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Nuetrik [128]
3 years ago
12

2^x times 3^x Work out the value of x

Mathematics
1 answer:
kumpel [21]3 years ago
3 0
6^x is 3×2 is six I hope I've helped you
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Write the equation the describes the parabola that passes through the point (-8,-21) and has a vertex of (-4,-5), in vertex form
Harlamova29_29 [7]

Answer:

d

Step-by-step explanation:

7 0
2 years ago
The box shown has a volume of 8 cubic inches.
Eduardwww [97]

Answer:

The answer is 2

Step-by-step explanation:

If we use the formula for volume LWH=V. We also take in the fact that a cube has the same measure on every side. and we input 2 for L , W , and H

Which is 2*2*2=8

5 0
2 years ago
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
Sonja [21]

Answer:

Step-by-step explanation:

The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270

Now selecting 2 gems from 25 is 25C2

25 C 2 = 25 * 24/2 = 300

Selecting one good gem is 10

Total selection = 300 * 10 = 3000

P(gems) = 3000 / 39270

P(gems) = 300/3927

P(gems) = 100/1309

6 0
3 years ago
Write a polynomial function of least degree with the given zero. -1+ √ 2, √ 3
kirill115 [55]

Answer:

f(x) = x^{4} + 2x³ - 4x² - 6x + 3

Step-by-step explanation:

Note that radical zeros occur in conjugate pairs, thus

- 1 + \sqrt{2} is a zero then - 1 - \sqrt{2} is also a zero

\sqrt{3} is a zero then - \sqrt{3} is also a zero

Thus the corresponding factors are

(x - (- 1 + \sqrt{2}) ), (x - (- 1 - \sqrt{2}) ), (x - \sqrt{3}), (x - (- \sqrt{3})), that is

(x + 1 - \sqrt{2}), (x + 1 + \sqrt{2}), (x - \sqrt{3}), (x + \sqrt{3})

The polynomial is then the product of the roots

f(x) = (x + 1 - \sqrt{2})(x + 1 + \sqrt{2})(x - \sqrt{3})(x + \sqrt{3})

     = ((x + 1)² - (\sqrt{2})²)((x² - (\sqrt{3})²)

     = (x² + 2x + 1 - 2)(x² - 3)

     = (x² + 2x - 1)(x² - 3) ← distribute

     = x^{4} - 3x² + 2x³ - 6x - x² + 3

     = x^{4} + 2x³ - 4x² - 6x + 3

6 0
3 years ago
how long would it take an ostrich to run to the sun if the speed is 80km/h
Ulleksa [173]

Answer:

eighteen million eight hundred twenty-six thousand two hundred fifty

Step-by-step explanation:

7 0
3 years ago
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