Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
If f(x) = -x2 + 6x- 1 and g(x) = 3x2- 4x-1, find (f - g)(x).
Answer:
[tex](f-g)(x)=-4x^2+10x[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]
Distribute:
[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]
Rearrange:
[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]
Combine like terms. Hence:
[tex](f-g)(x)=-4x^2+10x[/tex]
There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?
Answer:
0.0152 probability
Step-by-step explanation:
first there are 12 marbles: odds are 2/12 = 1/6
Then, there are 11 marbles: odds are 1/11
So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152
Please give brainliest thanks!
HELP ME WITH THIS PLEASEEEE
Please help I’ll give brainliest
Answer:
13%
Step-by-step explanation:
Interest Amt = Principal x Interest Rate x Time (in years)
780 = 4000·r·1.5
780 = 6000r
780/6000 = r
r = .13 which is 13%
whats 9 plus 6 times 2?
Find the missing side
Answer:
x = 54.40883769
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 37 = 41/x
x tan 37 = 41
x = 41/ tan 37
x = 54.40883769
The product of two 2-digit numbers is 3774. What is the smaller of the two numbers?
Please help quick
Answer:
In factored form: 3774 = 2 · 3 · 17 · 37
Creating two two-digit numbers: 3 · 17 = 51 and 2 · 37 = 74.
So, the two numbers are: 51 and 74.
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%
How many students said they feel more focused after exercising?
Answer:
760
Step-by-step explanation:
Please help! I’m begging lolll
Answer:i think is C
Step-by-step explanation:
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.
Answer:
x
=
7
2
,
−
8
3
Step-by-step explanation:
Answer:
o9
[tex]x = - 44 \div 5[/tex]
hope to help you
Please help me to do the other answers
Answer:
in = - 9.5
Step-by-step explanation:
- 9.5 × 2 = -19
-19 - 1 = -20
What’s the answer?????
Answer:
19.3
Step-by-step explanation:
d=m/v
d=2316/120
d=19.3 g/cm^3
Answer:
19.3g/cm^3
Step-by-step explanation:
25x + 22x + 9 = 180.......
[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅
Step-by-step explanation:-
[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]
To verify:-
[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Find the value of x. Round your answer to the nearest tenth.
Answer:
9.30
Step-by-step explanation:
Using SOHCAHTOA
tan=opposite/adjacent
tan25°=x/20
tan 25°=0.4663
0.4663=x/20
cross multiply
x=0.4663*20
x=9.326
to the nearest tenth=9.30
HELPPP PLEASEEEEEEE!!
Answer:
We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.
i think of a number, multiply it by 3, add 4 and square the answer
Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Plsss Answer 100% will mark as brainlist!!!
In the following figure ABCD, find the value of x
Answer:
80°
because its diagnol so the one in the top corner is the same as x
Answer:
x = 140°
Step-by-step explanation:
Sum of exterior angles of polygon is 360°
That is, x + 70 + 80 + 70 = 360
x + 220 = 360
x = 360 - 220 = 140°
What is the output (y) if the input (x) is -10?
plz exsplain
Answer:
y = -5
Step-by-step explanation:
y = x / 2
For x = -10
Plug -10 into the equation
y = -10/2
y = -5
------------------
For the remaining values
x y
0 0
4 2
10 5
Pls help
A quadratic equation written in general form has a coefficient of −5 on the leading term, a coefficient of 2 on the first-degree term, and a constant of 3. What is the equation? Use x as the variable.
Answer:
f(x) = -5x² + 2x + 3
Step-by-step explanation:
f(x) = -5x² + 2x + 3
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...Select all of the true statements about the sides of a right triangle.
A. The legs are the sides next to the 90 (right) angle.
B. The hypotenuse is the longest side
C. Side “a” is always longer than side “b”.
D. The hypotenuse is opposite the 90 (right) angle.
Answer:
It should be options B and D
What is the slope of a line perpendicular to 3x + 4y = -2?
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The slope of the perpendicular line will be the negative reciprocal of the original slope.
For this line, the slope is [tex]-\frac{3}{4}[/tex] , whose negative reciprocal is [tex]\frac{4}{3}[/tex]
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please
Step-by-step explanation:
x2+1/x2=27
x2+1=27x2
1=26x2
x2 = 1/26
x = √(1/26)
x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3
x3+1/x3 = 134
Please find attached photograph for your answer
si 30 cuadernos cuestan 120 Bs ¿ cuantos costaran 18 cuadernos
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x+10y=800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
55
60
130
150
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
Answer:
60
Step-by-step explanation:
5x+10y = 800
5x+10(50) = 800
5x+500 = 800
5x = 800-500
5x = 300
x = 300/5
x = 60
60 small vehicles were washed in total.
proof: 5x+10y = 800
5(60) +10(50) =800
300 + 500 = 800
800 = 800
Hope this helps uwu
Which expression gives the measure of angle ABC?
Answer: 1/2 (110 degree + 20 degree)
Step-by-step explanation:
Help please help with the question ♥️
Answer:
39 ft^2
Step-by-step explanation:
area of small rectangle
length = 3 ft
breadth = 1 ft
area of rectangle = l*b
=3*1
=3 ft^2
area of big rectangle
length = 12 ft
breadth = 3 ft
area of rectangle = l*b
=12*3
=36 ft^2
area of the figure = area of small rectangle + area of big rectangle
=3 + 36 ft^2
=39 ft^2
f(x) = x +1 g(x) = x^2 - 3
find f 3
find gf3