Determine the total surface area of the given triangular prism. Only enter the numeric value of your answer. Do not enter the unit of measure. For example, enter 528, not 528 cm^2. Round all answers to the nearest tenth.

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

Answer: 27

Step-by-step explanation:

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

Answer:

m = -11/7

Step-by-step explanation:

change equation into slope-intercept form:

7y = -11x + 2

y = -[tex]\frac{11}{7}[/tex]x + 2/7

slope is the coefficient of the 'x' term

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

The number of outcomes in the sample space is 6.

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

3

Step-by-step explanation: