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3 years ago

Solve the equation for t. -5(t-5)+9t=6t-4solve the equation for t. -5(t-5)+9t=6t-4

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

t = 29/2

Step-by-step explanation:

-5(t - 5) + 9t = 6t - 4

-5t + 25 + 9t = 6t - 4

4t + 25 = 6t - 4

4t + 29 = 6t

29 = 2t

29/2 = t

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Which expression is equivalent to ( 4mn / m^-2n^6)^-2

inn [45]

Here are a few rules with exponents that apply here:

Raising a power to a power: $(x^m)^n=x^{m*n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Converting negative exponents to positive ones: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outer exponent:

$(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}$

Next, divide:

$\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}$

Next, convert the negative exponents:

$4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}$

Your final answer is n^10/16m^6 , or B.

8 0

3 years ago

Can someone please answer this question I need it today please show work and please answer it correctly i

svlad2 [7]

Answer:

24) $495

25) 14%

26) 25/X = 83/100

27) 0.7p

28) x + .085x and 1.085x

29) $221.90

30) $24.10

31) $6.13

32) 40%

Step-by-step explanation:

24) 600 - (600 × 0.25) = 450

450 × 1.10 = 495

25) (106 - 93) ÷ 93 = 0.13978

0.13978 × 100 = 13.978 ~ 14

27) 1.0 - 0.3 = 0.7

28) 1.00 + 0.085 = 1.085

29) 100% - 15% = 85%

240 × 0.85 = 204

204 × 1.0875 = 221.85

30) 25.89 × 4 = 103.56

103.56 + 179.99 = 283.55

283.55 × 0.085 = 24.10175

31) 8.75 × 0.70 = 6.125

32) 80 - (80 × 0.40) = 48

4 0

3 years ago

Simplify (3x2 – 4x – 1) + (8x2 – x + 6)

abruzzese [7]

Answer:

$11x^{2} -5x+5$

Step-by-step explanation:

$3x^{2}-4x-1+8x^{2} -x+6$

$3x^{2}+8x^{2}-4x-x-1+6$

Combine like terms

$11x^{2}-5x +5$

6 0

3 years ago

If f(x) = 12x+2, then f^-1(x) =??

olga nikolaevna [1]

Step-by-step explanation:

Given

f(x) = 12x + 2

f^-1(x) = ?

Now

Let y = f(x)

or y = 12x + 2

Interchanging the role of x and y

x = 12y + 2

x - 2 = 12y

y = x - 2

Therefore f^-1(x) = x - 2

Hope it will help you.

5 0

3 years ago

Read 2 more answers

What is the best first step in solving the equation 3x2 + 8x = -5?

Rashid [163]

I would assume it would be dividing both sides by three although if someone were to actually solve this I would say multiply 2 and 3 together first.

Hope this helps :)

5 0

3 years ago