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Valentin [98]
3 years ago
9

Which expression is equivalent to four?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0
C because first you do ( 4+2 ) = 6 and 10 - 6 = 4
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Solve the equation. Check for extraneous solutions. <br> 2|7−7x|=2x+4
Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

5 0
3 years ago
The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this f
Ahat [919]
The domain is all the positive values and the range is also all the positive values.

Then the answer is the option D) s>0 and V(s) > 0.
4 0
3 years ago
Read 2 more answers
Solve for y: 10.3 = 0.6y
Mademuasel [1]
Y is being multiplied by 0.6 so you have to divide by 0.6 on both sides to leave y alone.
y=10.3/0.6
7 0
3 years ago
Read 2 more answers
What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.
sammy [17]

Answer:

area of the figure ≈61.23 cm² to the nearest hundredth

Step-by-step explanation:

To find the area of the figure, we will follow the steps below;

Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram

area of figure = area of semicircle + area of parallelogram

first, we will find the area of the semi-circle

area of a semi-circle = πr² /2

from the diagram given, diameter = 7cm

but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm

π = 3.14

Lets insert the values into the formula

area of a semi-circle = πr² /2

                                    =3.14×3.5² /2

                                    =3.14×12.25 /2

                                     =19.2325 cm²

Area of a parallelogram = b×h

where b = base and h = height

from the figure given, base b = 7cm   and height h = 6 cm

Lets insert the values into the formula

Area of a parallelogram = b×h

                                       = 7×6

                                       =42 cm²

area of the figure = area of semicircle + area of parallelogram

                                =19.2325 cm²   +   42 cm²

                                =61.2325 cm²

                                ≈61.23 cm² to the nearest hundredth

area of the figure ≈61.23 cm² to the nearest hundredth

8 0
2 years ago
after every eighth visit to a restaurant you receive a free beverage.after every tenth visit you receive a free appetizer. if yo
Alik [6]

On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.

  • 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.
  • 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Thus making 40 and 80 the answers. I hope this helps!

3 0
2 years ago
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