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]
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
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
#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.
What is the solution to the equation below?
Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
============= ========
(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
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]
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d
if r = 9 in., what are the volumes for the cone, cylinder, and sphere?
I NEED HELP WITH THIS IT'S DUE TOMORROW!!
Step-by-step explanation:
the volume of :
cone = ⅓π.r².r= ⅓π.r³
cylinder = π.r²r= π.r³
Sphere = 4/3 π.r³
for r = 9 in =>
the volume of:
14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³
15. cylinder = π.9³ = 729π in³
16. Sphere = 4/3 π.9³ = 972π in³
17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =
1 : 3 : 4
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 ❤️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
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
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
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] .
$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP
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.
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
The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 birdhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?
Answer:
24
Step-by-step explanation:
if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27
Answer:
24 birdhouses
Step-by-step explanation:
This is a proportional relationship. y = kx, where k is the constant of proportionality. We can determine k as follows:
4 birdhouses = k(1 1/2 hours), which leads to:
4 birdhouses
------------------------- = 8/3 birdhouses/hr
3/2 hours
In 9 hours, Ben can make (8/3)(9) birdhouses: 24 birdhouses
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:
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 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
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
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 :)
I 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
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]Plzzz HUURRYYY and pls explain
Complete the working to expand and simplify:
3x(4x + 2) + 3(x + 4) = 12x2 +
X +
X +
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm
Write a direct proportion equation
that shows the price (y) for any
number of posters (x) that are $2.50
each.
A. y = kx
B. 2.50x = y
C. $2.50 = yx
D. 2.50y = x
how do i factor this problem?
help meeee please thuis is due at 2
Answer:
the answer is 20
Step-by-step explanation:
because if you add all of it you get 20