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docker41 [41]
3 years ago
5

HELP ME FOR NUMBER 7 THROUGH 10

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Si bo^se ko ne to ne co ne sa si

huma cona heto sho

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Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
ololo11 [35]

Answer:

The minimum value of f(x) is -21 and it occurs at x = 1

Step-by-step explanation:

f(x) =3x^2-6x-18

Factor out the greatest common factor out of the first two terms

f(x) =3(x^2-2x)-18

Complete the square

-2x/2 =-1  (-1)^2 = 1

Add 1  (But remember the 3 out front so we are really adding 3  so we need to subtract 3 to remain balanced)

f(x) = 3(x^2 -2x+1) -3 -18

f(x) = 3(x-1)^2 -21

This is vertex form

f(x) = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

The vertex is (1,-21)  

Since a > 0 this opens upward and the vertex is a minimum

The minimum value of f(x) is -21 and it occurs at x = 1

6 0
2 years ago
2 The Skoblickis are building a new home. The scale
yanalaym [24]

The actual width of the room is 20 ft and the actual length of the room is 15 ft

Since on the scale, 2 in : 5 ft and the width of the room on the drawing is 8 in.

Let the actual width of the room is w.

The ratio of the drawing to actual width is   8 in : w

So, 2 in : 5 ft = 8 in : w

2 in/5 ft = 8 in/w

So, w = 8 in × 5 ft/2 in

w = 4 × 5 ft

w = 20 ft

Also, the length of the room on the drawing on the drawing is 6 in.

Let the actual length of the room is L.

The ratio of the drawing to actual length is   6 in : L

So, 2 in : 5 ft = 6 in : L

2 in/5 ft = 6 in/L

So, L = 6 in × 5 ft/2 in

L = 3 × 5 ft

L = 15 ft

So, the actual width of the room is 20 ft and the actual length of the room is 15 ft.

Learn more about scale drawing here:

brainly.com/question/25324744

4 0
2 years ago
PLEASE HELP ME I AM TAKING A TEST AND I NEED HELP!!!
zhannawk [14.2K]
Part A.
y=4x+3

Part B.
11=4x+3
8=4x
2=x
2 dollars

Part C.
4(3)+4(2)=12+8=20

It would be enough if there is no sales tax.

Hope this helps!
Your fortune is "Only one fortune a day!"
3 0
2 years ago
Can someone help me please?
Alina [70]

Looking at the graph, trace your finger up from 10 on the x-axis. You will end up somewhere around 17.

Therefore, the approximate height of the tree after 10 years will be 17 feet.


5 0
2 years ago
Read 2 more answers
In the slope-intercept form, which variable<br> represents the slope/measure of change?
grigory [225]
Slope= Mx in y=Mx+b jrbdhendj
5 0
3 years ago
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