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bezimeni [28]
3 years ago
11

What is the range of the function f(x) = 3x2 + 6x – 9

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
I have a solution here however with a slight change in the equation:

<span> f(x)=3x^2-6x+1

My solution is:

</span>The domain is all real numbers--there are no restrictions like a square root or variable in the denominator 
<span>
this is a U shape parabola and you want to find the bottom point, it is at the vertex </span>
<span>x=-b/2a =- (-6) /2 (3) =1 </span>
<span>f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 </span>
<span>the minimum is (1, -2) </span>
<span>so the range is all real numbers >= -2
</span>
By examining my solution, you could just answer the problem on your own! I hope it helps!
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on a straight highway, the distance from loretta’s house to a park is 43 miles. her friend jamal lives along this same highway b
garik1379 [7]

The distance of Jamal's house to the park is 12 miles.

<h3>How to find the number in miles from Jamal's house to the park?</h3>

The distance from Loretta's house to a park is 43 miles.

Her friend Jamal lives along this same highway between Loretta's house and the park.

The distance from Loretta's house to Jamal's house is 31 miles.

The situations forms a straight line segment.

Therefore,

Loretta's house distance to the park = 43 miles

Lorretta's house distance to Jamal's house = 31 miles

Therefore,

distance of Jamal's' house to the park =  43 - 31

distance of Jamal's' house to the park = 12 miles

learn more on distance in miles here: brainly.com/question/13835201

#SPJ1

8 0
2 years ago
Whats a common facter of 32 and 36
KengaRu [80]
Common Factors of 32 and 36 
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4
4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B-5%7D%7B2%7D%20%7D" id="TexFormula1" title="4^{\frac{-5}{2} }" alt="4^{\frac{
photoshop1234 [79]

Answer:

Given expression is equal to  1/32

Step-by-step explanation:

Given that:

= 4^(-5/2)

To eliminate "-" sign we will invert the fraction as follows:

= (1/4)^ 5/2

Or it can be written as:

= =\sqrt{(1/4)^5} \\=\sqrt{1/1024} \\=1/32

This is the simplified expression.

i hope it will help you!

8 0
3 years ago
Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= x-10\ m

⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

Hence, the height of kite above the tree is 104.127 meters.

3 0
3 years ago
A carpenter is making a circular tabletop with a circumference of 4.5 yards.
nikitadnepr [17]
The radius of the table top is 206 when rounded to the nearest centimeters
5 0
2 years ago
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