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FrozenT [24]
3 years ago
10

What is the equation of this graphed line?

Mathematics
2 answers:
Cloud [144]3 years ago
4 0
2x-y+2=0
slope=y-y/x-x
6-(-6)/2-(-4)=2
eq=Y-y/X-x
y-6/x-2=2
2x-4=y-6
2x-y+2=0
jek_recluse [69]3 years ago
3 0

y = 2x + 2

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6 ) ← 2 points on the line

m = \frac{6+6}{2+4} = \frac{12}{6} = 2

the line crosses the y-axis at (0, 2 ) ⇒ c = 2

y = 2x + 2 ← equation of line


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Answer:

  • mutual fund: $9000
  • CDs: $71000
  • return: $6220, an average of 7.775%

Step-by-step explanation:

Since the mutual fund is the lower yield vehicle, only the minimum should be invested there.

The investments and returns should be ...

  mutual fund: $9000, return = 6% × $9000 = $540

  CD: $71000, return = 8% × $71000 = $5680

The maximum return is ...

  $540 +5680 = $6220

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3 years ago
Functions & (f o g) (#)
sertanlavr [38]
Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
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Answer: 82.40

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Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

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Please check attachment!

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Answer:

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