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Alex17521 [72]
2 years ago
12

What dose each part of the equation represent? pls help

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

m is the slope of the line

b is the y-intercept

Step-by-step explanation:

We are given the form of a linear equation in slope intercept form as;

y = mx + b

Now, the meaning of each term of the equation is;

m is the slope of the line

b is the y-intercept

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Please help<br> Find f(-3).<br><br> f(x) = 4x + 7<br> A) -5 <br> B) 5 <br> C) 6 <br> D) 10
irina1246 [14]

Answer:

A

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x), that is

f(- 3) = 4(- 3) + 7 = - 12 + 7 = - 5 → A

7 0
3 years ago
Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

6 0
3 years ago
Which equation has a solution of n = 4?
Allushta [10]

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}

5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}

12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}

7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}

Therefore the answer is D

4 0
2 years ago
Read 2 more answers
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
What is the solution of the system? Use elimination. <br> 3x - 4y = 9<br> -3x + 2y = 9
densk [106]
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

-2y = 18

18/-2 = -9.

Now we have y = -9, and we can go back into the problems to solve for x.

<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.

3x = -27

x = -9.

Confirm with the final equation:

-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.

6 0
3 years ago
Read 2 more answers
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