Write a set of parametric equations for y=x^2+1 given the parameter t=x-2

Answers

Answer 1

Answer: $t=x-2\ \ \ \Rightarrow\ \ \ x=t+2\n \ny=x^2+1\ \ \ \Rightarrow\ \ \ y=(t+2)^2+1=t^2+4t+5\n \n \left \{ {{x=t+2\ \ \ \ \ } \atop {y=t^2+4t+5}} \right.$

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Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2. left 3 units
right 3 units
down 3 units
up 3 units

Answers

Answer:

Shift right by 3 units.

Second option is correct.

Step-by-step explanation:

The parent function is given by $y=x^2$

The translated function is $y=(x-3)^2$

The transformation rule is:

When we subtract some constant "c" to the x values of the function f(x) then the graph will shift right by "c" units. And the transformation function would be f(x-c).

Now, here 3 is subtracted in the x value of the parent function $y=x^2$ to get the function $y=(x-3)^2$

Therefore, the graph of the transformation function would shift right by 3 units.

We can see it in the attached graph as well. The vertex of the parabola $y=x^2$ is at (0,0) and the vertex of the parabola $y=(x-3)^2$ is at (3,0).

It means that graph has shifted 3 units to the right.

Second option is correct.

Right 3 units is right out of the options given

A plant has two alleles for color. The red allele is recessive and is represented by q. The purple allele is dominant and is represented by p. If 30 of 100 organisms are red, what is q?p^2+2pq+q^2=1
A. 0.55
B. 0.30
C. 0.49
D. 0.70

Answers

The answer is A. - 0.55

Write 3 2/3 as improper fraction

Answers

The answer is 11/3. Multiply the denominator (3) by the whole number (3), add the numerator (2), then keep the denominator the same! You should end up with 11/3.

The improper fraction of $3(2)/(3)$ is ⇒ 10/3.

The given mixed fraction is

$3(2)/(3)$

We know that

Every fraction is made up of two parts: the numerator and the denominator. Proper fractions and improper fractions are the two primary forms of fractions in mathematics depending on the numerator and denominator values.

An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator

In order to convert it improper fraction proceed as follow

$3(2)/(3)$

= (3x3 + 1)/3

= (9+1)/3

= 10/3

Thus improper fraction is 10/3

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Write an expression to represent Steve's height in inches.

Answers

Final answer:

The expression to represent Steve's height in inches can be denoted as 'H'. 'H' is a variable that represents the unknown quantity, which is Steve's height in this context.

Explanation:

We will denote Steve's height in inches as H. This letter represents a variable, a letter that stands for a number we don't know yet, which, in this case, is Steve's height. In Mathematics, we commonly use letters like this to represent unknown quantities or variables. So the expression to represent Steve's height in inches is H.

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Answer:

he is as tall as a Mouse.

explanation:

we can't Write an expression to represent Steve's height inches if we don't know what his height is

So what is Steve's height?

Which measurement is not equivalent to the others?36 inches
3 feet
1/100 of a mile
1 yard

Answers

If you would like to know which measurement is not equivalent to the others, you can calculate this using the following steps:

1 yard = 3 feet
1 foot = 12 inches
1 mile = 5280 feet

3 feet = 3 * 12 inches = 36 inches

1 yard = 3 feet = 36 inches

1/100 of a mile = 1/100 * 5280 feet = 52.8 feet

Not equivalent: 1/100 of a mile.

What is the volume in cubic feet of a greenhouse that is 20 ft long, 15 ft wide, 10 ft high

Answers

To do this multiply the three numbers together. 20 times 15 is 300 and 300 times 10 is 3,000. So the volume would be 3,000 feet cubed.

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