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frozen [14]
3 years ago
12

Rewrite the expression as an exponent with a base of x: (x^6)^4

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

it´s good

Step-by-step explanation:

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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to -2(5x -0.75)?
grin007 [14]

Answer:

-10x + 1.5

Step-by-step explanation:

-2(5x-0.75)

-10x+1.5

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

6 0
3 years ago
If a horizontal line segment is 5 units in length,What is the endpoint for the line segment?
IceJOKER [234]

Answer: -3,7

Step-by-step explanation:

4 0
3 years ago
Please help!! <br><br> What is the value of Avogado's number?
vesna_86 [32]

Answer:

It will be C because I have it in my notes lol

Step-by-step explanation:

Hope this Helped

8 0
3 years ago
The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a
Natali [406]
<span>Cone Lateral Area = (<span>π<span> • r •<span> slant height)
</span></span></span></span><span>Cone Lateral Area = (PI * 3 * 5)
</span>Cone Lateral Area = <span> <span> <span> 47.1 </span> </span> </span> square inches
Cone Lateral Area = <span> <span> 47</span></span> square inches (rounded to nearest whole number).


6 0
3 years ago
Read 2 more answers
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