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Keith_Richards [23]
3 years ago
6

Can you show me the graph for f(x) = 1/2 x + 2

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
8 0

It's a linear function y = mx + b.

The graph is a straight line.

We need only two points to plotting a graph of linear function.

Choose two values of x and calculate values of y.

f(x)=\dfrac{1}{2}x+2\to y=\dfrac{1}{2}x+2\\\\for\ x=0\to y=\dfrac{1}{2}(0)+2=0+2=2\to(0,\ 2)\\\\for\ x=-4\to y=\dfrac{1}{2}(-4)+2=-2+2=0\to(-4,\ 0)

frez [133]3 years ago
4 0

Here is the graph with your line in it.

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54 divided by _____ = -27
Nikitich [7]

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

\frac{54}{x}=\text{ -27}

\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2  (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}

Hence, 54/-2 = -27

6 0
1 year ago
What is the formula for the following arithmetic sequence? -9 , -2 , 5 , 12
nirvana33 [79]
First term:  -9
Common difference:  7


a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }

Check:  what is the first term?  let n=1.   Then a(1) = -9 + 7(1-1) = -9.  
This is correct.
7 0
3 years ago
Read 2 more answers
(Im sure this is a easy answer but im just double checking)
IgorC [24]
This answer seems to be C
5 0
3 years ago
Jovita divides $12,000 into three investments: a savings account paying 4% annual interest, a bond paying 6%, and a money market
xenn [34]

Answer:

$2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

Step-by-step explanation:

Let a, b, and c be the fractions of the $12,000 that is invested in the savings, bond, & money fund respectively.

Let S1, S2, S3 be the total monies from the savings, bond, & money fund after the year with interest respectively.

We know that a+b+c=1

and

S1+S2+S3 = 12000 + 860

S1+S2+S3 = 12860

From, the question, we know that b = 2a, and c = 1 - 3a based on the condition of 2 times more in the bond account that the savings account.

Thus;

S1 = a(12000)(1.04) = 12480a

S2 = 2a(12000)(1.06) = 25,440a

S3 = (1 - 3a)(12000)(1.09) = 13080 - 39240a

We already know that;

S1+S2+S3 = 12860

Thus, Adding the 3 equations gives;

12480a + 25,440a + 13080 - 39240a = 12860

Thus, simplifying gives;

13080 - 12860 = 39240a - 12480a - 25,440a

220 = 1320a

a = 220/1320

a = 0.1667

So,b = 2 x 0.1667 = 0.3334

c = 1 - (3 x 0.1667)

c = 1 - 0.5

c = 0.5

Thus,

S1 = 12480a = 12480 x 0.1667 ≈ $2080

S2 = 25,440a = 25440 x 0.1667 ≈ $4241

S3 = 13080 - 39240(0.1667) ≈ 6539

So, $2080 was invested in the savings account, $4241 was invested in the bond account, & $6539 was invested in the money fund.

3 0
3 years ago
Read 2 more answers
Samantha invited 30 friend to her birthday party. If 2 out of 3 friend invited came to the birthday party, how many friends came
lord [1]

Answer:

20 people

Step-by-step explanation:

4 0
2 years ago
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