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3 years ago

Please can someone answer these for me and give the question number for the answer. Thank you in advance

Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

16) -4
17) 61
18) -1
19) 15

If you need explanation or process , comment !

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What is the value of |-3.25| And |-4.25|

Yakvenalex [24]

The values are |-3.25| = 3.25 and |-4.25| = 4.25

<h3>How to determine the values of the expressions?</h3>

The expressions are given as

|-3.25| and |-4.25|

The above expressions are absolute value expressions

And as a general rule, an absolute value expression, when evaluated must follow the following rule

|±a| = a

Using the above as a guide, we have

|-3.25| = 3.25

Also, we have

|-4.25| = 4.25

Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25

Read more about absolute value expressions at

brainly.com/question/13282457

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1 year ago

A the slope of f(x) is greater than the slope of g(x)

Komok [63]

To find the slope of g(x), use the slope formula(m):

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in two points, I will use:

(0, 2) = (x₁, y₁)

(5, 4) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-2}{5-0}$

$m=\frac{2}{5}$

You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

$m=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-) from each distinguished point

Run is the number of units you go to the right from each distinguished point

If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is $\frac{2}{3}$

Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A

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3 years ago

Find the slope and y-intercept of the line that is

Vlad [161]

Remark

Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.

Solution

Find the slope of the new line

m1 = - 1/3

m2 = ??

m1 * m2 = - 1

(-1/3) * m2 = - 1

You could continue by changing (-1/3) to a decimal.

(-0.3333333333) * m2 = -1 Now divide by the decimal

m2 = - 1/ (-0.3333333333)

m2 = 3 which is what my calculator tells me the answer is.

So far what you have is

y = 3x + b

Use the point (-3, -7) to get the y intercept.

-7 = 3(-3) + b

b - 9 = - 7

b = -7 + 9

b = 2

y = 3x + 2 Answer

Graph

The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.

The green dot is the point (-3 , - 7)