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3 years ago

Write a linear function F with F (0) = 2 and F (2) = 4

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

f(x) = x + 2

Step-by-step explanation:

A linear function has the form

f(x) = mx + c

Evaluate f(0) = 2, that is

2 = m(0) + c

2 = 0 + c ⇒ c = 2

Evaluate f(2) = 4, that is

4 = 2m + c ← substitute c = 2

4 = 2m + 2 ( subtract 2 from both sides )

2 = 2m ( divide both sides by 2 )

1 = m

Hence

f(x) = x + 2 ← is a possible linear function

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D) Two lines that intersect at 90 degree angles
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4 years ago

7. The area of a playground is 84 yd?. The width of the playground is 5 yards longer than its length. Find the length and width

likoan [24]

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2 years ago

The area of a square is 5 far more than the perimeter. Find the length of a side.

sweet [91]

The length of a side of square is 5.

Step-by-step explanation:

Given,

Area of square = a²

Perimeter of square = 4a

According to given statement;

Area of square = Perimeter + 5

$a^2=4a+5\\a^2-4a-5=0$

Factorizing the equation;

$a^2-5a+a-5=0\\a(a-5)+1(a-5)=0\\(a-5)(a+1)=0$

Either,

a-5=0 => a=5

Or,

a+1=0 => a= -1

As length of a side cannot be negative, therefore,

Length of a side of square = 5

The length of a side of square is 5.

Keywords: area, perimeter

Learn more about perimeter at:

#LearnwithBrainly

3 0

4 years ago

A, b and c stand for three different numbers

creativ13 [48]

To find the mean, you add up the numbers and divide by
how many numbers there are.

So if the mean of 'A' and 'B' is 40, then A + B = 80 .
And if the mean of 'B' and 'C' is 35 then B + C = 70.
==========================================
You said that (A + B) + C = 100 .

From something else that you said, I noticed that A + B = 80 .

So I can write (80) + C = 100

Subtract 80 from each side: C = 20
==========================================
I also noticed, from what you said, that B + C = 70 .

So I can write B + 20 = 70

Subtract 20 from each side: B = 50
==========================================
Now I know that C = 20 and B = 50.

Finally, you said that A + B + C = 100 ,

So I can write A + 50 + 20 = 100

Combine like terms on the left: A + 70 = 100

Subtract 70 from each side: A = 30
==========================================

  A = 30
 B = 50
 C = 20

5 0

4 years ago

A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (5x+8)

nevsk [136]

Answer:

The perimeter of both figures is equal to $64\ units$