Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go
If 9 − 3x < 54, then which of the following must be true?
F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15
If 9 − 3x < 54 then the following x > -15 must be true.
Inequalities is an expression used to show the non equal comparison of two or more variables.
Given the inequality:
9 − 3x < 54
Subtracting 9 from both sides of the equation:
9 - 3x - 9 < 54 - 9
-3x < 45
Dividing both sides of the equation by -3:
-3x/-3 < 45/-3
x > -15
If 9 − 3x < 54 then the following x > -15 must be true.
Find more on inequality at: brainly.com/question/241541
Help help help help math math
how can you find 72-25? circle all the correct answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
...................hyufgr54ed3w4ewfsa67grftgvb hj
Answer:
yes
Step-by-step explanation:
What is nx25=5x60 and how did you get the answer?
Hey there!
n * 25 = 5 * 60
25n = 5 * 60
25n = 300
DIVIDE 25 to BOTH SIDES
25n/25 = 300/25
CANCEL out: 25/25 because it gives you 1
KEEP: 300/25 because it helps solve for the n-value
NEW EQUATION: n = 300/25
SIMPLIFY IT!
n = 12
Therefore, your answer is: n = 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Ima just say the question to: "The length of each of the two congruent sides of an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 centimeters. Write and equation that could be used to find the value of x. Solve for x and then find the length of all three sides." 100 points!!!!
Answer:
x = 5
Congruent sides = 13 cm each
3rd side = 2(5) = 10 cm
Step-by-step explanation:
2(2x+3)+2x = 36
4x+6+2x = 36
6x = 36-6
x = 30/6
x = 5
Congruent sides = 2(5)+3 = 13
In the year 2001, a person bought a new car for $12000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2004, to the nearest hundred dollars? i need this asap
Answer: $8700.
Step-by-step explanation:
The equation we can use is p x r^years.
p is the original value ($12000).
r is our multiplier, it goes down by 10% so our multiplier is 1-0.1 giving us 0.9.
IT is 2001 to 2004 so 3 years so we do r to the power of 3.
So we use 12000 x 0.9^3.
This is equal to 8748, to the nearest 100 dollars its $8700.
Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only
All the function graphed have domain of all real numbers.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
The domain of a function is defined by the graph's x-values (input values).
Similarly, Range is defined by the set of y-values (output values) in the function's graph.
Now, From the graph attached,
Domain of function 'f' : {x | x ∈ R}
Domain of function 'g' : {x | x ∈ R}
Domain of function 'h' : {x | x ∈ R}
Learn more about Function here:
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1/2 x 1 1/3 x 2=?
please help on this
10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?
Answer:
Approximately 3,333 acres per hour.
Step-by-step explanation:
Let's first find out how many hours are in 3 days.
There are 24 hours in one day.
24 times 3 = 72.
There are 72 hours in 3 days.
So the wildfire is destroying 240,000 acres every 72 hours.
240,000 divided by 72 = 3,333.3333, which is about
3,333 acres per hour.
The number of acres of land that were destroyed per hour is 3,333.33 acres.
Given the following data:
Land destroyed = 240,000 acres.Time = 3 days.To calculate the number of acres of land that were destroyed per hour:
How to solve a word problem.In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.
Conversion:
1 day = 24 hours.
2 days = 48 hours.
3 days = 72 hours.
For the acres destroyed per hour, we have:
[tex]Land=\frac{240000}{72}[/tex]
Land = 3,333.33 acres.
Read more on word problems here: https://brainly.com/question/13170908
The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?
What is the constant of proportionality in xy-11=5?
Answer:
xy-11=5
ANSWER:
=16
Step-by-step explanation:
hope it helps to you
mark me as a brainlest please
Pls help pls Pls pls pls thanks
Factor of 20 but not 10
2. Neither factors of 10 and 20?
Answer:
Step-by-step explanation:
A student downloaded a new game on her phone that was recommended by her friend. She wanted to show her friend how good
she was doing, so she wrote down all her scores on the game. Her first five scores on the game were 432, 543, 348, 788, and 823.
On the two questions below, round to the nearest whole number when relevant.
a. What is her mean, or average, score on the game?
b. What is her median score on the game?
Answer:
a. 587
b. 543
Step-by-step explanation:
a. Mean = sum / number of numbers
To find the sum, we can add the numbers up.
432 + 543 + 348 + 788 + 823 = 2934
There are 5 numbers. Our mean is thus
2934/5 = 586.8, or 587 when rounding up. We round up because we have a .8 at the end, and 8 ≥ 5
b. To find the median, we first must order the numbers. The numbers ordered are this:
348 , 432 , 543 , 788 , 823
To find the median, we can cross off one number on each side until we are left with one or two numbers.
348 , 432 , 543 , 788 , 823
cross out one number from each endpoint
432 , 543 , 788
cross out one number from each endpoint
543
I’ll mark you brainless if you give me the answer
Answer:
x=8
Step-by-step explanation:
Never crosses the y-axis so x equals 8
Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot
Answer:
27ft-long
Step-by-step explanation:
good luck!!!
(422 +
+ 72 – 8) and (-2 + 3)
-
Answer:
HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next
Step-by-step explanation:
return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would
in Emma's supply box a pencil weighs 3ounces.her scissors weigh 3 ounces more than the pencil and a bottle of glue weigh three times as the scissors how much those the bottle of the glue weigh in pounds and ounces.
Answer:
18 Ounces which is equal to 1 pound and 2 ounces
Step-by-step explanation:
pencil weighs 3 ounces
scissors weighs =pencil+3 ounces =6 ounces
bottle of glue=3*scissors which is equal to 18 Ounces simple 16 ounces = 1 pound
Thanks
A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?
Answer:
75 problems
Step-by-step explanation:
Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:
(x-15)/x = 0.80
x-15 = 0.80x
-15 = -0.20x
75 = x
Therefore, there were 75 problems on the test
NEED NOW PLEASE..........
Answer:
The answer is 6 feet below the surface of the water.
Step-by-step explanation:
So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"
Hopes this helped you :)
If $3000 grows to $3540 after 3 yr, find the simple interest rate
Answer:
R = 6%
Step-by-step explanation:
We know that
SI = A - P
SI = 3540 - 3000
SI = $540
R = 100 × SI/P × T
R = 100 × 540/3000 × 3
R = 54/9
R = 6%
S O L U T I O N:
Here we've been provided with the information i.e
Amount (A) = 3540Principal amount (P) = 3000 Time period (T) = 3 yearsAnd we are asked to calculate simple interest rate (R) = ?
The standard formula to calculate is given by,
[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]
[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]
[tex]:\Rrightarrow\sf{S.I. =540}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]
[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]
[tex]:\Rrightarrow\sf{R = 6\%}[/tex]
The simple interest is 6%.(8,4) and has a slope of 5/2
Can someone help me??
Answer:
The answer is B
Step-by-step explanation:
Five and 1/3÷2 2/3 simplified
Answer:
5 1/3 ÷ 2 2/3
Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).
5 1/3 = 16/3
2 2/3 = 8/3
16/3 ÷ 8/3
When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.
16/3 x 3/8
Multiply.
16/8
Divide by 8.
2
Hope this helps! :)
Rewrite the expression without parentheses.
13m−(−9m−4)
Answer:
22m+4
Step-by-step explanation:
Let's break it down:
13m+-1(-9m-4)
13m+(9m+4)
22m+4
Answer:
22m+4
Step-by-step explanation:
PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]
Answer:
(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)
Step-by-step explanation:
i need help 4 my brother
Answer:
$1.50
Step-by-step explanation:
pool: 46.50/6=7.75
beach: 46.25/5=9.25
9.25-7.75=1.5
Enter the number that belongs in the green box
Answer:
8
Step-by-step explanation:
8
Wander for the questions