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Luden [163]
3 years ago
15

Write the following expression with as few symbols as possible, using the notational conventions:

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

The simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

Step-by-step explanation:

The expressions provided are:

(i)\ x+((y\times (z')) +t)\\\\(ii)\ x\times((x+(y'))+z)

(i)

Simplify the first expression with as few symbols as possible:

x+((y\times (z')) +t)=x+(yz'+t)

                              =x+yz'+t

(ii)

Simplify the second expression with as few symbols as possible:

x\times((x+(y'))+z)=x\times ((x+y')+z)

                              =x (x+y'+z)

Thus, the simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

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3 years ago
The graph of g(x) is a reflection and translation of ∛x see attachment, please help
svetoff [14.1K]
<h2>Hello!</h2>

The answer is: g(x)=-\sqrt[3]{x-1}

<h2>Why?</h2>

Let's check the roots and the shown point in the graphic (2,-1)

First,

0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1

then,

g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1

So,  we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

(g(x)=-\sqrt[3]{x-1})

Second,

Evaluating the function at (2,-1)

y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is g(x)=-\sqrt[3]{x-1}

Have a nice day!

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washington high school's head tennis coach, ms. racket, runs a tennis camp for middle school students every summer. the students
Kaylis [27]

Your question was incomplete. Please refer the content below:

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

The constant of proportionality is 3 as for 1 student she buys 3 snacks.

The constant of proportionality means the ratio between the terms x and y.

It is calculated by dividing y by x.

Here we get that:

X      Y           constant of proportionality(Y/X)

10     30                               3

13     39                               3

14     42                               3

21     63                               3

Therefore, we get the constant of proportionality as 3.

Learn more about constant of proportionality here:

brainly.com/question/1835116

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