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3 years ago

Determine whether the equation defines y as a function of x. (see example 9.) 5x + 4y = 20

1 answer:

7 0

Strictly speaking, the equation does NOT define y as a function of x. It defines a relationship that x and y must satisfy. It can be solved for y so that it does define y as a function of x:

... y = (20 -5x)/4

However, if we take as a working definition of a function the notion that it is <em>an equation that yields exactly one value of y for each value of x put into it</em>, then we probably have to say the equation DOES define y as a function of x.

Your choice of answers likely depends on what you see in <em>Example 9</em>.

You might be interested in

Researchers want to survey the mass of American alligators in a certain region. They want to maximize the efficiency of this eff

Sonja [21]

An appropriate statistical test that can be used to evaluate the usefulness of this method is Linear regression with t-test for significance of slope.

For this research, they want to measure the lengths of alligators and use the already obtained data relating the lengths of captured and released alligators to their masses, to obtain the masses of alligators whose lengths have been measured.

So, in this research survey, the masses of the alligators is the dependent variable which depends on the lengths.

Basically, the researchers measure the length of an alligator and use the data to work out its mass.

So, an appropriate method to relate the two variables is to use regression analysis on the already obtained data, to obtain the linear relationship between mass of the alligators and their lengths. So that, just by putting on the measured lengths of the alligators surveyed into this expression, their corresponding masses would be immediately obtained.

But the correctness of this expression obtained will be checked by using t-test for the significance of the slope obtained in the linear regression.

So, the appropriate statistical test that can be used to evaluate the usefulness of this method is: Linear regression with t-test for significance of slope.

To learn more about Linear regression from the given link

brainly.com/question/16164513

#SPJ4

3 0

2 years ago

How do you solve for b and c?

dangina [55]

C:
6*2 = 2.5c
c = 4.8

b:
Cannot be solved until the measure of one other angle in the X is added.

6 0

4 years ago

A rectangle has an area of 76 square centimeters and a length of 19 centimeters.

disa [49]

Answer:

4 centimeters

Step-by-step explanation:

width = area/length

width = 76/19 = 4 centimeters

6 0

3 years ago

A snack bar sells two types of gronala bars. An apricot bar costs $0.80, and a cranberry bar costs $1.25. write an algebraic exp

Sonja [21]

Answer:

Total Cost (T)= .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

6 0

3 years ago

Solve the following subtraction problems. a. 8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft. b. 2 yd. 2 ft. 6 in. – 1 ft. 11 in. c. 6

aksik [14]

Let's keep in mind the conversion factors between mile, yard, feet and inches:

1 mile = 1760 yards

1 yard = 3 feets

1 feet = 12 inches

a) 3 mi. 26 yd.

We have:

8 mi. 133 yd. 2 ft. –

5 mi. 107 yd. 2 ft =

Here, we can simply do the substraction of each term, and we get:

(8-5) mi (133-107) yd (2-2) ft =

3 mi. 26 yd 0 ft =

3 mi. 26 yd.

b) 2 yd. 7 in.

We have:

2 yd. 2 ft. 6 in. –

0 yd. 1 ft. 11 in.

Here, we need to convert 1 feet into 12 inches and add them to the inches in the first term as follows:

2 yd. 2 ft. 6 in. = 2 yd. 1 ft. (6+12) in. = 2 yd. 1 ft. 18 in.

So now the subtraction becomes:

2 yd. 1 ft. 18 in. –

0 yd. 1 ft. 11 in.

and now we can simply do the substraction of each term, and we get:

(2-0) yd. (1-1) ft. (18-11) in. =

2 yd. 0 ft. 7 in. =

2 yd. 7 in.

c) 5 yd. 5 in.

We have:

6 yd. 0 ft. 0 in. –

0 yd. 2 ft. 7 in.

We have to "move" 1 yard into feets and inches in the first term, as follows:

6 yd. 0 ft. 0 in. = 5 yd. 3 ft. 0 in. = 5 yd. 2 ft. 12 in.

And now the subtraction becomes:

5 yd. 2 ft. 12 in. -

0 yd. 2 ft. 7 in. =

5 yd. 0 ft. 5 in. =

5 yd. 5 in.

d) 8 in.

We have:

8 yd. 0 ft. 4 in. –

7 yd. 2 ft. 8 in.

Again, let's convert the first term, moving yards into feets and inches:

8 yd. 0 ft. 4 in. = 7 yd. 3 ft. 4 in. = 7 yd. 2 ft. (4+12) in. = 7 yd. 2 ft. 16 in.

So now the subtraction is:

7 yd. 2 ft. 16 in. -

7 yd. 2 ft. 8 in. =

0 yd. 0 ft. 8 in. =

8 in.

3 0

4 years ago