Answer:
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Step-by-step explanation:
Given
[tex]x^4 - 81[/tex]
Required
Write an equivalent expression
Express 81 as 9^2
[tex]x^4 - 81 = x^4 - 9^2[/tex]
Express x^4 as (x^2)^2
[tex]x^4 - 81 = (x^2)^2 - 9^2[/tex]
Apply difference of two squares:
[tex]x^4 - 81 = (x^2 - 9)(x^2 + 9)[/tex]
Express 9 as 3^2
[tex]x^4 - 81 = (x^2 - 3^2)(x^2 + 9)[/tex]
Apply difference of two squares
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Hence, an equivalent expression is: [tex](x - 3)(x+3)(x^2 + 9)[/tex]
Another way to write 3/4 cup is?
Answer:
0.75
Step-by-step explanation:
mark brainliest please
Answer:
The decimal form is 0.75 or you could write it as 6/8 or 9/12.
Step-by-step explanation:
3 divided by 4 is 0.75
Find the volume of a triangular prism where the base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.
Given:
The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.
To find:
The volume of the triangular prism.
Solution:
Base of a triangular prism is a triangle with base length 6ft and height 5 ft.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
So, the area of the base is
[tex]B=\dfrac{1}{2}\times 6\times 5[/tex]
[tex]B=\dfrac{30}{2}[/tex]
[tex]B=15[/tex]
Now, the volume of a triangular prism is
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting B=15 and h=7, we get
[tex]V=(15)(7)[/tex]
[tex]V=105[/tex]
Therefore, the volume of the triangular prism is 105 cubic ft.
Look at this set of ordered pairs:
(15,4)
(2, 1)
(20, 16)
(13, 14)
Is this relation a function?
yes
no
O Yes
Ο O No
Answer:
Yes
Step-by-step explanation:
function
A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.
Graph the linear equation y=2x-1.
Answer:
https://youtu.be/R0A-fEUWv1Y
Step-by-step explanation: I found this vid just watch this I hope it helps (just copy and paste)
The odds of winning a teddy bear are 5:8. The probability of winning a framed picture is 43%. For which do you have a better chance of winning?
Answer:
I'd say you had a better chance going 5:8
Teddy bear have a better chance of winning
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odds of winning a teddy bear are 5:8.
The probability of winning a framed picture is 43%.
We need to find which have a better chance of winning
Winning a teddy bear are 5:8
5/8
0.625×100=62.5
The odds of winning a teddy bear is 62.5%
The probability of winning a framed picture is 43%
The probability of winning teddy bear is greater than the probability of winning a framed picture
Hence, teddy bear have a better chance of winning
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Imagine a clock face. The x-axis passes through the numbers 3 and 9. The y-axis passes
through the numbers 12 and 6.
When it is 5:00 p.m., the hour hand points at the number 5. If the hour hand is reflected
across the x-axis, what number will it point at?
Answer:
8
Step-by-step explanation:
i did that answer and i got it right
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
because I think I'm right
Answer:
a^2 + b^2 = c^2
5^2 + b^2= 11^2
Find the value of x
in the figure below
Answer:
x = 29
Step-by-step explanation:
I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.
Hope it helps and is correct!
Someone help please and please make sure the answer is right because I’m already failing!!!
Answer:
The answer is 8.......!!
Find y.
Round to the nearest tenth:
29
500 ft
Answer:
y ≈ 242.4 ft
Step-by-step explanation:
The angle on the right of the triangle = 29° ( alternate angle )
Using the sine ratio in the right triangle
sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{500}[/tex] ( multiply both sides by 500 )
500 × sin29° = y , then
y ≈ 242.4 ft ( to the nearest tenth )
Function or not a function?
Answer:
That is a function
Step-by-step explanation:
Because i did that before
9 is the difference of a number n and 7 An equation that represents this word sentence is ? The solution is n=
Answer:
9=7-n
Step-by-step explanation:
Misty purchased a can of cat food. The diameter of the container is 8 centimeters, and the height of the container is 12 centimeters. Which measurement is closest to the volume of the container in cubic centimeters?
150.8
192
301.4
603.2
Answer:
603.2
Step-by-step explanation: Use the radius of the cylinder and height and plug it into the volume formula for a cylinder and solve
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month. Write and solve an equation that can be used to determine gg, the number of gigabytes of data Sofia can use while staying within her budget.
Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
First, we need to establish the total cost formula:
Total cost= 58.5 + 4*x
x= number of gigabytes
Now, we isolate x:
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
There are 12 donuts in one dozen donuts. Which equation could be used to find the total (T) number of donuts (d) in 6 dozen?
Answer:d*6=t
Step-by-step explanation:
What is 1.75 kilometres as a fraction of 700 metres?
Give your answer in its simplest form
Answer:
5/2
Step-by-step explanation:
1000m = 1km
1.75km = 1750m
1750 / 700 = 5/2
Solve the linear equations of 2x - y = 4
1 - 3y = -3
Please I’m in the middle of a test help
Answer:
[tex]x = \frac{8}{3}, y = \frac{4}{3}[/tex]
Step-by-step explanation:
Solve for y in the first equation.
[tex]y=\frac{4}{3}[/tex], replace y with [tex]\frac{4}{3}[/tex]
Solve for in the first equation.
[tex]x = \frac{8}{3}, y = \frac{4}{3}[/tex]
good luck, hope this helps :)
Answer:
x= 2.375
y=4/3
Step-by-step explanation:
2x-y=4
1--3=3y
4=3y
y=4/3
2x-3/4=4
2x = 4.75
x= 2.375
What is the circumcenter?
The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
Answer:
it's byou can go with it.......
PLS HELP!
Lucille is making a large pizza that calls for 1/2 a cup of pizza sauce.
Instead of making one large pizza, Lucille decides to make 4 mini
pizzas. How much pizza sauce should she use on each mini pizza?
Answer:
It should be 1/4 cups instead of 1/2
Step-by-step explanation:
Hope this Helped
10
After Thanksgiving, there were 8 pounds of mashed potatoes left over.
Grandma put the potatoes of equal amounts into 5 containers that could fit in her refrigerator.
How much mashed potatoes were in each container?
pounds
3. First Street School won 12 out of 30 awards in the team competition. What percent of the awards did the school win?
HELP PLSSS
Answer:
40%
Step-by-step explanation:
(12/30)x100
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
P = 2l + 6m
Step-by-step explanation:
[tex]P =l + l + m + m +m \\ +m +m +m \\ \\ P = 2l + 6m[/tex]
if a number has z positive integer factors then y and 2z integer factors. true/false
Factors are simply numbers that can divide another number without leaving a remainder.
The statement that 2z is an integer factor of y is true
The statement is given as:
The factor of number y is given as z.
From the above statement, we have:
If z is a factor of y, then 2z would also be a factor of y
So we can conclude that, the claim that 2z is a factor of y is true
Read more about factors at:
https://brainly.com/question/19386208
PLEASE HELP WILL GIVE YOU THE BRAINLIEST!!
Answer:
40
Step-by-step explanation:
34 to 40 eaasssy i think ims ry if wrong or it might be 35
During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
Step-by-step explanation:
Your answer
303.45 $
Mark it as Brainlist. Follow me for more answer.
The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first
triangle is 9 cm, find the corresponding side of the second triangle.
plz guys hrlp me if you solve i will make brainliest
Answer:
5.4cm
Step-by-step explanation:
In similar triangles, the perimeter of the triangles will be in the ratio of their corresponding sides.
The ratio of their perimeter is
perimeterofΔ2 15
--------------------- = -------------
perimeterofΔ1 25
So, the side of triangle 2 will be
9 * 15 15
---------------- = --------------
sideofΔ2 25
=
⟹side of Δ2= 25 / 9∗15 =5.4.
Find the slope of the line that passes through the points (2,-20) and (1,-20).
Answer:
[tex]\displaystyle m=0[/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
Point (2, -20)
Point (1, -20)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-20+20}{1-2}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{0}{-1}[/tex][Fraction] Divide: [tex]\displaystyle m=0[/tex]Answer:
(x', y') =(2, - 20)
(x",y") =(1, - 20)
slope = y"-y'/x" - x'
= - 20-(-20)/1-2
= - 20+20/ 1-2
= 0/-1
= 0
hope it helps
evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
..........................
Answer:
x = 0.954
Step-by-step explanation:
We apply pythagorean to find x
(4-x)² = 1.2² + 2.8²
(4-x)² = 9.28
✓(4-x)² = ✓(9.28)²
4 - x = 3.046
- x = 3.046 - 4
- x = -0.954
x = 0.954
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A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ?
Answer: There is 28 coins total