Given f(x) = 10x + 4 and g(x) = 3x - 8, what is f(x) + g(x) ?

- 7x - 4
- 13x + 4
- 7x + 4
- 13x - 4

Answer:

A

Step-by-step explanation:

Connect the top of the tower (assuming the person's height can be ignored), the bottom of the tower, and the tree to form a right triangle.

Since the person is looking down at a 45 degree, it means the triangle is a equilateral triangle, so the length from the base of the tower to the base of the tree is also 300ft.

Answer:

This is four term polynomial.

Step-by-step explanation:

Polynomial comes from poly(meaning “many”) and nomial (in this case meaning “term”). So it says “many terms”  A  polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

In this expression, we are to determine  the polynomials depending on the number of terms present in the expression. The prefixes of the classification suggest the number of terms present.

a^2 - b + c - d^3  

This is an example of a four-term polynomial. The first term is  a^2, second one is -b, the third one is c, and the fourth one is -d^3.

Answer:

B) 30

Step-by-step explanation:

Bill saves 60 dollars a month so first you have to find out how much he saves in a year

To find that you multiply 60 by 12 since there are 12 months in a year

60*12 = 720

Tom saves 750 in a year so you have to subtract 750 by 720 to know how much more tom saves

750 - 720 = 30

Tom saves Option(B) $30 more than Bill in a year.

It is given that Tom saves $750 a year where as Bill saves $60 a month.

Thus savings for Bill in a month is $60 .

For 1 year, Bill saves -

(12 * $60) = $720 .

Now definitely Tom saves more than Bill,

Savings made by Tom more than Bill is -

= ($750 - $720) = $30 .

Therefore, Tom saves Option(B) $30 more than Bill in a year.

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Answer:Y = 16

Step-by-step explanation:

Y=6 and x = 3

If Y varies directly as x, then

Y = kx

Substitute the value of Y and x

6 = k * 3

Make k the subject of the formula

K = 6/3

k = 2

:. The equation connecting Y and x is

Y=2x

When x = 8

Y = 2*8

Y= 16

Yes, that is correct.

I even searched it, and saw that the answer was 16.

Nice Job!! :)

ANSWER

[tex]\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (ln(9 {x}^{2} ) + 1)[/tex]

EXPLANATION

The given equation is;

[tex]y = {(3x)}^{ {x}^{2} } [/tex]

Take natural log of both sides:

[tex] ln(y) = ln({(3x)}^{ {x}^{2} } )[/tex]

This implies that,

[tex]ln(y) = {x}^{2} ln({(3x)})[/tex]

We differentiate to get,

[tex] \frac{1}{y} \frac{dy}{dx} = ln(3x) (2x) + {x}^{2} ( \frac{1}{x} )[/tex]

This simplifies to

[tex] \frac{dy}{dx} =y (2x ln(3x) + x)[/tex]We substitute for y to get:

[tex]\frac{dy}{dx} = {(3x)}^{ {x}^{2} } (2x ln(3x) + x)[/tex]

Or

[tex]\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (2ln(3x) + 1)[/tex]

[tex]\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (ln(9 {x}^{2} ) + 1)[/tex]

Answer:

Step-by-step explanation:

Use a table with trigonometric functions (look at the photo) or use the calculator knowing that:

[tex]\cot\theta=\dfrac{1}{\tan\theta}=\left(\tan\theta\right)^{-1}[/tex]

The linear function that models the puppy's growth is A. y = 3x+3.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given Shayla is tracking the weight of the smallest dog in a litter.

Week 0 weight in ounces 3, week 1 weight in ounces 6, week 2 weight in ounces 9, and, week 3 weight in ounces 12.

From this, we can conclude that every week weight of the dog is increasing by 3 ounces.

This can be numerically expressed as y = 3x+3.

Where y is the total weight and x represents the no. of weeks.

learn more about functions here :

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