Answer:
5x²
-1/2( x+8)
Step-by-step explanation:
The dominant term is 2x^2 *x or 2x^3
We want to know what happens when x goes to negative ∞
2 ( -∞) ^3 → 2 * (-∞) → -∞
As long as we multiply by a positive number, we will still be approaching negative infinity ( or decreasing)
-3 is negative
.2x is negative when x approaches negative infinity
.5 x^2 = .5( -∞)^2 = 5 ( ∞) = ∞ which is positive
-1/2 x is the dominant term = -1/2(- ∞) = ∞ which is positive
4(2x) is the dominant term = 8(- ∞) = - ∞ which is negative
Answer:
3rd and 4th Choices.
[tex]\displaystyle 5x^2\text{ and } -\frac{1}{2}(x+8)[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=(2x^2+5)(x-7)[/tex]
And we want to determine the factor(s) that we can multiply to the above function that will cause the graph of f to decrease as x approaches negative infinity.
We can see that the dominant term will be:
[tex]2x^2(x)=2x^3[/tex]
Thus:
[tex]2(-\infty)^3\Rightarrow -\infty[/tex]
It is already decreasing (shifting towards negative infinity) as x approaches negative infinity.
In order to preserve this, then, the factors must be positive as x approaches negative infinity.
The first factor is -3.
-3 is always negative, so it will make f increase.
The second factor is [tex]0.2x[/tex].
[tex]0.2(-\infty)\Rightarrow -\infty[/tex]
This will also make f increase.
The third factor is:
[tex]5(\infty)^2\Rightarrow \infty[/tex]
This is positive, so it will allow f to remain decreasing as x approaches negative infinity.
The fourth factor is:
[tex]\displaystyle -\frac{1}{2}(-\infty+8)\Rightarrow -\frac{1}{2}(-\infty)\Rightarrow \infty[/tex]
This is also positive, so it will also allow f to remain decreasing.
Lastly, the fifth factor is:
[tex]4(2(-\infty)-7)\Rightarrow 4(-\infty)\Rightarrow -\infty[/tex]
This is negative, so it will make f increasing.
Therefore, our answers are the third and fourth choices.
The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees
Answer:
m(arc CD) = 14.1 cm
Step-by-step explanation:
Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here 'r' = radius of the circle
θ = Angle subtended by the arc at the center of the circle
From triangle OED,
sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]
sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]
= [tex]\frac{6.35}{9.06}[/tex]
= 0.7
m∠EOD = 44.498
≈ 44.5°
Angle subtended by the arc CD at the center = m∠COD
= 2(44.5)
= 89°
m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]
= 14.07
≈ 14.1 cm
The dot plot below shows the number of siblings each student in Gina's after-school program has.
Number of Siblings Each Student Has
::
5
6
2 3
4
Number of Siblings
The total number of students in Gina's after-school program is
The number of students who have 4 or more siblings is
A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.
According to the given data
The total number of students in Gina's after-school program is 15 students.
Now,
The number of students who have 4 or more siblings is = 3+1 = 4
Learn more about dot plot here:
https://brainly.com/question/12845469
#SPJ6
The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A
=============================================================
Work Shown:
Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.
For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit
tan(angle) = opposite/adjacent
tan(60) = sqrt(3)/1
tan(60) = sqrt(3)
Answer: tan 60° = √3
Step-by-step explanation: a p e x (screenshot proof)
ANSWER ASAP!!!!!!!!!!!!!!!
Answer:
linear and increasing
Step-by-step explanation:
uwu
Which expression is equivalent to
3x + 2(4y + x)?
Hurry please, thanks!
Answer:
A.
Step-by-step explanation:
What is the area of this figure?
A 806.5
B 1159.5
C 2268.5
D 4174.5
Answer:
Step-by-step explanation:
A806.5
Answer:
806.5 answer
Step-by-step explanation:
Answer this question please
Answer:
The answer is A
Step-by-step explanation:
Do on the first row, you see 1 tab of 5's
then on the left, you see 1 tab of 3's
So the answer is A!!!
help plsssss ayuda pls
Answer:
PERDON POR HACER ESTO
Step-by-step explanation:
NO ENTIENDO
Slope is
1
2
y-intercept is 7
Asapppp. Hurrryyyy
Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
a- 10
b- 70
c- 110
d- 170
Step-by-step explanation:
step 1. 2x + 50 and 7x are vertical angles
step 2. vertical angles are equal
step 3. 2x + 50 = 7x
step 4. 5x = 50, x= 10
step 5. <AEB = 2x + 50 = 2(10) + 50 = 70.
The bigger
the number the more
factor pairs it has.
Use examples to show that Dexter is wrong.
Answer:
See Explanation
Step-by-step explanation:
Required
Prove that Dexter is wrong
To prove that Dexter is wrong, we use the following numbers.
[tex]Number = 4[/tex]
The factors are:
[tex]Factor = 1,2\ and\ 4[/tex]
3 factors
Using a greater number:
[tex]Number = 5[/tex]
The factors are:
[tex]Factor = 1\ and\ 5[/tex]
2 factors
From the above analysis:
4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors
This shows that Dexter is wrong
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]
Now,
The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
So,
Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]
∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]
= [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
Help 20 points + brainiest answer
Find the 8th term of the geometric sequence 3, 12, 48, ....
Answer:
The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)
So, the required 8th term is 49152.
Geometric Series:The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.
The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]
And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]
The given series is,
3, 12, 48, ....
First term=3
The common ratio is,
[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]
So, the given series is geometric series so the 8th term by the above formula is,
[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]
Learn more about the topic Geometric Series:
https://brainly.com/question/26042879
Andrew had 30 dollars to spend on 3 gifts. He spent 8
1
4
dollars on gift A and 5
4
5
dollars on gift B. How much money did he have left for gift C?
Andrew has 17 dollars left for gift c
Find the value of x. Please help!
Answer:
x = 3
Step-by-step explanation:
Using the triangle similarity theorem
x/x+3 = x+3/12
Cross multiply
12x = (x+3)(x+3)
12x = x²+3x+3x+9
12x = x²+6x+9
x²+6x+9-12x = 0
x²-6x+9 = 0
Factorize
x²-3x-3x+9 = 0
x(x-3)-3(x-3) = 0
x - 3 = 0
x = 3 twice
Hence the value of x is 3
sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3.
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
Running out of time, Could i please get help
Answer:
D
Step-by-step explanation:
For an expansion (ax+b)^c the row that will help you is the c'th one
He is using the c'th row so look for something in the form (ax+b)^15
Only one that fits is D
surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans
What is the answer to the following?
Answer:
63
Step-by-step explanation:
Answer:
63 degrees
Step-by-step explanation:
3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2
Answer:
70-14=56 168-56=112
Step-by-step explanation:
solve d+7=13 please!!!
Answer:
d=6
Step-by-step explanation:
d+7=13
-7 -7
-----------
d=6
Answer:
hi
Step-by-step explanation:
[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]
have a nice day bye
Help I don’t know the answer
Answer:
the last one
Step-by-step explanation:
the input cannot be negative
What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4
Step-by-step explanation:
4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8
42 divided 8
5,25
cmiiw!
) تعتبر الدالتين و المعرفتين على R
تمثيليهما البيانيين (C) و(C) على التوالي.
(أنظر الشكل المقابل)
(C)
بقراءة بيانية:
عين (0) ، (1)، (3) ، (0)g
g(3) ،g (1)
* عين السواق الممكنة للعدد 2- بالدالة
و للعدد 4- بالدالة g
شکل جدول تغيرات الدالة g
1
: شكل جدول إشارة الدالة .
(C)
حدد القيمين الحدين العظمى والصغرى
الدالة g على المجال [3 ;1-.
حل المعادلة و المتراجحة التالين:
f(x) = g(a)
f(x) > g(s) +
Answer:
Can you transalate
Step-by-step explanation:
Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease.
Round your answer to the nearest percent.
Do NOT round until you have calculated the final answer.
Answer:
The percent decrease was of 32%.
Step-by-step explanation:
The percent decrease is the decrease multiplied by 100, and divided by the initial value.
Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month.
So a decrease of 83.75 - 56.95 = $26.80
Percent decrease:
26.80*100/83.75 = 32%
The percent decrease was of 32%.