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Agata [3.3K]
3 years ago
11

Evaluate the function below for X=3:

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

42

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

2x³ - x² - 4x + 9

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    2(3)³ - 3² - 4(3) + 9
  2. Exponents:                          2(27) - 9 - 12 + 9
  3. Multiply:                               54 - 9 - 12 + 9
  4. Subtract:                              45 - 12 + 9
  5. Subtract:                              33 + 9
  6. Add:                                     42
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What is the slope of the line that passes through the points (-9, -3) and (1, -3)?
anastassius [24]

Answer:

The slope is 0.

Step-by-step explanation:

m= (y2-y1)/(x2-x1).

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

8 0
3 years ago
PART 1. HERE ARE THE NUMBERS I CAME UP WITH I JUST NEED THE REST DONE!!!
jarptica [38.1K]

Answer:

Part 2

The rate of change is 1 in increase in forearm length per 1 inch increase in foot length

Part 3

1) Foot length = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The data  presented here has a greater rate of change

5) Different data sources

6) Yes

7) Yes

Step-by-step explanation:

Part 2

The data are as follows

Forearm             Foot

9.25                    8.5

10.25                   9.5

9.75                     9

10.75                    10

8.75                       8

To find the rate of change, we have;

For points

(x₁, y₁) = (9.25, 8.5) and (x₂, y₂) = (8.75, 8) we have;

Rate of change = (y₂ - y₁)/(x₂ - x₁) substituting the values we arrive at

(8.75 - 9.25)/(8 - 8.5) = 1

The rate of increase of foot to forearm is 1 to 1. That is there is an increase of 1 in in forearm length for every inch increase in foot length

The rate of change is 1 in increase in forearm length per 1 inch increse in foot length

Part 3

1) For a person with length of forearm, x = 17 inches long, we have;

Length of foot, y = 0.860·x + 3.302

Plugging in the values, we have;

y = 0.860×17 + 3.302 = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The rate of change from part A = 0.860, Therefore, the data  presented here has a greater rate of change

5) The values are different because of they are derived from a non corresponding sources

6) Yes the relation is a function because the length of the foot is a function of the length of the forearm

From the equation of a straight line, we have;

y = mx + c

Where:

m = Slope = 1

Therefore; for forearm, y = 9.25, we have

9.25 = 1×8.5 + c

∴ c = 9.5 - 8.5 = 1

The equation of the function becomes;

y = x + 1

7) for the equation in part A given by

y = 0.860·x + 3.302

Yes the equation in part A can represent a function because it maps each value of x to a unique value of y

4 0
3 years ago
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Hello !

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Given f(x) = 3 and g(x) = 5x + 7, find (f + g)(-8).
levacccp [35]

Answer:

-30

Step-by-step explanation:

f(x) = 3 so f(-8) = 3;

g(x) = 5x + 7, so g(-8) = 5(-8) + 7 = -33

Then (f + g)(-8) = 3 - 33 = -30

This is the sum of two functions both evaluated at x = -8.

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Find the length of BC. <br> A.) 14<br> B.) 9<br> C.) 2<br> D.) 3
Vera_Pavlovna [14]

Answer:

A) 14

Step-by-step explanation:

BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.

3y+5=5y-1

subtract 3y from both sides --> 5=2y-1

add 1 to both sides --> 6=2y

now get y alone, divide by 2 by both side --> y=3

plug y in back to 5y-1 --> 5x3-1

15-1

BC = 14

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3 years ago
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