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3 years ago

F(x) = x, g(x) = 2x combining functions

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

Answer:

f(x) + g(x) = 3x

Step-by-step explanation:

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That is the answer :)

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3 years ago

Chris is selling chocolates

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Answer:

Step-by-step explanation:

28.75 ÷ 5.75= 5 so 5 boxes have been sold.

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3 years ago

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A double rotation can ___ be written as a single rotation

Gnesinka [82]

Answer:

Always

Step-by-step explanation: because I did it and got the answer right

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4 years ago

10 subtracted from the quotient of a number and -3 is at least -1

Mazyrski [523]

10 subtracted from the quotient of a number and -3 is at least -1 is:

$\left(\frac{x}{-3}\right)-10\ge \:-1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-27\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-27]\end{bmatrix}$

Solution:

Given statement is:

10 subtracted from the quotient of a number and -3 is at least -1

Quotient means reuslt of dividing two numbers

Let the number be "x"

quotient of a number and -3 = $\frac{x}{-3}$

Therefore,

10 subtracted from $\frac{x}{-3}$ is at least -1

at least means "less than or equal to"

Which is translated into algebraic expression as:

$(\frac{x}{-3}) - 10\geq -1$

Solve the above inequality

$\left(\frac{x}{-3}\right)-10\ge \:-1\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\\\\frac{x}{-3}-10+10\ge \:-1+10\\\\\mathrm{Simplify}\\\\\frac{x}{-3}\ge \:9\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)$

When we multiply or divide by negative number. we have to flip the inequality sign

$\frac{x\left(-1\right)}{-3}\le \:9\left(-1\right)\\\\\mathrm{Simplify}\\\\\frac{x}{3}\le \:-9\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\\\frac{3x}{3}\le \:3\left(-9\right)\\\\\mathrm{Simplify}\\\\x\le \:-27$

Thus the solution of inequality is found

4 0

4 years ago

Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8

Andrei [34K]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, then

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

3 0

3 years ago