Write an equation in slope intercept form with a slope of 1/4 and a y-intercept of 6

Answer:

0.175

Step-by-step explanation:

Answer:

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation

SIMPLIFY TO A SINGLE POWER OF 6:

[tex]\dfrac{6^5}{6} = \dfrac{6^5}{6^1} = 6^{5-1} = 6^4[/tex]

Answer:

6^4

Step-by-step explanation:

Since we aren't given a power in the denominator we can rewrite it as 6^1 since that equals 6 either way. Use the rule [ x^y/x^z = x^y-z ] to rewrite as a single power. Thus, 6^5-1 = 6^4.

Best of Luck!

Answer:

area = 84m^2

Step-by-step explanation:

you cant find the slope without a graph or two points so if you add a graph or two points maybe I can help you

Answer:

1

Step-by-step explanation:

x = 1x, but the 1 is omitted

Because of y=mx+b, where slope = m, m=1

Answer: The answer is B

Step-by-step explanation:

Look at A- You can see that it wants you to go to English and see that 50 freshmen chose english. Then, you go to undecided, you see that it has 50 freshmen who chose it as well. They are the same, so it is false.

Look at B- You can see that it wants you to go to Education and see that 60 people chose Education. Then you go to both Science or other and see that they are both less than Education. So, this statement would be correct.

Look at C- You can see that it wants you to go to business or Education and see that 45 people chose business and 60 people chose education. Go to science, 35 people chose science and 40 chose engineering. This is false.

Look at D- 45 people chose business as their major and 50 chose english as their major, so no this wouldn't be correct because 45 if less than 50 and it says that it would be greater than 50.

So, B would be the correct answer to this problem.

Answer:

Its $28.548

Step-by-step explanation:

Because 10 percent of 23.4 is 2.34 and times that by two is 4.68, but then you have to find that 2 percent so I found the 1 of percent of it which is .234. So since you want 2 percent multiply .234 by two so then just add 4.68 and youll get the answer .

Answer:

105 students

Step-by-step explanation:

Do not forget draw with a rular and protractor

Answer:

It can sometimes be equal to π. However, it is equal to our central angle.

Step-by-step explanation:

First, recall that arc length is given by:

[tex]s=r\theta[/tex]

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

[tex]\displaystyle \frac{r\theta}{r}[/tex]

The radius r cancels. Hence, we are left with:

[tex]=\theta[/tex]

So, the ratio of the arc length to the radius does not equal π (although it can sometimes if the central angle is π radians (or 180°)). Rather, the ratio is equivalent to the central angle.

So, for example, if we have a circle with radius 7 with a central angle of 3π/2 (this gives us an arc length of 21π/2), then the ratio of the arc length to the radius will be 3π/2 (our central angle).

Answer:

Sometimes it can be equal to π. It is equal to our central angle.

Step-by-step explanation:

Recalling arc length is given by:

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

rθ/θ

The radius r cancels. Hence, we are left with:

= θ

Answer:

-3/2 = -1.5

Step-by-step explanation:

u can use wolfram alpha for stuff like that

Answer:  You see this is q trick question meant to get your brain all confused. IT gives you the answer, It states that Tony is 36 years old and Angela is 4 and 1/2 years older than Tony which would make her 40 1/2 years old.

Step-by-step explanation:

Answer:

$2.50

Step-by-step explanation:

Ashley bought two packets less so the $5 is the cost of two packets so just divide 5 by 2

Answer: p = 1500

Step-by-step explanation:

Initially, there were 1200 people.

After the given interval, we know that the auditorium is 90% full (where the auditorium can hold a maximum of 3000 people)

Then after the interval, the number of people in the auditorium is equal to the 90% of 3000.

When we have a percentage X of a quantity A, the quantity of the percentage X is:

N = (X/100%)*A

In this case, the 90% of 3000 is equal to:

N = (90%/100%)*3000 = 0.9*3000 = 2700.

Then, at the beginning of the interval there were 1200 people, and at the end there were 2700.

The difference is:

p = 2700 - 1200 = 1500

This means that the number of people who entered the auditorium dirung the time interval is 1500.

Answer:

b

Step-by-step explanation:

Answer:

The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

76.16 kilograms of food

Step-by-step explanation:

Number of cyclist = 32

Food per cyclist = 8.33 kilograms

Days of the trip = 7 days

Food per cyclist per day = 8.33 kg / 7

= 1.19kg food per day for each cyclist

how many kilograms of food will the group be carrying at the end of Day 5?

5 days out of 7 days = 2 days

Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days

= 2 × 1.19

= 2.38 kilograms of food for two days

32 cyclist for 2 days = 32 × 2.38 kg of food

= 76.16 kilograms of food

The group will be carrying 76.16 kilograms of food at the end of Day 5

Answer:

We cant see the question

Step-by-step explanation:

You cant post images because we can't see them

Answer:

3 laps

Step-by-step explanation:

6 / 2 = 3

Answer:

$800

Step-by-step explanation:

2,400/3 = 800

Answer:

She walked 1  1/5 miles per hour.

Step-by-step explanation:

Answer:

A 6x+11 that is the answer

Answer:

Positive, Negative, undefined, positive

Step-by-step explanation:

Answer:

p = 100(J/K - 1)

Step-by-step explanation:

When we want to make a variable the subject of an equation, we want to get that variable by itself on one side of the equation - to unwrap it from all the operations attached to it.

Here's what the process looks like for p:

[tex]J=K(1+p/100)\\J/K=1+p/100\\J/K-1=p/100\\p=100(J/K-1)[/tex]