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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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A circular gift has a 4.75 inch radius. alyssa wants to wrap a ribbon that costs $0.50 per inch around the gift. How much money
Montano1993 [528]

The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.

Step-by-step explanation:

The given is,

                      A circular gift has a 4.75 inch radius

                      Ribbon that costs $0.50 per inch

Step:1

           Formula to calculate the perimeter of circle,

                               Perimeter, P = 2\pi r......................(1)

           Where, r - Radius of circle

           From the given,

                                                  r = 4.75 inches

          Equation (1) becomes,

                                                P = 2 (\pi )(4.75)

                                                    = 2(3.14)(4.75)            (∵ \pi= 3.14)

                                                    =2(14.915)

                                                    =29.83

                              Perimeter, P = 29.83 inches

Step:2

            Cost for wrap the ribbon to around the circular gift,

                                          = Perimeter of circular gift × ribbon cost per inch

                                          = (29.83 × 0.50)

                                          = $14.915

          Cost for wrap the ribbon to around the circular gift = $14.915      

Result:

           The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.                          

7 0
3 years ago
Suppose an amount increases by 100%, then decreases by 100%. Find the final amount. Would the situation change if the original i
Anarel [89]
Well to solve this, lets plug in some numbers. Lets assume that for now, the starting number is 2. If it increases by 100%, bringing it up to 4, then decreases 100%, it is brought down to zero. Now one thing to note is that any number decrease by 100% is automatically zero. Watch, we start with two, it is then increased by 150%, bringing it up to 5, then decreased by 100%, bringing it back down to zero. In conclusion, 100% cannot be specified as a value, but rather a relation. 100% represents the entire number, meaning that if you are decreasing a number by 100%, you are basically subtracting the number by itself!
6 0
3 years ago
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Delicious77 [7]

4 2/3+5x=7-2x

Add 2x to both sides.

4 2/3+7x=7

Subtract 4 2/3 on both sides.

7x=2 1/3

7x=7/3

Divide by 7 on both sides.

x=1/3

answer: x=1/3

5 0
3 years ago
Read 2 more answers
Solve for y: x + 5y - 10=22​
cestrela7 [59]

Answer: Y= -x/5 + 32/5

Step-by-step explanation:

7 0
3 years ago
Please help me solve this
Andreas93 [3]

Answer:

  $0.75 per lemon

Step-by-step explanation:

Express the ratio on the left as a decimal:

  $3/(4 lemons) = $?/lemon

  0.75 $/lemon = ? $/lemon

  0.75 = ?

The unit rate is $0.75 per lemon.

7 0
3 years ago
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