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4 years ago

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if alex got a higher grade than Ethan, and Harrison got a lower grade than Ethan, than Harrison got a lower grade than Alex. Tru

e or False? Give a single counterexample if false and 2 examples if true

1 answer:

kirza4 [7]4 years ago

4 0

Answer:

This is true!

Step-by-step explanation:

Alex got the highest grade of the three boys. Ethan got the middle grade, and Harrison got the lowest.

Let's say that they each got a grade out of 100. These are the boys, in order, by their grade:

Alex - 100%

Ethan - 50%

Harrison - 0%

Now you see that if you take out Ethan, Alex still has a higher grade than Harrison.

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The function f(x) = x] is graphed over the interval [-6, 3]. Which translation of the graph has the domain (-3, 6]? 0 A. g(x) =

bezimeni [28]

An interval graph in graphical theory is indeed an undirected graph formed by an interval set just on true line, with a top for every interval as well as an edge between vertex v to intersections. Graph intervals and these graphs are chordal graphs and graphs that are perfect, and the further discussion can be defined as follows:

Given:

$\bold{function\ f(x) = |x|}$

$\bold{Interval \ \[-6, 3\]}$

To find:

Domain=?

Solution:

The $\bold{function\ f(x) = |x|}$ is a graphic over the $[-6,3]$ interval.

A<em><u> graph of the domain</u></em> $[-3,6 ]$ is indicated mostly by the <em><u>transformation </u></em>that <em><u>horizontal shifts</u></em> to combat $(h(x)=f(x-3))$ .

$\to \bold{h(x) =f(x-3)}$

=|x-3|

Therefore, the final answer is "Option (D)".

Please find the complete question and a rule in the attachment file.

Learn more:

brainly.com/question/24161708

8 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

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3 years ago

Meaning of transmission<br><br>last napo

PtichkaEL [24]

Answer:

the action or process of transmitting something, or the state of being transmitted.

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3 years ago

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Please help ASAP!!!!!!

tia_tia [17]

Answer:

b and c

Step-by-step explanation:

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3 years ago

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A contractors crew can frame 3 houses in a week. How long will it take them to frame 54 houses if they frame the same number eac

Gemiola [76]

54 divide by 3 then you get 18weeks

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3 years ago