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3 years ago

What is the y-intercept of the graph of the equation 6x-5y=-15

Mathematics

1 answer:

guapka [62]3 years ago

7 0

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

$\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y$ .....(1)

The general equation of slope-intercept form is:

y = mx +c ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

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The value of y varies directly with x, and y = 18 when x = 12. find y when x = 132.

sveta [45]

This would be 198 because 12 times 1.5 equals 18 so when you multiply 132 by 1.5 you get 198

4 0

3 years ago

The school cafeteria ordered 42 boxes of pasta. Each box contained 24 ounces. Drag numbers from the box to write two different e

Goshia [24]

Answer:

$Boxes = 1008oz$

Step-by-step explanation:

Given

$Boxes = 42$

$1\ box = 24oz$

Required

Determine the number of ounces ordered

The question is incomplete, as the numbers to drag are not given. However, the alternate solution is as follows:

$Boxes = 42\ boxes$

This can be rewritten as:

$Boxes = 42 * 1\ box$

Substitute 24oz for 1 box

$Boxes = 42 * 24oz$

$Boxes = 1008oz$

<em>Hence, a total of 1008 ounces were ordered</em>

5 0

2 years ago

Solve log x = 2.

Sever21 [200]

Answer:

If log x = 2

x = 100

Step-by-step explanation:

Logarithm always has a base and an index. It can be I many forms.

It can be in base 2, 3, 4, 5, and so on.

It is a property of logarithm that if

logarithm of 'a' to base 'b' equals 'x', we write:

log_b (a) = x

Then,

a = b^x.

Usually, when a logarithm is written without a base, it tells us that it is in base 10. Instead of writing a logarithm of x to base 10,we can just write 'log x', it is sufficient to say that it is in base 10.

It can also be in the form of the Napierian Logarithm, 'ln'.

'ln x' is logarithm to base 'e'.

if ln x = 5

Then

x = e^5.

So,

log x = 2

Means logarithm of 'x' to base 10 equals 2.

x = 10^2

= 100

x = 100

3 0

3 years ago

Brooklyn is starting a running plan to train for a race . In the first week of her running plan , Brooklyn will run 8 miles . Th

Elanso [62]

Answer:

36.5 miles

Step-by-step explanation:

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3 years ago

Read 2 more answers

Samuel's Car Service will charge a flat travel fee of $4.75 for anyone making a trip. They charge an additional set rate of $1.5

ivolga24 [154]

D. You have 4.75 flat and 1.5 every time you are driving another mile.

6 0

3 years ago