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torisob [31]
3 years ago
6

Ok, i really dont understand this one XD (you'll have to zoom in to see the question I'm sorry)​

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

1. y = 2x

2. y = x + 2

3. y = 2

Step-by-step explanation:

the real equation is:

y = 2x + 0 which is the same as y = 2x.

Equation for 2:

y = 1x + 2.

Equation for 3:

y = 2

Sloper: 0

y-intercept: 2

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Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.​
elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) \sqrt{32} = 2^{\frac{5}{2} }

2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ =  \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}

Thus, the equation is TRUE.

(2) 16^{\frac{3}{8} } = 8^2

16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64

Thus, the equation is FALSE.

(3) 4^{\frac{1}{2} } = \sqrt[4]{64}

4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64}  = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2}  \times \sqrt{2}  \times \sqrt{2} ) = 2\sqrt{2}

Thus, the equation is FALSE.

(4) 2^8 = (\sqrt[3]{16} )^6

2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256

Thus, the equation is TRUE.

(5) (\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\

8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4

Thus, the equation is FALSE.

4 0
3 years ago
The diagram shows part of a number line.Two of the fractions are not complete. Write the missing numerator in each box
Tcecarenko [31]
The first numerator is 3 and the second is 17 not 2
4 0
3 years ago
A ball is thrown and the path of the ball is represented by the equation y = -x2 + 7x + 7. What is the rate of change between x
frozen [14]

Answer: I’m not sure I’m sooo sorry

3 0
4 years ago
19. 140% of 60<br> find the percent of the number. Explain your method
KonstantinChe [14]

Answer:

84

Step-by-step explanation:

is                    x           140

----   SO ...    -------  =  --------

of                  60         100

(hit like pls)

60*140=100x

8400=100x

/100     /100

-------------------

   84 = x

8 0
2 years ago
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were
Sedaia [141]

Answer:

2044 cups

Step-by-step explanation:

number of cups left = number of cups in the watering can - number of cups remaining

convert the capacity of the watering can to cups

1 quart = 4 cups

512 x 4 = 2048

2048 - 4 = 2044

8 0
3 years ago
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