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3 years ago

3.) Write an inequality for the phrase "two more than three times a number is at

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer:

3x + 2 ≤ 53

Step-by-step explanation:

"2 more than" means that there will be a + 2 in the equation. "3 times a number" means that 3 is multiplied by an unknown number which can be represented by a variable such as x. "At most" means less than or equal to, since the number cannot be greater than.

So generally, you might want to write the equation as 2 + 3x ≤ 53, but 2 + 3x is not in y = mx + b form. Basically, you need to write it as 3x + 2 ≤ 53 because that's how math works.

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2 years ago

What is (9x 2/3) x 2/3

Montano1993 [528]

Answer:

Step-by-step explanation:

(9 x 2/3) x 2/3

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2 years ago

Read 2 more answers

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kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

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2 years ago

In each case, determine if the function can be differentiated using the rules developed so far (sections 3.1 and 3.2). (a) y = 2

Alex_Xolod [135]

The rule for differentiation for variable with exponents has the formula:

d/dx (xⁿ) = nxⁿ⁻¹
where n is the exponent

Thus, for the given equation, the solution is as follows:
y = 2x²
dy/dx = 2(2)x²⁻¹ = <em>4x

Thus, the derived equation of the given would now be 4x.</em>

3 0

3 years ago