Give one equation that could generate the ordered pair (2,8)

Answers

Answer 1

Answer: 1). x = 2

2). y = 8

3). y = 4x

4). y = 10x - 12

5). y = 2 x²

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3. Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg 8ft long and the hypotenuse is 10ft long

Answers

10 squared minus 8 squared.

=36

square root 36= 6

a² + b² = c² ⇒
a² + 8² = 10² ⇒
a² = 10² - 8² ⇒
a² = 100 - 64⇒
a² = 36 ⇒
a = √36⇒
a = 6

the length of the leg is 6ft long

28. A gardener measures her sunflower each day.The sunflower is currently150 cm and grows 0.25cm per day.
Part 1 - A) Linear Function
Part 2 - Explain your Reasoning:
B) Exponential Function

Answers

Answer:

Step-by-step explanation:

y = 0.25x + 150

y = total height after x days

x = total of days

since the rasio of difference in y (Δy) and difference in x (Δx) is constant, therefore it is applicable to linear function

Answer:

1) $\boxed{\rm{l = 150 + 0.25n}}$

where,

l is the length of the sunflower
n is the number of days.

2) The initial length of sunflower is 150 cm and it grows about 0.25 cm per day. It means it has grown 0.25 cm on the first day, then 0.25 × 2 = 0.5 cm on the second day, 0.25 × 3 = 0.75 cm on the third day and so on.. The total increase = 0.25 × n where n is the number of days. Now add the increase to the initial length of the sunflower to get the final length of the sunflower $.$

Could someone help me with number 3?

Answers

Answer:X=40

Step-by-step explanation:

3inx+2in(4)=in(128)

Step 1: Add -8in to both sides.

3inx+8in+−8in=128in+−8in

3inx=120in

Step 2: Divide both sides by 3

then you will get your answer

solve for x by simplifying both side of the equation the isolating the variable.

x = 8/3 + 128/3in

Find all the real and complex solutions of the polynomial equation. Be sure to show ALL work (4 points):x3-2x2+9x-18=0

Answers

2, 3i, -3i are the real and complex solutions of the polynomial equation.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is x³-2x²+9x-18

x³-2x²+9x-18=0

Take the common terms from first two terms

x²(x-2)+9(x-2)

(x²+9)(x-2)=0

(x²+3²)(x-2)=0

x-2=0

x=2

and x²+3²=0

x=3i and x=-3i

Hence, 2, 3i, -3i are the real and complex solutions of the polynomial equation.

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