Find the slope of the following line:
y=2/3x +4

Answers

Answer 1

Answer: y = 2/3*x + 4We knowy = mx+ c, m = gradientTherefore, x = 2/3In these questions, the "coefficient" (or multiplier) of x is equal to the gradient.

Answer 2

Answer: Slope-intercept form is

y = mx + b

where,
m is the slope
b is the y-intercept

So for the line:
y = 2/3x + 4

2/3 is the slope
4 is the y-intercept

The slope of y = 2/3x + 4 is 2/3

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Mrs. Beach bought shells at a gift shop. The red shells (r) were $0.75 each, and the white shells (w) were $0.49 each. The total cost was $4.70 for 8 shells. Later, the clerk forgot how many of each color shell he sold, so he guessed 4 red and 4 white shells. That was 8 shells, but the cost was $4.96. What advice would you give the clerk for his next guess?

Answers

The clerk’s next guess should be fewer red shells and more white shells.

The given parameters are:

Red shell costs $0.75 each
White shell costs $0.49 each
A total of 8 shells were purchased at $4.70

The clerk's guess of $4.96 for 4 red shells and 4 blue shells is greater than the actual purchase.

This means that:

The clerk should make use of fewer red shells, and additional white shells.

This is so because the unit price of the red shells is greater than that of the white shells

Read more about linear functions at:

brainly.com/question/15602982

Answer: The cost was too high. Since red shells cost more than white shells, the clerk’s next guess should be fewer red shells and more white shells. I would guess 3 red shells and 5 white shells.

Step-by-step explanation:

Which ordered pair is a solution to the equation? Y=-2x+4A. (-3, 6)
B. (-4, 5)
C. (5, -6)
D. (-6, 5)

Answers

to find that out, we need to substitute the values of each pair and see which makes the equation true:
y = -2x + 4
and the answer is C. (5, -6), lets substitute:
-6 = -2(5) + 4
-6 = -10 + 4
-6 = -6
which holds true

What is the mean absolute deviation (MAD) of the data set? {5, 9, 9, 11, 16}

Answers

Using it's concept, it is found that the mean absolute deviation (MAD) of the data set is of 2.8.

The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

In this problem, the mean is:

$M = (5 + 9 + 9 + 11 + 16)/(5) = 10$

Hence, the mean absolute deviation is:

$MAD = (|(5 - 10)| + |(9 - 10)| + |(9 - 10)| + |(11 - 10)| + |(16 - 10)|)/(5) = 2.8$

The mean absolute deviation (MAD) of the data set is of 2.8.

A similar problem is given at brainly.com/question/22355667

Mean absolute deviation is the average of the sum of all deviations of the terms from the average of the terms...

mean=(5+9+9+11+16)/5=10

mad=[(10-5)+(10-9)+(10-9)+(11-10)+(16-10)]/5=2.8

Solve with steps for this questions

Answers

Answer:

see explanation

Step-by-step explanation:

given

g(x) = 3x² - 5 then g(t) = 3t² - 5

Also g(t) = - $(7)/(2)$ t, hence

3t² - 5 = - $(7)/(2)$ t

multiply both sides by 2 to eliminate the fraction

6t² - 10 = - 7t ( add 7t to both sides )

6t² + 7t - 10 = 0 ← in standard form

(t + 2)(6t - 5) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 2 = 0 ⇒ t = - 2

6t - 5 = 0 ⇒ t = $(5)/(6)$

7/2t. That’s my answer but sorry I didn’t work it out

At 8:00, the temperature was 6 degrees Celsius (°C). Three hours later, the temperature was -13°C. By how many degrees Celsius did the temperature change?