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marishachu [46]
4 years ago
9

Is the point ​(6

Mathematics
1 answer:
VladimirAG [237]4 years ago
8 0

Answer:

YES                                                    

Step-by-step explanation:

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Given that (8,-4) is on the graph of f(x), find the corresponding point for the function f(x+3)
Margarita [4]

Answer:

the corresponding point is (5,-4)

Step-by-step explanation:

x+3=8 <=> x =8-3=5

so f(5+3)=f(8)=-4

so the corresponding point is (5,-4)

6 0
3 years ago
What is 5×=2.5<br><br>please help​
marissa [1.9K]

Answer:

x=2/5

Step-by-step explanation:

Divide:

2 divided by 5 equals 0.4, which is equivalent to 4/10, which simplifies to 2/5.

Multiply to check:

2/5 times 5 equals 2

So x=2/5

4 0
3 years ago
Complete the steps for deriving the quadratic formula using the following equation.
Andrew [12]
Having obtained:

x^2+ \frac{b}{a}x+( \frac{b}{2a} )^2+ \frac{c}{a}-( \frac{b}{2a} )^2=0

the next thing to do is collect the first three terms and write them as the square of a binomial, and also collect the last two terms, writing each of them with a denominator equal to 4a^2

We have:

(x+\frac{b}{2a} )^2+( \frac{4ac}{4a^2}-\frac{b^2}{4a^2} )=0.

Then, we take ( \frac{4ac}{4a^2}-\frac{b^2}{4a^2} ) to the right side and write these two terms as one:


(x+\frac{b}{2a} )^2=\frac{b^2-4ac}{4a^2}.


Next, we take the square root of both sides, which has been shown in the solution.


Next, we have to take b/2a to the right hand side as -(b/2a), and removing the square in the denominator of the right hand side expression:

x=-\frac{b}{2a}\pm \frac{\sqrt{b^2-4ac}}{2a}}.



Answer: the steps to complete in the boxes are :

 
(x+\frac{b}{2a} )^2+( \frac{4ac}{4a^2}-\frac{b^2}{4a^2} )=0.

(x+\frac{b}{2a} )^2=\frac{b^2-4ac}{4a^2}.

x=-\frac{b}{2a}\pm \frac{\sqrt{b^2-4ac}}{2a}}.

4 0
4 years ago
Read 2 more answers
The "mammals" data set in the "MASS" library contains the result of a study of sleep in mammal species. 1 2 Load the "mammals" d
dusya [7]

Complete Question:

The complete question is shown on the first uploaded image

Answer:

The probability that the random you randomly select species that are greater than 200 kg is  = 7/62

Step-by-step explanation:

Step One: Load the data set in to the R work space

data(mammals,package="MASS")

attach(mammals)

Step 2 : Obtain the list of the species that are greater than 200  and store it on y variable.

y <- subset(mammals,body>200)

Step Three : Obtain the total size

nrow(mammals)

Step Four : Obtain the  sum of species greater than 200

sum(body > 200)

total size = 62

size with body > 200 = 7

hence

required probability = 7/62

7 0
3 years ago
-inverse functions <br><br> Find the formula for f^-1(x):<br><br> F(x) = 3x^3 - 5
mamaluj [8]
<h2>Writing the Inverse of a Function</h2><h3>Answer:</h3>

f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\

<h3>Step-by-step explanation:</h3>

<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>

Let y = f(x) so that the inverse of y is equal to f^{-1}(x).

Solving for f^{-1}(x):

f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}

Since the inverse of y is equal to f^{-1}(x), f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\.

3 0
3 years ago
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