Answers
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the [tex]x[/tex]-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a polynomial of degree 2, which is a fancy way of saying that something is a quadratic), the [tex]x[/tex]-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve [tex](x-3)(x-7)=0[/tex], which gives [tex]x-3=0 \vee x-7=0[/tex] (the 'V' stands for 'or'). We can take the average of the two roots to get the [tex]x[/tex]-coordinate of the minimum point of the graph (which, in this case, is [tex]x=\frac{3+7}{2} = \frac{10}{2} = 5[/tex]).
Having the [tex]x[/tex]-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the [tex]y[/tex]-coordinate of the extremum.
Related Questions
1. Circle the figure you would use to make the Escher‐like tessellation given.
Answers
Answer:
b ? i have never seen anything like this though so please dont take my word
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP NOW PLEASSEE ! Find the mean absolute deviation
Answers
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answers
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
NEED HELP WITH GEOMETRY
Answers
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
M< 1 = 37
M< 2 = 50
M< 3 = 50
M< 4 = 40
Pls help ASAP PLS PLS PLS
Answers
Answer:
Step-by-step explanation:
Let the exponential function for the given table is,
f(x) = a(b)ˣ
Here, f(x) = Price of the item after 'x' years
a = Initial price of the item
b = Growth factor
x = Duration(years) from year 1913
By exponential regression calculator,
Exponential function represented by the table will be,
f(x) = 7.822(1.034)ˣ
Now we have to calculate the price of the item in year 2025.
Difference in time = 2025 - 1913
= 112 years
Price of the item after 112 years,
f(112) = 7.822(1.034)¹¹²
= $330.840
Round 1.18769843885 to 5 decimal places
Answers
Answer:
1.18770
Step-by-step explanation:
zzzzzzzzzzzzzzzzz
The rounding up of 1.18769843885 to 5 decimal places is 1.18770.
What is the rounding up of numbers in decimal places?The rounding up of numbers is an estimate that says if a digit is more than 5, that number can be considered as one and added to the next preceding number.
To round up a number in a decimal place, we need to start counting our decimal place after the decimal point.
Here,
we are to round 1.18769843885 to 5 decimal placesSo, 1.18769843885 becomes:
= 1.18770
Learn more about rounding up in decimal places here:
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What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)
Answers
Answer:
B
Step-by-step explanation:
25/10=2.5
Answer:
2.5
Step-by-step explanation:
what is the area of the triangle?
Answers
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).
Answers
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope-intercept equation for graph a: y = -x + 1
standard-form equation for graph a: x + y = 1
:::::
Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2
Slope-intercept equation for graph b: y = 2x-2
Standard form: 2x-y = 2
A triangle with the angle
72°, 48°and 60°
Determine if the following statement are possible or impossible
Answers
Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answers
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
Answers
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
Determine whether the ratios 1:1 and 6:6 are equivalent
Answers
Answer:
its is because if you divide 6:6 by 6 it equals 1:1
Step-by-step explanation:
plz brainliest i need it to rank up
Answer:
They are equivalent
Step-by-step explanation:
1:1 is the same as 6:6 because 6:6 is technically 1:1 when you divide both sides by 6.
nesesito ayuda con este problema
Answers
Answer:
Step-by-step explanation:
I KNOW SPEAK SPANISH GO TO A MEXICAN SITE NOT A AMERICAN SITE
x=5
y=52
since AB and BC are the same length, you know it is an isosceles triangle
so two of the angles are the same
angle A and angle C are the same
so y = 52
A = C :. y = 52
all angles of a triangle add to 180
so add 52 and 52 to get 104
subtract 104 from 180 to get 76
set 14x + 6 = 76
14x = 70
x = 5
Find 142.1% of 469.6. Round to the nearest thousandth.
Answers
Answer:
667.302???
Step-by-step explanation:
I tried my best but I don't know if it's right though
URGENT SOMEONE PLEASE HELP!!
Answers
Answer:
45°
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
Answer:
1: 90 degrees
2: 45 degrees
3: 8
Step-by-step explanation:
This is the only reasonable answer
How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft
Answers
Answer:
15.5
Step-by-step explanation:
on edguenity
Answer:
15.5
Step-by-step explanation:
trust
A $65.00 coat is now on sale for $52.00. What percent discount is given.
Answers
65-52=13
13x100
65 = 20%
the discount is given 20%
how can equations help you model the relationship between two quantities
Answers
Answer:
I dosent show anything that I should solve
Step-by-step explanation:
All the pencils have the same width. How wide is each pencil? (the struggle is real lemme just say)
Answers
Answer:
2 centimeters wide? I-
Step-by-step explanation:
Need help with math points and brainlest
Answers
Answer:
Step-by-step explanation:
use long division to rewrite the expression in an equivalent form as q(x) + r(x)/b(x) , where q(x) is the quotient, r(x) is the x^3 - 2x^2 - 4/ (x-3)
Answers
Answer:
that looks hard good luck
Answer:
x^2 + x + 3 + 5/(x - 3)
Step-by-step explanation:
x - 3) x^3 - 2x^2 + 0x - 4( x^2 + x + 3
x^3 - 3x^2
x^2 + 0x
x^2 - 3x
3x - 4
3x - 9
5
So the answer is x^2 + x + 3 + 5/(x - 3)
You flip 15 fair coins once. What is the probability of getting at least 12 heads?
Answers
Answer:
0.017578 or 1.76%
Step-by-step explanation:
The probability of getting at least 12 heads is 0.01757.
What is Binomial Distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1- p), depending on the outcome's boolean value.
Given a coin is tossed 15 times,
to find the probability of getting 12 heads,
P(X ≥ 12) Probability of at least 12 successes
At least 12 successes include X-values of
X=12, 13, 14, 15
To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,
P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
p(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 15
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ + ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴
+ ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵
P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045 + .0000030
P(X ≥ 12) = 0.01757
Hence probability is 0.01757.
Learn more about Binomial Distribution;
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Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it
Answers
Answer:
The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
Step-by-step explanation:
Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:
[tex]A = \sin^{-1} \frac{3}{7}[/tex]
[tex]A \approx 25.377^{\circ}[/tex]
Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
-7r2 + 7r + 2 = 2
Find Discriminant
Answers
Answer:
r = 1 , 0
Step-by-step explanation:
-7[tex]r^{2}[/tex] + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Answers
Yes this is a function because for any input value (x) you will get a unique output value (y).
$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.
Answers
Answer:
i think you want to know what is the total it is 87.5
Step-by-step explanation:
Answer:
You pay $168.75
You save $81.25
Step-by-step explanation:
First you find the 25% off
25% of 250 is 187.50
That is 62.50 saved
Now subtract 187.50 by 10%
10% of 187.50 is 168.75
That is 18.75 saved
x = 6y – 14
-X + 9y = 17
Answers
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answers
Answer:
Olivia-2.25
Hope I helped
What is 6 to 8 and 18 to X
Answers
Answer:
The answer is 24
Step-by-step explanation:
STEP 1:
[tex]6x = 18 \times 8[/tex]
18 * 8 = 144
So, 6x=144
STEP 2:
Divide both sides by 6:
[tex] \frac{6x}{6} = \frac{144}{6} [/tex]
Then, you get 24
So, your answer is 24.