Hi there!
[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]
Simply substitute x = 3 in the expression.
[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]
Questions can be asked through comment.
Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.
Hope this helps, and Happy Learning! :)
1. Find the slope of the line that goes through the points (2, 5) and (6, 7)
Answer:
[tex]\displaystyle m = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 5)
Point (6, 7)
Step 2: Find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{7-5}{6-2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{4}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder
Answer:
6.4 cones full of water
Step-by-step explanation:
Given data
Radius of cone= 6inches
Slant height= 10 inches
Volume of cone= 1/3πr^2h
V= 1/3*3.142*6^2*10
V= 1/3*3.142*36*10
V= 1/3*1131.12
V= 377.04 cubic inches
Radius of right cylinder= 8 inches
Height= 12 inches
Volume of cylinder= πr^2h
Volume= 3.142*8^2*12
Volume= 3.142*64*12
Volume=2413.056 cubic inches
Hence the number of cone full of water needed to fill the cylinder is
=Volume of cylinder/volume of cone
=2413.056/377.04
=6.4 cones full of water
PLEASE ANSWER THISSSSSSSSSSSSSSSSSSSSS
Answer: A
Step-by-step explanation: Because there 3 data points in each quartile which are lower quartile, median, and upper quartile to form four groups in the dataset.
Choice B is not correct because you don't know how many people have no pets. Choice C is not correct because it is exactly 75% of people own one or more pets. Choice D is not correct because 3/4 have between 1 and 6 pets not 1/2.
Hope it helps :)
$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP
Help plz..And No links!! I repeat No links!!
Answer:
8,8 is correct answer please Like me
Answer:
Step-by-step explanation:
scale factor=4
The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?
Answer:
15
Step-by-step explanation:
The length of BC=20cm I think
Order these numbers from least to greatest.
8.7, 8.6072, 8.67, 7.855
Answer:
7.855, 8.6072, 8.67, 8.7
Answer:
numbers from least to greatest.
are:
7.8558.60728.678.7I WILL GIVE BRAINLIEST IF ANSWER CORRECT
Solve the following inequality: 3 < x/2 + 1 *
Answer: x>9
Step-by-step explanation:
3 < x/2+1
switch sides: x/2+1 > 3
Multiply sides by 3: 3x/2+1 > 3*3
Simplify: x>9
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.
units2
Answer:
A = 64 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi * 8^2
A = 64 pi
please factor and find the zeros of each relation (18 marks)
C. y = 30x^2 + 44x +16
D. y = 10x^2 + 60x + 80
Answer:
[tex]C. \ \frac{-2}{3} , \ \frac{-4}{5}\\\\D. \ -2, \ -4[/tex]
Step-by-step explanation:
C.
[tex]30x^2 + 44x +16 = 0\\\\2(15x^2 + 22 + 8) = 0\\\\2(15x^2 + 12x + 10x + 8) = 0\\\\2(3x(5x + 4)+2(5x + 4))=0\\\\2((3x + 2)(5x + 4)) = 0\\\\Zeroes : 3x + 2 = 0 => x = \frac{-2}{3}\\[/tex]
[tex]5x+ 4 = 0 => x = \frac{-4}{5}[/tex]
D.
[tex]10x^2 + 60x +80 = 0\\\\10(x^2 + 6x + 8)= 0\\\\10(x^2 + 4x + 2x + 8)=0\\\\10(x(x+4)+2(x+4))=0\\\\10((x+2)(x+4))=0\\\\Zeroes : x + 2 = 0 =>x = -2[/tex]
[tex]x + 4 = 0 => x= -4[/tex]
Two stores carry a similar stereo for the same original price and $573. Store A offers a 25% discount and the Store B sells the stereo for $446.94. Which store gives the bigger percent discount
Answer:
Razz
May 30, 2O21
100 - 16 = 84
.84*573 = 481.32
which is more than 458.40
Out of $132,624, how much money will be remaining with the company after purchasing 1184 hard drives for $112 each?
Answer:
$16
Step-by-step explanation:
Given data
Total amount= $132,624
Cost of each hard drive= $112
Total number of hard drive=1184
Cost of all the hard drives= 112*1184
Cost of all the hard drives=$132608
Balance will be= 132,624-132608
Balance will be= $16
You want to create a rectangular display board and line it with string lights. You want the lights to go along the two sides and the top, but not along the bottom. You have 40 feet of lights to use. What is the maximum size the display area can be to give the maximum area? What is the maximum display area?
pls help ily
Answer:
The maximum display area is 200sq. Ft. (square feet)
The maximum size of the lights is 20ft for the top and 10 ft for the sides
Step-by-step explanation:
I’m gonna delete this tmr because teacher checks this website I think
A circle has a circumference of 3.14 units.
What is the diameter of the circle?
Answer:
1 unit
Step-by-step explanation:
divide by pi (3.14) to get the diameter of a circle
2x-y=0 3x=2y=-3
I’m not sure the correct steps to solve.
Answer:
x = 3 and y = 6
Step-by-step explanation:
The given equations are :
2x-y=0 ......(1)
3x-2y=-3 .....(2)
We need to solve equations (1) and (2).
Equation (1) can be written as :
2x = y
Put the value of y in equation (2)
3x-2(2x)=-3
3x-4x = -3
-x = -3
x = 3
Put the valye of x in equation (1)
2(3)-y=0
y = 6
Hence, the value of x = 3 and y = 6.
Can someone help with this math question please?
May someone please help me?
Answer:
The 3rd table
Step-by-step explanation:
The x values are dividing by 5 to get the y values. The table is proportional because it's a pattern not just random values.
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
#1 determine the slope of :2x+4y=-16 ?
answer
Answer:
-1/2
Step-by-step explanation:
Find the slope by rearranging the equation into y = mx + b form, where m is the slope.
2x + 4y = -16
Subtract 2x from both sides:
4y = -2x - 16
Divide each side by 4:
y = -1/2x - 4
So, the slope is -1/2.
China consumes 4 x 10^9 tons of coal, while japan about 2 x 10^8 tons of coal. Approximately how many times the amount of that japan consumed did china consumed
Answer:
20 times
Step-by-step explanation:
This is calculated as:
The number of coal China consumes ÷ The number of coal Japan consumes
The number of coal China consumes =4 × 10⁹
The number of coal Japan consumes
= 2 × 10⁸
4 × 10⁹/2 × 10⁸
= 20 times
Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.
Answer:
Step-by-step explanation:
you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)
- 1 2 3 4 5 6
1 0 1 2 3 4 5
2 -1 0 1 2 3 4
3 -2 -1 0 1 2 3
4 -3 -2 -1 0 1 2
5 -4 -3 -2 -1 0 1
6 -5 -4 -3 -2 -1 0
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
The Glendale Plaza Building in Glendale, California, is 353 feet tall. The U.S. Bank Tower in Los Angeles, California, is 1,017 feet tall. Which building is taller?
Answer:
The U.S Bank Tower
Step-by-step explanation:
I hope this helps
The number of apple slices placed in 5 different pies is listed below. 94, 90, 82, 94, 85 What is the difference between the mean and the mode of these numbers?
Answer:
Mode: 94
Mean: 89
Difference between them: 5
Step-by-step explanation:
Can I get a good explanation on SAS Triangle Congruence? (35 points)
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.
For example - In the attached picture,
KL = XY∠KLM = ∠XYZLM = YZTherefore, ΔKLM ≅ ΔXYZ
(By SAS criteria)
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Area of square is
a 2(l+b)
b l+b
c l²
d l³
[tex] \huge \huge \huge\square[/tex]
Here All Sides Are Equal So,
Area = side × side= side²
So Assuming Side As 'l'
so, l×l = l²
Option C= l²Hope This Helps You ❤️Which statement best describes the use of a stimulation to predict the probability that two randomly chosen people will both have their birthdays on a monday
Answer:
The answer is "The Last choice".
Step-by-step explanation:
Please find the complete question in the attached file.
It is the phrase that perfectly represents the usage of a simulation for an estimate of the likelihood of the birthday of 2 randomly chosen persons on a Monday.
In a week there are 7 days, so seven choices are available, and just one Monday. Therefore, it is probable that [tex]\frac{1}{7}[/tex] will occur on a Monday to a birthday individual.
The first person will have a probability [tex]\frac{1}{7}[/tex].
The second person also has a probability [tex]\frac{1}{7}[/tex] .
PLEASE HELP PLEASE IM STUCK PLEASEEE
Answer:
Step-by-step explanation:
since it's a square we know the two sides are equal. So set them equal and solve for X
a)
4x + 3 = 3x +17
4x-3x = 17 -3
x = 14
Since we now know X plug it into the expression for the angle
b)
5(14) + 4y = 90 ( 90° b/c we know the angle is equal to that )
70 4y = 90
4y = 90-70
4y = 20
y = 20/4
y = 5
c)
we can find the perimeter by just plugging in X to either of the expressions for the side and then multiplying that by 4, since there are 4 sides
4(14) +3
56 +3
59
now times 4 for each side
59*4= 236