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earnstyle [38]
3 years ago
5

If Lylah completes the square for f(x) = x 2 + 24x -18 in order to find the minimum, she must write f(x) in the general form f(x

) = (x − a)^2+ b. What is the value of b for f(x)?
Explain (tell me word for word how you arrived at the answer above, include screenshots if necessary) how you found the solutions in detail.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer:

Step-by-step explanation:

F(x)=  (x − a)2 + b

Rewrite the equation as (X-a)2 + b= f(X) (X-a)2 + b= f(X)  subtract (x-a)^2 from both sides of the equation b=f(x)- (x-a)^2

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Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 15
blondinia [14]

Answer:

Number of bottles = 6

Number of cans = c

Step-by-step explanation:

Given that:

Container for selling water :

17 oz bottle

11 oz can

Let number of bottles = b

Number of cans = c

b + c = 11 - - - (1)

17b + 11c = 157 - - - (2)

b = 11 - c

Substitute into (2)

17(11 - c) + 11c = 157

187 - 17c + 11c = 157

187 - 6c = 157

-6c = 157 - 187

-6c = -30

c = 30/6

c = 5

From ; b = 11 - c

b = 11 - 5

b = 6

Hence,

Number of bottles = 6

Number of cans = c

3 0
3 years ago
What are the zeros of the quadratic function f(x)=8^2-16-15
Ipatiy [6.2K]

Answer:

put formula a square minus b square

5 0
2 years ago
Im confused help ( i clicked one by mistake but just help me)
Gekata [30.6K]

Answer:

graph 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A diver was 5.5 feet below sea level. The diver descended an additional 1.5 feet. What is the location of the diver compared to
Svetach [21]
Simply add 5.5 feet to 1.5 feet. The answer is 7 feet below sea level.
3 0
3 years ago
Read 2 more answers
PLEASE HELP
dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}

Two events A and B are independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B)

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21

Since 0.35\cdot 0.60=0.21 events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14

Since 0.40\cdot 0.35=0.14 events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26

Since 0.65\cdot 0.40=0.26 events are independent

4 0
3 years ago
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