Answer:
Um, hi...do you have a question at all??
Step-by-step explanation:
3. f(x) = x2 + 4x - 2
Answer:
f(x)= -(x-2)^2+2
Step-by-step explanation:
the same valuve needs the be added to both sides
f(x)+?= -x^2+4x+?-2
to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression
f(x)+?= -x^2+4x-4-2
since -4 was added to the right side, also add -4 the the left side
f(x)-4= -x^2+4x+?-2
now factor out the negative sign from the expression
f(x)-4= -(x^2-4x+4)-2
using a^2-ab+b^2=(a-b)^2
f(x)-4= -(x-2)^2-2
move the constant the the right side and change its sign
f(x)= -(x-2)^2-2+4
now calculate the sum
f(x)= -(x-2)^2+2
The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.
Answer:
length-x
width-x-4
area-- length* width
192=X*(X-4)
x^2-4x-192=0
x^2-16x+12x-192=0
X(x-16)+12(x-16)=0
(x-16),(X+12)
X= 16 because X cannot be negative like (-12)
the dimensions of the classroom will be
length = 16
width = 12
I hope this will help everyone
Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for x
Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4Step 3: Check
Plug in x to verify it's a solution.
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
If [tex]\sf x^{(x^4)} = 4,[/tex] then find the value of [tex]\sf x^{(x^2)} + x^{(x^8)}.[/tex]
By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.
In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].
Let x = √2. Then
[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]
[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]
[tex]x^{x^2}+x^{x^8}=2+256[/tex]
[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]
6/15 * 1/2 =
Help please
Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5
Answer:
y = 4
Step-by-step explanation:
In y =mx+b (slope -intercept form ),
We have m to be the slope
The first and the second equations contains the slope (coefficient of x)
The fourth option clearly states the slope is -5
That leaves with the third option with only a y-intercept.
Answer:
y=4
Step-by-step explanation:
y=4 on the graph would look like this -------------------------- and it would have a slope of zero. It's not x = -5 because that would have an undefined slope |.
And the first two the slope is the number in front of the x.
Hope this helped!!!
1. What is the slope of the following equation? *
y= 3x - 3
A m=2
B m=1/2
Cm=3
Dm=-3
NEED HELP ASAP!! which function has a range of y is greater than or equal to 0
Answer:
c
Step-by-step explanation:
The third function has a range of y that is greater than or equal to 0.
What is a function?A function is a kind of rule that, for one input, gives you one output.
For the first function, it contains negative values for y, so it was eliminated.
The second function did not start from zero, so it was eliminated.
The third function obeys the given condition, but the last function contains negative values for y.
Hence, the third function satisfies the condition that y is greater than or equal to 0.
To learn more about function, use the link given below:
https://brainly.com/question/21145944
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Factorise 4x^2+28x^3
The quotient of a number and 3 is less than 24
Answer:
6 is the answer
Step-by-step explanation:
Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?
a. x>250
b. x<_250
c. x>_250
d. x<250
Answer: x ≥ 250
Step-by-step explanation:
jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled
Four friends went to the movies.
Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each tickets
A) 4+x=52
B) x - 4= 52
C) 4x=52
D)x/4=52
The equation that can be used to find the cost of each ticket is 4x = 52.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 6 is an equation.
We have,
Number of people who bought the tickets = 4
The total cost of tickets = $52
Now,
The cost of each ticket.
= 52 ÷ 4
= 13
Now,
Cost of one ticket = x
4x = 52
x = 52/4 = 13
Thus.
The cost of each ticket is $13.
Learn more about equations here:
https://brainly.com/question/17194269
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Can someone help me please
Answer:
reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th
Step-by-step explanation:
Simplify the following problem.
Answer: I think the answer is c
Step-by-step explanation:
tell me if im wrong :(
PLS SOLVE!! n+5 / -16 = -1
Answer:
The answer is n = 11.
Step-by-step explanation:
Answer:
n = 11Step-by-step explanation:
n + 5 = -1
-16
n + 5 = -1 (-16)
n = 16 - 5
n = 11
Have you ever heard someone ask a question that made you feel defensive or insecure? How might they have reframed that question?
Answer:
YEah it sucks
Step-by-step explanation:
Help with this plz plz ASAP
A line passes through the points (3, -2) and (5, 2). Which is the equation of the line?
a
y = negative one-half x + 1
b
y = one-half x + 7
c
y = 2x + 6
d
y = 2x – 8
Option D : y= 2x-8 is the line passing through the given points
8-3 is even or odd ammmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
ummmm... odd
Step-by-step explanation:
Odd
Because if you try to multiply it would be it nothing would be equal to 8
the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?
Help please
Answer:
x = 3
Step-by-step explanation:
Side lenght of square = (x + 3)
Side length of equilateral triangle = (3x - 1)
It is Given that:
Perimeter of square = Perimeter of equilateral triangle
4 times side length of square = 3 times side length of equilateral triangle.
[tex] \therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}[/tex]
Write each mixed number as an improper fractions 4 2/7
Answer:
30/7 is the answer yw
Step-by-step explanation:
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
help help help help help history!!!!!!
Answer:
The answer will be B :0
Step-by-step explanation:
WCA - GEOMETRY A-2021
Determining a Truth Value
Try
Determine the truth value of the given conditional statement.
Given: If 3 is an even number, then 5 + 3 = 8.
A true statement implies a true statement, so the conditional statement is true,
A true statement implies a false statement, so the conditional statement is true,
O A false statement implies a true statement, so the conditional statement is true,
O A false statement implies a true statement, so the conditional statement is false,
Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)
Answer:
Step-by-step explanation:
-13m-or+t m(484m+63t)/63m
what is 69 to the power of 69
Answer:
goobaaaaa
Step-by-step explanation:
Answer:
7.59604031⋅10 to the power 126
Step-by-step explanation:
Preview Activity 2.4.1. Consider the function f ( x ) = tan ( x ) , and remember that tan ( x ) = sin ( x ) cos ( x ) . What is the domain of f ? Use the quotient rule to show that one expression for f ′ ( x ) is f ′ ( x ) = cos ( x ) cos ( x ) + sin ( x ) sin ( x ) cos 2 ( x ) . What is the Fundamental Trigonometric Identity? How can this identity be used to find a simpler form for f ′ ( x ) ? Recall that sec ( x ) = 1 cos ( x ) . How can we express f ′ ( x ) in terms of the secant function? For what values of x is f ′ ( x ) defined? How does this set compare to the domain of f ?
Answer:
Step-by-step explanation:
Given the function f(x) = tan (x)
From trigonometry identity, tan (x) = sin(x)/cos(x)
f(x) = sin(x)/cos(x)
Using the quotient rule to find the derivative of the function, we will have;
f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x
f'(x) = cos²x - sin²x/ cos²x
Divide through by cos²x
f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x
f'(x) = 1 + sin²x/cos²x / 1
f'(x) = 1 + (sin²x/cos²x)
f'(x) = 1 + tan²x
From trig identity, 1 + tan²x = sec²x
Hence, f'(x) = sec²x
Hence the expression f'(x) in terms of the secant function is sec²x
f'(x) = 1/cos²x
For the function to be defined, it means that cos²x ≠ 0
cos²x ≠ 0
cos x ≠ 0
x ≠ cos⁻¹0
x ≠ 90⁰
Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will becomes f'(0) = 1/cos²0 = 1/1 = 1.
Hence the function is defined at 0≤x<90
PLEASE HELP ME IM BEING TIMEDD
Answer: There are 7 possible arrangments
Step-by-step explanation:
If you try to break down 150 you'll find that you'll be able to divide/ multiply it by 10,15,2,3,12,5,50
An elevator steadily descends 500 feet in 20 seconds. How would you express the change in the elevator's height per second?
Answer:
The elevator goes 25 feet per second.
Step-by-step explanation:
The elevator goes 500 feet every 20 seconds so to find how hogh it gets to in 1 second, you have to use the equation 500 divided by 20 to get 25.
Hope this helps idk if it will tho.
