Which answer is an equation in point-slope form for the given point and slope? point (1,-7) slope -2/3

Please help me with my work THANK YOU A LOT

inessss [21]

Answer:

A.)

Step-by-step explanation:

The answer that you had chosen is correct, because the number line is stating that you are subtracting 5 from 0, giving you -5. Then it is saying that you are subtracting 2 from that, giving you -7.

B.) is wrong, because they are adding the answer of the correct equation with another number, which would equal -12.

C.) is incorrect, because when you are adding a positive with a negative, you are actually subtracting, not adding. When you are doing this, always keep the sign for the answer (negative or positive) with whatever the larger addend is. So in this letter's situation, the equation would look like this: -5 + 2 = -3.

D.) is incorrect because once again, they are taking the original correct answer and subtracting it from another number, which would be -12.

I hope this helps.

5 0

3 years ago

A toy company can spend no more than $2,000 on raw materials for plastic trains and metal trains. The raw materials cost $0.80 p

Goryan [66]

Answer:

<em>The gaph is shown in the image below</em>

Step-by-step explanation:

<u>Graph of Inequalities</u>

Let's graph the region of the inequality

$0.8m + 0.4p \leq 2,000$

Since there is no indication, we'll assume the variable p to be in the horizontal axis and m in the vertical axis. Let's solve for m

$\displaystyle m=\frac{2,000-0.4p}{0.8}$

Since both m and p are positive, we can assume

$2,000-0.4p\geq 0$

Or, equivalently

$p \leq 5,000$

Thus, we can give p any value between 0 and 5,000 to get the corresponding values for m. Let's select the values p=0, p=1,000, p=5,000 to get the points

( 0 ; 2,500 ) ( 1,000 ; 2,000 ) ( 5,000 ; 0 )

With these points we can plot the line representing the function. To know which area must be shaded, we only need to test one point below or above the line. If it fulfills the inequality, then the whole area is shaded.

Let's test the point ( 1,000 ; 1,000 )

$0.8\cdot 1,000 + 0.4\cdot 1,000 \leq 2,000$

$1,200 \leq 2,000$

Since the condition is met, the area below the line must be shaded as the solution of the inequality

The gaph is shown in the image below

6 0

3 years ago

Factorise the expression: <br> x^2 - 144 <br><br> and<br><br> 2ax – 6ay + bx – 3by

emmasim [6.3K]

Answer:

(x-12)(x+12) and (2a+b)(x-3y)

Step-by-step explanation:

So first we have:

x^2-144

The key here is that there is no bx in the ax^2+bx+c equation here.

This means that b must equal 0, or in other words, cancel itself out.

To do this, first, the two factors must have opposite signs, and secondly, the blank values must be equal (x+_) * (x-_)

What could they be? The c value, 144, equals the two blank values multiplied together. Since they are in the same in this case, blank value^2 = 144, or $\sqrt{144} = blank$

$\sqrt{144} = 12$

So the answer is:

(x+12)(x-12)

Next we have:

2ax - 6ay + bx - 3by

This is a bit more tricky, but first we must facor out some numbers/variables to simplify.

Lets seperate the two parts of this equation:

2ax - 6ay and bx - 3by

Now lets look at:

2ax - 6ay

How can we simplify this? Factor the 2a, which both have in common:

2a(x-3y)

Now lets look at and factor it too:

bx - 3by

Only b can be factored out, which gives us:

b(x-3y)

Now lets put this back into our orginal equation:

2a(x-3y) + b(x-3y)

Both of these have x-3y. Concidence? Nope!

From the way we split the equation into two pieces and factored, the two x-3ys are actually the same, and we can combine them!

Then, the 2a and the +b can be combined to give us:

(2a+b)

Puttting these together gives us:

(2a+b)(x-3y)

Hope this helps!

3 0

2 years ago

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease

boyakko [2]

After a special medicine is introduced into a petri dish full of bacteria, Every second, the number of harmful bacteria remaining in the body decays by a factor of 0.97

<h3>What is bacteria?</h3>

Generally, a kind of unicellular bacteria that has characteristics with many disease-causing organisms, such as having a cell wall but lacking organelles and an organized nucleus.

In conclusion, When a certain medication is put into a petri dish that is full of bacteria, the amount of pathogenic bacteria that are still present in the body decreases by a factor of 0.97 every single second.