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
3.
The students in a class were surveyed to find out how many people live in their households.
The results of the survey are shown in the dot plot below.
Number of People in Household
What percent of the class has a household of 7 or 8 people?
Answers
Answer:
it is number 4
Step-by-step explanation:
What is the value of r of the geometric series?
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1.3 (0.8) Superscript n minus 1
Answers
Answer:
A) 0.8
Step-by-step explanation:
0.8 on edge.
The value of r of the geometric series is 4/5.
What is geometric series?
The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
Given the formula for the geometric series expressed as
[tex]_3\\\sum{1.3(0.8)^n^-^1}\\n=1[/tex]
Comparing both equations
rⁿ⁻¹ = (0.8)ⁿ⁻¹
r = 0.8
r = 8/10
r = 4/5
Hence, the common ratio is 4/5.
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What is equivalent to 3;4
Answers
Answer:
6;8
3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.
Alexis was making cupcakes for the town bake sale. She decorated 9
cupcakes in 30 minutes. If Alexis continued decorating cupcakes at
this rate, how many cupcakes would she decorate in 2 hours?
Johnny said that Alexis would be able to decorate 18 cupcakes in 2
hours. Is Johnny correct? If not, explain his mistake and identify the
correct solution.
Answers
Answer:
Incorrect
Step-by-step explanation:
because it takes 30 min to bake 9 which is half an hour, and if if you multiply 9 by 4 which 30 mins each it would be 36 cupcakes in 2 hours.
A bag of apples weighs 7kg, correct to
the nearest kilogram.
What is the least possible weight of the
bag of apples?
Answers
If I sell all 80 tickets, I will have completed Il
% of my goal.
Answers
Could someone help me that knows and won't put a bad answer. 30 points.
Answers
Answer:
line D
Step-by-step explanation:
The slope of the line D is y= 1/2x-1.5
Can someone help me with this equation.
Answers
Answer:
use photomath
Step-by-step explanation:
it's really easy just simply download it then scan your problem
Answer:
use photo math
Step-by-step explanation:
it helps a lot!
The value of a painting has a growth factor of 107. The current value of the painting is $345. How much was it orginally worth when you purchased it 10 years ago
Answers
Answer:
70$
Step-by-step explanation:
I need help pleaseeeee
Answers
Answer:
The value will be positive because there are five minus signs which means negative but the there are two minus before the biggest number which means positive.
What is the Circumference of the circle below? (Use 3 for π)
Answers
Answer: The circumference of this circle with 3 for pi is 108 m.
Step-by-step explanation: The formula for the circumference of a circle is 2 pi r. So, plug in the values. 2 x 3 x 18 is equal to 108. Therefore, the circumference of this circle is 108 m.
Determinar el complemento del ángulo 67 grados centígrados
Answers
Answer:
spooky spooky spooky I no speak Spanish
Step-by-step explanation:
same
PLS HELP I ONLY HAVE UNTIL TOMORROW, I WILL GIVE BRAINLIEST TO WHO ANSWERS CORRECTLY AND EXPLAINS
Answers
The distance around a lake is 8km on a map this distance around the lake is represented by 2 cm The on the map is what
Answers
Answer:
1 cm = 4 km.
Step-by-step explanation:
I think you want the scale of the map.
It is 1 cm = 8/2 = 4 km.
At a pet store, a survey was taken asking how many pets each person had. The
results were: (2,5, 3, 1, 0, 4, 2, 7,0, 2, 7,3). What is the mode?
Answers
Answer:
2
Step-by-step explanation:
We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3
The mode is the most common value. I can see 3 two's in the data set. The mode is 2.
#SpreadTheLove <3
Slope please help me find it need done today
Answers
Answer:
5. - 1/9
6. 4
7. 5
8. 5
Step-by-step explanation:
The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?
Answers
Answer:
96320
Step-by-step explanation:
The population of Buhlerville will be 96320
in which table is y a linear near function of x will mark brainest
Answers
possibly c, I'm not that good with math
pls give brainliest
f(x) = x^2 -2x -3 /x-3 identify the discontinuity
Answers
Answer:
Step-by-step explanation:
Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)
The denominator is x-3. Division by 0 is undefined, so x ≠ 3.
1/4 divided by 3 1/2
Answers
Answer:
1/14
Step-by-step explanation:
dont really know how to explain... just make sure to change both to a common denominator
Answer:
1/14
Step-by-step explanation:
PLEASE HELP NEED IT ASAP!!! FOR A UNIT TEST!!!
Write the slope-intercept equation for the line that is perpendicular to:
y = -2x + 3 and passes through (-4, 5)
Answers
Answer:
Y=1/2x+7
Step-by-step explanation:
0.75 times what equals 3
What is the answer
Answers
Answer:
4
3/.75=4
divide 3 by point seven five
'Nine less than the product of four and a number
Answers
Answer:
(4 x X)-9
Step-by-step explanation:
I think this is correct pls tell me if this is wrong
Hope this helps
The algebraic expression of Nine less than the product of four and a number is 4x-9.
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is 'Nine less than the product of four and a number.
We need to write this sentence as an algebraic expression.
We know that less than means there we used subtraction.
Product in the sentence means multiplication.
Let us consider x as the unknown number in the given expression.
the product of four and a number means four is multiplied with x. which is 4x.
Nine less than the product of four and a number
4x-9
Hence, the algebraic expression of Nine less than the product of four and a number is 4x-9.
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what is m/a
side a
side b
Answers
010. Tyler's brother works in a shoe store. Tyler's brother earns a commission. He
makes 2.5% of the amount he sells. Last week, he sold $800 worth of shoes. How
much was his commission?
PLSS I NEED HELP
Answers
Answer:
$20
Step-by-step explanation:
800 × 2.5% = $20
Glad I could help!
How do i draw a growth triangle for the problem y= 2x-3? I have to find M and B
Answers
Using the equation y=Mx+B
Arthur walked 6 kilometers around the park, and D.W. sprinted 200 m at the park. How many meters did they travel in total?
Answers
Answer:
6200 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer should be 6200
I REALLY NEED HELP ITS WORTH 30 POINTS
Answers
Answer:
1) x < 30
2) x > 20
3) x >= 250
4) x > 20
5-10) I cant see the numbers on the graph
Step-by-step explanation:
Answer:
For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..
x>30
remember, open circles mean that its it can't be greater for symbols like < and >
closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥
I will give someone 100 points if they give me a brainliest
Answers
Answer:
ok
but why?
hmm
Let ∠1, ∠2, and ∠3 have the following relationships.
I WILL GIVE 20 POINTS PLS
∠1 and ∠2 are adjacent right angles.
∠1 and ∠3 are vertical angles.
What is the measure of ∠1 plus the measure of ∠3 minus the measure of ∠2?
Answers
Answer: If 1 and 2 are adjacent right angles, they are both 90º.
1 and 3 are vertical, which means they must be congruent, so 3 is also 90º
So: 90 + 90 - 90 = 90
Step-by-step explanation:
