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3 years ago

9

The graph of f(x) is shown below has the same shape as the graph of g(x)= x^4 but is shifted 3 units to the left. What is the eq

uation

2 answers:

Dennis_Churaev [7]3 years ago

7 0

Answer: A. F(x)=(x+3)^4

Step-by-step explanation:

Anuta_ua [19.1K]3 years ago

3 0

A. Any horizontal transformations or reflections you make to y = x^4 must be contained within the parentheses.

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30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

3 0

3 years ago

QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving

GarryVolchara [31]

Answer:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

$X \sim Unif (a=284.7, b=310.6)$

And for this case the probability density function is given by:

$f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6$

And the cumulative distribution function is given by:

$F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6$

And we want to find this probability:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

6 0

3 years ago

How do you graph an explict equation

morpeh [17]

I think this might help but sorry if it does not but I hope it does :) :D - https://learnzillion.com/lesson_plans/5701-writing-an-explicit-formula-for-the-graph-of-an-exponential-relationship/

5 0

3 years ago

1. What is the hypothesis for this conditional statement? If a number is even then it is divisible by 2.

liubo4ka [24]

Answer:

If a number is even is the conditional statement.

Step-by-step explanation:

The phrase that starts with "if" is the hypothesis for conditional statement. The phrase that starts with "then" is conclusion for the statement.

Here, the statement is "If a number is even then it is divisible by 2".

Hypothesis = If a number is even

Conclusion = It is divisible by 2

6 0

3 years ago

Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month

mel-nik [20]

Answer:$4,650.00

Step-by-step explanation:35,000x10%=3,500

3,500+1,150=4,650

5 0

3 years ago