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xxMikexx [17]
4 years ago
8

For the parent function y equals the square root of x what effect does a value of b = -2 have on the graph?

Mathematics
1 answer:
Phoenix [80]4 years ago
3 0
The parent function has the equation
y = ∛x
and it's family of equations with different shifting is
y - k = ∛ (x - b)
if we have b = -2
Then the function would shift to the positive x direction since the function would be
y - k = ∛ (x + 2)

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At another sanctuary, the number of nesting turtles decreased by 10%. This year there were 234 nesting turtles. How many nesting
Alex

Answer:

260 nesting turtles were at this sanctuary last year

Step-by-step explanation:

Given:

The number of nesting turtles decreased = 10%

Number of turtles  present in sanctuary this year = 234

To Find:

Number of nesting turtles present at this sanctuary last year= ?

Solution:

Let the number of nesting turtles present at this sanctuary last year be x

Then,

x- 10% of x = Number of turtles  present in sanctuary this year

x- 10% of x = 234

x- (\frac{10}{100} \times x) = 234

x- (\frac{1}{10} \times x) = 234

x- (\frac{x}{10}) = 234

\frac{10x-x}{10}=234

\frac{9x}{10}=234

9x=234\times 10

9x=2340

x=\frac{2340}{9}

x= 260

7 0
3 years ago
What is the average rate of change over the interval 1≤x≤3
Monica [59]

9514 1404 393

Answer:

  3

Step-by-step explanation:

The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-2))/(3 -1) = 6/2

  m = 3

The average rate of change on the interval is 3.

5 0
3 years ago
I’ll give brainliest!!
nignag [31]

Answer:

If A is wrong then B I think

Step-by-step explanation:

3 0
3 years ago
Which polynomial is a perfect square trinomial? (4 points) 9x2 − 12x + 4 36b2 − 24b + 16 16x2 − 24x − 9 4a2 − 10a − 25
loris [4]
I believe it's 9x2-12x+4 but I'm not quite sure cause we haven't yet gone over this in class.

My friend also believes it is this (she's in a higher level math grade than me). I'm so sorry this isn't more helpful.

5 0
3 years ago
Read 2 more answers
Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?
Lerok [7]

bearing in mind that "a" is the length of the traverse axis, and "c" is the distance from the center to either foci.

we know the center is at (0,0), we know there's a vertex at (-48,0), from the origin to -48, that's 48 units flat, meaning, the hyperbola is a horizontal one running over the x-axis whose a = 48.

we also know there's a focus point at (50,0), that's 50 units from the center, namely c = 50.


\bf \textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ \textit{asymptotes}\quad y= k\pm \cfrac{b}{a}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}


\bf \begin{cases} h=0\\ k=0\\ a=48\\ c=50 \end{cases}\implies \cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{b^2}=1 \\\\\\ c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b\implies \sqrt{50^2-48^2}=b \\\\\\ \sqrt{196}=b\implies 14=b~\hspace{3.5em}\cfrac{(x-0)^2}{48^2}-\cfrac{(y-0)^2}{14^2}=1\implies \cfrac{x^2}{48^2}-\cfrac{y^2}{14^2}=1

8 0
3 years ago
Read 2 more answers
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