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1 year ago

Evaluate the expression when x=-5 X^2 + 6x-9

Mathematics

1 answer:

d1i1m1o1n [39]1 year ago

5 0

The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given that:

f(x) = x² + 6x - 9

When x = -5:

f(-5) = (-5)² + 6(-5) - 9 = -14

The value of the function f(x) = x² + 6x - 9 when x = -5 is -14.

Find out more on equation at: brainly.com/question/2972832

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Jamie is riding a Ferris wheel that takes fifteen seconds for each complete revolution. The diameter of the wheel is 10 meters a

Agata [3.3K]

Answer:

The answers to the question is

(a) Jamie is gaining altitude at 1.676 m/s

(b) Jamie rising most rapidly at t = 15 s

At a rate of 2.094 m/s.

Step-by-step explanation:

(a) The time to make one complete revolution = period T = 15 seconds

Here will be required to develop the periodic motion equation thus

One complete revolution = 2π,

therefore the we have T = 2π/k = 15

Therefore k = 2π/15

The diameter = radius of the wheel = (diameter of wheel)/2 = 5

also we note that the center of the wheel is 6 m above ground

We write our equation in the form

y = $5*sin(\frac{2*\pi*t}{15} )+6$

When Jamie is 9 meters above the ground and rising we have

9 = $5*sin(\frac{2*\pi*t}{15} )+6$ or 3/5 = $sin(\frac{2*\pi*t}{15} )$ = 0.6

which gives sin⁻¹(0.6) = 0.643 = $\frac{2*\pi*t}{15}$

from where t = 1.536 s

Therefore Jamie is gaining altitude at

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ 1.676 m/s.

(b) Jamie is rising most rapidly when the velocity curve is at the highest point, that is where the slope is zero

Therefore we differentiate the equation for the velocity again to get

$\frac{d^2y}{dx^2} = -5*(\frac{\pi *2}{15} )^2*sin(\frac{2\pi t}{15})$ =0, π, 2π

Therefore $-sin(\frac{2\pi t}{15} )$ = 0 whereby t = 0 or

$\frac{2\pi t}{15}$ = π and t = 7.5 s, at 2·π t = 15 s

Plugging the value of t into the velocity equation we have

$\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi t}{15}) =$ - 2/3π m/s which is decreasing

so we try at t = 15 s and we have $\frac{dy}{dt} = 5*\frac{\pi *2}{15} *cos(\frac{2\pi *15}{15}) = \frac{2}{3} \pi$ m/s

Hence Jamie is rising most rapidly at t = 15 s

The maximum rate of Jamie's rise is 2/3π m/s or 2.094 m/s.

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3 years ago

(PLS ANWSER FAST) Kyle has a storage box in the shape of a rectangular prism. the box has a square base with sides that are 3 ft

Dennis_Churaev [7]

V = length x width x height

In this problem:

length = 3

width = 3

height = 6

V = 3 x 3 x 6

V = 54 ft^3

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3 years ago

What is the answer to 1.5 / 2.5 equals 3.5 / d

Kay [80]

Answer:

1.5/2.5 = 3.5/5.83recuring

Step-by-step explanation:

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3 years ago

Evaluate the following expressions if ×=2,y=3 and Z=4. a.4×+×-3over ×+10 b.2y-5yover y+5. c.yz-×. d.9+y+zover y+2

sammy [17]

Answer:

A= 7 11/12 or 7.916 or 95.12

B= 4 1/8 or 4.125 or 33/8

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3 years ago

Pringles is planning their sales force spending for the next year. Each of their sales people spends about 3400 hours annually a

LUCKY_DIMON [66]

Answer:

459 sales people.

Step-by-step explanation

Time per call (t) = 45 min = 0.75 h

Hours per sales person (H) = 3,400 hours

Number of customers (n) = 40,000 customers

Call frequency (f)= 52 calls per year

The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:

$S=\frac{40,000*0.75*52}{3,400}\\ S=458.8$

Rounding up to the next whole person, Pringles needs 459 sales people.

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3 years ago

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