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Naily [24]
3 years ago
6

Replace ? with an expression that will make the equation valid.

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

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Evaluate the expression for h = –4. Simplify your answer. h + 16 h =
QveST [7]

Answer:

-68

Step-by-step explanation:

-4-64

-68

5 0
3 years ago
Which expression is equivalent to 2m^2-m^2(7-m)+6m^2
dezoksy [38]
<span>2m^2-m^2(7-m)+6m^2
= 2m^2 - 7m^2 + m^3 + 6m^2
= m^3 + m^2</span>
5 0
3 years ago
Read 2 more answers
96/8 + {2(5-7) exponent 2 + 4}
Makovka662 [10]

Answer:

24

Step-by-step explanation:

96/8 + {2(5-7) exponent 2 + 4}

= 96/8 + {2(-2) exponent 2 + 4}

= 96/8 + {2(4) + 4}

= 12 + {8 + 4}

= 12 + 12

=24

3 0
3 years ago
PLZ answer all questions text me if you gotta tell me something
NikAS [45]
1. they all are neighbors
2. it would be 2 x Y^2 divided by 54
3. do 54 divided by 7
4 0
4 years ago
En the line below.
igomit [66]

Answer:

y + 1 = - \frac{2}{7} (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = \frac{-3+1}{3+4} = \frac{-2}{7} = - \frac{2}{7}

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - \frac{2}{7} ( x - (- 4) ) , that is

y + 1 = - \frac{2}{7}(x + 4) ← equation of line

8 0
3 years ago
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