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1 year ago

1. Graph the linear function f(x) = -2x + 1

Mathematics

1 answer:

anyanavicka [17]1 year ago

3 0

Answer: The slope is -2 and the y-intercept is (0,1)

Step-by-step explanation:

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-7x + 2y = 18<br> 6x+6y=0

tia_tia [17]

Answer:

{25/2,-25/2}

Step-by-step explanation:

4 0

2 years ago

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

2 years ago

Don ate 160 grams of carbohydrates, 100 grams of fat, and 70 grams of protein today. What is his total calorie consumption for t

Artemon [7]

Answer:

His total calorie consumption for the day is:

Option C. 1.820 kcal

Step-by-step explanation:

Protein and carbohydrates both contain 4 calories per gram, while fat provides 9 calories per gram, then:

1.) 160 grams of carbohydrates contain:

160 grams * (4 cal/gram)=640 cal

2.) 100 grams of fat contain:

100 grams * (9 cal/gram)=900 cal

3.) 70 grams of protein contain:

70 grams * (4 cal/gram)=280 cal

Then, his total calorie consumption for the day is:

T=640 cal + 900 cal +280 cal

T=1,820 cal

T=1,820 cal (1 kcal / 1,000 cal)

T=1.820 kcal

6 0

3 years ago

Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3

klemol [59]

Steps:
1. Draw a long box
2. Draw a horizontal line down the center of the box
3. Draw three equal sections in the top half ; shade in 1 segment
4. Draw 6 equal sections in the bottom half; shade in 2

4 0

2 years ago

Teenage Mutant Ninja Turtles desmos

grigory [225]

Answer:

i agree

Step-by-step explanation:

5 0

2 years ago

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