What is the equation of the line that passes through (0,-2) and has a slope of 0?

Answers

Answer 1

Answer: To solve for what the equation of a line is given the conditions in the question, let's put it in y=mx+b form so we can find the actual answer. First we need to fill in what m is. Because slope or m is 0, the part of the equation looks like this y=0x+b. 0 multiplied to anything is just 0. So it becomes y=0+b= y=b. Fill in what b is. Remember b is the y intercept the point they have given you in the question. So y=b becomes y=-2. The equation of the line is y=-2.

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What is the closed linear form for this sequence given a1 = 0.3 and an+ 1 = an + 0.75?
A) an = 0.45 - 0.75n
B) an = 0.45 + 0.50n
C) an = -0.45 + 0.75n
D) an = -0.45 - 0.75n

Answers

C) an = -0.45 + 0.75n

Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?A:6x + 12y = 13
B: 2x + y = -6
C:x - 2y = 7
D:8x - 4y = -5

Answers

Inconsistent-independent system means that there are no solutions.
Graphically the lines of those equations will never cross - the lines are parallel.

So when the two lines are parallel?
When they have the same A factors.

So when you have an equation 4x+2y=9 we need to rewrite it to
y= -2x+9/2
So the A factor is -2 (it is the number with x) and the B factor is 9/2

So all we need to do now is to find an equation with the same A factor.

Lets rewrite equations in answers:
A: 6x+12y=13 -> y=-1/2x+13/12 A=-1/2 - so it is not an equation we are looking for
B: 2x+y=-6 -> y=-2x-6 A=-2 - this is an equation we were looking for.
C: x-2y=7 -> y=1/2x-7/2 A=1/2 - so it is also not a good answer

The answer is B: the equation 2x+y=-6 will cause the inconsistent-independent system with the given equation.

Using only five odd numbers, add them up so that the result is 32, the five odd numbers have to be whole numbers only.

Answers

This is not possible. If you add an odd number of odd numbers, you will get an odd number. If you add an even number of odd numbers, you will get an even number. 5 is an odd number, but 32 is an even number, so therefore it is not possible.

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.9%, predict how many of the phones are likely to be defective. Round to the nearest whole number

Answers

About 15 phones are likely to be defective.

S = vt + 16t2 for v.

Answers

Answer:

s = vt + 16t^2

s -16t^2 = vt

s/t -16t = v

Answer:

v = s/t -16t

Step-by-step explanation:

Larry needed to by 5 books at the same price. After he uses a $30 gift card, he can spend no more than $50. What is the maximum cost of each book that he can buy?

Answers

Answer:

The maximum cost of each book will be $14 that Larry can buy.

Step-by-step explanation:

Given:

Gift card = $30

Maximum amount can be spend = $50

number of books need to buy = 5

We need to find maximum cost of each book.

Solution:

Let the cost of each book be 'x'.

So we can say that;

Sum of money of gift card and maximum money he can spend should be greater than or equal to number of books need to buy multiplied by cost of each book.

framing in equation form we get;

$5x\leq 30+50\n\n5x\leq 80$

Dividing both side by 5 we get;

$(5x)/(5)\leq (80)/(5)\n\nx\leq\$14$

Hence The maximum cost of each book will be $14 that Larry can buy.

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