5) Vanessa and Javier each signed up for new gym memberships. Vanessa pays a monthly fee of $25 and
$2 per group class. Javier pays $6 per class and no monthly fee. How many classes do they have to take to
pay the same monthly rate?

The function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]

The functions are given as:

[tex]f(x) = log_2(x) + 2[/tex]

[tex]g(x) = log_2(x^3) - 4[/tex]

This is given as:

[tex]h(x) = f(x) + g(x)[/tex]

So, we have:

[tex]h(x) = log_2(x) + 2 + log_2(x^3) - 4[/tex]

Collect like terns

[tex]h(x) = log_2(x) + log_2(x^3)+ 2 - 4[/tex]

[tex]h(x) = log_2(x) + log_2(x^3)- 2[/tex]

Apply law of logarithm

[tex]h(x) = log_2(x \times x^3)- 2[/tex]

[tex]h(x) = log_2(x^4)- 2[/tex]

Apply law of logarithm

[tex]h(x) = 4log_2(x)- 2[/tex]

Hence, function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]

The equations are not given.

So, the question cannot be solved

Read more about composite functions at:

https://brainly.com/question/10687170

The area of the rectangular garden is determined as 192 ft² from the product of the width and length.

The area of the rectangular garden is calculated by applying the following method.

let the width of the garden = w

then, length of the garden = 3w

The resultant length or remaining length;

= 3w - w

= 2w

The value of the width of the garden is calculated by applying the formula for perimeter of a rectangle.

2w + w + 2w = 40

5w = 40

w = 40/5

w = 8 ft

So the length of the garden = 3 x 8 = 24 ft

The area of a rectangle is calculated as follows;

Area = 8ft x 24 ft

Area = 192 ft²

Learn more about area of garden here: https://brainly.com/question/386401

#SPJ1

9514 1404 393

Answer:

  15.5 lb

Step-by-step explanation:

The average weight of the top 5 fish was 12.9 lb:

  (? +14.4 +12.8 +11.6 +10.2)/5 = 12.9

  ? +49 = 64.5 . . . . . . multiply by 5

  ? = 15.5 . . . . . . . . subtract 49

The weight of the heaviest fish was 15.5 lb.

Answer:

ifruhhwhahsjjdhwjdkk

Answer:

1) A=XB

2) (A-C)/B

Step-by-step explanation:

1) to keep A alone convert B to the other side with multiplication A=XB

2) To keep X alone. First C goes to the other side be minus A-C=BX

then B goes the other side with division (A-C)/B=X

Answer:

100 p have 70 p under weight

6000p have: 6000*70/100=4200

Step-by-step explanation:

(3/5)x - 21

hope this helps :)

Answer:

1 1/4

Step-by-step explanation:

here is the exact form if your looking for that. :)

5/4

and heres the decimal form if you are looking for that :>

1.25

1. 56.4

2.107.15

So for the first one I subtracted like this:53.41- -2.99=56.4

You may be wandering why i subtracted that way,I did that because you are meant to subtract and the second number already has a negative sign which is MINUS.

And for the second I subtracted the smaller number from the bigger number this way:144.96 ‐ 37.8

Hope this helps...

Is your answer.

In this problem, we build and solve an expression.

a)

The expression is:

[tex]350 + 10s = 1250[/tex]

b) 90 students can attend the field trip.

Item a:

The spendings are:

Thus, in total:

[tex]350 + 10s[/tex]

Has $1,250.00 to spend, thus:

[tex]350 + 10s = 1250[/tex]

Item b:

The number of students that can attend the trip is the solution for s, thus:

[tex]350 + 10s = 1250[/tex]

[tex]10s = 900[/tex]

[tex]s = \frac{900}{10}[/tex]

[tex]s = 90[/tex]

Then, 90 students can attend the field trip.

A similar problem is given at https://brainly.com/question/22312773

Answer:

x + (80-x) = 80

Hope this helps

Answer:

the mean number of magazine readers is 200

Answer:

49.02%

Step-by-step explanation:

Difference:

= 51-26

= 25

Decreased percentage

= 25/51 * 100%

= 49.02

Answer:

Step-by-step explanation:

Given points (-2, 1) and (6, -1):

Start by solving for the slope of the line, using the following formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) =  (-2, 1)

(x2, y2) =  (6, -1)

m = (y2 - y1)/(x2 - x1)

m = (-1 - 1)/[6 - (-2)]

m = -2/(6 + 2) = -2/8 = -¼

Therefore, the slope of the line is m = - ¼.

Next, to determine the y-intercept (b), use one of the given points (6, -1) and the slope, and plug in these values into the slope-intercept form:

y = mx + b

-1 =  -¼(6) + b

-1 = -3/2 + b

-1 + 3/2 = -3/2 + 3/2 + b

½ = b

Therefore, the y-intercept, b = ½.

The linear equation of the given graph is:

Answer:

15 boys in the choir

Step-by-step explanation:

60/4

4 x 15 = 60

Answer:

48

Step-by-step explanation:

First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys

G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:

If you cross-multiply, then you get the simplified equation:

G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:

G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.

G + B = 60 -->

4B + B = 60 -->

5B = 60 -->

B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.

G + B = 60 -->

G + 12 = 60 -->

G + 12 -12 = 60 - 12 -->

G = 48

The number of girls you have is 48.

Answer: It rained.

Step-by-step explanation: Based off the information given, you can safely assume the reason she didn’t go swimming was because it was raining.

Answer:

i think its not equivalent but NOT sure

Step-by-step explanation:

Answer:

90 min

Step-by-step explanation:

if 2 miles is equal to36 minutes what about 5 miles

Answer:

90 minutes. 1 hour, 30 minutes.

Step-by-step explanation:

36 minutes = 2 miles

? minutes = 5 miles

There are many ways to solve this, for example, creating an equation. But I am going to show you how to solve this using fractions.

Step 1: Set up a fraction.

Make sure your values are in the correct order. 2 miles is 36, so 5 miles would be a variable. We will make that variable of time "t".

[tex]\frac{36}{2} = \frac{t}{5}[/tex]

Also, make sure the values with the same units are on the same level. For example, 2 miles and 5 miles are both under, although they can be at the top, too, they just both have to be at the same place.

Step 2: Solve for the variable.

[tex]\frac{36}{2} = \frac{t}{5}[/tex]

On one side, we see 36 over 2. We should solve that first. [tex]\frac{36}{2}=36\div2=18[/tex]

We are left with [tex]18 = \frac{t}{5}[/tex]

Multiply 5 to both sides

[tex]5\cdot18=\frac{t}{5} \cdot5[/tex]

18 times 5 equals 90

5 cancels 5, so that leaves us with 90.

Step 3: Convert 90 minutes to hour.

60 minutes = 1 hour

Since we know 60 minutes makes 1 hour, we can find out how many are left from 90 minutes by subtracting 60 from 90

[tex]90-60=30[/tex]

It will take 1 hour and 30 minutes to walk 5 miles.

Answer:

-2×(-2)×9

= 4×9

= 36

Step-by-step explanation:

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Answer:

Step-by-step explanation:

HOPE IT HELPS

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

If you subtract the first equation from the second one, you end up with

cos(x - y) - cos(x + y) = 2 sin(x) sin(y)

so that

sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))

Then in the integral,

[tex]\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}[/tex]

equal denominators can be 8, 16, 24, etc

but for this one, you can use 8.

Answer:

f(n) = 3(n-3).

f(5)=3(5-3)

f(5)=6

Answer:

hyperbola is formed by intersecting two inverted cones and a plane.