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1 year ago

What is the maximum value for y in the following function?

Mathematics

1 answer:

Eva8 [605]1 year ago

6 0

Answer:

D. 8

Step-by-step explanation:

well, let's look at the different parts of the functional expression :

the maximum of 5 is 5, of course.

the maximum of 3 is 3.

the maximum of sin(2x) is the maximum of any sine = 1.

sin(2x) only changes the frequency of the sine wave (the max and min values appear twice as often than for sin(x)), but does not have an impact on the amplitude, which defines the max. and min. values.

sin(2x) is NOT the same as 2×sin(x).

sin(2x) still "waves" between +1 and -1.

so, the total maximum is

5 × 1 + 3 = 8

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2.5 What is the difference between relational understanding and instrumental

Afina-wow [57]

Answer:

Instrumental understanding – having a mathematical rule and being able to apply and manipulate it. Relational understanding – having a mathematical rule, knowing how to use it AND knowing why it works.

Step-by-step explanation:

Instrumental understanding involves “memorising which problems a method works for and which not, and also learning a different method for each new class of problems” (Skemp 1987, p. 159), is a desire to know “some kind of rule for getting the answer” (p. 155) so that a student can “latch on it and ignore the rest”

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1 year ago

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c

Ad libitum [116K]

Answer:

The correct options is A.

Step-by-step explanation:

The each diagonal of an irregular parallelogram divides the parallelogram in two equal and congruent parts. The diagonal bisects each other.

It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.

If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.

Therefore the correct option is A.

6 0

2 years ago

Which equation of the least squares regression line most closely matches the data set?

Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x 0 2 4 6 8

y 45 51 57 61 75

Let the equation that shows the above data,

y = b + a x ---------(1)

$\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}$

$\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}$

By the above table,

$\sum x = 20$

$\sum xy = 1296$

$\sum x^2 = 120$

$\sum y = 289$

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0

3 years ago

Read 2 more answers

Please help me please I really need help

expeople1 [14]

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

0.05 × 100/100

= (0.05 × 100) × 1/100 = 5/100

7 0

2 years ago

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Someone please help me with this

Nadusha1986 [10]

Since 2 sides of the triangle are the same, it's an isosceles triangle.
That would also mean that the two angles are the same; 70 and 70.

A triangle has 180 degrees total.

70 + 70 + x = 180
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8 0

3 years ago

Read 2 more answers