From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6
=> y = 6 / 3 = 2
=> x = 5, y = 2
Solution of system B.
3x - 4y = 5
y = 5x + 3
replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5
=> 3x - 20x - 12 = 5
=> - 17x = 5 + 12
=> -17x = 17
=> x = - 17 / 17
=> x = - 1
Which is enough to prove that the two systems have different solutions.
If 3+3 is 6 and 6 + 6 is 12... whats 500x - y
5,574 mg= how many grams?
Answer:
5.574 grams
Step-by-step explanation:
Answer:
The answer is 5.574 grams
Step-by-step explanation:
Factor the following...
[tex]9n^2-34n-8[/tex]
Please show work
Step-by-step explanation:
9x8= 72
therefore 36 x 2 are the products
9 n^2 - 36n + 2 n -8
9 n( n-4) + 2( n- 4)
therefore the two factors are
( 9 n +2) ( n-4)
Please help ASAP! Will mark brainliest if correct!
Answer:
x equals 2 cm
In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x
A, 8
B. 6
C. 10
D-10
Answer:
Option A. 8 will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!!
For the graph shown, the slope is changed to 1/5, but the y-intercept remains the same. What is the resulting equation for the new graph?
A)y = x + 15
B)y = x - 15
C)y = 15x + 1
D)y = 15x - 1
Answer: C. y=1/5x+1
Step-by-step explanation:
There is supposed to be a 5 at the end PLEASE HELPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
You basically just add the numbers where x is. I tried it with 5 and both equalled 28. Using 5 as x makes the equation equal which is what we are looking for. So the answer is x=5.
A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot)
The whole distance travelled by the dog is 630 inches.
We shall now approach the question in the following steps;
First, we shall convert the length of the fence to inches using the conversion factor as shown in the question.
12 inches = 1 foot
x inches = 5 feet
x = 12 inches × 5 feet /1 foot
x = 60 inches
The total length of the fence is 60 inches + 3 inches = 63 inches
The dog ran round it ten times hence the total distance travelled = 10 * 63 inches = 630 inches
Learn more about distance travelled: https://brainly.com/question/1214027
Susan read 130 pages of a book in 2.5 days. If she read the same amount each day, how many pages did she read each day ?
A 5.2
B 5.6
C 52
D 56
Answer:
c.52
Step-by-step explanation:
if susan reads 130 pages in 2.5 days then we have to divide 130 and 2.5 which gives us 52 which kinda means she reads 52 pages per day i hope that clear
I might just post the whole packet cuz I’m not smart enough to understand what the hecc is going on ;-;
Answer:
It would be the fourth choice.
A manager records the number of projects employees complete in one month. If the manager wants to summarize the data, which two statements are true?
The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.
The manager should use a measure of center to summarize how the number of projects employees complete differs.
The manager should use a measure of center to summarize the typical number of projects an employee completes.
The manager should use a measure of variability to summarize how the number of projects employees complete differs.
The manager should use a measure of variability to summarize the typical number of projects an employee completes.
Answer:
The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.
Step-by-step explanation:
Need help answer it in the bottom
Answer:
it depend
Step-by-step explanation:
i can edit this answer but-
do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?
A factory produces 80,000 candies each day.They produce equal quantity of four flavors:cherry,lemon,orange and strawberry. The candies are mix together during packaging. What is the probability of selecting orange.
Answer:
1 /4
Step-by-step explanation:
Total number of candies produced per day = 80,000
Number of flavors made = 4
Since the number of each flavor produced are equal ;
Number of each flavor produced :
80000 /4 = 20000
Probability of selecting orange flavor :
Number of orange flavor / total candies produced
= 20000 / 80000
= 1/4
hi i have problems with some of my mathematic question if you are super good in maths pls kindly send a message or comment so we can work it out together ...thanks in advance
Answer:
yeah okay sure!
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows.
37, 29,21
Find the next two terms of this sequence.
Answer:
13, 5
Step-by-step explanation:
First, we find the common difference.
d = 29 - 37 = -8
Now we add -8 to the last term to find the next term.
21 + (-8) = 13
13 + (-8) = 5
Answer: 13, 5
mr. jaw needs 1 bag of sand for every 5 square feet of the sandpit. of bags of sand cost $8 each, about how much will mr. jaw spends on sand use ~ 3.14
Answer:
$125.60
Step-by-step explanation:
3.14*5 = 15.7
15.7*$8 = $125.60
HOPE THIS HELPS!!!! <3333
-Silver
Direction: Name at least 2 examples of each of the following terms below from figure 2.
1.angle
2.line segment
3.ray
Answer:
1.acute angle
right angle
2.pencil
the edge of a table
3.a Ray from light
a Ray from sun
Answer:
Angle = LABC and LACD
Line segment = AB and DC
Ray = AB and CD
Evan makes cards numbered 1-18 and places them in a bag. What is the probability that he will pull out an even number, replace the card, then choose another even number?
Answer:
1-8
Step-by-step explanation:
Maths homework volumes anyone can help?
Answer:
1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......Step-by-step explanation:
look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5 c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearly1. Which of the following moving at the same speed, wouldbe hardest to stop?*
(12 points)
car
bus
Frisbee
stroller
Answer:
Bus
Step-by-step explanation:
If the bus has the most weight than the force it would edmit would be greater than any other
5 b.) Bill swims 2/3 of a lap in 7 minute.
What is his speed in laps per minute?
Answer:
.095 laps per minute (if you need this answer as well 10.5 minutes per lap)
Step-by-step explanation:
(2/3)/7 =.095238 this is laps per min
7/(2/3)= 10.5 this is minutes per lap
I hope this is what you were looking for.
pls help! will mark brainliest if correct
I dont know what is it sorry but I try the love yaaysya
A set of 25 cards are shown.
what is the probability of choosing a card with a sheep on it?
Answer:
probability of choosing a card with a sheep on it will be 12.5 out of 25
Hope it helps
Please mark me as brainliest
Thank you
can somebody help.................
Answer:
y=2x+2
Step-by-step explanation:
Answer:
y=2x+2 is the answer
Step-by-step explanation:
hope this helped!! :D
19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2
Answer:
4
Step-by-step explanation:
First, solve for x:
4 + 2(3x - 4) = 8
4 + 6x - 8 = 8
6x = 12
x = 2
Now, plug x into 4x - 4:
4(2) - 4 => 8 - 4 = 4
In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
Answer:
y=-x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(2-(-1))
m=-3/(2+1)
m=-3/3
m=-1
y-y1=m(x-x1)
y-2=-1(x-(-1))
y-2=-(x+1)
y=-x-1+2
y=-x+1
Any idea. I have no clue. Thanks
Answer:
your answer should be B :)
[tex]3 \sqrt{ - 125 - ( - {5)3}^{?} } [/tex]
Use the net to find the surface area of the pyramid
Answer:
56
Step-by-step explanation:
5ft x 4ft = 20ft / 2 = area =10 10 x 4 triangles = 10 x 4 = 40 + square= area, so 4 x 4 = 16 + 40 = 56ft
Hope this helps!