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3 years ago

Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?

Mathematics

2 answers:

BARSIC [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Trust me it is correct. Once you graph it all out it'll make sense

Murrr4er [49]3 years ago

3 0

Hmm,
the absolute value makes whaterver inside positive
so

find whre the abslte value is 0
1.6x-2=0
1.6x=2
x=2/1.6
x=1.25

as x approaches 1.25, the function decreases

so from left to right
from the left to right, from -ifninty to 1.25, it is decreasing
from 1.25 to infinity, it is increasing

so it is increasing in the interval (1.25,∞)

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Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh

vazorg [7]

Answer:

$\frac{6}{20} \ mile\ per\ hour$

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here<u> time taken is given</u> and the <u>distance traveled is also given </u>and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = $\frac{1}{2} \ hour$

Distance which can be traveled by turtle = $\frac{3}{20} \ miles$

$Speed =\frac{Distance}{Time}$

$=\frac{3}{20} \div\frac{1}{2} \\\\ =\frac{3}{20} \times\frac{2}{1} \\ \\ =\frac{6}{20}$

Therefore, the rate at which the turtle is crawling is $\frac{6}{20} \ mile\ per\ hour$

4 0

3 years ago

How is the derivative of a function related to the slop of the function?

statuscvo [17]

Hi there!

The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.

For example, take the equation y = x².

Using the power rule, we get:

y' = 2x

If we plug in any x-value into this equation, we can find the slope of the function at any point.

Ex:

x = 0; 2(0) = slope of 0

x = 2; 2(2) = slope of 4

7 0

2 years ago

Help help help math math

Andreyy89

Answer:

yes

Step-by-step explanation:

x increases by 2, and y increases by 3 consistently

8 0

2 years ago

Read 2 more answers

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

8a₈ = 12a₁₂
d = -2,
a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

8(a₁ - 14) = 12(a₁ - 22)
2(a₁ - 14) = 3(a₁ - 22)
2a₁ - 28 = 3a₁ - 66
3a₁ - 2a₁ = -28 + 66
a₁ = 38

6 0

3 years ago

The first time a census was taken in Esinville, the population was 12,621. Each year after that, the population was about 6% hig

Sedbober [7]

Step-by-step
Population was 12.621 when it was measured

Next year it rose by 6%, so add that 6% to 100% and multiply with population measured

12.621 × (100%+6%) = 12.621 × 106% = 13.379,24

Since a man cant be 0,24, we count that as +1

13.379,24 = 13.379 + 1 = 13.380

That was for a year after measurement, now let's calculate for another year
Now, add those 6% to a new population number

13.380 × (100%+6%) = 13.380 × 106% = 14.182,8

since 0,8 isn't a man, instead we add again +1

14.182,8 = 14.182 + 1 = 14.183

now let's do it for another year after last, by adding those 6% to a newest population number

14.183 × (100%+6%) = 14.183 × 106% = 15.033,98

round it again to +1, since 0.98 isn't a man

15.033,98 = 15.033 + 1 = 15.034

that is it, now graph is in the picture.

8 0

2 years ago