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topjm [15]
3 years ago
8

Write the equation in slope-intercept form of the line that has a slope of 2 and contains

Mathematics
1 answer:
mina [271]3 years ago
8 0

Equation in slope-intercept form is y = 2x - 6

Step-by-step explanation:

  • Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

  • Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

  • Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6

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[HELP ASAP]~ A city has a population of 240000 people. Suppose that each year the population grows by 4%. What will the populati
Georgia [21]

Answer:

multiply the population each year by 4% or 0.04

year 1 increase by 9600, population 249,600

year 2 increase by 9984, population 259,584

year 3 increase by 10,383, 269,967

year 4 increase by 10,799, 280,766

year 5 increase by 11,231, 291,997

year 6 increase by 11,680, 303, 677

Step-by-step explanation:

I rounded the totals.

8 0
3 years ago
Find the recursive rule, explicit rule, and f(20)
DiKsa [7]

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

5 0
3 years ago
In circle O, what is mAE?<br> 84°<br> 96°<br> 120°<br> 168°
shutvik [7]
The answer is 120 degrees on edgenutiy<span />
7 0
3 years ago
Read 2 more answers
Solve.
Ray Of Light [21]

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

5 0
3 years ago
I'm not sure how to start solving the problem (I'm not sure if I need to find circumference/perimeter bc it's asking how much pa
katrin [286]
The answer would be approximately 56.52 inches squared.

You are suppose to find the lateral surface area, since the label only go around the can, excluding the top and bottom.
To find the lateral surface area, you'd need to find the circumference of the circle, and then multiply that by the height.
Since C = πd, 3.14..*3 ≈ 9.42. And 9.42*6 = 56.52. Conclusively, the approximate amount of paper needed to make the can's label would be about 56.52 inches squared.
8 0
3 years ago
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