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marusya05 [52]
3 years ago
8

Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.

Mathematics
2 answers:
Aloiza [94]3 years ago
5 0

Answer:

Tamara is correct here. With the expression: 35 + z < 59, Some examples could be; 10,20,15,21,22,23,24, or really anything under the number 24 will be acceptable for this expression to be true.

Step-by-step explanation:

Hope that this helps! :)

MakcuM [25]3 years ago
4 0

Answer:

z<24

Step-by-step explanation:

It can't be more than one value. All you do is subtract 35 from both sides to isolate z.

Hope this helped!

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

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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:

A\cdot e^{7\cdot B} = 12 (2)

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

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

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

A = 12\cdot e^{-7\cdot B}

A = 0.0704

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Step-by-step explanation:

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