An item was purchased for m dollars. Sales tax is 8%. Write an expression that represents

Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.

Aleks04 [339]

Let
<span>A------> (−3, −11)
B------> (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> </span>m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4) find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case <span>a. they have the same slope------> is not correct
because
</span><span>y=35x−6------> the slope m=35
</span>y=(5/3)x-6---> the slope m =5/3

case <span>b. they have the same x-intercept.----> is not correct
because
</span>the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case <span>c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> </span><span>this condition is not satisfied
</span>
the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0

3 years ago

Let x be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by f(x)=⎧⎩⎨⎪⎪⎪

sattari [20]

Option a is correct. The calculated answer is 0.150

<h3>How to get the value using the cdf</h3>

In order to get P(0.5 ≤ X ≤ 1.5).

This can be rewritten as

p = 0.5

and P = 1.5

We have the equation as

$\frac{1}{16} x^{2}$

This would be written as

1.5²/16 - 0.5²/16

= 0.1406 - 0.015625

= 0.124975

This is approximately 0.1250

Read more on cdf here:

brainly.com/question/19884447

#SPJ1

<h3>complete question</h3>

Use the cdf to determine P(0.5 ≤ X ≤ 1.5).

a) 0.1250

b) 0.0339

c) 0.1406

d) 0.0677

e) 0.8750

f) None of the above

4 0

1 year ago

What is the slope of the line

STALIN [3.7K]

The answer you chose in the photo is correct !!

5 0

2 years ago

What is the derivative of y with respect to x if y = 2/X4

zepelin [54]

You're correct, the answer is C.

Given any function of the form $y=x^n$ , then the derivative of y with respect to x ( $\frac{dy}{dx}$ ) is written as:
$\frac{dy}{dx}=nx^n^-^1$

In which $n$ is any constant, this is called the power rule for differentiation.

For this example we have $y= \frac{2}{x^4}$ , first lets get rid of the quotient and write the expression in the form $y=x^n$ :
$y= \frac{2}{x^4} =2x^-^4$

Now we can directly apply the rule stated at the beginning (in which $n=-4$ ):
$\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}$

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).

6 0

3 years ago

Describe two different ways that you could find the product 8 x 997 using mental math. Find the product and explain why your met

jolli1 [7]

One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.

Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.

5 0

2 years ago