In this case to calculate the limit, you simply plug the x value of -2 into the function
[tex]y = \lim_{x \to \--2}( -3x^3+2x^2-4x+5) = 24 + 8+8+5 = 45\\[/tex]
So the limit equals 45.
Hope that helps!
Answer:
[tex]\displaystyle y = 45[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \lim_{x \to -2} \big[ -3x^3 + 2x^2 - 4x + 5][/tex]
Step 2: Find Limit
[Limit] Limit Rule [Variable Direct Substitution]: [tex]\displaystyle y = -3(-2)^3 + 2(-2)^2 - 4(-2) + 5[/tex]Evaluate: [tex]\displaystyle y = 45[/tex]∴ the limit as x approaches -2 of the given function -3x³ + 2x² - 4x + 5 is equal to 45.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
find the area of the hexagon
Answer:
78
Step-by-step explanation:
7*10 = 70
4*2 = 8
There are 12 birds sitting on a wire. Four-sixths of the birds are black. How many black birds are sitting on the wire?
Answer:
8
Step-by-step explanation:
4/6 out of 12 is 8,so There are 8 black birds.
Hope this helps
David bought 5/6 of a pound of candy. He would like to split it between his 5 friends. What fraction of the candy will each friend receive?
Answer:
Each friend will get 1/6 pounds of candy.Step-by-step explanation:
We know that:
David buys 5/6 pounds of candy.David splits it among his 5 friends.Now, we know that:
5/6 - (1/6 * 5) should be the equation.Now, we solve:
5/6 - (1/6 * 5)= 5/6 - 5/6= 0.Each friend will get 1/6 pounds of candy.
what is the simplified equation is equivalent to 9+6x+2x-1=24
Answer:
You would have to combine terms that are the same
6x + 2x = 8x
9-1 = 8
8x + 8 =24
This is simplified enough so your answer is 8x + 8 = 24
Step-by-step explanation:
Answer: I believe its 8+8x=24
Step-by-step explanation:
What expression represents the length of one side of the square? 1+2x+x^2
Answer:
side length = x +1
Step-by-step explanation:
have a nice day
PLEASE HELP I WILL MARK BRAINLIEST
Which of the following has a graph that does NOT intersect with the graph of y = x2 + 3?
A. y = 2x – 5
B. y = −2x + 2
C. y = 3x + 3
D. y = −3x + 5
Answer:
A.
Step-by-step explanation:
Line A has a slope of 2 and the line in the question also has a slope of 2.
Lines with the same slope are parallel.
Parallel lines never intersect.
Hope this helps!
3) Write an equation in slope intercept form for each line of the right
Line
Help pls this is due today so i need a fast answer
Monomials!!!!!! HELP!!!!!!
-7m - m^2 + 4m^2 - 3m
[tex][Hello,BrainlyUser][/tex]
Answer:
[tex]3m^2-10m[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
[tex]-7m-m^2+4m^2-3m[/tex]
Combine Like Terms:
[tex]=-7m+-m^2+4m^2+-3m[/tex]
[tex]=(-m^2+4m^2)+(-7m+-3m)[/tex]
[tex]=3m^2+-10m[/tex]
[tex][CloudyBreeze][/tex]
Answer:
[tex]-10m+3m^2[/tex]
Step-by-step explanation:
[tex]-7m - m^2 + 4m^2 - 3m[/tex]
[tex]-7m^1 - 1m^2 + 4m^2 - 3m^1[/tex]
[tex]-7m^1-3m^1=-10m[/tex]
[tex]-1m^2+4m^2=3m^2[/tex]
[tex]-10m+3m^2[/tex]
Hope this helps!
Help me, please. I will be giving brainlyist to the first person to answer
Answer:
Mr Batista should bring more 82 cups.
Step-by-step explanation:
there are 36 cups in 1 package.for 12 packages: [ 12 * 36 ] = 432 cups - this many cups he brought.solve:
→ 514 - 36(12)
→ 514 - 432
→ 82
He needs more 82 cups and did not bring enough.
susan ran a race she ran 5 miles an hour, and the race took her t hours to complete
A trucker needs to know if his trailer is wide enough for his load. He knows the diagonal length of the trailer is 60 ft and the length is 48 ft. He also knows that the diagonal width is 45 ft. Use the measurements to find the width of the trailer
Write y−9=−6(x+9) in slope intercept form
answer:
! y − 9= −6(x+9) in slope intercept form is y = -6x - 45
y=-6x-36 is the slope intercept form of equation y−9=−6(x+9).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y−9=−6(x+9)
y−9=−6(x+9)
Apply distributive property on right hand side
y-9=-6x-45
Add 9 on both sides
y=-6x-36
Hence, y=-6x-36 is the slope intercept form of equation y−9=−6(x+9).
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Jon noeds 1/3 cup of
chocolate chips to make
cookies and 3/4 cup to make
brownies. How many cups
does she need altogether?
Answer: 1 1/12
Step-by-step explanation:
1/3 + 3/4 =
1/3 x 4= 4/12
3/4 x 3 = 9/12
9/12 + 4/12 = 13/12 = 1 1/12
Work out the perimeter of the shape
Answer:
34cm
Step-by-step explanation:
2+1+8+3+8+3+2+7
Select all pairs of corresponding angles. Assume the lines are parallel
Answer:
1 and 5
4 and 8
2 and 6
3 and 7
Step-by-step explanation:
Anyone can obviously tell they are not parallel at all so I'm not sure why they say to assume.
According to a website, corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal. Therefore, the following are corresponding angles:
1 and 5
4 and 8
2 and 6
3 and 7
2) How many sides does a regular polygon have if the interior angles each measure 156 degrees ?
A) 12 sides
B) 15 sides
C)24 sides
D) 30 sides
Answer:
B; 15 sides
Step-by-step explanation:
The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid,
where x is the number of years since 1992.
Coffee Stores
y
2,400
2,200
2,000
1,800
ñ 1,600
6 1,400
Number of Stores
1,200
1,000
800
600
400
200
X
0
1 2 3 4 5 6 7 8 9 10
Number of Years Since 1992
Based on the graph, which statement does NOT appear to be true?
Answer:since 1992 the coffee company has opened 250 stores each year!
Step-by-step explanation:
The statement Not True Since 1992 the coffee company has opened 250 stores each year.
What is Exponential Function?A relation of the form y = [tex]a^x[/tex], with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
As, after the first year approximately 100 stores were opened.
Between the first and second year approximately 100 stores were opened,
and, between the second and third year approximately 200 stores were opened, etc.
Thus, the incorrect option here:
Since 1992 the coffee company has opened 250 stores each year.
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Angle 3 and 4 are supplementary angles if m 4=100^0 and m 3=(11x)^0 find the value of x
Answer:
x = 7.272727...
x ~= 7.27 (nearest hundredth)
x ~= 7.3 (nearest tenth)
Step-by-step explanation:
"Supplementary" means the angles add up to 180°.
100 + 11x = 180
11x = 80
x = 7.272727...
Penny buys 3 bouquets for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny buys?
A.
33 2+ 4
B.
33 4+ 2
C.
33 + 4 × 2
D.
32 + 4 × 2
A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).
On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).
What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units.
Answer: The base is 5 units and the height is 9 units.
Step-by-step explanation:
Find the distance between each point:
Base can be calculated as the distance from A to B: Since y-coordinates are the same, subtract the x-coordinates: | - 4 - 1 | = 5
Height can be calculated as the distance from B to C: Since x-coordinates are the same, subtract the y-coordinates: | 8 - (-1) | = 9
Remember its distance, and that can't be negative, so take the absolute value of the results
Please help me solve this i will give a BRAINLY
Answer:
26 : 63
Step-by-step explanation:
Answer:
26 over 63
i think i hope
Step-by-step explanation:
I WILL MARK AS BRAIN-LIST PLEASE HELP ME
Answer:X=12
Step-by-step explanation:
Solve for x. NEED ANSWER!!!
Answer:
x = 16
Step-by-step explanation:
The 3 exterior angles of a triangle sum to 360°
sum the exterior angles and equate to 360
5x + 12 +10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 16
Step-by-step explanation:
The 3 exterior angles of a triangle sum to 360°
sum the exterior angles and equate to 360
5x + 12 +10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
•
1. Michael deposits $120 into a new savings account.
The account earns 5.5% simple interest per year.
No money is added or removed from the savings account for 5 years.
What is the total amount of money in her savings account at the end of the 5 years.
A. $ 127.50
B. $ 85
C. $ 153
D. $ 330
Answer:
I53 $
Step-by-step explanation:
So, now we can set up the proportion:
5.5 x
-------- = ------
100 120
We need to find the value of x.
120 × 5.5 = 660
660 ÷ 100 = 6.6
So, now we know 6.6 is the amount Michael gets every year for interest.
Let's multiply that over 5 years.
5 × 6.6 = 33.
So, in total interest, Michael got 33$ in 5 years. Let's add that amount to the amount he originally added to into his savings account.
33 + 120 = 153.
Therefore, 153 will be the answer.
-kiniwih426
The magnitude of an earthquake, R, can be measured by the equation r=log(a/t)+d, where A is the amplitude in micrometers, T is measured in seconds, and D accounts for the weakening of the earthquake due to the distance from the epicenter. If an earthquake occurred for 4 seconds and D = 2, which graph would model the correct amount on the Richter scale?
Functions can be represented using equations and graphs
The function that represents the magnitude of an earthquake, R, is [tex]r = \log(0.25a) + 2[/tex]
How to determine the graph of the functionThe equation of the function is given as:
[tex]r = \log(a/t) + d[/tex]
From the question, we have the following parameters
t = 4 seconds
D =2
So, the function becomes
[tex]r = \log(a/4) + 2[/tex]
Divide a by 4
[tex]r = \log(0.25a) + 2[/tex]
Next, we plot the graph of the function (see attachment)
Read more about graphs and functions at:
https://brainly.com/question/14323743
Answer:
WAHAHAH It's the second graph
Step-by-step explanation:
(B) na im sayin
Natalie has 412 apples that she must package into bags. Each bag must hold 8 apples. Natalie divides 412 by 8 and gets an answer of 51 R 4.
What is the correct interpretation of R 4 for this situation? pls help here are the answers
Natalie can fill 4 more bags after filling 51 bags.
Natalie has 4 bags left after filling 51 bags.
Natalie has 4 apples left after filling 51 bags.
Natalie can fill at most 51 bags with 4 apples each
Answer:
Natalie has 4 apples left
Step-by-step explanation:
one bag is 8 apples and only has 4 left so it cant fill another bag let alone 4, so a is out. Natalie has 4 apples, not 4 bags, so there goes B. The only one left is C Natalie has apples left after filling 51 bags.
The length of a rectangle is 4m longer than its width.
If the perimeter of the rectangle is 56m, find its length and width.
Call the length a, the width b
Perimeter = (a+b) x 2
We have : a - b = 4 and (a+b) x 2 = 56
-> a + b = 28
-> a - b = 4
=> a+b + (a-b) = 32
2a = 32
a = 16
b = 56:2-16 = 12
So, the length = 16 and the width = 12
Find the average distance of the orbit from the Sun to the nearest whole number. Use the Cube Root table provided
Quaoar is an object orbiting in an outer area of the solar system called the Kuiper belt. It is estimated to orbit the Sun once every 285 years.
O = 87 AU
O - 43 AU
O - 34 AU
O = 83 AU
*60 AU
We can estimate that the average distance is 43 AU, so the correct option is the second one.
How to find the average distance?
For an object orbiting the sun, the average distance of the orbit is:
[tex]r =\sqrt[3]{ (\frac{T }{2*3.14})^2*G*M }[/tex]
Where:
T is the period of the orbit, in this case, 285 years = 285*(3.154*10^7 s)G is the gravitational constant = 6.7*10^(-11) N*m/kgM is the mass of the sun = 1.989*10^30Replacing all that in the average distance equation we get:
[tex]r =\sqrt[3]{ (\frac{285*(3.154*10^7 s) }{2*3.14})^2*6.7*10^{-11} N*m/kg* 1.989*10^{30} \\}\\\\r = 6.387*10^{12}m[/tex]
Now, we know that:
1 AU = 1.49*10^(11) m
Then:
[tex]r = (6.487*10^{12}/1.49*10^{11}}) AU = 43.5 AU[/tex]
Rounding to the whole number below, we get 43 ua, so the correct option is the second one.
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can someone please help me out??
answer: graph has to go through (0,-8) and (48/5,0)
explanation:
1. you need to solve the equation where x=0 so there we get y= -8
2. you need to solve the equation where y=0 so we get 5/6 x -8 =0
5/6 x = 8 /*6
5x = 48 /÷5
x= 48/5
Joy organised a large wedding guests had to chose their meal from beef,chicken and vegetarian
Answer:
there are 276 guests
Step-by-step explanation:
add dem all up = 276
