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3 years ago

Think about the function f(x) = 3 - 2x

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

f(0) means the function output when the input is x = 0. This is the same as saying the y value when x = 0.

f(x) = 3-2x

f(0) = 3-2(0)

f(0) = 3

The point (0,3) is on the graph. This is the y intercept which is where the graph crosses the y axis. The y intercept always occurs when x = 0.

So in other words, the special name for f(0) is the y intercept.

valentinak56 [21]3 years ago

5 0

Answer:

The answer to the first one is : The output (y-value) when x = 0

f(0) = 3

What is the special name of f(0)? The y-intercept

Step-by-step explanation:

on edg. Good Luck!!!

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Two old RSM students were standing 10 feet apart when they spotted Mrs. Rifkin. If

Yakvenalex [24]

Answer:

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

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2 years ago

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Consider continuous functions f, g, h, and k. Then complete the statements.

Ghella [55]

It wouldn't let me post the answer. See images for the answer and explanation

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2 years ago

Directions: State whether or not (3, -2) is a solution to the following systems.

andrew11 [14]

(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

1. x - 2y = 7 and 2x + 3y = 0

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

2.- x - y = -5 and 3x - 4y = 17

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

brainly.com/question/13729904

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8 0

1 year ago

1.06g - 3 = 0.71 I need this answer

Arte-miy333 [17]

Simplifying 1.06g + -3 = 0.71 Reorder the terms: -3 + 1.06g = 0.71 Solving -3 + 1.06g = 0.71 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1.06g = 0.71 + 3 Combine like terms: -3 + 3 = 0 0 + 1.06g = 0.71 + 3 1.06g = 0.71 + 3 Combine like terms: 0.71 + 3 = 3.71 1.06g = 3.71 Divide each side by '1.06'. g = 3.5 Simplifying g = 3.5

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2 years ago

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Current government spending to fund public schools is about 6×1011 dollars per year. The average cost nationally for a student t

NeX [460]

60000000 students can attend public schools with the current funding

Solution:

Given that Current government spending to fund public schools is about $6 \times 10^{11}$ dollars per year

The average cost nationally for a student to attend a public school for a year is about $10,000

To find: number of students can attend public schools with the current funding

$\text{ current funding } = 6 \times 10^{11} \text{ dollars}$

$\text{ average cost for 1 student } = 10000 \text{ dollars }$

Therefore,

$\text{ number of students } = \frac{\text{ current funding }}{\text{ average cost of 1 student}}$

Substituting the values we get,

$\text{ number of students } = \frac{6 \times 10^{11}}{10000}\\\\\rightarrow \frac{6 \times 10^{11}}{10000} = \frac{6 \times 10^{11}}{10^4}\\\\\rightarrow \frac{6 \times 10^{11}}{10^4} = 6 \times 10^{11-4} = 6 \times 10^7\\\\\rightarrow 6 \times 10^7 = 60000000$

Thus 60000000 students can attend public schools with the current funding

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2 years ago