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Lyrx [107]
2 years ago
13

Which statement is true of the function f(x) = -3 squared root x

Mathematics
1 answer:
grigory [225]2 years ago
6 0

Using translation concepts, it is found that the function f(x) = -3\sqrt{x} is the function g(x) = \sqrt{x} reflected over the x-axis and vertically stretched by a factor of 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, from g(x) = \sqrt{3} to f(x) = -3\sqrt{x}, g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.

More can be learned about translation concepts at brainly.com/question/27948675

#SPJ1

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Find the vertical asymptote(s) of f of x equals quantity 5 x squared plus 3x plus 6 end quantity over quantity x squared minus 1
natka813 [3]

Answer:

x = 10 and x = -10

Step-by-step explanation:

Given the function

f(x)=\dfrac{5x^2+3x+6}{x^2-100}

This function is undefied when the denominator equals to 0. Find these values for x:

x^2-100=0\\ \\(x-10)(x+10)=0\\ \\x-10=0\ \ \text{or}\ \ x+10=0\\ \\x=10\ \ \text{or}\ \ x=-10

This means that vertical lines x = 10 and x = -10 are vertical asymptotes (the graph of the function f(x) cannot meet these lines because this function is undefined at x = 10 and x = -10)

7 0
3 years ago
The length of a rectangle is 6 m more than twice the width. if the area of the rectangle is 140m^2, find the dimensions
Yuliya22 [10]
Length(l)= 2w+6
Width(w)= w
Area(A)= 140 m²
Area= l*w
140 = l*w
140= (2w+6)w
140= 2w²+6w( divide each side by 2)
70= w²+3w
w²+3w -70= 0
(^^^^^^Factor out expression)
(w-7)(w+10)= 0 (set each expression equal to zero and use the positive answer as the value for "w"(because a negative width is impossible))

w-7=0
w=7m

w+10=0
w= -10m (Impossible for a physical measurement to negative: therefore This "w" value is incorrect)

Use w=7 to find "l"
l= 2w+6
l=2(7)+6
l=14+6
l=20 m

Answer:
The dimensions of a rectangle are length and by width. For this rectangle the dimensions are 20 meters by 7 meters.
(width= 7 meters)
(length= 20 meters)


4 0
3 years ago
I need help! ASAP<br><br> ( 6th grade tape charts! )
ruslelena [56]
There is nothing attached
7 0
3 years ago
Read 2 more answers
Which of the following are solutions to the equation below?
Reptile [31]

Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

x(x - 1) +2(x-1) = 0

(x+2)(x-1) = 0

Solve for x

x +2 = 0   OR     x - 1 = 0        

x = -2       OR     x = 1

Answer will be Option B and D

Hope this helped and have a good day

7 0
1 year ago
Read 2 more answers
Which equation is true when m = 4?
Luba_88 [7]
The correct answer is A and B because if you replace the m's with 4 than you do get the answer at the end of the equation.  Hope this helps.
4 0
3 years ago
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