All categories

2 years ago

Convert 3x-y=-5 to slope intercept form

Mathematics

2 answers:

mariarad [96]2 years ago

4 0

Answer:

y = 3x + 5

Step-by-step explanation:

The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept. y = m x + b

Serga [27]2 years ago

3 0

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

-y=-5-3x

divide each term

y=5+3x

reorder 5 and 3x

answer:y=3x+5

You might be interested in

Using the graph, what does f(8) equal?<br> PLEASE I NEED SO MUCH HELP!!

Shtirlitz [24]

Answer:

Step-by-step explanation:

The question is not terrifically worded. What it means is "What is the y value when x = 8" That's what f(8) conveys to you.

The answer (though zero is not marked and should be) is 1 unit above 0.

The answer is f(8) = 1 He's heading back.

5 0

2 years ago

Can you explain to me the answers in a and b?

Hoochie [10]

a. The constant of proportionality is k = 2

b. If Micah saves $150, his parents will give him $300

<h2>Explanation:</h2>

From mathematics, we know that $y$ varies directly as $x$ or $y$ is directly proportional to $x$ if and only if:

$y=kx$ for some nonzero constant $k$ .

Here we know some facts:

For every $5 that Micah saves, his parents give him $10.

In other words:

Let y be the money his parents give him.

Let x be the money that Micah saves.

$We \ know \ that: \\ y=kx \\ \\ \\ Solving \ for \ k: \\ \\ k=\frac{y}{x} \\ \\ k=\frac{10}{5} \\ \\ \boxed{k=2}$

So,<em> the constant of proportionality is k = 2</em>

In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

$For \ x=150 \ and \ k=2: \\ \\ y=2(150) \\ \\ \boxed{y=300}$

Finally, <em>if Micah saves $150, his parents will give him 300$</em>

<h2>Learn more:</h2>

Cost of pizzas: brainly.com/question/12878495

#LearnWithBrainly

5 0

3 years ago

An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 gr

dmitriy555 [2]

Answer: 11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

550(0.812)

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812

\log 0.109091=\log 0.812^x

log0.109091=log0.812

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

log0.812

xlog0.812

Divide both sides by log(0.812)

10.638757=x

x\approx 11

x≈11

5 0

3 years ago

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint.

tensa zangetsu [6.8K]

Answer:

<u>We have 31/36 gallons of paint left after painting the mural.</u>

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

-We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

- We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

-We have to multiply 3/4 by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

<u>So, We have 31/36 gallons of paint left after painting the mural.</u>

==================================================================

<em>Hope I helped, Have a nice day!</em>

6 0

2 years ago

Help me plsss science

cestrela7 [59]

Answer:

Step-by-step explanation:

8 0

2 years ago