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Ludmilka [50]
3 years ago
13

Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>The quadratic equation in factored form:</u>

  • a(x - α)(x - β), where a- leading coefficient, α and β - roots

<u>We have:</u>

  • a = 3, α = 1, β = -2

<u>Substitute them to get:</u>

  • 3(x - 1)(x + 2)

<u>Converting this into standard form:</u>

  • 3(x - 1)(x + 2) =
  • 3(x² + x - 2) =
  • 3x² + 3x - 6
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WARRIOR [948]

Answer: Lower right corner

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Explanation:

The information that the temperature rises 3 degrees per hour will tell us the slope here. The slope is rise/run = 3/1 = 3. Each time we move up 3 on the y axis, we move 1 spot to the right.

As you can see in the bottom right hand corner graph, we start off at a temperature of 20 degrees. This is the point (x,y) = (0,20)

Then one hour later (x = 1), the temperature y bumps up to y = 23. Another hour passes by (x = 2) and y becomes y = 26. And so on.

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3 years ago
A triangle has an area of 45 square units. Its height is 10 units.
arsen [322]
4 units for base length  

8 0
3 years ago
How to graph x plus y equals 6 and y equals x plus 4
IgorC [24]

Answer:

1) convert these words into 2 equations:

x+y=6

y=x+4

1) for the first equation graph by intercepts:

x intercept: x+0=6

x=6

y intercept: 0+y=6

y=6

hence put point (0,6) and (6,0) on the graph

2nd equation:

graph by slope intercept: go to (0,4) on the graph. go up one and over one to the right. You should end up at (1,5)

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6 0
3 years ago
Steps to solve the equation 4n - 2n + 4 = -1 + 17
Liula [17]

4n-2n+4=-1+17

2n+4=-1+17

-1+17=16

2n+4=16

Move + 4 to the other side. Sign changes from +4 to -4

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2n=12

Divide by 2 for 2n and 12

2n/2=12/2

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Check answer by using substitution method

4(6)-2(6)+4=16

24-12+4=16

12+4=16

16=16

Answer : n=6

3 0
3 years ago
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-5(a-6)+ 2a Help me with this equation pleaseee asap
Ne4ueva [31]

Answer:

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Step-by-step explanation:

-5a+30+2a.

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