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3 years ago

Simplify (8z - 10) ÷ (-2) 5(z - 1).

1 answer:

Nookie1986 [14]3 years ago

5 0

(8z - 10) ————————— + 5 • (z - 1) -2 Step 2 : 8z - 10 Simplify ——————— -2 Step 3 :Pulling out like terms :

3.1 Pull out like factors :

8z - 10 = 2 • (4z - 5)

Equation at the end of step 3 : (5 - 4z) + 5 • (z - 1) Step 4 :Final result : z

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Simplify (6 5x) (7x 3)

antiseptic1488 [7]

(6 + 5x)(7x + 3) = 42x + 18 + 35x^2 + 15x = 35x^2 + 57x + 18

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3 years ago

Use logarithmic differentiation to find the derivative of the function.y = x^8 sin(x)

givi [52]

$Answer: \frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})$

Step-by-step explanation:

Since we have given that

$y=x^{8sinx}$

By using logarithmic on both sides we get,

$log y= 8 sinx. logx$

(∵ $log(a^m)=m.loga$ )

Now, differentiating on both sides ,we get,

$\frac{1}{y}.\frac{\partial y}{\partial x}=8(\frac{\partial sinx}{\partial x}.logx+sinx \frac{\partial logx}{\partial x})$

$\\\frac{1}{y}\frac{\partial y}{\partial x}=8(cosx.logx+sinx.\frac{1}{x})$

$\\\frac{\partial y}{\partial y}=8y(cosx.logx+\frac{sinx}{x})\\\\\frac{\partial y}{\partial x}=8x^{8sinx}(cosx.logx+\frac{sinx}{x})$

6 0

3 years ago

What is the value of expression? 5−8 • 5−4 a. 532 b. 54 c. 5−4 d. 5−12

Olin [163]

$5-8\cdot 5-4 =5 (-8-4) = \boxed{5 (-12)}$

4 0

3 years ago

Find the indicated nth term show your solution 8,15,22,29,...,a18

Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

Arithmetic Sequence — a sequence that has same difference or common difference.
Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

Common Difference

$\displaystyle \large{a_{n + 1} - a_n = d}$

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

General Terms of Arithmetic Sequence

$\displaystyle \large{a_n = a_1 + (n - 1)d}$

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

$\displaystyle \large{a_{18} = 8 + (18 - 1)7} \\ \displaystyle \large{a_{18} = 8 + (17)7} \\ \displaystyle \large{a_{18} = 8 + 119} \\ \displaystyle \large{a_{18} = 127}$

Therefore, the 18th term is 127.

4 0

3 years ago

Please help I’ll mark you as a brainliest

masha68 [24]

Answer:

divide 150 by 32 to get 4

Step-by-step explanation:

i used a calculator sorry if wrong im new

8 0

3 years ago