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3 years ago

Find the equation of the line. Use exact numbers.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

Answer:

y = $\frac{1}{2}$ x - 3

Step-by-step explanation:

Let the general equation of the line be y = ax + b

Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.

We would have:

$0 = 6a + b \hspace{25mm} ...(1)$

$-3 = a(0) + b \hspace{20mm} ....(2)$

From (2), we get: b = -3

From (1), we have -6a = b

Substituting b = -3, we get:

-6a = -3

⇒ a = 1/2

Therefore, the equation of the line would become: y = 1/2x - 3

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SOMEONE PLEASE HELP ME 3/4(x+4)=1/4(x+8)

Troyanec [42]

Answer:

x=-2

Step-by-step explanation:

To solve this equation, we can use PEMDAS or Order of Operations.

Parenthesis

Exponents

Multiplication>Division

Addition>Subtraction

Using the various properties can also help make the equation easier.

First, solve for parenthesis using the distributive property.

Our equation is now : 3/4x+3=1/4x+2

Now, subtract 2 on both sides, to cancel out the positive 2 on the right.

3/4x+1=1/4x

Now subtract 3/4x from both sides.

1=-2/4x

Finally, to isolate x, divide both sides by -2/4

1/-2/4=-2

x=-2

Hope this helps!

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2 years ago

PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST"Julie goes to the sports store and spends $40.50 before t

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Answer:

6.25

Step-by-step explanation:

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2 years ago

On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these account

ohaa [14]

Answer:

The amount of money in Enid bank account can be written as a linear equation.

Ye = Xe + $4*m

where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.

For Jim, the equation is similar:

Yj = Xj + $3*m

where Yj and Xj are similar as above.

Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).

Then we have that:

Ye = $72 = Xe + $4*7 = Xe + $28

Xe = $72 - $28 = $44

So in May 15, Enid deposited $44.

For Jim we have:

Yj = $72 = Xj + $3*7 = Xj + $21

Xj = $72 - $21 = $51

So in May 15, Jim deposited $51.

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2 years ago

16 / 4 * (3 - 1)<br><br> a) 2<br> b) 4<br> c) 8

Luda [366]

Hello,

if :

$\frac{16}{4(3 - 1)} = \frac{16}{4 \times 2} = \frac{16}{8} = 2$

if :

$\frac{16}{4} \times (3 - 1) = 4(3 - 1) = 4 \times 2 = 8$

4 0

1 year ago

Read 2 more answers

Steve sold 252 fruit baskets for a school fundraiser. Evie sold 25 fruit baskets for each 100 baskets that Steve sold. How many

Lelechka [254]

Answer:

63 baskets

Step-by-step explanation:

Given data,

Steve sold = 252 baskets

Evie sold = 25 fruit basket for each 100 basket sold by Steve

So, Evie is selling 25% of baskets sold by Steve.

We can calculate the total number of basket sold by Evie by using following formula,

Evie total basket sold = Percent sold by Evie × Basket sold by Steve

By putting the value, we get

Evie total basket sold = 25% × 252

= 63 baskets

4 0

2 years ago