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3 years ago

Is the function y= 2 5 x2+ 7 10 x–6 linear or nonlinear?

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

Step-by-step explanation:

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astraxan [27]

You want to find the value of x for which the area under the curve to the left of x is 0.6. One way to do that is to create the cumulative distribution function (CDF) for the given PDF, then see where it is equal to 0.6.

Doing that, we find a = 5.

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3 years ago

Given SP = TP

balu736 [363]

Answer:

Step-by-step explanation:

Statements Reasons

1). SP ≅ TP 1). Given

2). PQ bisects ∠SPT 2). Given

3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector

4). PQ ≅ PQ 4). Reflexive property of congruence

5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence

7 0

3 years ago

the length of a rectangle is 7 inches greater than three times its width write an expression to represent its area

icang [17]

Step-by-step explanation:

Let the length be L.

Let the breath be B.

So, we are given that

length of a rectangle is 7 inches greater than three times its width .

So, according to the Question,

L = 7+ 3B.

So, we know that:-

Area = Length× Breadth.

So, it will be

B × (7 + 3B) = Area.

So,

3B² + 7 is an expression to represent its area.

3 0

3 years ago

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago

Find the slope of the line that passes through the points (2, -5) and (3, -6)

Alecsey [184]

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

5 0

3 years ago