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True [87]
2 years ago
9

Y=2x+6 and y=-3x+16 for solving the system

Mathematics
1 answer:
Butoxors [25]2 years ago
4 0
Substitution

Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.

Step 2: Plug in 2x + 6 into the opposite equation.

   2x + 6 = -3x + 16
         - 6              - 6
------------------------------
   2x = -3x + 10
+ 3x  + 3x
------------------------------
   5x  =  10
 ------   ------
    5        5

x = 2

Step 3: Plug in the x value into either equation.

y = 2(2) + 6
y = 4 + 6
y = 10

The final answer gets expressed as a coordinate pair: (x,y) (2,10)

I hope this helps you :)




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How many times does the equation f(x)=2x^2+9x-5 intersect the x-axis
Komok [63]

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

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3 years ago
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
IrinaVladis [17]

Answer:

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

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How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

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(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

n = 537.1

Rounding up

538 books should be tested.

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