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3 years ago

11

What is the constant term that completes the perfect square trinomial. y^2 + y

1 answer:

lara [203]3 years ago

4 0

Y^2 + y

y^2 + y + 0.25 <=== the constant term is 0.25
(y + 0.5)(y + 0.5) =
(y + 0.5)^2

to find the constant, u take half of ur y coefficient (not the y^2 coefficient)....y^2 + 1y....ur y coefficient is 1......half of it is 0.5....u then square it....(0.5^2) = 0.25 ....this is ur constant

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Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

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If we divide (3) by (2), we calculate the value of $B$ :

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And by (2), we determine the value of $A$ :

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