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3 years ago

1. A function has a second rate of change of -4. Does the function have a maximum or a minimum?

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

This function would have a maximum.

Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.

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PLEASE HELP ME! A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y = -10x + 3000.

tatuchka [14]

A) Plot a point at (0, 3000), then subtract 10 for every second that passes by.
B) The slope is negative because the skydiver is falling and the graph is plotting his descent, his x intercept is at (300, 0) which means he will touch land after 300 seconds
To find the the x intercept, make y equal 0 so 0=-10x+3000, subtract by 3000 on each side, and you end up with -3000=-10x, you then divide both sides by -10 and you end up 300=x or x=300

4 0

3 years ago

Read 2 more answers

The mass of a penny was measured six times. The following data was reported:

Scrat [10]

Answer:

a) 8.103 g

b) 9.2948

c) 0

Step-by-step explanation:

Given:

Data reported:

9.314 g, 9.215 g, 9.323 g, 8.103 g, 9.278 g, and 9.344 g

Now,

All the values except the 8.103 are above 9

Here the data 8.103 varies very much with respect to the other values

Hence,

a) the data 8.103 should be excluded

b) average value of the mass of the penny = $\frac{9.314 + 9.215 + 9.323 + 9.278 + 9.344 }{5}$

= 9.2948 g

c) Deviation = Mean - Data

9.2948 - 9.314 = -0.0192

9.2948 - 9.215 = 0.0798

9.2948 - 9.323 = -0.0282

9.2948 - 9.278 = 0.0168

9.2948 - 9.344 = -0.0492

Thus,

Average deviation from mean = tex]\frac{-0.0192 + 0.0798 -0.0282 + 0.0168 -0.0492 }{5}[/tex]

= 0

4 0

4 years ago

On average 83.1% of welds performed by a particular welder are defective. if, in one day, the welder creates three welds. what i

Nuetrik [128]

Let p be 0.831 denote the percentage of defective welds and q be 0.169 denote the percentage of non-defective welds.

Using the binomial distribution, we want all three to be defective.
$P(X = 3) = \binom{3}{3}(p)^{3}{q}^{3 - 3}$
$P(X = 3) = \binom{3}{3}(0.831)^{3}(1)$
$P(X = 3) = (0.831)^{3} \approx 0.573856191$

4 0

3 years ago

Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).

ANEK [815]

Work:
21x-7y=12
-7y=12-21x
y= -12/7+3x

Point: (1,-3)

y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7

The equation is y= -12/7x- 9/7

7 0

3 years ago

The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack t

denis-greek [22]

Answer:

$6\ lb = 2.724\ kg$