f(x) = — 3х2 – 6х +5
maximum and minimum value
Answers
9514 1404 393
Answer:
maximum: 8; no minimum
Step-by-step explanation:
A graph can be useful. I find a graphing calculator handy. It shows the maximum of the function is f(-1) = 8. Since the parabola goes to -∞ for large values of x, there is no minimum.
maximum: 8
__
You can also find the maximum by putting the function in vertex form.
-3(x^2 +2x) +5 . . . . factor the leading coefficient from the x terms
-3(x^2 +2x +1) +5 -(-3)(1) . . . . add the square of half the x-coefficient, subtract the equivalent amount
-3(x +1)^2 +8 . . . . . . the vertex form of the expression for f(x)
This form is ...
a(x -h)^2 +k . . . . . with a=-3, h=-1, k=8
so the vertex is (h, k) = (-1, 8) -- the same as shown on the graph. The negative value of 'a' tells you the parabola opens downward, so the vertex is the maximum. The maximum is 8 at x = -1.
Related Questions
ten less than a number is at least -8. Solve the inequality.
Answers
Answer:
[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]
a number. n, plus 10 is less than 34
Answers
Answer:
N+10<34
Step-by-step explanation:
I think that's the answer if it's asking you to write an equation.
The diagram shows a triangle.
13.4 cm
7.6 cm
Work out the area of the triangle.
Answers
Answer:
Area of the triangle = 12.92 cm²
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
From the figure attached,
Length of base of the triangle = 7.6 cm
Length of the height of the triangle = 3.4 cm
Area of the triangle = [tex]\frac{1}{2}(7.6)(3.4)[/tex]
= 12.92 square cm
Which equation has an infinite number of solutions?
O A. 7(1 - 4x) + 3x = 7
B. 5(2 - 4x) + 4x = 10
C. 8(2 - 2x) + 16x = 9
D. 6(3 - 2x) + 12x = 18
Answers
Answer:
b
Step-by-step explanation:
Mr. Parkers class has created a list of different ways heat transfer happens in Earths systems. The list is shown here.
Answers
Answer:
I'm sorry but I don't see the list
Step-by-step explanation:
Please help!!!
What else would need to be congruent to show that AABC = ADEF by ASA?
B
E
500
50-
457
A
C
F
O A. ZCEF
O B. BC = EF
O C. ZA ZD
D. AC & DE
Answers
Answer:
bc = ef
Step-by-step explanation:
I just took the test
Similar triangles may or may not be congruent
The true statement is (b) BC EF
From the question, we have the following highlights about the triangles
The angles at points C and F are congruent (45 degrees)The angles at points B and E are congruent (50 degrees)The above represents the AA theorem
For the triangles to be similar by ASA, then the side lengths between the equal angles must be similar
The side lengths are BC and EF
Hence, the true statement is (b) BC EF
Read more about similar triangles at:
https://brainly.com/question/14285697
the ratio of boys to girls in a class is 3:5. how many girls if there are 27 boys
Answers
Answer:
45 girls
Step-by-step explanation:
since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls
90% as a fraction. 3/100. 9/100. 90/100
Answers
Answer:
90/100
Step-by-step explanation:
percentages are fractions out of 100
Answer:
90/100
Step-by-step explanation:
90/100 is the same as 0.9, which is the same thing as 90%!
Hope it helps!
Aubrey is using a kitchen scale to weigh some chicken. Her scale only gives weight in grams and she needs to know the weight in pounds. The scale displays 5,042 grams. What is the weight in pounds?
Answers
Answer:
11.1157073 lbs
Step-by-step explanation:
Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold 6,400 worth of stocks. If he averages that same amount each week, how much did he make in commission in 2011?
Answers
Answer:
$43,264
Step-by-step explanation:
Given :
% Commission earned per week = 13%
Worth of stock sold last week = 6400
If same amount is averaged each week during 2011 ;
Number of weeks per year = 52
Worth of stock for the year = (6400 * 52) = $332,800
Average Commission for the year = 13% of 332,800
0.13 * 332,800
= $43,264
I need help please- I’ll give BRAINLIEST for the right answer?
Answers
Answer:
c = 29
Step-by-step explanation
heeyyyy I know this question was posted a long time ago, but uhhhhhh I felt like answering anyways sooooooo
Ok, so since the angle across from b is 97˚, that means b is 97˚ as well.
So then we have 54 + 97 + c = 180
151 + c = 180
c = 29
A semicircle has radius 8.2cm
Answers
What is 82,711 in expanded
form
Answers
Answer:
80000+2000+700+10+1
Step-by-step explanation:
Answer: 80,000+2,000+700+10+1
Step-by-step explanation:
Simplify the following expression:
4n − m + 3p + 2m − n − p
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4n−m+3p+2m−n−p Equation
Step 2
4n−m+3p+2m−n−p Simplify by combining terms
(-m+2m)+(4n+-n)+(3p+-p)
Step 3
(-m+2m)+(4n+-n)+(3p+-p) Add them together
m+3n+2p
Answer
m+3n+2p
Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price she paid for the shirt (including the cost of shipping). What is the selling price of each T-shirt?
Answers
Answer: She should sell each T-Shirt for at least $4.41
Step-by-step explanation:
First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt
Click on all the coordinate pairs that are solutions to y =2x^2 + 3x + 1.
A(0,1)
B( 1,0)
D (1,6)
C(2,11)
D(2, 15)
Answers
Answer:
I think it’s A C E
Step-by-step explanation:
In the United States, the waterfall with the greatest single drop is Ribbon Falls in California which drops 1, 612 feet. Find its height in kilometers. 1 mi
Answers
Answer:
0.4913376 km
Step-by-step explanation:
To solve the given question above, we have our conversion factor
1 foot = 0.000305 kilometre
1,612 feet = x km
Cross Multiply
xkm = 1612 × 0.000305
xkm = 0.4913376 km
Therefore, the height in Kilometers is 0.4913376km
Help pleaseee I need to answer this!!!
Answers
Answer:
a is your answer
Step-by-step explanation:
;)
Select the letter of the correct answer.
Suppose a group of Hawaiians trying to be more food self-sufficient consists of 17 people who
farm, 12 people who hunt, and 15 people who fish. If a person is chosen at random, what would
be the probability of choosing a hunter? Round your answer to the nearest whole percent.
A 34 percent
B 27 percent
C 38 percent
D 24 percent
Answers
could you awnser both questions please
Answers
Answer:
2) answer: 21
4) answer: 8
Step-by-step explanation:
just substitute 6 for n and -2 for t and solve the expressions
what is the common ratio of the geometric sequence -2, 8, -32, 128
Answers
Answer:
r = - 4
Step-by-step explanation:
The common ratio r of the geometric sequence is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{8}{-2}[/tex] = - 4
Out of the 20 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's
class have a pet?
The percent of students in Mrs. Green's class that have a pet is _____
%.
Answers
You just have to divide 8/20 = .4 and then move the decimal twice to the right to get the percentage
Helpppp plzzzzzzzzzz
Answers
Given:
Two numbers are 32 and 28.
To find:
The GCF of 32 and 28 and using the GCF find the factor of (32-28).
Solution:
(a)
Two numbers are 32 and 28. The factor form of given numbers are:
[tex]32=2\times 2\times 2\times 2\times 2[/tex]
[tex]28=2\times 2\times 7[/tex]
Clearly, 2 and 2 are common factors in both.
[tex]GCF(32,28)=2\times 2[/tex]
[tex]GCF(32,28)=4[/tex]
Therefore, the GCF of 32 and 28 is 4.
(b)
Using the GCF we need to find the factor of (32-28).
[tex]32-28=4\times 8-4\times 7[/tex]
Taking out the GCF, we get
[tex]32-28=4\times (8-7)[/tex]
Therefore, [tex]32-28=4\times (8-7)[/tex].
The number of terms the series above is
Answers
Answer:
4
Step-by-step explanation:
On Edg
In the provided sequence there are four terms after expanding the sequence and the sequence is 0 + 3 + 8 + 15.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
3
Σ n(n + 2)
n = 0
After expanding the above sequence:
= 0(0 + 2) + 1(1 + 2) + 2(2 + 2) + 3(3 + 2)
= 0 + 3 + 2(4) + 3(5)
= 0 + 3 + 8 + 15
As we can see in the above sequence there are four terms.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
Thus, in the provided sequence there are four terms after expanding the sequence and the sequence is 0 + 3 + 8 + 15.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Simplify this fraction:
35 56
Answers
Answer:
5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
HOPE THIS HELPS!!!
Paula had read 25% of the total pages in a book she is reading for english class. Paula had read 84 pages. Write an equation to determine how many pages are in the book and how many pages she has read.
Answers
Answer:84
84*4=336
Step-by-step explanation:
25% of 336 is 84
How do you find the inverse of f(x) = 3x -4? what is it?
Answers
Answer:
x= x/3 + 4/3
Step-by-step explanation:
A particle moves along a horizontal line. Its position function is s(t) for t is greater than or equal to 0. For each problem, find the velocity function v(t) and the acceleration function a(t).
1. s(t) = -t^4 + 12t^3
2. s(t) = -t^4 + 8t^3
Answers
Answer:
1) Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Step-by-step explanation:
From Physics we remember that velocity ([tex]v(t)[/tex]) and acceleration ([tex]a(t)[/tex]) are the first and second derivatives of the function position in time. That is:
1) Let [tex]s(t) = -t^{4}+12\cdot t^{3}[/tex], where [tex]t \ge 0[/tex]. The functions velocity and aceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+36\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+72\cdot t[/tex]
2) Let [tex]s(t) = -t^{4}+8\cdot t^{3}[/tex], where [tex]t\ge 0[/tex]. The functions velocity and acceleration are, respectively:
Velocity
[tex]v(t) = -4\cdot t^{3}+24\cdot t^{2}[/tex]
Acceleration
[tex]a(t) = -12\cdot t^{2}+48\cdot t[/tex]
Factor the trinomial 3x^2+19x-14
Answers
Answer:
(3−2)(+7)
Step-by-step explanation:
3x^2+19x-14
3x^2+21x-2x-14
3x(x+7)-2(x+7)
(3x-2)(x+7)
For what value of x is JKLM a parallelogram?
A. 7
B. 14
C. 21
D. 28
Answers
8. Show that JKLM is a parallelogram for x = 7 and y = 14. 9
Hope that helps (:
The required value of x in the JKLM parallelogram is 21. Option C is correct.
Given that,
For a parallelogram, JKLM, the value of x is to be determined.
A parallelogram is a quadrilateral consisting of pairs of parallel sides.
Here,
For the parallelogram, the sum of the adjacent angle is 180°. So,
3x + 20 + 5x - 8 = 180
8x = 180 - 12
x = 168 / 8
x = 21
Thus, the required value of x in the JKLM parallelogram is 21. Option C is correct.
Learn more about parallelograms here: https://brainly.com/question/14984005
#SPJ5