Answer:
C
Step-by-step explanation:
We want to simplify:
[tex](3a-2b)^2[/tex]
Recall the perfect square trinomial pattern:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let a = 3a and b = -2b. Thus:
[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]
Simplify:
[tex]=9a^2-12ab+4b^2[/tex]
Our answer is C.
Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.
Explaining Is Required
Answer:
[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]
Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:
[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]
combine the equations:
[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]
divide both sides by -48:
[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]
substitute the value of y to the second equation
[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]
simplify multiplication:
[tex] \displaystyle \: 4x + 12 = 8[/tex]
cancel 12 from both sides:
[tex] \displaystyle \: 4x = - 4[/tex]
divide both sides by 4
[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]
therefore our solution is
[tex]\displaystyle (x,y)=(-1,-3)[/tex]
Answer:
Solution given:
-3x+7y=-18
3x-7y=18.................[1]
4x-4y=8
4(x-y)=8
x-y=[tex] \frac{8}{2} [/tex]
x-y=2..........….........[2]
multiplying equation 2 by 3 and subracting equation 1 and 2,we get
[tex]3x-7y - 3x + 3y = 18 - 6[/tex]
-4y=12
y=[tex] \frac{12}{ - 4} [/tex]=-3
substituting value of y in equation 2,we get
x-(-3)=2
x=2-3
x=-1
:.
x=-1
y=-3
If you invest $35,000 into an account that gets 9% interest compounded monthly, how much would you have
in your account after 10 years?
Answer:
$1084545551
Step-by-step explanation:
We have:
$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551
The next term in the sequence 15, 12, 8, 3
Answer:
I think the answer is 17
Step-by-step explanation:\
The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.
I hope this helps :)
Please help!! Find the radius r.
Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces. ¿Cuántos dulces tenía Eduardo al final? *
Answer:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
Solve the simultaneous equation:
2x+3y=13
X+2y=9
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
What is the
approximate value of x?
Answer:
There is no work shown
Step-by-step explanation:
So you find the derivative root X you'll get 1 over 2 X to the power 1 by 2 and exactly after that you write the formula for the approximation.
Can you please help me find the volume of this shape ?
Answer:
The answer is 1710
Step-by-step explanation:
To find the volume of a shape, multiply the length by width by height.
V = LxWxH
Answer:
810in^3
Step-by-step explanation:
(6*19)/2 = 54
54*15 = 810
Solve 7z + 4 - 5z > 8 + 12
The solution is ____
This is on Big Ideas Math if anyone has this math problem.
Answer:
z>8
.....................
What is the slope of the line ??
Answer:
slope = 2
Step-by-step explanation:
slope is...
rise/run
this is rising by 2 and going to the right by 1
2/1=2
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?
Answer:
-2Step-by-step explanation:
We see on the graph:
f(7) = 2f(8) = 0Average rate of change:
(f(8) - f(7))/(8 - 7) =(0 - 2)/1 = -21. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.
Answer:
C) football's height after 3 seconds
Step-by-step explanation:
What is the shaded area ? Help Asas please !..
Answer:312
Step-by-step explanation:
what is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Answer:
5760 mm
Step-by-step explanation:
just multiply lol
Question 1 (1 point)
What value of n makes the equation
0.2(n + 4) = 4.7n - 2.8 true?
A n = 0.8
B n = 1.25
Cn=-0.48
Dn=0.96
А
B
C
D
Answer:
a n=0.8
Step-by-step explanation:
Pls help me with the answer to question 3
which is grater .856 or .8561
Answer: .8561
Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like
.8561
.8560
Answer:
I think it would be .856
Step-by-step explanation:
0.5 is greater than 0.05. There are many ways to deduce this:
The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.
Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)
Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5
Thanks for reading. Hope this helps. And maybe can i have brainliest?
Can you please help !? its due at 1:00 pm. (i will mark you brainlest) can you show work if you can?
Answer:
10) 9*9*9*9 = 6561
11) 2*2*2 = 8
12) 3*3*3*3*3 = 243
13) 4*4*4 = 64
14) 6*6*6*6*6 = 7776
15) 5*5*5*5 = 625
16) 8.5*8.5*8.5 = 614.125
17) 1.3*1.3 = 1.69
18) 7*7*7*7 = 2401
Used a calculator
One copy of a new book by Amanda's favorite author cost $9.45. If a total of 2,740 copies of the book were sold on the first day of the book's release, what were the total sales that day?
Answer:
$25893
Step-by-step explanation:
Answer:
$25,893
Step-by-step explanation:
Write 3-5 sentences about the process of the Difference of squares Factoring Method
A waffle cone has a volume of 31.254 cubic centimeters and a radius of
2.5 centimeters. What is the approximate height of the cone?
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²
A mad scientist is trying to turn herself into a superhero in her lab at point B. There is an explosion and
anyone within a radius of 8 miles from the lab turns into a superhero. Unfortunately, anyone between 8 and
10 miles from the blast turns into an evil villain. If the population is evenly distributed over the total area,
are there more evil villains or more superheroes?
Answer:
superheros
Step-by-step explanation:
area of the 8 milrs- 201.06sq miles
area of 10 miles- 314.16sq miles
subtract the 210.06 from 314.16, 104.1
so, 210.06 square miles of heros, 104.1 square miles of villians
find the area calculate the area of the composite figure
Answer:
84 Sq in
Step-by-step explanation:
area of the composite figure = Area of square + Area of triangle
[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]
Please Help!!!! need it just right now
Answer:
A. y = x² + 12x - 8Step-by-step explanation:
The u-shaped function should have:
positive leading coefficienteven degreeThe only function with mentioned parameters is:
y = x² + 12x - 8Correct option is A
The other options don't fit:
B. Even degree with negative leading coefficientC. Odd degreeD. Odd degreehelp me this is hard
Answer:
I guess it's whole; because it first appears there.
expand: 0.25(xy+4z+5)
Answer:
0.25xy+z+1.25=0
Step-by-step explanation:
The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?
PLEASE HELP !! DUE SOON :(
Answer:
-3
Step-by-step explanation:
Nearest unit tho will be -0 i think
Algebra 2
Please help!
Will give brainliest if it’s correct!
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer:
I think its 2/9 but im not sure worth a try doe