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3 years ago

The output equals 1 less than three times the input

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Complete Question:

The output equals 1 less than three times the input

Write and solve any equation to find input when the output is -3

Answer:

y = 3x - 1

x = -⅔ when y = -3

Step-by-step explanation:

Given

Represent the input with x and the output with y.

First, we need to write out the output as a function of the input.

[Three times the input] implies 3 * x

[1 less than this] implies 3*x - 1

The above expression is said to be the output.

So,

y = 3 * x - 1

y = 3x - 1

The next part of the question is to solve for x when y = -3

Substitute -3 for y in y = 3x - 1

-3 = 3x - 1

Collect Like Terms

3x = 1 - 3

3x = -2

Solve for x

x = -⅔

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Which function has a range of y < 3? y=3(2)* y=2(3) y=-(2)*+ 3 O y=(2]*_3

jasenka [17]

Answer:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

Step-by-step explanation:

The function given by $y = - (2)^{x} + 3$ will have a range of y < 3.

This is because, for any real values of x, the term $- (2)^{x}$ will have a negative value. If we put x = 1, then, $- (2)^{x}$ = - 2, and for x = -1, then $- (2)^{x}$ = - 0.5.

That means $- (2)^{x} < 0$ for all real x.

Hence, $- (2)^{x} + 3$ < 0 + 3

⇒ y < 3 for all real x. (Answer)

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3 years ago

An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtai

Vinvika [58]

Answer:

Simple linear equation is :

Y = 86.784 - 2.67x

Step-by-step explanation:

The educator wants to see the relationship between no of absences and final grades of the student. No. of absence of student is independent variable while final grade is dependent variable. The final grades of the student are dependent on the no. of absence they do.

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3 years ago

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andrew-mc [135]

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2 years ago

Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/

guapka [62]

Answer:

$14.43¢

Step-by-step explanation:

We are given; $1\frac{2}{5}$ pounds, 1 pound = $4.20 and $2\frac{1}{4}$ pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $1\frac{2}{5}$ to a decimal. It is 1.4. Now we can set up a graph.

Avocados

$\frac{4.2}{1}=\frac{x}{1.4}$

Switch sides

$\frac{x}{1.4}=\frac{4.2}{1}$

Apply rule: $\frac{a}{1}=a$

$\frac{x}{1.4}=4.2$

Multiply both sides by 1.4

$\frac{1.4x}{1.4}=4.2\cdot \:1.4$

Simplify

$x=5.88$

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $2\frac{1}{4}$ to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

$\frac{3.8}{1}=\frac{x}{2.25}$