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2 years ago

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The cost of in-state tuition at the University of Florida is $6,380 and is increasing at a rate of 3.1% per year. Write and use

an exponential function to find the tuition cost after 8 years. Round your answer to the nearest whole dollar.

1 answer:

baherus [9]2 years ago

7 0

Answer:

$8145

Step-by-step explanation:

=6380(1+0.031)^8

=$8145

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What is f(x) = 7x2 + 42x written in vertex form?

amid [387]

Answer:

$\boxed{\boxed{y = 7(x+3)^2-63}}$

Step-by-step explanation:

The general vertex form of parabola is,

$y=a(x-h)+k$

where,

(h, k) is the vertex of the parabola.

The given function is,

$\Rightarrow f(x) = 7x^2 + 42x$

$\Rightarrow y = 7x^2 + 42x$

$\Rightarrow y = 7(x^2 + 6x)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)$

$\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2$

$\Rightarrow y = 7(x+3)^2-7\cdot 9$

$\Rightarrow y = 7(x+3)^2-63$

This is vertex form the given function.

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2 years ago

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A regional bus between Fort Collins and Denver mostly uses the high-occupancy vehicle (HOV) lane but it does have to cross two i

Liula [17]

Answer:

0.058 is the required probability.

Step-by-step explanation:

We are given the following PMF in the question:

x: 0 1 2

p(x): 0.24 0.15 0.61

$Z=X_1 + X_2$

Z can take values 0, 1, 2, 3, 4.

We have to compute the value of P(Z=0)

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Thus,

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2 years ago

AC ≅ AE; ∠ACD ≅ ∠AED

pshichka [43]

Answers:

A) △ACF ≅ △AEB because of ASA.

D) ∠CFA ≅ ∠EBA

E) FC ≅ BE

Solution:

AC ≅ AE; ∠ACD ≅ ∠AED Given

The angle ∠CAF ≅ ∠EAB, because is the same angle in Vertex A

Then △ACF ≅ △AEB because of ASA (Angle Side Angle): They have a congruent side (AC ≅ AE) and the two adjacent angles to this side are congruent too (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then option A) is true: △ACF ≅ △AEB because of ASA.

If the two triangles are congruent, the ∠CFA ≅ ∠EBA; and FC ≅ BE, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then Options D) ∠CFA ≅ ∠EBA and E) FC ≅ BE are true

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Step-by-step explanation: i got it right

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