All categories

3 years ago

Which equation represents a linear function

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

Step-by-step explanation:

To verify that which equation represents a linear function:

Given y=-3x+10

Linear functions are functions whose graph is a straight line. A linear function can be written as y=f(x)=a+bx where x is the independent variable and y is the dependent variable.It has only one independent and dependent variables.

It can be written as y=10-3x

Given equation is also in the form of linear function where a=10 and b=-3

Therefore Option B) y=-3x+10 is correct

The equation y=-3x+10 represnts a linear function.

You might be interested in

What property is shown by the equation? Column A Column B 1. 0 ÷ (–6) = 0 2. (–1) • (–9) = 9 3. 1 • (–18) = –18 4. A. Reciprocal

Ivanshal [37]

I think it's E. The negative one property of multiplication. Each function is basically showing that multiplying/dividing two pluses makes a plus and multiplying/dividing one plus and one minus makes a minus etc!

5 0

2 years ago

A company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8in.2 Approximately what is the

MakcuM [25]

Answer:

Approximately the volume of cone-shaped container is 393 in³.

Step-by-step explanation:

Given:

A company makes a cone-shaped container with a height of 15 in.

The area of its base is about 78.8 in².

Now, to get the cone-shaped container volume.

So, we find the radius first by using formula:

Let the radius be $r.$

(Using the value π = 3.14)

$A_{B}=78.8\ in^2.$

$A_{B}=\pi r^2$

$78.8=3.14\times r^2$

Dividing both sides by 3.14 we get:

$25.09=r^2$

Using square root on both sides we get:

$5.00=r$

$r=5\ in.$

Thus, the radius ( $r$ ) = 5 in.

The height ( $h$ ) = 15 in.

Now, to get the volume of the cone-shaped container we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 5^2\times \frac{15}{3} \\\\Volume=3.14\times 25\times 5\\\\Volume=392.50\ in^3.$

Therefore, approximately the volume of the cone-shaped container is 393 in³.

7 0

2 years ago

The difference of a number multiplied by 2 tens and 3 sevens is 119. What is the number?

Elan Coil [88]

Your question is not clearly stated. Do you mean the difference between 10 * 10 * x, and 7 * 7 * 7 *x ? Then the number is x = 119/243. That's about 0.48971... in decimal form.

It's confusing when you say the "difference of a number". Differences are BETWEEN two numbers. See what I mean?

4 0

2 years ago

IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?

Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$