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3 years ago

What is the point-slope equation of the line with slope -12 that goes through the point (5,3)

Mathematics

1 answer:

kherson [118]3 years ago

4 0

Hello,
the equation is y-3=-12(x-5)==>y=-12x+63
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N is a positive integer.Explain why n(n-1) must be an even number.

V125BC [204]

Answer:

n and (n - 1) are consecutive integers.

Step-by-step explanation:

We are given 'n', a positive integer.

This 'n' can either be odd or even.

Case I:

When 'n' is odd

The n - 1 is even.

Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.

Case II:

when 'n' is even

Then n - 1 is odd.

Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.

4 0

3 years ago

How to do this plastic help

liraira [26]

Answer:

39 degrees

Step-by-step explanation:

by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.

we also know that sum of the angles in a triangle is 180 degrees.

by using the first statement,

UWV + VWX = 180

UWV + 6x-3 = 180

UWV = 180+3-6x

= 183-6x

by using second statement,

UWV+WVU+VUW=180

substituting the values,

183-6x+2x+5+x+13=180

201-3x=180

substracting 180 from both sides,

21=3x

dividing both the sides by 3,

7=x

the angle VWX=6x-3

substituting 7=x,

VWX=6(7)-3= 39.

4 0

3 years ago

Log10 (2x + 1) - logio(3x - 2) = 1

Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0

3 years ago

Scientific notation

tatuchka [14]

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

4 0

3 years ago

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

kkurt [141]

Answer:

0.097 is the probability that the entire batch will be rejected

Step-by-step explanation:

The total number of CDs = 6500

Number of defective CDs = 110

Number of good CDs = 6500-110 = 6390

Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is

1 – [probability of accepting the entire batch]

1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]

= 0.097

4 0

3 years ago