All categories

3 years ago

Consider the equation 3x+4y=24

Mathematics

2 answers:

DochEvi [55]3 years ago

4 0

Answer:

Slope-intercept form is y=mx+b (m = gradient, b = y-intercept)

So we want to make y the subject.

3x + 4y =-24

4y = -3x - 24

y = (-3/4)x - 6

Step-by-step explanation:

anastassius [24]3 years ago

4 0

Answer:

La forma pendiente-intersección es y = mx + b (m = gradiente, b = intersección y)

Así que queremos convertirlo en el tema.

3x + 4y = -24

4 años = -3x - 24

y = (-3/4) x - 6

Step-by-step explanation:

You might be interested in

The total for shipping charges for the 8 full boxes was $54.75 more than the total for shipping charges for the partially filled

lakkis [162]

Answer:

Step-by-step explanation:

536 because it is correct

4 0

3 years ago

A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,00

mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

$y=ab^x$ ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

$y=95000b^x$ ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

$105000=95000b^7$

$\dfrac{105000}{95000}=b^7$

$\dfrac{21}{19}=b^7$

Taking 7th root on both sides, we get

$\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b$

Put $b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}$ in (ii).

$y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x$

$y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$

Therefore, the required exponential model for the value of home is $y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$ , where x is the number of years after 2011.

5 0

3 years ago

What is the equation of this line? y = 2x y=12x y=−2x y=−12x

Anna [14]

Y=2X

Looking at the line you can see that it is moving up from left to right, making it positive. So -2X and -12X are incorrect.

Next we can find the slope by putting rise over run. Chose a point on the line, I’ll use (2,4).
On this point we rise to 4 and run over to 2.
So for rise over run we have 4/2 which is 2.
So y=2x is correct.

6 0

3 years ago

If A = (-2,-4) and B = (-8,4), what is the length of AE?

almond37 [142]

Answer:

It's C

Step-by-step explanation: How far is it from -2 to -8 horizontally?

They are 6 apart, right?

How far is -4 to 4 vertically? 8.

__________________________________________________________

6^2 + 8^2 = c^2

36 + 64 = c^2

c = 100 = 10

___________________________________________________________

So in short yea...it's C UwU

3 0

3 years ago

Carmen has already driven 300 miles. she plans to drive 240 miles per day, for each of the remaining days in her trip write an e

Mazyrski [523]

Answer:

1020 miles

Step-by-step explanation:

m = (240 * x) + 300

m = (240 * 3) + 300

m = 720 + 300

m = 1020

6 0

3 years ago