Answer: Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a − b) where a = 11 and b = x . ( 11+x) (11-x)
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
What’s the line of y= -1/2x+2
Answer:
A picture of the graph is attached
Step-by-step explanation:
Write an inequality that represents the graph.
If you rolled two dice, what is the probability
that you would roll a sum of 12?
Give your answer as a simplified fraction, Enter
the number that belongs in the green box.
second
first
1 2 4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
212,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
44,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Probability is 1/36.
What is probability?The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
Two dices were rolled.
Total outcomes in sample space: S = 36
Outcomes which have sum as 12 are E = {(6,6)}
Required Probability: P(E)= 1/36
Hence, Probability is 1/36 of which have sum as 12
Learn more about Probability
https://brainly.com/question/14210034
#SPJ2
Answer:
1/36
Step-by-step explanation:
Round 0.006772 to 1 significant figures.
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
Which one is it?
a) <
b) =
c) >
Answer:
A: less that
Step-by-step explanation:
4( 14)+3
36+3= 39
39 (2+9)6-7
(11)6-7
66-7
59
39<59
what is the corrct answer
HELP PLEASE !!
The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.
A. Students who do not act.
B. Every 4th student selected from an alphabetical list of all students at the school.
C. Students who are in drama club.
D. Students who are in theater class.
E. The same number of students from each grade whose names are randomly selected from a hat.
Answer:
A, B, and D
Step-by-step explanation:
Help plz
Use substitution to determine whether the system below has no solutions, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
Group of answer choices
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
15x+5y=20 8-3x
substitute one unknown quantity into the elimination
15x+5(8-3x)=20
solve the equation
nosolution
A teacher writes four numbers on the board as shown blow
1
0
4
3
She asked the students to form 4-digit number, and subtract from 4310.
Write two possible solutions
Answer:
909 and 3267
Step-by-step explanation:
There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...
4310 - 3401 = 909
4310 - 1043 = 3267
Finally, we have two possible solutions which would be 909 and 3267
please help me solve this..
Answer:
5
Step-by-step explanation:
Let a = number of pieces of chocolate bought by Amin.
Let b = number of pieces of chocolate bought by Bob.
b = 2a
(a - 3)(b - 3) = 14
ab - 3a - 3b + 9 = 14
a(2a) - 3a - 3(2a) = 5
2a^2 - 3a - 6a = 5
2a^2 - 9a - 5 = 0
(2a + 1)(a - 5) = 0
2a + 1 = 0 or a - 5 = 0
a = -1/2 or a = 5
Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.
a = 5
Answer: 5
please help me!!! y’all, i’m dying
Answer:
The answer is A.
Step-by-step explanation:
yes
Answer:
total 10th grades who are 15 years old would be 7 in the empty box
Step-by-step explanation:
2 plus 7 plus 10 is 19, simple math
Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.
Answer:
she will make 78 dollars
Step-by-step explanation:
312 divided by 24 is `13
13 times 6 is 78
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
the formula is C=2√πA
so simplifying that would give us c=2(4π)
simplify again and we get c=8π
x/3 + 1/1
pls answer if you know
Answer:
[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]
Answer:
[tex] \frac{x + 3}{3} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
Background of the Discriminant
The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].
All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].
When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
Solving the Problem
[tex]3x^2+5x=-1[/tex]
We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:
[tex]3x^2+5x+1=0[/tex]
Now that we can identify the values of a, b and c, we can plug them into the discriminant:
[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)
Step-by-step explanation:
1) y = -x+4
2) y-4= -2(x-3)
y = -2x+6+4
y = -2x+10
3) slope = (3+1)/(9-1) = 4/8=½
the Equation =>
y+1= ½(x-1)
y = ½x -½-1
y = ½x - 1½ or 2y = x -3
Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =
Answer:
16
Step-by-step explanation:
f(x) = (-4 + x)^2
Let x=8
f(8) = (-4 + 8)^2
Parentheses first
= 4^2
Then powers
= 16
The solution of the equation (x+3) squared=7 is
Answer:
( x+3 )² = 7
expand ( x+3 )² : x²+6x+9
x²+6x+9=7
x²+6x+2=0
use a scientific calculator casio mode setup click no 5 , then click 3 input the equation
a = 1
b = 6
c = 2
answer : x = -3+square root 7 or x = -3-square root 7
Find the value of x.
Answer:
Step-by-step explanation:
When two chords intersect inside the circle, the product of their segments are equal.
BE * ED = AE * EC
x *3x = 4 *3
3x² = 12 {Divide both sides by 3}
x² = 12/3
x² = 4
x = √4
x = 2
Answer:
The value of x is 2.
Step-by-step explanation:
We know that , when the two chords are intersect inside the circle, the product of their segment are equal.
So, BE × ED = AE × EC
putting the values
x × 3x = 4 × 3
multiply the values
3 x ² = 12
divide 12 by 3
x ² = 12 / 3
x ² = 4
Taking the square root of 4
x = √4
x = 2
The value of x is 2.
El profesor Héctor y sus alumnos organizaron una excursión a
la Ciudad de México. Visitarán el Centro Histórico, el Castillo de
Chapultepec y el Museo de Antropologia. El costo del transporte
por alumno es de $310.75 y no incluye alimentos.
a) Para pagar el transporte, el profesor Héctor tiene que juntar
el dinero de los 37 alumnos que participaran en la excursion
¿Cuánto dinero debe reunir?
Answer:
$8.39 por pe rsona
Step-by-step explanation:
The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?
Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
solve for x round to the nearest tenth if necessary
Answer:
x = 74.4
Step-by-step explanation:
tan = opp/adj
tan42 = 67 / x
x = 67/tan42
use calculator
x = 74.411038493555922
rounded
x = 74.4
I need this ASAP. Thanks
Answer:
-6
Step-by-step explanation:
since x = - 5 is < 3
for x < 3,
f(x) = 3x + 9
placing the value of x as - 5
f(x) = 3× (-5) + 9
= -15 + 9
= - 6Which equation represents an inverse variation?
O y = 2x
Oy-
O yo
X
O y = -5x
I will give 25 points for it if solve this problem
Answer:
5/27
30/81 = 10/17
it's just ratios but if you need then vice versa, swap numerator and denominator
Answer:
the person on top is correct :)
Step-by-step explanation:
Someone pls answer #3 and 4
Will reward brainliest to the first most accurate answer ASAP.
Answer:
hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)
