All categories

3 years ago

What is a zero of the function f(x) = 5x-20

Mathematics

1 answer:

Svetlanka [38]3 years ago

7 0

That is where the function equals 0
0=5x-20
add 20 both sides
20=5x
divide 5
4=x

the zero is at x=4
(4,0)

You might be interested in

Between which two consecutive integers does ???147 lie?

BartSMP [9]

If those question marks are supposed to be a radical, then 12 and 13. The square root of 147= 12.12, which puts it between 12 and 13.

3 0

3 years ago

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

8 0

3 years ago

Read 2 more answers

Pleaseee help me with this only 3 questions!!!!

ElenaW [278]

Answer:

2. quadrant 4

3. quadrant 2

4. quadrant 3

Step-by-step explanation:

You can refer to the picture.

2. Since $tan\theta$ less than 0 which means $tan\theta$ is negative, $sin\theta$ less than 0 which means $sin\theta$ is negative.

So, the angle lies in quadrant 4 (Cos quadrant)

3. Since $tan\theta$ less than 0 which means $tan\theta$ is negative, $cos\theta$ less than 0 which means $cos\theta$ is negative.

So, the angle lies in quadrant 2 (Sin quadrant)

4. Since $tan\theta$ more than 0 which means $tan\theta$ is positive, $sin\theta$ less than 0 which means $sin\theta$ is negative.

So, the angle lies in quadrant 3 (tan quadrant)

5 0

3 years ago

How many batches of trail mix can Eric make with 16 cups of peanuts, 15 cups of raisins, and 8 cups of walnuts?

vazorg [7]

Answer:27

Step-by-step explanation:

Are you in middle school

5 0

3 years ago

If $600 is shared in the ratio 3:5:4, the difference between the largest and the smallest share is ?

mariarad [96]

Answer:

Step-by-step explanation:

The equation for this is 3x + 5x + 4x = 600 where x is the same amount of money multiplied by the scalar value to ensure the money is divided in that ratio exactly. That gives us 12x = 600.

x = 50.

The largest value is 5(50) = 250 and

the smallest value is 3(50) = 150.

The difference between these is $100.

6 0

3 years ago