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3 years ago

Which interval for the graphed function contains the local maximum?

Mathematics

2 answers:

Nonamiya [84]3 years ago

6 0

Answer:

[0,2]

Step-by-step explanation:

local maximum is a maximum within some region of x values

Daniel [21]3 years ago

5 0

Answer: [0,2]

Step-by-step explanation:

definition of local maximum says that the value of function at some point is greater than the value of the function at its neighbourhood(i.e. on left side and right side of that point)

1.55 is the point of local maximum according to the definition

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Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

3 years ago

What is an equation for a circle with a center at (-2,3) and a radius of 3

neonofarm [45]

Answer:

(x+2)² + (y–3)² = 3²

Step-by-step explanation:

just use the standard formula

3 0

3 years ago

What is the slope and y-intercept of this equation? y=2-9x m= b=

Juli2301 [7.4K]

Answer:

Slope (m) is the number being multiplied by x (make sure you include the sign in front of it).

y- intercept (b) is the number other than the x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Need help with math.

nikdorinn [45]

4 / (1/4 - 5/2)

4 / (1/4 -10/4)

4 / (-9/4)

4 x (-4/9) = -16/9

8 0

3 years ago

The normal body temperature of a camel is 37 degrees Celsius the temperature varies by up to three degrees C throughout the day.

natta225 [31]

The normal body temperature : to = 37° C
An inequality is:
| t - to | ≤ 3
| t - 37 | ≤ 3
t - 37 ≤ 3     AND ( - t - 37 ) ≤ 3
t ≤ 3 + 37               - t + 37 ≤ 3
t ≤ 40                     - t ≤ 3 - 37
                              - t ≤ - 34   / * ( - 1 )
                                t ≥ 34
Answer t ∈ [ 34°C, 40° C ].

4 0

3 years ago