HELPPP 100 POINTS!Tyler belongs to a fitness club at a community centre. The graph below represents the relationship between the number of times he visited the club and his total monthly cost. What type of variation is this relationship, and what is the initial value? *

#1 Direct Variation, and initial value is 0
#2 Partial Variation, and initial value is 0
#3 Direct Variation, and initial value is 20
#4 Partial Variation, and initial value is 20

Answers

Answer 1

Answer:

The type of variation in this relationship is direct variation, and the initial value is 20.

What is the linear relationship?

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The given graph represents the relationship between the number of times he visited the club and his total monthly cost.

As per the given graph, we can conclude as follows:

The type of variation in this relationship is a direct variation because the points are increasing, and the initial value is 20 because the coordinate of the initial point is (0, 20).

Hence, the correct answer would be option (C).

Learn about the linear relationship here :

brainly.com/question/11663530

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Answer 2

Answer:

Answer:

Step-by-step explanation:

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What is the answer to factorise 3D+12

There it is can someone help me it's a tricky one lol

Answers

15 minutes. 28-13=15

Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )1) | m | -2 > 0

2) | x - 4 | - 3 > 5

3) | 6 + 9x | ≤ 24

4) | 1 - 5a | > 29

Answers

QUESTION 1

The given inequality is

$|m|-2>0$

We group like terms to get,

$|m|>2$

This implies that,

$-m>2$ or $m>2$ .

We simplify the inequality to get,

$m<-2$ or $m>2$ .

We can write this interval notation to get,

$(-\infty,-2)\cup (2,+\infty)$ .

QUESTION 2

$|x-4|-3\:>\:5$ .

We group like terms to get,

$|x-4|\:>\:5+3$ .

$|x-4|\:>\:8$

We split the absolute value sign to get,

$-(x-4)\:>\:8$ or $x-4\:>\:8$

This implies that,

$x-4\:<\:-8$ or $x-4\:>\:8$

$x\:<\:-8+4$ or $x\:>\:8+4$

$x\:<\:-4$ or $x\:>\:12$

We can write this interval notation to get,

$(-\infty,-4)\cup (12,+\infty)$ .

QUESTION 3

The given inequality is

$|6+9x|\leq 24$

We split the absolute value sign to obtain,

$-(6+9x)\leq 24$ or $(6+9x)\leq 24$

This simplifies to

$6+9x\ge -24$ and $6+9x\leq 24$

$9x\ge -24-6$ and $9x\leq 24-6$

$9x\ge -30$ and $9x\leq 18$

$x\ge -(10)/(3)$ and $x\leq 2$

$-(10)/(3)\leq x\leq2$

We write this in interval form to get,

$[-(10)/(3),2]$

QUESTION 4

The given inequality is

$|1-5a|>29$

We split the absolute value sign to get,

$-(1-5a)>29$ or $1-5a>29$

This simplifies to,

$1-5a\:<\:-29$ or $1-5a\:>\:29$

This implies that,

$-5a\:<\:-29-1$ or $-5a\:>\:29-1$

$-5a\:<\:-30$ or $-5a\:>\:28$

$a\:>\:6$ or $a\:<\:-(28)/(5)$

We write this in interval notation to get,

$(-\infty,-(28)/(5))\cup (6,+\infty)$

In the equation x^2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possiblevalues of b.

Answers

To factor (x² +10x+24); you first have to ask yourself, what 2 numbers will multiply and give me positive 24, but add and give me positive 10? After listing your factors, (1,24)(2,12)(3,8)and (4,6); you decide that (4*6)=24 & adds to get you 10. Meaning that (x²+10x+24) factors are (x+4)(x+6).
Now algebraically, there wouldn't be any other possible value of b, 6, because if you put (-6) & (4), those numbers will multiply and give you (-24) and add & give you (-2); & that is not what you're looking for.

I hope I explained this enough for you to understand. (:

Someone please help me with number 7) I have a test Tommorow

Answers

I hope this helps you

TenCo's junior tennis rackets has fixed costs of $740,000.00. The selling price per racket is $77.59. The variable cost per racket is $39.72. What is the break-even point in units?

Answers

B = F / (S-C)

B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit

B = 740000 / (77.59 - 39.72) = 19540.53

The breaking point is approached after selling 19541 units.

What is the next term of the following sequence?
12, 6, 3, ...

Answers

The general trench of the sequence is that it is going down in halves, so the next term in the sequence should be 1.5 :)

Answer:

Your answer is 1 1/2

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