f(x) = — 3х2 – 6х +5
maximum and minimum value
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.
help me if ya know this please :D
Answer:
C
Step-by-step explanation:
Key skills needed: Understanding inequalities, Understanding variables
1) The inequality is [tex]120\geq 12x + 29[/tex]
2) This means that 12x + 29 is at most 120, not at least. At least means greater than or equal to. At most means less than or equal to.
3) 29 is the initial amount --> So C is the answer. C says that 29 is the initial amount, and 12 coins are being added every year (k is the number of years). C also says "AT MOST".
Therefore C is the answer
Hope you understood and have a nice day!! :D
I’d really appreciate it if ANYONE would help me with this <3
Answer:
If I could rearrange the alphabet, I’d put ‘U’ and ‘I’ together
Step-by-step explanation:
find the value of x. What kind of angles are these?
Answer:
[tex]\displaystyle Corresponding\:Angles; 40 = x[/tex]
Step-by-step explanation:
Corresponding Angles are congruent, therefore you set both angle measures equal to each other:
[tex]\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x[/tex]
I am joyous to assist you at any time.
Hey there!
The answer to your question is [tex]x = 40[/tex]
These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, [tex](3x + 15)[/tex] is equal to [tex]135[/tex]°:
[tex]3x + 15 = 135[/tex]
Subtract [tex]15[/tex] from both sides:
[tex]3x = 120[/tex]
Divide both sides by [tex]3[/tex]:
[tex]x = 40[/tex]
Have a terrificly amazing day!
2. 6 to the 8th power =
Answer:
48
Step-by-step explanation:
Can I get brainlyest I’m one away from expert
Tameca already has $55
dollars in her savings account. If
she puts $5 per week in her
account, write and solve an inequality
inequality to find out how man
weeks she must save to have a
least $100 in her account.
Answer:
5x+55=100
Step-by-step explanation:
Find the value of x please hurry
Answer:
x+133= 130
maybe
Step-by-step explanation:
In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points that Tyler scored, which equations are correct? Select all that apply.
c = 1.5t
c = t + 0.5
c = t + 0.5t
c = t + 50
c = (1 + 0.5)t
Answer:
c = t + 0.5t
c = (1 + 0.5)t
Step-by-step explanation:
:(:(:(:(:(:(:(:(:(:(:(:(::(
Answer:
12
Step-by-step explanation:
Let's simplify each term.
[tex](\frac{1}{4})^{2} = 0.0625[/tex]
[tex]4^{3} =64[/tex]
[tex](4-1) = 3[/tex]
Now we multiply:
[tex]0.0625*64*3 = 12[/tex]
Hope this helps!
Answer:
9
Step-by-step explanation:1/4 *2= 1/4*2/1=2/8
2/8*(4 to the 3ed power)*(4-1)
4 to the 3ed power= 12
2/8*12*(4-1)
4-1=3
2/8*12*3=
2/8*12=24/8
24/8*3= 24/8*3/1=72/8 divied by 6=1 1/2
hope this helps... i think its right
Hejka wie ktoś jak rozwiązać zad 1 i 2 ze strony 39 w ćwiczeniach dla klas 6 matematyka z plusem wersja B
Answer:Nie wydaje mi się, żeby było mi przykro, stary też spróbuj użyć tłumacza i uczyń go angielskim, aby więcej osób mogło ci pomóc
Step-by-step explanation:
Can Ifede defeat 7 trolls and 15 goblins without running out of spells?
Answer:
yes
Step-by-step explanation:
EXPLORE
Liam is selling chocolate bars and
dum-dums to raise money for a schod
trip. The chocolate bars cost $.75 each
and the dum-dums cost $025 each which
inequality represents the number of
chocolate bars, c, and the number of
dum-dums, d sold to raise at least 500?
EXPLAIN
APPLY
SHARE
A. 250 + 0.75d < 300
B. .25d + 0.750 S 300
C. .250 + 0.750 300
D. .25d + 0.750 > 300
REFLECT
EXTE
Answer:B
Step-by-step explanation:it's obvious
Royston plays a video game 7 times. His scores are 60, 65, 66, 74, 69, 72, and 63. Which is the best measure of center of Rayston's performance?
a. median
b. middle number
c. mean
d. mode
Answer:
The mean will be the best instrument to measure Royston's performance
Step-by-step explanation:
hope this helps
Evaluate.
15C5=
(answer with no camas or decimals)
Answer:
[tex]^{15} C_{5} = 3,003 \\[/tex]
Step-by-step explanation:
here , we want to evaluate the value of 15 combination 5
Mathematically, we have the general combination formula as follows;
[tex]{n} C^{r} =\frac{n!}{(n-r)!r!}[/tex]
In this case , n is 15 and r is 5
Thus , we have it that;
[tex]^{15} C_{5} = \frac{15!}{(15-5)!5!} \\= \frac{15!}{10!5!} =\frac{15x14x13x12x11x10!}{10!5!} \\=\frac{15x14x13x12x11}{5!} \\\frac{15x14x13x12x11}{5x4x3x2xx1}=3,003\\[/tex]
PLEASE MARK ME AS BRAINLIEST
After evaluating, we get [tex]^{15} C_{5}=3003[/tex]
Combination :The combination of selecting r object from n object is given as,
[tex]^{n} C_{r}=\frac{n!}{r!(n-r)!}[/tex]
We have to find [tex]^{15} C_{5}[/tex].
[tex]^{15} C_{5}=\frac{15!}{5!*10!} \\\\^{15} C_{5}=\frac{15*14*13*12*11*10!}{(5*4*3*2*1)*(10!)} \\\\^{15} C_{5}==\frac{360360}{120} \\\\^{15} C_{5}=3003[/tex]
Learn more about the Permutation and combination here:
https://brainly.com/question/11732255
HELP ME ILL GIVE YOU 20 POINTSSSS
3^3-2(3)
=3^3-6
=27-6
=21
So, ans is option 1
Answer: 21
Step-by-step explanation:
3^3 − 2 ⋅ 3
Simplify each term.
Raise 3 to the power of 3.
27 − 2 ⋅ 3
Multiply −2 by 3.
27 − 6
Subtract 6 from 27.
21
Here are two sums 12/15 + 1/3 and 6/7-1/3which of the two sums is closer in value to 1/2
Answer:
The second one
Step-by-step explanation:
Answer:
Simplify
58 /35
(Decimal: 1.657143)
Step-by-step explanation:
4. Given: a + m = n, n= 4a; Prove: m = 3a
Answer:
Proof below
Step-by-step explanation:
Algebraic Manipulation
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence proved
Answer:
Below
Step-by-step explanation:
Algebraic Manipulation
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence prove
What is constant of proportionality?
→←
Answer:
Constant of proportionality is the ratio between two quantities. Y and x have to be proportional to each other.
Step-by-step explanation:
This would be represented as k=y/x
No. Zachary should have drawn the first two arcs with the compass centered at B.
Yes. Zachary correctly constructed the median from C to AB¯¯¯¯¯¯¯¯.
No. Zachary should have drawn the second pair of arcs using a different compass width.
Yes. Zachary correctly constructed the median from A to CD¯¯¯¯¯¯¯¯.
Answer:
what's the question.. I'll help
write the equation of the line if fully simplified slope intercept form
We’re doing slopes please HELPP I’ll mark brainliest
Questions 6-9 are Rectangles, use the properties of rectangles to help you solve.
VW= __________
WX=__________
YW=__________
ZX=__________
VX=__________
Answer:
VW= 31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Find the missing length indicated!
(100, 64, x )
Answer:
I don't think it's any of them, is it supposed to add up to 180? If so 100 + 64 obviously equals 164, and 164 -180 equals 16 but there's no 16 as an answer choice
pls pls help!! it's due in a few minutes!!
Answer:
its hard to understand sorry
A package of 5 pairs of insulated socks costs $39.45. What is the unit price of the pairs of socks?
Answer:
7.89
Step-by-step explanation:
Answer:
the answer is 7.89
Step-by-step explanation:
39.45/5
7.89
8x+ 7y =39
8x + 2y = 34
What is x and y
Answer:
y= 1 and X=4
Step-by-step explanation:
8x +7y =39
8x +2y =34
elimination method(we multiply 8x+7y=39 or 8x + 2y= 34 by -1 to eliminate 8x)
lets multiply 8x+7y = 39 by - 1
-8x -7y = -39
8x +2y = 34
(8x-8x)+(2y-7y)= (-39+34)
0 + (-5y) = -5
-5y= -5......dividing both sides by -5
y = 1
8x +2y =34....... substituting y by 1
8x +2(1)= 34
8x + 2= 34
8x = 34-2
8x = 32.....dividing both sides by 8
x = 4
Lets check;
8x +2y = 34
8(4) +2(1) = 34
32 + 2 =34
34 = 34
8x + 7y = 39
8(4) + 7(1) = 39
32 + 7 =39
39 = 39
The graph of y=f(x) is shown below.
What point could be used to find f(2)?
Answer: The answer is A hope it helps.
Step-by-step explanation:
20 POINTS!!!!
Write an algebraic expression or equation
The product of nine and the sum of a number and four.
Answer:
9(4 + x)
Step-by-step explanation:
the product of 9
9 *
the sum of a number (x) and four
x + 4
the product of 9 and the sum of a number and four
9 * (x + 4)
I usually walk at a speed of 0.75 miles per 30 minutes. How long will it take me to walk from my house to the supermarket 1.5 miles down the road?
Answer:
It will take you 1 hour to walk 1.5 miles.
Step-by-step explanation:
A local hamburger shop sold a combined total of 567 hamburgers and cheeseburgers on Sunday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer:
634
Step-by-step explanation:
add the two 60's together, you get 120, then ad the 7's you get 14, 120+14=134 and 134+500=634 hope this helped :D