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3 years ago

If f(x) = 5x^2 - 7x + 9 and g(x) = 3x^2 - 6x -4, what is (f-g)(x)?

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

Answer:

(f-g)(x) = 2x^2-x +5

Step-by-step explanation:

i think this is right the question is a little confusing

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The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails

My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Linear Regression

Step-by-step explanation:

We can draw any best line of fit, as long as it is reasonable around the points that are given.

We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.

Using Linear Regression, we can determine the true best line of fit using graphing utilities.

Finding the best line of fit

Define 2 points

Point (21600, 205)

Point (27000, 290)

Find slope m

Substitute in point [SF]: $\displaystyle m=\frac{290-205}{27000-21600}$
[Fraction] Subtract: $\displaystyle m=\frac{85}{5400}$
[Fraction] Simplify: $\displaystyle m=\frac{17}{1080}$

Find equation

Define equation [SIF]: $\displaystyle y = \frac{17}{1080}x + b$
Substitute in point: $\displaystyle 290 = \frac{17}{1080}(27000) + b$
Multiply: $\displaystyle 290 = 425 + b$
Isolate y-intercept b: $\displaystyle -135 = b$
Rewrite: $\displaystyle b = -135$
Redefine equation: $\displaystyle y = \frac{17}{1080}x - 135$

Slope-Intercept Form tells us that our slope m = $\displaystyle \frac{17}{1080}$ and our y-intercept $\displaystyle b = -135$ .

Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).

Using Linear Regression

Depending on the graphing calc you have, the steps may be different.

Using a graphing calc, we can use statistics and determine the best best line of fit.

When we determine the values, we should see that our equation would be g(x) (Green Line).

Credit to Lauren for collabing w/ me in graphing.

6 0

2 years ago

Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are −$2.5

Basile [38]

Answer:

-$200

Step-by-step explanation:

Given that:

Net earning per bouquet for the month= - $2.50

On a particular day of the month, 20 bouquet was sold ;

Net earning for the day:

Net earning per bouquet * number of bouquet

-$2.50 * 80

= $200

Hence, net earning for Tuesday = - $200

6 0

3 years ago

Determine the value of x in the diagram where lines a and b are parallel

Yakvenalex [24]

If lines a and b are parallel, the two angles given would be the same.
2x - 5 = x + 20
x = 25

6 0

3 years ago

Marissa bought 2 and a half gallons of orange juice to make punch how many quarts of orange juice did. Marissa buy

Nookie1986 [14]

The answer is as follows:
There are 2 pints in a quart.
There are 2 quarts in a half gallon.
There are 2 half gallons in a gallon.
Therefore, we can conclude that there are 10 quarts of orange juice.

7 0

2 years ago

Find the value of x in the equation below. 17 = 14 +2

ozzi

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers