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3 years ago

13

Bob is thinking about leasing a car the lease comes with an interest rate of 8% determine the money factor that will be used to

calculate bonus payment

1 answer:

Margarita [4]3 years ago

6 0

Answer:

0.00333

Hope that helps.

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Geoff spent a total of $126 on coffee in the last 6 weeks. If he speny an equal amount of money each day, how much did he spend

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Answer:

3 dollars

Step-by-step explanation:

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G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$

2. Since

$G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x)$ the function is neither even nor odd.

3. The domain is $x\in (-\infty,\infty),$ the range is $y\in (-\infty,\infty).$

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3 years ago

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

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3 years ago

PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP

Bas_tet [7]

Answer:

$V_{cone} =65.94\: cm^3$

Step-by-step explanation:

Height of cone (h) = 7 cm

Base radius (r) = 3 cm

Formula for Volume of cone is given as:

$V_{cone} = \frac{1}{3}\pi r^2h$

Plugging the values of h and r in the above formula, we find:

$V_{cone} = \frac{1}{3}(3.14) (3)^2(7)$

$\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)$

$\implies V_{cone} = (3.14) (3)(7)$

$\implies V_{cone} =65.94\: cm^3$

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2 years ago