Line QR goes through points Q(0,1) and R(2,7). Which equation represents line QR ?

The options you provided are unclear to me, so I will respond in general terms: to determine if a point (ordered pair) lies on a line, you need to substitute the x-value from that pair into the line's equation and check if the resulting y-value matches the y-value of the ordered pair. For example, if your line is y = 4/3x + 1/3, we can check if (0, 0) and (2, 3) fit this line. We find that y = 4/3·0 + 1/3 gives us 1/3, which does not equal 0, indicating (0, 0) is not on the line. For (2, 3), substituting yields y = 4/3·2 + 1/3 = 3, meaning (2, 3) is on the line.

Answer:

I've got no idea; I just forgot the answer, but I did my best.

Step-by-step explanation:

ANSWER:

(-5, 0.5) serves as a solution for the equations x – 4y = –7, 0.2x + 2y = 0.

SOLUTION:

We start with the two equations: x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We will verify if (-5, 0.5) is a solution.

To do this, we will resolve both equations.

Let’s multiply equation (2) by 2 to facilitate the cancellation of y terms.

This transforms equation (2) into:

0.4x + 4y = 0 → (3)

Now, combine equations (1) and (3), leading to:

1.4x + 0 = -7

Next, input the x value into (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

Thus, the result for the equations is (-5, 0.5).

Therefore, (-5, 0.5) is the solution to the equations.

C. No, because at least one of the sample sizes exceeds 10 percent of the population.

Answer:

The price amounts to $9.70 per kilogram.

Step-by-step explanation:

This can be resolved using the rule of three.

In a rule of three scenario, the first step involves determining how the values are related, whether directly or inversely.

A direct relationship implies that when one measure increases, the corresponding measure also increases. In this case, cross multiplication serves as the method for the rule of three.

Alternatively, an inverse relationship indicates that an increase in one measurement causes a decrease in the other. In this scenario, line multiplication applies.

Here, the relationship is between the weight of the cheese and its cost. As the weight rises, so does the expense, representing a direct proportion.

Solution:

According to the problem, cheese is priced at $4.40 per pound. Given that each kg equals 2.2 pounds, we can deduce how many kg correspond to one pound.

1 pound - x kg

2.2 pounds - 1 kg

kg

Given that cheese costs $4.40 for a pound, and there are 0.45 kg in one pound, we calculate the cost for 1 kg.

$4.40 - 0.45 kg

$x - 1 kg

The price is $9.70 per kilogram.