4. Determine the value of x.

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]

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Answer:

-0.2

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1cm = 5km

?cm = 45km.

Solve by dividing 45 by 5.

If the distance is 45km, on the map this will be 9cm.

Answer:

Length= 7 Width=2

Step-by-step explanation:

Answer: 0.3, 30%, or 3/10

Step-by-step explanation:

Andrea ate 1/4 of the pizza.

1/4 = 0.25

Her brother ate 35% of the pizza.

35% = 0.35

Her mom at 0.10 of the pizza.

1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza

0.3 = 30% = 3/10

Answer:

27x7=189.

189x5= ***945cm***

Answer:

140,000,687

Step-by-step explanation:

Answer:

90(8) + 2(38) = 270 + 76 = 346p

Step-by-step explanation:

Answer:

Cos ( 40 + 10)

Step-by-step explanation:

The expression Cos( A + B)

Can be written as;

CosA CosB - SinASin B

Applying this particular case in this question;

Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10

Answer:

its cos(40-10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Water consumption rate is:

Answer:

9

Step-by-step explanation: you do

54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)

It is 14 because if you do prime factorization:

14 = 2 x 7

42 = 2 x 3 x 7

They have the factors 2 and 7 in common.

2 x 7 = 14.

Answer:

The GCF is 14!

Step-by-step explanation: Okay Lets multiply to get 42, 14 x 1 is 14, 14 x 2 is 28, 14 x 3 is 42! We also know that this is the GCF because 42 and 14 can both be divided by 14!

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps

Answer:

x=127

Step-by-step explanation:

total sum of all angle of triangle is 180 degree

Now,

taking angle A let interior angle be Y

taking angle C let interior angle be Z

Again, In angle A

the sum of interior angle and exterior angle is 180 degree being staright line

Or, y+(x+5)=180

or,x+y=180-5

or, x+y=175

or,y=175-x --------eqn 1

In angle C

the sum of interior angle and exterior angle is 180 degree being staright line

or, x+z=180

or, z=180-x ----------eqn2

Again, In triangle ABC

total sum of all angle of triangle is 180 degree.

Angle A+ Angle B + AngleC=180

Or, y+79+z=180 -------eqn3

putting the value of eqn-1 and eqn-2 in eqn-3

Or, 175-x+79+180-x=180

Or, 431-180= 2x

Or, 254÷2=x

hence X= 127 degree

Answer:

c127

Step-by-step explanation:

Answer:

8 and 1/11.

Step-by-step explanation:

Answer:

8 1/11

Step-by-step explanation:

Hope this helps!!

Just in case :

(8 and 1/11)

Answer:

N = 250

Step-by-step explanation:

-17 + [tex]\frac{n}{5}[/tex] = 33

+17         +17

  [tex]\frac{n}{5}[/tex]  =  50

50 x 5 = 250

n = 250

Answer:

n=250

Step-by-step explanation:

-17+n/5=33

n/5=33+17

n=50*5 =250

Check;put n=250,

-17+250/5

= -17+50

=33

Answer: the answer is -6

use symbolab

What's the question?

I don't understand what you're asking.

Answer:

i agree with them what is this and what are you asking?

Step-by-step explanation:

Answer:

2x-3

Step-by-step explanation:

If you subtract 2x from 4x-3, you got 2x-3. This must be the answer you're looking for. Hope it helps!

Answer:

the slope is -3/5

Step-by-step explanation:

did it help

Answer:

(0,0) represents the cost of 0 bags of candy.

where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6

Step-by-step explanation:

Answer:

4.8333

Step-by-step explanation:

It is a repeating decimal. Hope it helps

The decimal form of the given fraction is 4.8333

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

Given that, convert 4 5/6 into a decimal,

The given mixed fraction is =

4 5/6

Converting into fraction,

29 / 6

Dividing 29 by 6, we get,

29 / 6 = 4.833

Hence, the decimal form of the given fraction is 4.8333

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Answer:

D

Step-by-step explanation:

AP3X

pog

The altitude of the triangle is 4√3 which is the correct option (D)

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.

The hypotenuse = 8

Let, perpendicular = a and base = 4

According to Pythagoras theorem,

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

a² + (4)² = (8)²

a² + 16 = 64

a² = 64 - 16

a² = 48

a = √48

a = 4√3

Hence, the altitude of the triangle is 4√3

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Answer:

33

Step-by-step explanation:

I hope this helps!

Answer:

33 pillowcases

Step-by-step explanation:

16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric

Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.

11 * 3 = 3 pillowcases

Answer:

1 = 135 degrees

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

16 * 4 = 64

The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2

4 * 2 = 8

Please mark Brainliest thank you!!

Answer:

Step-by-step explanation:

I dont see the drawling...

Answer: C

Step-by-step explanation:

Find the difference between the two points then change to opp. in order to find the other endpoint.