Solve five and three sixths minus two and one third

Answer:

Part 1)

[tex]f(g(x))=10x^3+16[/tex]

Part 2)

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=2x^2+16[/tex]

Which represents the amount of money Raul earns per ticket and:

[tex]g(x)=\sqrt{5x^3}[/tex]

Which represents the number of tickets Raul sells per hour.

Part 1)

We want to find f(g(x)).

So, we substitute g(x) for f(x). This yields:

[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]

This can be expanded a simplified as such:

[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]

Part 2)

Recall that f(x) outputs the amount of money Raul earns per ticket.

And g(x) inputs the amount of hours Raul works.

When we composed f(g(x)), the input and output stayed the same.

So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).

Answer:

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

Answer:

slope is 2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

= [tex]\frac{-4-6}{-2-3}[/tex]

= [tex]\frac{-10}{-5}[/tex]

= [tex]2[/tex]

Answer:

1

Step-by-step explanation:

Using the general exponent rule, that

[tex]a^{0}[/tex] = 1, so

[tex]7^{0}[/tex] = 1

Answer:

the slope is -3 and the y intercept is 12

Answer:

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Step-by-step explanation:

Explanation:-

Given    (-4)⁻²

we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]

       (-4)⁻² =  [tex]\frac{1}{(-4)^{2} }[/tex]

                [tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]

               [tex]= \frac{1}{16}[/tex]

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Answer:

1120$

Step-by-step explanation:

Total Intrest/By 7%

Answer:

$1,120 hope this helps!

Step-by-step explanation:

Answer:

Yes

Y being 1 is less than x being 8 + 9

Answer:

1.83

Step-by-step explanation:

1.78 + 5 cm

because it says she is taller so you add both

Height of Amy who is 5 cm taller than Jack is 1.83 meters.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.

Therefore, The sum of the height of Jack and 5 cm more is the height of

Amy.

Therefore,

178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)

So, 183 cm is equal to 1,83 meters.

learn more about numerical expressions here :

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Answer:

I think it's B and D

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Here, we want to check if the given value is rational or irrational

If a certain number is a non -perfect square, and it is placed inside the root, then it is a surd and thus termed irrational

However, the number 20.25 is a perfect square. in fact the square root is 4.5

This mean the expression is not irrational

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]

Answer: the answer to this problem is 36 :)

Answer:

Both are 36

Step-by-step explanation:

I just did it

Answer: Number of pizzas out of 4000 that is expected to be pan size

= 4000 * 168 / (326 + 309 + 247 + 168)

= 640

Answer:

of what??????????????????

Answer:

what do you mean???

Answer:

The awnser is 2

Step-by-step explanation:

Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

You are correct for stating one tissue box has a volume for 36.

But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.

36+36+36=108

Answer:

6*3*2=36 there are 3 boxes so 36*3=108

Step-by-step explanation:

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify

Answer:

 The answer is 0.18y+5.5

Step-by-step explanation:                

because the only thing you had to do is move the decimal.

The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The production cost to make 10 shirts is modeled by the expression,

Total Cost = 1.8y + 5.5,

where y represents the number of meters of fabric needed to make the shirts

So, for one shirt cost,

Cost of 1 shirt = Total Cost/10

                       = 1.8y + 5.5/10

                       =  0.18y + 0.55

Thus, the expression is  0.18y + 0.55

To know more about Expressions check:

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Answer:

2^3*5^2*3

Step-by-step explanation:

600=2*2*2*5*5*3=2^3*5^2*3

Answer:

44.68

Step-by-step explanation:

just add them

Answer:

Slope, [tex]m=\dfrac{-1}{2}[/tex]

Step-by-step explanation:

We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).

The formula for the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2

So,

[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]

So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].