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3 years ago

8

which of the following expresses the relationship described below in function notation? "f is a function of x, and twice the squ

are of x and 7 plus the difference of x and 3 equals f

1 answer:

amm18123 years ago

8 0

F(x)=2(x+7)^2+(x-3) should be the answer.

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Maria rotated the triangle 90 degrees clockwise about the origin. What is the new triangle?

padilas [110]

Answer:

A’B’C’

Step-by-step explanation:

Well if triangle ABC is rotated 90 degrees clockwise around the origin it will turn right to create triangle A’B’C’.

4 0

3 years ago

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

Read more about equations at:

brainly.com/question/2972832

#SPJ1

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2 years ago

Which system of linear inequalities is graphed? {y>3x−2x+2y<4 {y≥3x−2x+2y≤4 {y≤3x−2x+2y≥4 {y<3x−2x+2y>4 A graph of a

guajiro [1.7K]

Answer:

{y≥3x−2

{x+2y≤4

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2 years ago

What are compatible numbers?

castortr0y [4]

Compatible numbers are numbers that are close in value to the actual numbers and easy to add, subtract, multiply, or divide mentally. They are useful in estimating the sum, difference, product, or quotient.

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3 years ago

Let $a$, $b$, $c$, and $d$ be distinct real numbers such that \begin{align*} a &= \sqrt{4 + \sqrt{5 + a}}, \\ b &= \sqrt

bekas [8.4K]

What is this :/ im confused

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3 years ago