What is the formula Y=mx+b used for?

Answers

Answer 1

Answer: To solve the line equation, B IS Y-INTERCEPT and M IS SLOPE

Answer 2

Answer: For and equation of a line where mx equals the y intercept, b equals the slope .

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A pair of equations is shown below:y = 3x − 5
y = 6x − 8

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer.

Answers

y = 3x - 5
y = 6x - 8

y = y
3x - 5 = 6x - 8
3x - 6x = -8 + 5
-3x = -3
x = -3/-3
x = 1

y = 3x - 5 ⇒ 3(1) - 5 = 3 - 5 ⇒ y = -2
y = 6x - 8 ⇒ 6(1) - 8 = 6 - 8 ⇒ y = -2

x = 1 ; y = -2 or (1,-2) is the point of intersection.

Answer:

y = 3x - 5

y = 6x - 8 We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B. x = 1 and y = -2 are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

y = 3x - 5

y = 6x - 8 We simply subtract the second equation from the first. This eliminates y:

0 = 3x - 6x - 5 - (-8)

0 = -3x - 5 + 8

3x = 3

x = 1

Now substitute for x in first equation:

y = 3(1) - 5

y = -2.

B. x = 1 and y = -2 are the values that satisfy both equations. So the liones will intersect at this point (1, -2).

Step-by-step explanation:

no need for one be sure to parapharse

There it is can someone help me it's a tricky one lol

Answers

15 minutes. 28-13=15

Translate the algebraic expression shown below into a verbal expression.x/4

The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four

Answers

The quotient of some number and four.

Population a current census shows that the population of a city is 3.5 million using the formula p= aert find the expected population of the city in 30 years of the growth rate r of the population is 1.5% a reaper prevents the current population in millions and the t represents the time in years

Answers

Answer: the expected population of the city in 30 years is 5470781

Step-by-step explanation:

The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 3.5 × 10^6

r = 1.5% = 1.5/100 = 0.015

t = 30 years

Therefore,

A = 3.5 × 10^6(1 + 0.015)^30

A = 3.5 × 10^6(1.015)^30

A = 5470781

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 60°, what is the area of the opening?

Answers

A(45degrees) = 16sin(45)(cos(45)+ 1)
= 16(1/sqrt2)(1+1/sqrt2)
= 16(1/sqrt2)(1+ sqrt2) /sqrt2
= 16(1+sqrt2) /2
= 8 + (sqrt2)/2in^2

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram?z=-1.25
z=0.80

Answers

Answer:

0.3175

Step-by-step explanation:

z=-1.25 from table is .1056

z=.80 from table is .7881

subtract from each other =.6825

Subtract from the whole is 1-.6825=0.3175

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