All categories

4 years ago

Change x+2y=-6 into y=mx+b form

Mathematics

2 answers:

Dmitry [639]4 years ago

8 0

Answer:

y = -3 - x/2

Step-by-step explanation:

x + 2y = -6

You have to isolate y by minusing x on both sides

2y = -6 - x

Then you will isolate y by dividing both sides by 2

y = -3 - x/2

ss7ja [257]4 years ago

3 0

The answer would be Y= -1/2x-3

You might be interested in

Please answer 60 points worth

Neporo4naja [7]

Answer:

The answer is C

Explanation:

This is because 2(-2) + -2 is smaller than -4

5 0

3 years ago

If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

$N=N_0e^{-\lambda t}$

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

$\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34$ , t= 10

$N=N_0e^{-\lambda t}$

$\Rightarrow \frac {N}{N_0}=e^{-\lambda t}$

$\Rightarrow \frac34 =e^{-\lambda .10}$

Taking ln both sides

$\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|$

$\Rightarrow ln|\frac34|=-10\lambda$

$\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}$

Now , N₀= 512 grams, N= 121.5 grams, t=?

$N=N_0e^{-\lambda t}$

$\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}$

$\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}$

$\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|$

$\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}$

$\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}$

$\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}$

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0

4 years ago

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, wh

brilliants [131]

The correct answer is choice C. Here is the reason. If you substitute the information into the formula this is what it would be:
A = bh/2
13 = x (6x + 1)/2
13 = (6x^2 + x)/2
26 = 6x^2 + x
0 = 6x^2 + x - 26

4 0

3 years ago

What divided by 6 equals 0.41?

dlinn [17]

2.46

I think.

Because if you multiply 6 and 0.41 you get 2.46.

6 0

3 years ago

Read 2 more answers

What is the midpoint between the points (1, 3) and (5, 7)?

DENIUS [597]

The formula of the midpoint between $A(x_A;\ y_A)$ and $B(x_B;\ y_B)$

$M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have $A(1;\ 3);\ B(5;\ 7)$

Therefore

$M_{AB}\left(\dfrac{1+5}{2};\ \dfrac{3+7}{2}\right)\to M_{AB}\left(\dfrac{6}{2};\ \dfrac{10}{2}\right)\to M_{AB}(3;\ 5)$

Answer: C. (3; 5)

4 0

4 years ago