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3 years ago

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

1 answer:

4 0

We have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

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Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the thir

Ksivusya [100]

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate.

So the point is in (4, 1).

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3 years ago

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends

Verizon [17]

Answer:

Area of Pool cover: 110.25π

Length of rope: 21π

Step-by-step explanation:

To find the area of a circle the formula is πr^2.

1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π

To find the length of the rope(circumference) the formula is 2πr.

1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π

____________________________________________________________

If ur teacher wants you to use 3.14 as pi then these are your answers:

Area of Pool cover: 346.185, round up to 346.19 if needed

Length of rope: 65.94

8 0

3 years ago

2. Which of the following graphs show a function with domain 1 ≤ x ≤ 6? Select two that apply.

borishaifa [10]

Answer:

Graphs A and B

Step-by-step explanation:

Graphs A & B are using x-values 1-6 and stop there, which is what the domain is trying to find. Though, for the other graphs, these graphs are rather starting at 1 via the domain, while not going up to 6 on the domain.

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2 years ago

Felix spent $12 on a movie ticket and x amount of money on snacks. He spent no more than a total of $22 dollars. Which inequalit

adoni [48]

$12+X is less than or equal to $22

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3 years ago

A summer camp cookout is planned for the campers and their families. There is room for 525 people. Each adult costs $9, and each

vodomira [7]

Answer:

The System of Inequalities in this real-world scenario is:

x+y < = 525

9x+5y < = 1200

Step-by-step explanation:

In this question we are asked to to write a system of inequalities, thus a system of relating two variables, where the relationship will be of the form either greater > or less < or equal.

Given Information:

→ Maximum number possible in the summer camp: 525

→ People attending are Adults (lets call them $x$ and Campers (lets call them $y$ )

→ Ticket Cost for Adults is $9

→ Ticket Cost for Campers is $5

→ Maximum budget available for both Adults and Campers is $1200

From these information we can obtain 2 Inequalities to define our system of equation.

The first inequality will be with respect to the Maximum Number of People possible which reads as:

$x+y\leq 525$ [sum of adults and campers should be less or equal to maximum number of people possible]

The second will be with respect to the Maximum Budget available which reads as:

$9x+5y\leq 1200$ [sum of the cost per ticket for adults and campers should be less or equal to maximum budget available]

Thus the System of Inequalities in this real-world scenario is:

$x+y\leq 525\\9x+5y\leq 1200$

Which if solved can give us the values for $x$ and $y$ , thus the number of adults and numbe of campers attedning the summer camp.

5 0

4 years ago