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Fed [463]
3 years ago
6

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Mathematics
2 answers:
Doss [256]3 years ago
8 0
A is the correct answer i believe
Mashcka [7]3 years ago
7 0

Answer : A)  f(x) = (x-1)^2 - 7

Standard form of equation is f(x) = x^2 - 2x - 6

The vertex form of equation is y= (x-h)^2 + k

where (h,k) is the vertex

To find x coordinate of vertex we use formula h =\frac{-b}{2a}

f(x) = x^2 - 2x - 6, a=1, b=-2 and c=-6

Plug in the values

h =\frac{-b}{2a}=\frac{-(-2)}{2*1}= 1

Now plug in x=1 in the equation

k =f(x) = 1^2 - 2(1) - 6 = 1-2-6= -7

h= 1  and k=-7

The vertex form of equation is y= (x-h)^2 + k

Plug in the values h=1 and k=-7

f(x)= (x-1)^2 - 7

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Ryan planted 125 trees on my tree farm 28% of rum or maple trees and the rest of them are pine trees. Kioshi helped plant 125 tr
VashaNatasha [74]

Answer:

Ryan planted more maple trees than Kioshi.

Step-by-step explanation:

Given:

Total number of tress planted by Ryan = 125

Percent of maples tree planted by Ryan = 28%

Total number of tress planted by Kioshi = 125

We need to find who planted more maple trees.

Solution:

First we will find the number of maple tree planted by Ryan.

So we can say that;

the number of maple tree planted by Ryan is equal to Percent of maples tree planted by Ryan multiplied by Total number of tress planted by Ryan and then divided by 100.

framing in equation form we get;

the number of maple tree planted by Ryan = \frac{28}{100}\times 125 = 35

Hence Ryan planted 35 maple trees on the tree farm.

Now we will find number of maple tree planted by Kioshi.

But Given:

or every maple trees there are four pine trees

Let the number of maple tree planted by Kioshi be 'x'.

Number of pine trees = 4x

Now we know that;

Total number of tress planted by Kioshi is equal to sum of Number of pine trees and number of maple tree.

framing in equation form we get;

x+4x=125\\\\5x=125

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{125}{5}\\\\x=25

Hence Kioshi planted 25 maple trees in the park.

So we can say that.

Ryan planted more maple trees than Kioshi.

7 0
3 years ago
Please help!!!!! it's a word problem and I don't understand how to do it at all
andre [41]
7We can see that line NM = JK so NM also equals 10.
We know NL = 23 and NM = 10 therefore, ML = NL -NM  ML = 23 -13
ML = 10
The last thing to solve is the length of KL
KL = ML / sine 34
KL = 10 / 0.55919
KL = 17.9

Total fence length required = JK + KL + NL =
13 + 17.9 + 23
= 53.9 yards
Cost of Fencing = $3.50 * 53.9 =
<span> <span> <span> $188.65 </span> </span> </span>



8 0
3 years ago
I need help with the bottom one the absolute value one
astra-53 [7]

Absolute value is simply the non-negative version of the number regardless of its symbol

So for the absolute value of 20? the answer is just 20.

For reference, the absolute value of -20 is also just 20.

Hope the explanation helps :)

5 0
3 years ago
Read 2 more answers
What are the steps for constructing a copy of an angule only a compass and a straightedge
nlexa [21]
With one point of the compass on the vertex of the angle, draw an arc that intersects both sides of the angle. Draw an arc from each of these points of intersection so that the arcs intersect<span> in the interior of the angle. The compass needs to </span>stay open<span> the same amount throughout this step. 

                           I hoped that help..have a great day:)

</span>
4 0
3 years ago
17-3(3-4x)-8=5(x+9)-6
VashaNatasha [74]
X=59/12 or x= 4 11/12
6 0
3 years ago
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