Answers
The answer of the given question based on the quadratic expression is Vertex: (3, -1) , Axis of symmetry: x = 3 , y-intercept: (0, 8) , x-intercepts: (2, 0) and (4, 0) , Shape: upward-opening parabola.
What is Quadratic expression?A quadratic expression is a mathematical expression that can be written in the form ax² + bx + c, where a, b, and c are constants (numbers) and x is a variable. The term "quadratic" comes from the Latin word "quadratus," which means "square."
To graph the quadratic function f(x) = x² - 6x + 8, we can first find the vertex of the parabola by using the formula x = -b/2a. In this case, a = 1 and b = -6, so the x-coordinate of the vertex is x = -(-6)/(2*1) = 3.
To find the y-coordinate of the vertex, we can substitute x = 3 into the expression for f(x):
f(3) = (3)² - 6(3) + 8 = -1
Therefore, the vertex of the parabola is (3, -1).
we can find y-intercept by setting x = 0:
f(0) = (0)² - 6(0) + 8 = 8
So the y-intercept is (0, 8).
To find the x-intercepts, we can set f(x) = 0 and solve for x:
x² - 6x + 8 = 0
(x - 4)(x - 2) = 0
x = 2 or x = 4
So the x-intercepts are (2, 0) and (4, 0).
Finally, we can see that the leading coefficient of the quadratic expression is positive (a = 1), so the parabola opens upward.
Therefore, the key features of the graph of f(x) = x² - 6x + 8 are:
Vertex: (3, -1)
Axis of symmetry: x = 3
y-intercept: (0, 8)
x-intercepts: (2, 0) and (4, 0)
Shape: upward-opening parabola.
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Related Questions
Lee bought a T-Shirt originally priced at $55 that was reduced in price by 40%. What was the reduced price?
Answers
Answer:
$33 is the reduced price :)
Answer:$33
Step-by-step explanation:
what is answer to this question please help
Answers
Answer:
5 > \(\sqrt{18\)
Step-by-step explanation:
The square root of 18 is approximately 4.24.
5 is greater than 4.24, so we can use the inequality sign >.
Alden has a gift card for a local garden store. She uses the gift card to rent a tiller for 5 days. It cost $59 per day to rent the tiller. She also buys a rake for $3 l. By how much did her gift card decrease by
Answers
Answer:
90 the answer is 90
Answer:
$250
Step-by-step explanation:
We can make a pretty simple equation to help us solve this. If the tiller costs $59 for each day and she uses it for 5 days, the first step of our equation would be (59 x 5). Then she buys a rake for 3 dollars, that is adding to the equation
(59 x 5) + 3
Fist solve what is inside the parentheses. 59 x 5 = 250
250 + 3 = 250
HELP ASAP WILL MARK BRAINLIEST PLEASE!!
Express your answers in simplest form. An isosceles triangle has a base with a measure of u cm. If the triangle has a perimeter of 16 cm, what is the measure of one of its legs in terms of u?
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Side = 8 - u / 2
can someone help me i will give brainlest
Answers
Answer:
(48, 3), (80, 5), (160, 10)
I want you to find the answer
Answers
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
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In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
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Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
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Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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i need help with this question please
Answers
Answer:
x axis - (18,0)
y axis - (0,12)
quadrant I - (4.5, 10.6)
quadrant II -(-15,21)
quadrant III - (-3/4, -4 1/9)
quadrant IV - (0,-7)
Step-by-step explanation:
Which term contains a coefficient?
m + 3n + p + 3
Answers
Answer:
3nStep-by-step explanation:
A coefficient is a number (integer) which is multiplied with an unknown value (the variable of a single term or the terms of a polynomial).
In this case , n is the variable of a single term and 3 is the coefficient.
Let x be the number of bratwursts and y thenumber of hamburgers. Which system ofinequalities represents this situation?You are serving bratwurst andhamburgers at your annual picnic. Youwant at least three bratwursts orhamburgers for each of your 30 guests.Bratwursts cost $1.25 each andhamburgers $0.75 each. Your budget is$120.Click on the correct answer.x + y s 301.25x + 0.75y s 120x + y s 301.25x + 0.75y = 120x + y 2 901.25x + 0.75y2 120x + y 2 901.25x + 0.75y = 120
Answers
The first condition is that there must be at least 3 hamburgers or 3 bratwursts for each of the 30 participants. This means that the sum of hamburgers and bratwurst must be at least 90. This can be expressed as:
\(x+y\ge90\)The second condition says that the maximum amount to pay is $120, this means that the total cost of hamburgers and bratwurst must be less than $120. This can be expressed as:
\(1.25x+0.75y\le120\)Therefore, the system that represents the situation is:
\(\begin{gathered} x+y\ge90 \\ 1.25x+0.75y\le120 \end{gathered}\)Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Brandon is paid 150% of his regular hourly rate for overtime hours. He is paid \$45.00 an hour for overtime hoursWhat is his regular hourly rate?
Answers
Answer:
Regular hourly rate for Brandon is $30
Step-by-step explanation:
Let the payment for regular hours be $x
given that
Brandon is paid 150% of his regular hourly rate for overtime hours
payment for overtime hours = 150% of payment for regular hours
payment for overtime hours = 150/100 * x = 3x/2
Given that He is paid \$45.00 an hour for overtime hours
thus,
3x/2 = 45
=> x = 45*2/3 = 30
Thus, regular hourly rate for Brandon is $30
what is the length of bc in the right triangle below?
Answers
Answer: A) 15
Step-by-step explanation:
Because of Pythagorean Theorem, 9^2+12^2=BC^2. Thus, 81+144=BC^2. Thus, 225=BC^2. Thus, 15=BC.
Hope it helps, and ask if you want further clarification <3
5*Please answer this correctly very urgent!
Answers
Answer:
1 3/15 - 5/15
Step-by-step explanation:
Hope this helps. PS the / sign is supposed to be for the fraction.
Step-by-step explanation:
1 1/5 - 1/3 = 0.86
Hope I helped. The only way I know how to dot this is in decimal form sorry.
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On
Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of
$39. On Thursday, she purchased 9 hamburger meals and 2 chicken nugget meals,
for a total of $35.
Which pair of equations could be used to determine the cost of each type of meal?
Answers
Answer:
correct choice is the last one
Step-by-step explanation:
let h = cost of 1 hamburger meal
let c = cost of 1 chicken nugget meal
5h + 6c = 39
9h + 2c = 35
y=3(2-1)2+1
Solución
Answers
Answer:
y = 7
Step-by-step explanation:
y = 3(2-1) 2 + 1
y = 3(1)(2) + 1
y = 6 + 1
y = 7
Which of the following expressions represent the difference of 3 times a number and 10?
A. 3n-10 B. 3n+10 c. 3(n-10) D. 3n-2(10)
Answers
2
18 x (14 - 9) = [12 - (19 - 13)
Answers
Answer:
just use photomadh.go to playstore or Applestore and installl
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answers
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
What is 100 minutes divided by 10 minutes plus 5 minutes.Heeeeeeellllllllllllppppppppppp
Answers
Answer:
15 minutes
Step-by-step explanation:
100 devided by 10 is 10. 10 plus 5 is 15
if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest
Answers
Answer:
∠5 = 50°Step-by-step explanation:
its alternate internal angles:
∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)
therefore,
∠5 = 50°
The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.
What is alternate internal angles?Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.
Since the given diagram shows the alternate internal angles
Since angle 4 is 50
So angle 4 should be congruent or equivalent to alternate internal angle)
So angle 5 should be 50 degrees.
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Which angles are adjacent to each other? Select all that apply.
Answers
Answer:
I think it's all the options but I cant confirm.
Step-by-step explanation:
adjacent angles are angles that:
- have the same vertex
- share one side
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
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The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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The density curve below represents the number of minutes Anastasia takes to go from her chemistry class to her Spanish class. у x 1 3 4 N What is the height of the density curve?
Answers
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
If someone has a dog, what is the probability that they also have a cat?
1/6
5/7
5/12
1/3
Answers
Answer:
5/12
Step-by-step explanation:
We are only looking at people who have a dog, which is 12
Now we need to determine if they have a cat
P( cat given that they have a dog)
= number of people with a cat/ they have a dog
= 5/ (5+7)
= 5/12
en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answers
Answer:
English?
Step-by-step explanation:
The on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be the nominal return on an investment.
Answers
The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
What is inflation?
In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.
If the inflation rate is positive, the actual return will be less than the nominal return on investment.
Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.
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Answer:
The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be
GREATER THAN the real return on an investment.
Step-by-step explanation:
Edward deposits $6000 into a savings account 4 years ago. the simple interest rate is 3% how much interest did he earn
Answers
The interest Edward earned from the savings account in which he deposited $6,000 for 4 years at a simple interest rate of 3% was $720.
What is the simple interest?Simple interest is the interest system that calculates interest only on the principal.
Unlike compound interest, simple interest does not compute interest on the accumulated interest.
Savings account deposit = $6,000
Savings period = 4 years
Simple interest rate = 3%
Simple interest = Principal x Rate x Time
= $6,000 x 3% x 4
= $720
Thus, Edward earned $720 in interest from the savings.
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Eleanor can drive an average of 374 Miles on one tank of gas. How many miles can she drive on 15 tanks of gas
Answers
Answer:
5,610 Miles
Step-by-step explanation:
To solve this you would need to multiply the average miles by how many tanks of gas she will use.
374 * 15 = 5,610
So, Eleanor can drive 5,610 miles with 15 tanks of gas.
Solve the equations.
6(k-7) - 2
=5
Answers
Answer:
k= 49/6
Step-by-step explanation:
Answer:
49/6
Step-by-step explanation:
Use Distruibute Property To Simplify. (6 x k) (6 x -7)- 2= 5
6xk= 6k 6x-7= -42
6k-42-2=5
Add -42 + -2=44
6k-44=5
Get rid of the -44 by adding 44 on both sides 5+44 now the equation is...
6k=49 now 49 divided by 6 and that gives us the answer 49/6