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ollegr [7]
3 years ago
12

What is the inverse of f(x)= cube root of x +2.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0
f(x) = \sqrt[3]{x + 2} \\y = \sqrt[3]{x + 2} \\y^{3} = x + 2 \\x^{3} = y + 2 \\x^{3} - 2 = y \\x^{3} - 2 = f^{-1}(x)
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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
2 years ago
Simplify (-5) + (-4) + (7).<br> 0-2<br> 06<br> O<br> 8<br> 16
stich3 [128]

Answer:

- 2

Step-by-step explanation:

The question is - 5 + - 4 + 7

You do addition first.

-4 + 7 = 3

So now we have - 5 + 3

-5 + 3 = - 2

5 0
2 years ago
(2y^3+5y^2-y+15) ÷ (y-4)
Sveta_85 [38]
ANSWER: 2y^2 + 13y +51 r(219/y-4)

picture explanation too:

8 0
3 years ago
What's the value of x? 40000mg =10x g
dybincka [34]

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = \frac{40000}{1000} g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

7 0
2 years ago
Which is the wrong one? BIGGER OR SMALLER <br><br> help
harina [27]

Answer:

It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)

Step-by-step explanation:

Look in the comments to figure out why D is correct. You're welcome! :)

7 0
2 years ago
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