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3 years ago

What is 9-6n-(-5n)-(-8)

Mathematics

2 answers:

djyliett [7]3 years ago

6 0

9-6n-(-5n)-(-8)
=9-6n+5n+8
=17-n

mezya [45]3 years ago

4 0

Rewritten: 9 - 6n + 5n + 8

Grouping like terms: -6n + 5n + 9 + 8

That equals to: -n + 17

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Add:(3x2 - 5x + 6) + (9 - 8x - 4x2)

finlep [7]

You can see by the image how did I get the answer

3 0

3 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

The geometic mean of 4 and 21

-Dominant- [34]

Answer:

12.5

Step-by-step explanation:

4+21=25

25/2=12.5

4 0

3 years ago

Find the interest rate r compounded monthly if the principal P = $4,300 reaches the future value F = $4,720 in t = 6 years. Roun

kirza4 [7]

Answer:

1.55%

Step-by-step explanation:

Fill in the values and solve for the rate using the future value formula.

FV = P(1 +r/n)^(nt)

4720 = 4300(1 +r/12)^(12·6)

(4720/4300)^(1/72) = 1 +r/12

r = 12(4720/4300)^(1/72) -1) ≈ 0.015542

The annual interest rate is about 1.55%.

4 0

3 years ago

Please someone explain how to solve this piecewise function!!!! Im super confused

Xelga [282]

Answer:

From top to bottom:

$0, 1, 2, -8, -8$

Step-by-step explanation:

We are given the piecewise function:

$g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.$

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

$g(-2)=0.5(-2)+1=-1+1=0$

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

$g(0)=0.5(0)+1=1$

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

$g(2)=0.5(2)+1=1+1=2$

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

$g(4)=-8\text{ and } g(6)=-8$

7 0

3 years ago