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leva [86]
3 years ago
6

Pls help or I will fail

Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer: A

Step-by-step explanation:

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HELP ASAP!!! 40 POINTS
ICE Princess25 [194]

Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:

(-15,-10).

<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>

It is given by the derivative at x = x0, that is:

m = f^{\prime}(x_0).

In this problem, the function is:

f(x) = 0.2x^2 + 5x - 12

Hence the derivative is:

f^{\prime}(x) = 0.4x + 5

For a slope of -1, we have that:

0.4x + 5 = -1

0.4x = -6

x = -15.

For a slope of 1, we have that:

0.4x + 5 = 1.

0.4x = -4

x = -10

Hence the interval is:

(-15,-10).

More can be learned about derivatives and tangent lines at brainly.com/question/8174665

#SPJ1

8 0
2 years ago
Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.
Korolek [52]

Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

2.251\text{ cm}\approx 2.3\text{ cm}

2.349\text{ cm}\approx 2.3\text{ cm}

2.352\text{ cm}\approx 2.4\text{ cm}

2.295\text{ cm}\approx 2.3\text{ cm}

Therefore, the correct choices are 2.251 cm , 2.349 cm  and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}

2.3\text{ cm}=0.023\text{ meters}

Therefore, the rounded measurement of rain would be 0.023 meters.

8 0
4 years ago
Morgan knows that 3 gallons of water weigh 25 pounds.<br> How much do 10 gallons of water weigh?
olga_2 [115]
The full answer would be 83.454 but you can just say 83 pounds. Both are right
8 0
3 years ago
What is 3x+4= -15? How would you get a negative number?
bulgar [2K]

Answer:

x=-\frac{19}{3}

Step-by-step explanation:

3x+4=-15

3x+4-4=-15-4

3x=-19

\frac{3x}{3}=\frac{-19}{3}

x=-\frac{19}{3}

5 0
4 years ago
Find how many centimeters are in 4.5 inches, you should
Inessa05 [86]

Answer:

4.5in=11.43cm

Step-by-step explanation:

4.5*2.54=11.43

3 0
3 years ago
Read 2 more answers
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