the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
g(x)= 9 cos (x - 2pi/ 3) -1
g(x)= 9 cos (x - 2pi/3) +7
g(x)= 9 cos (x - pi/3) +7
g(x)= 9 cos (x - pi/3) -1
Answer:
g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7
Step-by-step explanation:
What is given is f(x) = g cos (x - pi/2) + 3
Note that the standard form of cosine function is a cos (bx + c) + d
a= amplitude
-c/b = phase shift
d = vertical shift
After moving pi/6 to the left --
x = pi/2 - pi/6 = pi/3
once moving pi/6 left, it is at pi/3
moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.
So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7
The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
The function is given as:
[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]
The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.
The rule of this translation is:
[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]
So, we have:
[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]
Take LCM
[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]
[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]
Divide 2 by 6
[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]
Next, we translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]
[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
[tex] \frac{2 {x}^{3} + 4 {x}^{2} - 5 }{x + 3} [/tex]
I need help with this one.
2x³ = x • 2x², and
2x² (x + 3) = 2x³ + 6x²
Subtract this from the dividend to get a remainder of
(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5
-2x² = x • (-2x), and
-2x (x + 3) = -2x² - 6x
Subtract this from the last remainder to get a new one of
(-2x² - 5) - (-2x² - 6x) = 6x - 5
6x = x • 6, and
6 (x + 3) = 6x + 18
This gives a new remainder of
(6x - 5) - (6x + 18) = -23
x does not divide -23, so we're done, leaving us with
[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]
1÷2/3 blank 1
I have to figure out if it is < > =
Answer:
>
Step-by-step explanation:
Step 1: Define
1÷2/3 ? 1
Step 2: Evaluate 1÷2/3
1÷2/3 = 1 · 3/2 = 3/2
3/2 = 1.5
Step 3: Find
1.5 ? 1
1.5 > 1
help help help help help
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
(5) (-9) (-2)
-45 (-2) = 90
hope this helps
what is 5.6+2.2x>65.6-1.8x
Answer: x>15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
15
Interval Notation:
(
15
,
∞
)
At a factory, five robots can construct
a car every ten minutes. How many
robots are needed if the company
wants to produce 30 cars every 25
minutes?
Answer:
5 times the quantity of 30 is (5*30) = 150 robots are needed.
Step-by-step explanation:
....
How to solve for x??
Answer:
17
Step-by-step explanation:
The sum of a polygon's angles is 180° (n − 2), where n is the number of sides. A hexagon has 6 sides, so the sum of the angles is:
180° (6 − 2) = 720°
Therefore:
720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110
720 = 26x + 278
26x = 442
x = 17
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
2 bags of sunflower seeds cost $5. At this rate, how many bags of seeds
can you buy for$20?*
Answer: 50
Step-by-step explanation:
Answer:
8 Bags
Step-by-step explanation:
If two bags cost $5, and you can spend $20, the amount of money multiplies by 4, so the number of bags would also.
2 x 4 = 8
An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.
Answer:12 and 15
Step-by-step explanation:
-6(2x-3)=-2(8x-1)
Helpp
Answer:
-4
Step-by-step explanation:
-12x+18=-16x+2
+16x +16x
4x+18=2
-18 -18
4x=-16
/4 /4
x=-4
Answer:
x=‒4
Step-by-step explanation:
‒6(2x‒3)=‒2(8x‒1)
‒12x+18=‒16x+2
‒12x+16x=2‒18
4x=‒16
4x/4=‒16/4
x=‒4
i hope it helps you.
The following graph shows a proportional relationship
Answer:
for every 5 units to the right, there is 1 unit up
the slope is y = 1/5
Find 4.8 x 7.2 show your proof
Answer:
34.56
Step-by-step explanation:
it is what it is
3[25-2(9+3)]=?. Pleaseeeeeeee
Helppppppppp i will mark you as a Brianlist
Answer:
I would say 23
Step-by-step explanation:
From 13 to 17 they add 4 then from 17 to 21 they add 4 so 21 plus 4 does not equal 23
Answer:
16, 25, 36
Step-by-step explanation:
there's a lot lol
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that Cathy ends up repaying
Answer: this answer makes no sense
Step-by-step explanation:
Which verbal expression shows 4 ÷ n?
Answer:
the quotient of 4 and n
Step-by-step explanation:
or 4 divided by n
Please help me
An equation that has no solution is known as:
(1) impossible
(2) inconsistent
(3) incomplete
(4) an identity
inconsistent equation
Which equation represents a line which is parallel to the line y-7x= -2
Answer:
7x-y = 2
Step-by-step explanation:
i think it is right I"m not very sure
Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?
what is the answer?
Answer:
i think it is 8
Step-by-step explanation:
but i am not sure
what is. 1+9.........
Answer:
uh 10?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)
Answer:
the answer is B which is y= -2/3x + 29/3
Step-by-step explanation:
Which of the relations below is a function?
{(2,3), (3,4), (5,1), (6,2), (2,4)}
{(2,3), (3,4), (5,1), (6,2), (3,3)}
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Answer:
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Step-by-step explanation:
A relation may or may not represent a function.
The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Relations and functions
For a relation to be considered a function, then the x values must point to different y-values.
The above condition is true for the relation (3).
This is so because all x values in this relation point to different y-values.
Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Read more about relations and functions at:
https://brainly.com/question/10283950
August hosted to dinner parties for his friends. Twenty guests attended the first party, and thirty-one guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party? OA 40% О B. 60% C. 45% OD 55%
Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the differences in number of guests in this 2 party :
[tex]31 - 20 = 11 \: guests[/tex]
Next, you have to divide by the smaller value which is the first party, then, multiply by 100 as the question wants percentage increase :
[tex] \frac{11}{20} \times 100 = 55\%[/tex]
Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5
Answer:
14.5
Step-by-step explanation:
please help im stuck
I will give Brainliest.
graph the line representing the equation 10x + 12y = 240.
Answer:
Step-by-step explanation:
10x + 12y = 240 simplified is y= -5/6 +20
The x-intercept is located at ( 24 ,0)
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is -5/6
Answer:
Step-by-step explanation:
[tex] {x}^{2} + 4x + 5 = 0[/tex]
For what values of x is the equation below true?
Turn the following fraction into a PERCENT: 15/60