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3 years ago

GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 3 x − 1, determine the slope of the line.

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

The general equation for a linear equation is $y=mx+c$

y is the y-coordinate
x is the x-coordinate
m is the gradient of the slope
c is where is passes through the y axis

So if you breakdown this equation ( $y=\frac{2}{3} x-1$ ) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.

Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'

You might be interested in

A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current leve

Len [333]

Answer:

The correct option is C.

Step-by-step explanation:

The given functions are

$g(x)=10(2)^{x-1}$

$h(x)=2x$

It is given that the point needed for next level is defined by the function g(x) and hardest setting promises to multiply the points needed in each level according to the function h(x) .

The total points will a player need on the hardest setting of level 5 are

$g(5)\times h(5)=10(2)^{5-1}\times 2(5)$

$g(5)\times h(5)=10(2)^4\times 10$

$g(5)\times h(5)=10(16)\times 10$

$g(5)\times h(5)=160\times 10$

$g(5)\times h(5)=1600$

Therefore the total points will a player need on the hardest setting of level 5 are 1600 and option C is correct.

3 0

4 years ago

Read 2 more answers

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

Our product is 72. the difference between us is 1. what number are we?

Over [174]

Answer: 8 and 9

Step-by-step explanation:

8 times 9 equals 72

9 minus 8 equals 1.

8 0

4 years ago

What is the slope of the line plotted below? O A. 0.25 B. -0.25 O C. -0.5 O D. 5

Dimas [21]

Answer:

m= -0.25 b=2.25 the answer is -0.25

5 0

3 years ago

I need help pleaseeeee this is due tomorrow

sveta [45]

Another way of finding Surface Area is

SA= 2LW+2LH+2HW

L= Length

W= Width

H= Height

the answer, and explained, would be this

2. SA= 2(12)(10)+2(12)(16)+2 (10)(16)

(multiply)

3. SA= 240 + 384 + 320

(add)

The answer is..

SA=944ft3

7 0

3 years ago