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Mrac [35]
3 years ago
13

A function that is continuous over a finite closed interval necessarily have both a maximum and a minimum value over that interv

al. true or false
Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
False... f(x) = 5 does not have min/max
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Determine if the following equations form a perpendicular line or not
GREYUIT [131]
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.

If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2

<h2>6.</h2>

Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: -5y=-2x+8

Next, divide both sides by -5 and your slope-intercept form is y=\frac{2}{5}x+\frac{8}{5}

Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>

<h2>7.</h2>

It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:

6x-3y=15 \\-3y=-6x+15\\y=2x-5\\\\2x+4y=-12\\4y=-2x-12\\y=-\frac{1}{2}x-3

Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>

5 0
3 years ago
Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same info
kow [346]

Graph is your answer look below for proof

have a good day!

                                                                     

3 0
3 years ago
How many solutions does the following system of equations have?<br> 2y=2x+4<br> y=3x+2
lara31 [8.8K]
It has one solution
6 0
4 years ago
I need to know this fast!!!
pochemuha

Answer:

Step-by-step explanation:

$7.25 - $5.75 = $1.50

$1.50 ÷ $0.50 = 3

7 0
3 years ago
How do I do this? Please provide steps.
matrenka [14]

Answer:

3/5

Step-by-step explanation:

Soh Cah Toa

In some trigonometry classes, this acronym is very important to solving questions like this.

Why?

It tells us the right triangle-definition of these trigonometry functions.

We have that cosine of an angle is equal to tge side that is adjacent to it over the hypotenuse.

So here we are asked to find cos(B).

Lets look at triangle respect to the angle B

The measurement of the side that is opposite is 64.

The measurement of the side that is adjacent is 48.

The measurement of the hypotenuse is 80.

So cos(B)=48/80.

Let's reduce. 48 and 80 have a common factor of 8 so divide numerator and dexter by 8. This gives us:

cos(B)=6/10.

One more step in reducing. Both factors are even so cos(B)=3/5.

6 0
3 years ago
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