Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
[tex]b^{2}-4ac[/tex]
Every quadratic formula has the structure:
[tex]ax^{2} +bx+c=0[/tex]
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
[tex]x^{2} +45x+200=0[/tex]
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
[tex](45)^{2} -4(1)(200)[/tex]
Solve:
[tex]2025-800=1225[/tex]
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]
(Same discriminant value)
[tex]x=\frac{-45+/-35}{2}[/tex]
Now to find the two solutions, we use both signs in the equation. Solution 1:
[tex]x=\frac{-45+35}{2}[/tex]
[tex]x=\frac{-10}{2}=-5[/tex]
Our first solution is -5, now for the second:
[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]
The two solution to this equation are -5 and -40.
Hope this helped!
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
8+9 divided by 3 in algebraic expression
Answer:
(8 + 9) ÷ 3 = x
Step-by-step explanation:
You first need to add 8+9, so you put them in parenthesis for PEMDAS
Then you divide them by 3
Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given
Which angle is complementary to <3? help asap
Answer:
In a right angled triangle
Step-by-step explanation:
The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.
Sorry if this is wrong this is all I could do
HELP THIS IS DUE IN 7 MINUTES
Answer:
it takes 3 more minutes
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.
__
There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.
Answer:
see attached
Step-by-step explanation:
Ignore the paragraph part just part a and part b, please & thank you!
Answer:
A) Three times x to the second power added to two times y which is added to a half.
B) Six times x plus two multiplied by y added to one by two
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
the solution of equation x × 3=0 is
Answer:
x=0
Step-by-step explanation:
Regroup terms:
3x=0
Divide both sides by 3:
3x divided by 3 = x
0 divided by 3 = 0
x=0
what is x in x/5 = -3
Answer:
-15
Step-by-step explanation:
x/5 = -3
multiple both sides of equation by 5:
x = -3(5)
x = -15
Answer:
-15
Step-by-step explanation:
Hope this is the right answer
24 is what percent of 300
Answer:
8
Step-by-step explanation:
x/100=24/300
100 times 24 =2400
2400 divided by 300 = 8
1/2 inch is equal to ____ /16 inch
a. 8
b. 2
c. 6
d. 4
Answer:
a. 8
Step-by-step explanation:
hope you find it helpful
ps: mark as brainliest
I need your help with my hw!
Answer:
-4
Step-by-step explanation:
f(x) = 3(x) so....
3(-2) + 2
-6 + 2
-4
8 to the 4th power times 2 divided by 8 to the eleventh power
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
(HELPPP) The graph models the proportional relationship between the cost of a salad per pound determine the unit rate of the graph
A) $2/lb
B) $4/lb
C) $1/lb
D) $0.50/lb
can someone PLEASE help with this i don’t understand at all
I need help with this riddle rq
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second. The elevator for the miners descends 13 feet per second. One day the equipment elevator begins to descend. After 18 seconds the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that time, which elevator is deeper?
Answer:
The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.
Step-by-step explanation:
The rate that both elevators descend are the same according to the information given in the question.
After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.
After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.
So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.
I hope this answer helps.
I SWEAr If you DO THIS I WilL GIVE brainiest AND GIVE 5 STAR RATING!! xoxo
There are 18 girls in mr.brimleys class. If 60 percent of the students are girls how many students are in mr.brimley’s math class?
Answer:
30 students in the class.
Step-by-step explanation:
There are several which in which we can approach this question:
We can do this question using direct proportion.
"If 18 girls represent 60%, how many students represent 100%?"
18
60
=
x
100
x
=
18
×
100
60
30
students altogether.
Could you please put the answer with the letter? Does not need to be in order too.
Answer:
54=n u=25 G=50 O=31 D=42
B=58 R=30 F=60
Step-by-step explanation:
hopefully, it's right
When electrons flow with little resistance through a conductor it is called a
Answer:
The answer is free electrons
Step-by-step explanation:
When electrons flow with little resistance through a conductor, then it is called a Electricity.
What are electrons?"The electron is a subatomic particle whose electric charge is negative one elementary charge."
What is resistance?"Resistance is a measure of the opposition to current flow in an electrical circuit."
What is conductor?"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "
What is Electricity?The steady flow of electrons through a conductor is called electricity
Hence , if electrons are flowing that means they conducts electricity.
Learn more about electricity here
https://brainly.com/question/8971780
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What is the following sum?
Answer:
Maybe A sorry if its wrong.
Step-by-step explanation:
Answer: c
Step-by-step explanation: edge 2023 :)
3y/4=21
pls urgent will mark u the brainliast
Answer:
y=28 Good Luck!
Step-by-step explanation:
Answer:
y=28
Step-by-step explanation:
Anyone know got a chart by the way on the bottom
Answer:
41 and then 24 i belive
Step-by-step explanation:
PLEASE HELP ASAP AND GET IT RIGHT, CANT AFFORD TO GET IT WRONG WILL MARK BRAINLIEST
Type the correct answer on the line
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is ________
meters per minute. One kilometer is the same as 1,000 meters.
Answer:
286.1
Step-by-step explanation:
2 km = 2000 m
2 min = 250 m -> 125 m in 1 min
4 min = 1000 m -> 250 m in 1 min
1 min = 350 m -> 350 m in 1 min
3 min = 400 m (the rest) -> 133.33 m in 1 min
To get the average you add up all 3 and divide by 3
So: 125 + 250 + 350 + 133.33 = 858.33
858.33/3 = 286.11
So rounded its 286.1
Zachary purchased a computer for $1,900 on a payment plan. Two months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months
Answer:
[tex]y=-450x+1900[/tex]
Step-by-step explanation:
According to the problem, the payment plan is $1,900, so automatically our balance is $1,900. We are then told after two months, his balance was $900:
[tex]1900=900(2)[/tex]
To achieve the equation the problem is asking for we have to find how much Zachary would possibly be paying for one month. Divide the $900 into two months:
[tex]\frac{900}{2}[/tex]
[tex]=\frac{450}{1}[/tex]
Zachary pays [tex]450[/tex] a month, and we have to remember this is being subtracted from the initial balance. We can represent this as:
[tex]y=mx+b[/tex]
[tex]y=-450x+1900[/tex]
if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h
Answer:
Heath
I think
Step-by-step explanation:
Answer:
is it Heath?
Hope it helps!!!
2. What is the slope and the y-intercept of the
table? Show your work.
Slope =
y-intercept =
slope: 3
y-intercept: 4
The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010.
Answer:
b) When will the number of deer be 600?
Step-by-step explanation:
Answer:
600
Step-by-step explanation: