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3 years ago

For f(x), evaluate the following: a. f(0) b. f(6)

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

The function needs to be defined first.
eg. f(x)= x+1
Then, f(1)= 1+1=2

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Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?

alexandr402 [8]

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a , f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

4 0

3 years ago

Read 2 more answers

188 ASU students, faculty and staff were randomly surveyed and asked if they have an ASU parking decal, ride their bike to campu

bulgar [2K]

Part A.
The venn diagram is attached. In the venn diagram, circle A represent the number of responds that have an ASU parking deal. Circle B represent the number of respondents that ride their bike to campus and circle C represent the number of respondents that that ride the Light Rail.

Part B.
From the venn diagram, the number of respondents that ride the Light Rail and ride their bike to campus is given by 39 – 12 = 27

Part C.
From the venn diagram, the number of respondents that only have an ASU parking decal is given by <span>77 – 12 – 8 – 6 = 51

Part D.
The number of respondents that ride the Light Rail or have an ASU decal is given by the sum of the number of respondents that ride the Light Rail only and those that have an ASU parking decal and those that have both ASU parking decal and ride their bike to school.
This is given by 51 + 8 + 28 = 87.

Part E.
The venn diagram showing the area </span><span>that represents people who have a parking decal or who ride their bike to campus but who do not ride the Light Rail</span> sgaded is attached.

8 0

3 years ago

1 point) Use Stoke's Theorem to evaluate ∫CF⋅dr∫CF⋅dr where F(x,y,z)=xi+yj+1(x2+y2)kF(x,y,z)=xi+yj+1(x2+y2)k and CC is the bound

Drupady [299]

Answer:

Step-by-step explanation:

Thinking process:

$\int\limits^a_b {cF} \, .dr$

= $\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx curlFdS$ by Stoke's Theorem

= $\int\limits^a_b {} \, \int\limits^a_b {} \, < 12y, -12x, 0 > .< z_x,-z_y, 1 > dA\\= \int\limits^a_b {} \, \int\limits^a_b {} \, < 12y, -12x, 0 > .< 2x, 2y, 1 > dA$ since z = $25-x^{2} -y^{2} \\= 0$

3 0

3 years ago

How do I find the simplest form of a square root?

lozanna [386]

Answer:

A General Note: The Product Rule for Simplifying Square Roots. If a and b are nonnegative, the square root of the product a b \displaystyle ab ab is equal to the product of the square roots of a and b.

Step-by-step explanation:

3 0

3 years ago

Which is the highest value? 1/100, 1/400,1/500

NNADVOKAT [17]

1/100, 1/400, 1/500

Because the numerators are the same, we just need to compare the denominators.

100< 400< 500
⇒ 1/100 > 1/400 > 1/500

Therefore, the highest value is 1/100.

Hope this helps.

3 0

3 years ago

Read 2 more answers