David used the scale 1 centimeter equals 5 meters to build a model boat.

Evgen [1.6K]

It it called an equation. Equation consist of number, symbols, and a equal sign.
To solve, first do -2 times t and -2 times 8. Your equation would look like this after: -2T+(-16)=12. Then add 16 to each side. -2T=28. Next, divide by -2. T=-14 is your answer.

5 0

3 years ago

Given that f(x)=2x^3+x-3, evaluate the function f(-2). <br> A.) 11 <br> B.) -69 <br> C.) -21

prohojiy [21]

F(x)=2x³+x-3
f(-2)=2(-2)³+(-2)-3
f(-2)=2(-8)-2-3
f(-2)=-16-2-3
f(-2)=-18-3
f(-2)=-21. As a result,C is your final answer. Hope it help!

7 0

3 years ago

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Fas

Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

$f(x) = x^3$

This function is changed to the function,

$g(x) = 2f(x -3),$

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

#SPJ1

5 0

2 years ago

To estimate the number of lizards in a certain region, Sean traps 36 lizards and marks them. He releases these lizards and then

laiz [17]

Answer:

475

Step-by-step explanation:

i divided the two numbers and got 556 so your estimate should be 475

7 0

3 years ago

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What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants

Studentka2010 [4]

Answers:

Ratio of consonants to vowels = 21:5
Ratio of vowels to total letters = 5:26
Ratio of all letters to consonants = 26:21

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Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

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The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

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Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

5 0

3 years ago

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