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-BARSIC- [3]
3 years ago
11

Describe the transformation of the parent function f(x)=x^2 to 1/2 (x+1)^2-5

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
The parent function was moved left one and down five. It also opened up due to the 1/2
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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
Select the correct answer from each drop-down menu. A teacher is making a history test composed of the same number of multiple-c
GaryK [48]

Answer:

Step-by-step explanation:idbdhides by

7 0
3 years ago
Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?
MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0
3 years ago
Read 2 more answers
A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 208
Aliun [14]

Answer:

x= 14

Step-by-step explanation:

x + 5x +10x = 224 CENTS

solving for x

16x = 224

x = 14, the number of each coin there is

5 0
3 years ago
Please help! Brainliest to correct!
jekas [21]

Answer:

1.83 hours

Step-by-step explanation:

Time is inversely proportional to speed

Implies that T = k/R, where k is the constant of proportionality

Thus, the product T × R is a constant for any given valued of R,T.

Hence, 3 × 14 = t × 23

t = (3×14) ÷ 23

t = 1.83 hours

8 0
2 years ago
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