2 years ago

Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?

Mathematics

1 answer:

anyanavicka [17]2 years ago

8 0

Answer:

Step-by-step explanation:

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Use the figure below to find the value of x and PQ.

Scilla [17]

Answer:

x=14

PQ=46

Step-by-step explanation:

PT and TQ are equal, so we can set up the equation like this: PT=TQ

23=2x-5

calculate to find x

x=14

PQ is just PT+TQ so 23+23=46

7 0

2 years ago

7.) Mya has ballet lessons every sixth day and swimming lessons every fourth day. Today she has both lessons. In how many days w

mr_godi [17]

Answer:

Step-by-step explanation:

step #1: add $24.94 with $3.82

24.94 + 3.82 = 28.76

Step #2: subtract

$50 - 28.76 = $21.24

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =

sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

5 0

2 years ago

Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Semmy [17]

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

step(i):-

Given function g(t)=t²-t and f(x)=1+x

given f(x)=1+x

f(2) = 1 + 2 =3

step(ii):-

g( f(2)+3) = g(3 + 3)

= g(6)

= (6)² - 6

= 36 -6

= 30

Conclusion:-

g( f(2)+3) = 30

7 0

2 years ago

SOLVE FOR X, EXPLAIN PLEASE URGENT.

devlian [24]

3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8

3 0

2 years ago