PLEASE HELP ME I WILL LITERALLY GIVE YOU A KISS ON THE CHEEK
Use the function f(x) to answer the questions:
f(x) = 5x2 + 2x − 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Answer:
A) x-intercepts are (0.6, 0) and (-1, 0)
B) vertex is (-0.2, -3.2)
C) see attached
Step-by-step explanation:
Part A
Given function: [tex]f(x)=5x^2+2x-3[/tex]
The x-intercepts are when f(x) = 0
[tex]\implies 5x^2+2x-3=0[/tex]
To factor, find two numbers that multiply to -15 and sum to 2: 5 and -3
Rewrite the middle term of the quadratic as the sum of these number:
[tex]\implies 5x^2+5x-3x-3=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 5x(x+1)-3(x+1)=0[/tex]
Factor out the common term [tex](x+1)[/tex]:
[tex]\implies (5x-3)(x+1)=0[/tex]
[tex]\implies (5x-3)=0\implies x=\dfrac35=0.6[/tex]
[tex]\implies (x+1)=0 \implies x=-1[/tex]
Therefore, the x-intercepts are (0.6, 0) and (-1, 0)
Part B
As the leading coefficient of the quadratic is positive, the parabola will open upwards. This means that the vertex will be a minimum point.
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\sf midpoint=\dfrac{-1+0.6}{2}=-0.2[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]f(-0.2)=5(-0.2)^2+2(-0.2)-3=-3.2[/tex]
Therefore, the vertex is (-0.2, -3.2)
Part C
Plot the zeros and the vertex.
The axis of symmetry is the x value of the vertex, so ensure that the graph is symmetrical about x = -0.2.
Related Questions
Unite rate on graph it’s hard
Answers
Answer: question c (don’t know if it’s correct)
Step-by-step explanation:
The graph shows the time, hours, and how much it takes the rowboat to travel in 1 mile.
What fraction of the bones in a typical human body are in the skull, face, and ears? Show how you found your answer.
Answers
Answer:
28/206 or the simplest form would be 14/103
Step-by-step explanation:
Basically, you add the skull, face, and ears and you get a number which is 28 and the total of the bones is 206 if you add all of the numbers and if you want to simplify you divide both of the numbers/the numerator and denominator by 2 and you get 14/103.
The value of fraction of the bones in a typical human body are in the skull, face, and ears is,
⇒ 28 / 206
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The table shown the bones in a typical human body.
Hence, Number of the skull, face, and ears bones is,
⇒ 8 + 14 + 6
⇒ 28
And, Total number of bones is,
⇒ 206
Thus, The value of fraction of the bones in a typical human body are in the skull, face, and ears is,
⇒ 28 / 206
Learn more about the fraction visit:
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I'd also appreciate if someone would help me out with this, thank you
Answers
Answer:
c=42
Step-by-step explanation:
First you would find out how much you would add to 45 to give you 66. Which is 21. Then you double it, so when you put it over the two it looks like this 42/2. So when you reduce the fraction you get 21. Hence 21+45=66.
Hope this helps!
Answer:
C = 42
Step-by-step explanation:
½ c + 45 = 66
½ c + 45 − 45 = 66 − 45
2 × (½ c) = 2 × 21
C = 42
Please HELP I WILL GIVE BRAINLYEST
Answers
Answer:
From left to right, 3, 21, -3, -21
Step-by-step explanation:
Please help, will give brainliest if possible.
Answers
Answer:
Step-by-step explanation:
Directions
Open the compass legs to some radius more than 1/2 the length of WX. It does not matter what the exact value as long as it is more than 1/2 way.
Put the pin end on X and draw an arc with the penciled end. Make sure that the arc you are drawing is both above and below the line WX.
Transfer the pin end to W and draw another arc so that the new arc intersects the first arc drawn from x. Make sure that the new arc is above and below the line WX
With the straight edge as a guide, draw a line between the two intersected arcs. Where lines intersect each other is where the perpendicular bisector intersects WX
Scott and Isaac went to the school carnival. Scott ride on 5 rides and played 4 games. Isaac rode on 7 rides played 2 games. If Scott payed 19 tickets and Isaac payed 23 tickets, how many tickets did a ride cost?
Answers
Answer:
The cost of the rides are 3 tickets
And 1 ticket per game
The ride and game cost 3 tickets and 1 ticket for each respectively.
Step-by-step explanation:
Step 1 of 5
Let a be the number of tickets per ride costs. And b be the number of tickets per game costs.Thus from the given, we get the equations. For Scott, 5a+4b=19 For Isaac, 7a+2b=23
Step 2 of 5
Multiplying the equation 2 by 2, we get 5a+4b=19→1 14a+4b=46→2
Step 3 of 5
By subtracting both the equations, we get
(−)5a+4b=1914a+4b=46
_____________
−9a =−27
a=−27−9⇒a=3
Step 4 of 5
Substituting the above value in the equation 1, we get5(3)+4b=1915+4b=194b=19−154b=4b=44⇒b=1
Step 5 of 5
The solution is (3,1).The cost of the rides is 3 tickets per ride.The cost of the games is 1 ticket per game.
sorry its really confusing this how I was taught tho.
Brainliest! please be right tho, if your not my mommy wil never lov me aagain!!!!!!!!! PLS
Complete the missing number problem.
N = 6 × (12 - 4)
N = _ × _
N = _
Answers
Answer:
N = 48 N = 6 x 8
Step-by-step explanation:
12 - 4 is 8. 6 x 8 is 48 so N is 48. N is 6 x 8 because 6 x 8 is 48.
Answer:
N=6×8
N=48
Step-by-step explanation:
I hope it's helpful for you ｡◕‿◕｡your mom always love you heheePlease help needed its due soon
Answers
Answer: 2144.66 in cubed (The third answer)
Step-by-step explanation: I just used the formula for volume of a shpere using the radius (half of the diameter)
answer)
Step-by-step explanation: I just used the
formula for volume of a shpere using the
radius (half of the diameter)
GIVING BRAINLIEST!!!
(08.04)Information about the age of participants in a robotics competition is below:
A box plot titled "Age of Participants" and labeled "Age" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 31 on the number line. A line in the box is at 16. The whiskers end at 11 and 33.
The middle 50% of the data is between what two numbers?
16 and 33
13 and 31
11 and 33
11 and 16
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Answer: The middle 50% is between 13 and 31
Step-by-step explanation:
The median is 16
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Answers
Answer: C=2πr
is your answer :P
Step-by-step explanation: Have a nice day!
Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. Are these samples representative of the school population? Explain.
A. No, the samples are not large enough to be representative.
B. Yes, both samples are random, so they are representative.
C. No, the samples might include some of the same people, so they are not representative.
D. Yes, the samples do not include the same people, so they are representative.
Answers
Answer:
The answer is B.
Step-by-step explanation:
You only surveyed 15 people out of what could be 300. The samples is too little because the more you survey the more accurate it will be.
can someone help ? this was due quite a while ago (real answers only)
Answers
Answer:
1.) 45 2.) 93 3.) 80
Step-by-step explanation:
Answer:
Triangle 1: 45
Triangle 2: 93
Triangle 3: 80
Step-by-step explanation:
All triangle angles must equal 180 degrees!!!
Now lets solve :)
Triangle 1
45 + 90 + x = 180
135 + x = 180
180 - 135 = 45
x = 45 :)
Triangle 2
36 + 51 + x = 180
87 + x = 180
180 - 87 = 93
x = 93 :)
Triangle 3
63 + 37 + x = 180
100 + x = 180
180 - 100 = 80
x = 80
Have an amazing day!!
Please rate and mark brainliest!!
Use the diagram below & your knowledge of inscribed angles of a quadrilateral to label the measures of EACH inscribed angle and minor arc, given that the m∠D=110°,m BC= 80°; m CD =60°.
Answers
Answer:
If two inscribed angles of a circle intercept the same arc or congruent arcs, then the angles are congruent. Since ∠A and ∠B both intercept arc CD , m∠A ...
Step-by-step explanation:
When soccer games are tied at the end of overtime, they are decided by penalty kicks. Each team gets `5` kicks. A coach knows that her team typically makes a penalty kick about `60\%` of the time. She decides to run a simulation of this situation. Based on these results, estimate the probability that the team makes `4` or more penalty kicks.
I need help!
Answers
Answer:
33%
Step-by-step explanation:
if you add the amount of penalty kicks in 4 or more, it is 33 and total of all penalty kicks is 100 so it probability is 33/100= 33%
Below is the table of values of a function. Write the output when the input is n .
Answers
Answer:
The ouput of n would be 14 if we make n = 12
Step-by-step explanation:
The input plus two more is equal to the output
1. Since the input is a variable we can make any number the input
2. I'll use 12 as the input
3. According to the table The output is always equal to the input +2
4. 12 +2 = 14
5. The output of n would be 14 if we used 12 as an input.
please help me on this
Answers
Answer:
223.25 - 11.25 - 26.50p = 0
p = 8
Step-by-step explanation:
223.25 - 11.25 - 26.50p = 0
212 - 26.50p = 0
-26.50p = -212
26.50p = 212
p = 212/26.50
p = 8
Reupload of a question. I wasted my points on the other one.
Answers
part 3 of the notes some more coming
Answers
To find 6% of 530 you multiple
530*0.06 = 31.8
A submarine submerges from the surface of the sea at the rate of 10 m/min. How long will it take to reach 300 m below the sea level
Answers
Answer:
answer is 300m/30min
Step-by-step explanation:
300\10=30
Given the speed of the submarine, the total time it will take to cover the the given distance is 30 minutes.
How long will it take the submarine to reach 300 m below the sea level?Using the expression Time = distance / speed.
Given that;
Speed = 10m/minDistance = 300mTime = ?Time = distance / speed
Time = 300m / 10m/min
Time = 30 minutes
Given the speed of the submarine, the total time it will take to cover the the given distance is 30 minutes.
Learn more about speed here: brainly.com/question/7359669
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Maria needs 361 programs for the school play on Thursday. How many boxes of programs will she need, given that each box contains 42 programs?
Answers
What is a valid conclusion that can be reached by reading the graph?
A. Twenty people were surveyed.
B. Less than 20 people were surveyed.
C. More than 20 people were surveyed.
D. The survey should have include more people.
Answers
Answer:
uhhh...C?
Step-by-step explanation:
because there isnt less and there isnt just 20
the answer is C because you add the numbers for where the bar is reaching
From a pile of 100 cards labeled 1-100, one card is pulled at random. Which event has the probability of occurring closest to 0.5?
A.
pulling the card labeled 50
B.
pulling either the card labeled 1 or the card labeled 100
C.
pulling a card with an odd number
D.
pulling a card containing the digit 5
Answers
Answer:
d
Step-by-step explanation:
sceenshot please answer it math problem
Answers
Answer:
Step-by-step explanation:
2.
area= length x width
area = 5.4 x 5.4 = 29.16 cm^2
perimeter is adding up all the sides
perimeter= 5.4+5.4+5.4+5.4 = 21.6 cm
1. area= 7.4 x 5.1 = 37.74 yds^2
perimeter= 7.4+7.4+5.1+5.1 = 25 yds
When Mr. Johnson drives from Cambridge to Newton it takes
him 15 minutes travelling at a speed of 80 miles per hour. Mrs.
Johnson drives from Cambridge to Newton and leaves 10
minutes after Mr. Johnson but travels at a speed of 100 miles per
hour. Who will arrive first? By how many minutes?
Answers
Answer:
Mr. Johnson completed his travel in 15 minutes. But Mrs. Johnson leaves 10 minutes after he does. And to add her 12 minutes travel time, that means Mrs. Johnson will arrive in 22minutes.
Step-by-step explanation:
First, we need to find the distance (d) that Mr. Johnson traveled to be able to compute Mrs. Johnson's travel time.
To be able to do that, use the formula d = (s)(t).
d = (80miles/hr)(15mins)
d = (80miles/hr)(0.25hr)
d = 20 miles
Now that we know the distance from Cambridge to Newton, we can use this value to calculate the time Mrs. Johnson needs to complete her travel.
Using the formula t = (d)/(s);
t = (20miles)/(100miles/hr); we get:
t = 0.2hr or 12minutes
please help me with this question
Answers
18/18=1
Write the function h(x) if f(x) = radical x is reflected across the y- axis, stretched vertically by a scale factor of 6, and then translated 4 units down.
(Their Is no options for the question)
(And my keyboard don’t have a radical sign)
Please Help me anyways :)
Answers
Answer:
i dont understand this question- explain more and i can help you alr?
Please i need help on my math
Answers
Answer:
[tex]V = \pi (2.5)^2h[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder, is V = π r^2 h. It shows that the diameter is 5. But we need the radius. The radius is half of the diameter. So, 5/2. This gets you 2.5.
The equation is now:
V = π(2.5)^2h
This is the answer.
[tex]V = \pi (2.5)^2h[/tex]
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Answers
Answer:
Y < 20
Step-by-step explanation:
put a open circle on 20 and make a straight line 19-5
this means that any of the number less than 20 can be y
Please evaluate the expression and explain how you solved it: -12 / -4 - 8
Answers
Answer:
-12 / -4 - 8 is done with the order of operations, Exponents, parentheses, multiply/divide and add/sub. your answer bleow.
Step-by-step explanation:
-12 / -4 -8
-12/-4 = -16 - 8 = -24 (It is reverse when negative)
Help me with this i need the answer quick please
Answers
Answer:
1 = non proportional
Step-by-step explanation:
2 = proportional