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earnstyle [38]
4 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]4 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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Cheyanne plans to put $150 into a savings account. She can place her money into an account represented by f(x) = 5x+150, or into
stepan [7]
In order to calculate the amount, we simply substitute the number of years into x in both equations.
After 3 years:
f(3) = 5(3) + 150
= $165
g(3) = 150 * 1.03⁽³⁾
= $163.90
After 10 years:
f(10) = 5(10) + 150
= $200
g(10) = 150 * 1.03⁽¹⁰⁾
= $201.59
After three years, the first account has more money but after ten years, the second account has more money.
4 0
4 years ago
Two kinds of fish can be found in a small tank that is 5 1/7 feet long. The blue fish is 2 /15 feet long and the orange fish is
Romashka [77]
17/30 feet
Explanation:
Blue fish: 2/15 feet long
Orange fish: 7/10 feet long

Subtract the orange fish’s length by the blue fish’s:
7/10 - 2/15
Find LCD- 30
Multiply both denominators of each fraction by a number that makes both 30 (whatever that number is multiply that also to both nunerators):
7 • 3 / 10 • 3 = 21/30
2 • 2 / 15 • 2 = 4/30

SUBTRACT:
21/30 - 4/30 = 17/30
FINAL ANSWER: the orange fish is 17/30 feet longer than the blue fish.

BRAINLIEST PLEASE! Have a nice day


7 0
3 years ago
Tonya has 39 packages.Each package weighs 6 pounds.<br> a.2,400lb<br> b.240lb<br> c.200lb<br> d20lb
Umnica [9.8K]

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

3 0
2 years ago
Write out steps on how to solve 21.4divided by 4.75
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

21.4÷4.75

  • First- you have to move the decimal placement two times to the right
  • Second- you have to put the number 21.4 under the dividing box
  • Third- put the number 4.75 out to the left of the decimal box
  • Fourth- when that's all completed you have to multiply the 475. until you get clos to the number 2140.
  • Fifth- once done you have to subtract the multiplied number that you get you then subtract it from 2140
  • Sixth- you keep on doing the fifth step until you get a reasonable answer
  • Seventh- you write the answer down
  • Eighth- there is no eighth step so you can stop reading this answer

Your welcome from Stonestreet181 and have a good day

4 0
3 years ago
Un automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas ho
Artist 52 [7]

Answer:

4 hours

Step-by-step explanation:

The speed of the first car is

v_1 = 120 km/h

While the speed of the second car is

v_2=80 km/h

The time it takes for each car to cover a distance d is

t=\frac{d}{v}

where

d = 960 km is the total distance covered

For car 1, the time taken is:

t_1=\frac{960}{120}=8 h

For car 2, the time taken is:

t_2=\frac{960}{80}=12 h

Therefore, the difference in time is:

\Delta t =t_2-t_1 =12 -8 = 4 h

8 0
3 years ago
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