What is the image point of (1, -2) after a translation right 4 units and down 4 units?

What is the vertex of the equation y = -x 2 + 10x - 28?

Roman55 [17]

Answer:

(5,-3)

Step-by-step explanation:

Rewrite the equation in vertex form

y =-(x-5)^2 - 3

You take the value of -5 (that would be your x value) and change it to the opposite sign -> +5

Then you take -3 (that would be your y value) and take it as it is

therefore the answer is (5, -3)

3 0

3 years ago

Find the margin of error for a 90% confidence interval when the standard deviation is LaTeX: \sigma= 50????=50 and LaTeX: n = 25

Murrr4er [49]

Answer:

The margin of error for a 90% confidence interval is 16.4

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 25

Standard deviation = 50

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

Margin of error =

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$1.64\times \dfrac{50}{\sqrt{25}} = 16.4$

Thus, the margin of error for a 90% confidence interval is 16.4

8 0

4 years ago

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.

If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.

The function $y = \sec(x+3)-7$ comes from the base function y= sec(x).

Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.

Therefore, the transformation on the given function is shifted 3 units left and 7 units down

3 0

3 years ago

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In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they

vesna_86 [32]

VARIABLE is a symbol which is used for representation in a math.

According to the statement

we have to explain about the what is a variable.

So, VARIABLE is a symbol which is used for representation in a math.

It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.

A variable may also be called a data item.

It is used to represent a data like country name, name, age, date of birth etc.

we know that the every thing is changeable. So, like ther things variables are also changeable.

The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.

So, VARIABLE is a symbol which is used for representation in a math.

Learn more about VARIABLE here brainly.com/question/1295072

#SPJ4

8 0

2 years ago

Solve for the variable: x + 9 > -4

Marina CMI [18]

$Hi \\ \\ x+9\ \textgreater \ -4 \\ \\ x\ \textgreater \ -4-9 \\ \\ \boxed{x\ \textgreater \ -13} \\ \\ S=\{x\in~\mathbb{R} |x\ \textgreater \ -13\} \\ \\ \\$

3 0

3 years ago

Read 2 more answers