End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
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The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs according the table shown here. Determine if the function is linear or not.
both
neither
linear
nonlinear
Please help it’s urgent!!!
Answer:
do you still need help
Step-by-step explanation:
simplify pls
8(4x-12)
Answer:
32x-96
Step-by-step explanation:
8 · 4x = 32x
8 · 12 = 96
The triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
What is 9 divided by 0.17
Answer:
52.94
Step-by-step explanation:
Answer: It's 52.9411765
Evaluate x^2 when x= -2
help!!
-2
-4
2
4
Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.
Can someone help me with this question?
36x245
Find the value of X that makes ABC-DEF
Answer:
x=4
Step-by-step explanation:
The value of x from the given similar triangles is 7 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
The given triangles ABC and DEF are similar triangles.
Here, AB/DE =AC/DF =BC/EF
4/12 =8/3(x+1)
8/3(x+1) =1/3
24=3x+3
3x=24-3
3x=21
x=7
Therefore, the value of x is 7 units.
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The perimeter of the triangle below is 10x - 3
Show how to solve
Whoever answers first, I will give Brainliest! :)
Answer: b there are 12flasses
Step-by-step explanation:
The total surface area of this cuboid is 76 cm.
Find the value of x.
x cm
4 cm
5 cm
Answer:
76×5+4
380+4=384
a) This problem involves 8-digit binary strings such as 10011011 or
00001010.
i How many such strings are there?
ii. How many such strings end in 0?
iii. How many such strings have l's for their second and fourth digits?
iv. How many such strings have l's for their second or fourth digits?
b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,
7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the
left) followed by all the even digits.
c) How many permutations of the letters A, B, C, D, E, F, G are there in which
the three letters ABC appear consecutively, in alphabetical order?
Answer:
a)
i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.
ii) Each digit is set to 1 or 0 for exactly half of all combinations. This means that half of all strings, or 256 / 2 = 128 strings end with a zero.
iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit. If you consider:
Half of all digits will have the second bit set to 1
Half of all digits will have the fourth bit set to 1
Half of those will overlap
Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4
iv) This is a duplicate of iii, so again, 192
b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used. We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696
c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
number 2 is 20 percent so j
Step-by-step explanation:
Paul withdrew $17.25 from his savings account every week for 3 weeks. Which equation is the best choice to help him determine the total amount of money he withdrew?
Answer: (3)(−17.25) = −51.75; he withdrew $51.75
Step-by-step explanation:
hope it helped xx
I GIVEEEE BRAINLILST
Answer:
reduction
Step-by-step explanation:
the orange is a reduction of the black shape because it is the same shape just smaller
Answer:
it's a reduction because the new shape is smaller than the original shape
Step-by-step explanation:
the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?
Answer:
40.20cm approx
Step-by-step explanation:
Step one
given data
We are told that the dimension of a computer screen
diagonal= 52 cm
height= 33cm
Length = ?
Required
The length of the base of the screen
Step two
Let us use Pythagoras theorem to find the length of the base
Hyp^2= Opp^2+ Adj^2
52^2= 33^2+ L^2
2704= 1089+L^2
L^2= 2704-1089
L^2= 1615
L=√1615
L= 40.20cm approx
The length is 40.20cm approx.
A home-improvement store sold blinds for $35. A customer signed up for a free membership card and received a 7% discount off the price. Sales tax of 7% was applied after the discount. What was the final price of the blinds?
Answer:35
Step-by-step explanation:
35x93/100=32.55
32.55x107/100=35
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
i think it 0.4%
Step-by-step explanation:
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weighs 10 pounds. How much do the walnuts alone weigh?
Anyone know the answer?
Answer:
5 feet = 152.4 centimeters 10 inches =25.4
Step-by-step explanation:
I learned from my classes of how to convert feet to centimeters and etc.
Alex has 21 marbles. Zach has 19 times as many marbles as Alex. How many marbles does Zach have?
Answer:
399
Step-by-step explanation:
Zach has 21 * 19 marbles
Answer:
zach has 399 marbles
Step-by-step explanation:
according to the caluation
True or False: If an equation has different slopes, it has no solution.
Answer:
it's true. because it has more type of sums and head pain will come
Answer:
When two equations have the same slope but different y-axis, they are parallel. Since the two equations never intersect, the system has no solutions.
you can decide your answer from that explanation!
Write an algebraic expression for each verbal description. a number
!!please help me my assignment is due today at 9!!!
Thirty percent of the green house flowers are added to 25 ferns for the
school garden.
The algebraic expression is 0.3G+25F
What are algebraic expression?An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.
First, we can use G to represent green house flowers and F to represent ferns.
Then thirty percent of the green house flower can be represented by 0.3G.
25 ferns can be written as 25F.
The algebraic expression for the given verbal description is 0.3G+25F.
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PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST
Answer:
A A B
Step-by-step explanation:
Define the domain and range of the relation. (MAFS.912.F-IF.2.4)
{(2,3), (0, 3), (4, 2), (5, 6)}
domain
range
A customer wants to book a room with a seaview.
You show her 4 options but only 3 have sea views.
What fraction has a seaview?
Hw help ASAPPP
+10PTS