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Nina [5.8K]
3 years ago
13

For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

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Samantha needs 4/5 yard of fabric to make costumes for the school play. Write and solve and equation to find how many costumes s
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Samantha needs 4/5 yard of fabric to make costumes for the school play.

Let x represent the number of yards of fabric that she has

Let y represent the total number of costumes that she can make from x yards of fabric.

Since one costume require 4/5 yards of fabric, y costumes will require

x ÷ 4/5 = x×5/4 = 5x/4

The equation will be

y = 5x/4

to find how many costumes she can make with 8 yards of fabric, it becomes

y = (5×8)/4

y = 40/4 = 10

5 0
3 years ago
Zelda made 5 gallons of lemonade and gave each of her friends an equal amount. Write an expression that represents how much lemo
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Answer:

2.5

Step-by-step explanation:

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8 0
3 years ago
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
Pachacha [2.7K]

Answer:

1,408 packs can be made, and 2 pens will be left out.

Step-by-step explanation:

Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:

5.634 / 4 = X

1,408.5 = X

5,634 - (1,408 x 4) = X

5.634 - 5.632 = X

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Therefore, 1,408 packs can be made, and 2 pens will be left out.

4 0
3 years ago
Write down a multiple of 8 that is between 20 and 50.
serg [7]

Answer:

24, 32, 40, or 48

Step-by-step explanation:

Count by 8.

8

16

24

32

40

48

56

8 0
3 years ago
Read 2 more answers
A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking
Licemer1 [7]

Answer:

\sf \dfrac{1}{7}

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}

7 0
3 years ago
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