Write the point slope form of the equation of the line through the given point with the given slope.

Explain the following terms: positive slope, negative slope, x-intercept, y-intercept << Read Less

garik1379 [7]

Hello there!

A positive slope is represented in a linear equation by a positive coefficient behind the x term. A positive slope means that the graph is on an increasing interval as x approaches +∞. In a more simple way, a positive slope means that the graph is going up from left to right.

A negative slope is represented in a linear equation by a negative coefficient behind the x term. A negative slope means that the graph is on a decreasing interval as x approaches +∞. In a more simple way, a negative slope means that the graph is going down from left to right.

The x intercept(s) of a graph are where the graph touches the x-axis. These are also known as the zero(s) OR solution(s) of the function.

The y intercept(s) of a graph are where the graph touches the y-axis.

I hope this helps!
Best wishes:)

7 0

3 years ago

The temperature in several cities in Canada are shown in the table to the right. The average temperature can be found in the sum

aliina [53]

Answer:

The one you selected is right

Step-by-step explanation:

8 0

3 years ago

Find the value of x.

dmitriy555 [2]

Answer:

x = 57°

Step-by-step explanation:

The angle not 76° or x° is 180-133 which is 47°. A triangles angles always sum up to 180° so:

76°+47°+x°=180°

123°+x°=180°

x°=57°

6 0

3 years ago

Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 1

quester [9]

Answer:

1610

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago