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3 years ago

8

Two quantities are related, as show in the table^. Which equation BEST represents the relationship.

1 answer:

wel3 years ago

3 0

Well, there's a lot of ways you could do this. Because it's multiple choice, you can just pick a pair of points and whatever equation it works in, that's your answer. In this case, it's the third one down.

If you didn't have multiple choice you would use these two formulas:

m = (y2 - y1)/(x2-x1)

y - y1 = m (x - x1)

You might be interested in

Given that cos 160= -q, express each of the following in terms of q:

GenaCL600 [577]

Hello,

cos 160°=-q

cos 20°=-cos 160°=q

sin 20°=√(1-q²)=sin 160°

tan -20°=tan 160=√(1-q²)/-q

cos 70°=sin 20°=√(1-q²)

6 0

4 years ago

Read 2 more answers

to attend the football game it cost $8 for parking plus $59 per ticket if bryan paid $362 how many tickets did he purchase

PilotLPTM [1.2K]

Answer:

He bought 5.4 tickets or just 5 tickets

Step-by-step explanation:

You would add the parking fee and the football game for the total of $67. Then do 362 divided by 67

3 0

3 years ago

One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.

statuscvo [17]

Answer: The answer is $\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.$

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

$p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},$

and

$p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.$

Thus, the other root is $\dfrac{8}{3}$ and the value of 'q' is 40.

3 0

3 years ago

A promoter buys advertising in units of $30,000 each. If he buys two units of broadcast TV, one unit of cable TV, and two units

andriy [413]

Answer:

$150,000

Step-by-step explanation:

The first step is to calculate the total number of units

= 2 +1 +2

= 5

If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows

= 30,000 × 5

= 150,000

Hence the promoter spends $150,000 on advertising

4 0

3 years ago

Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope

ziro4ka [17]

Given:

Expression is

$3r^2-2r+4$

To prove:

If r is any rational number, then $3r^2-2r+4$ is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

$3(r\times r)-2r+4$

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ are rational by Property 3.

$3r^2+(-2r)+4$ is rational by property 2.

So, $3r^2-2r+4$ is rational.

Hence proved.

6 0

3 years ago