Answer:
20
Step-by-step explanation:
note that
(a - b)² = a² + b² - 2ab , thus
a² + b² - 2ab = (a - b)² ( add 2ab to both sides )
a² + b² = (a - b)² + 2ab = 4² + 2(2) = 16 + 4 = 20
Which expression gives the correct volume of the steps?
Math item stem image
CLEAR CHECK
4×4×1 cubic feet
(4×4×1)+(3×3×3) cubic feet
(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet
(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet
Answer:
(4×4×4)(3×3×3)(1×1×1) Cubic feet
Can someone please help?!
HELPPPPP
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x^3 -3x²+2
The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].
What are the roots of the polynomial function?Given the polynomial function in the question:
f(x) = x³ - 3x² + 2
To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.
f(x) = x³ - 3x² + 2
x³ - 3x² + 2 = 0
Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0
Equate each factor zero and solve for x:
( x - 1 ) = 0
x - 1 = 0
x = 1
( x² - 2x - 2 ) = 0
x² - 2x - 2 = 0
Using the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]
Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].
Options A, B and D are the correct answers.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ1
Evaluate square root of 121
Answer:
the square root of 121 is 11
Which equation represents the linear function that is shown on the graph below ?
A. Y=1/2 x+4
B. Y=1/2 x-2
C. Y=4 x-2
D. Y= -2 x +4
Answer:
First one
Step-by-step explanation:
Y=1/2x+4
Determine the intercepts of the line.
y = -32 + 12
y-intercept:
x-intercept:
Answer:
y-intercept: 12
x-intercept: unknown
Step-by-step explanation:
I think you meant y=-32x+12.
This is urgent!!!! PLEASE DON'T HELP!!!
Answer:
okay
Step-by-step explanation:
dont want help? bye good luck!
HELP PLS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is B
Step-by-step explanation:
Mario makes 6 free throw shots out of his first 10 attempts.
Answer;
he missed 4 of his shots
Step-by-step explanation:
Help please look at picture attached I will mark brainliest!!
Answer:
ACB:64 ACD:116 GFH:64 EFG:26
Step-by-step explanation:You could see how the angles are located.
Answer:
A ) Adjacent and supplementary B) Adjacent n neither C) is the same as A D) Non adjacent n complementary
Step-by-step explanation:
The Small arrow is Non adjacent or adjacent and under the big one is complementary, supplementary or neither
La Sra.Elena y el Sr.Eulalio,abortan taxis diferentes de la misma empresa el costo del servicio es un importe fijo de salida (banderazo) mas otra cantidad por los kilometros recorridos.Si la SraElena paga $190 por recorrer 8 km y el Sr Eulalio paga $130 por correr 5 km calcular el costo de banderazo y el costo por kilometro recorrido
Answer:
$ 30
$ 20
Step-by-step explanation:
Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.
De la pregunta obtenemos las dos ecuaciones
[tex]x+8y=190\quad ...(i)[/tex]
[tex]x+5y=130\quad ...(ii)[/tex]
Aplicando [tex](i)-(ii)[/tex]
[tex]8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20[/tex]
Sustituyendo en [tex](ii)[/tex]
[tex]x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30[/tex]
Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
Bob buys lunch at Chick Fil A for his friends on Tuesday. He buys 9 sandwiches and 5 drinks
and pays $44 total. Ben buys lunch on Friday and pays $70 for 15 sandwiches and 7 drinks.
What is the price for a sandwich and what is the price for a drink?
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Create a system of equations where s is the price of a sandwich and d is the price of a drink:
9s + 5d = 44
15s + 7d = 70
Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:
63s + 35d = 308
-75s - 35d = -350
Add them together:
-12s = -42
s = 3.5
Then, plug in 3.5 as s into one of the equations to solve for d:
9s + 5d = 44
9(3.5) + 5d = 44
31.5 + 5d = 44
5d = 12.5
d = 2.5
So, a sandwich is $3.50 and the price of a drink is $2.50
Answer:
A sandwich is $3.50 and the price of a drink is $2.50
Step-by-step explanation:
Plz mark as brainliest it would be helpful
whats the slope (1,8) and (4,6)
Answer:
-2/3
Step-by-step explanation:
4/25^1/2nnnmmmmmmmmmmmmmmmmmmmmmmm
Answer:
0.08
Step-by-step explanation:
4/25^1/2 = 0.08
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.
How many hats did the customer buy?
Enter your answer in the box.
Answer:
The customer bought 4 hats, and 6 scarves.
Step-by-step explanation:
$4.50x4 = $18
$3.00x6 = $18
$18 + $18 = $36!
Please mark "Brainliest"!?
- Pricespidey
Solve the inequality n divided by -3 + 8 > 6.
Answer:
n<30
Step-by-step explanation:
have a great day
Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”
Answer:
Step-by-step explanation:
i=prt
your p=30 dollars
rate is 10%
t=1 year
i=(30*0.01*1)=3
3 dollars
Write a linear function f with the values f(−1)=5 and f(3)=4.
Answer:
f(x)=-0.25x+4.75
Step-by-step explanation:
-0.25x+4.75
-0.25(-1)+4.75=5
-0.25(3)+4.75=4
Hope this helps!
PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(
1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
120e/1h
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
105e/1h
please help will mark brainliest
Answer:
two
Step-by-step explanation:
Mke y the subject of the formula.
w=x^2-2yz
Answer:
W = x^2 - 2yz / - w
0 = x^2 - 2yz - w / +2yz
2yz = x^2 - w // 2z
y = (x^2 -w ) / 2z
So correct answer is D
Please help! Almost done! thx
Answer:
c^2 = a^2 + b^2 - 2ab cos(C)
Step-by-step explanation:
The angle at A is named A, the angle at B is named B, and the angle at C is named C
Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?
Plz hurry I will give 17 points
their notes to help them process the
The editing and formatting features of eNotes allow students to blank
information.
The answers are organize,translate,increase,misplace
Answer:
Organize
Step-by-step explanation:
Can someone tell me the answer?
Answer:
5
Step-by-step explanation:
16÷3=5r1. Hope this helps
simply 8/-4 dived by -3/9
Answer:
-6
Step-by-step explanation:
I need some help lol