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48 Cards in this Set

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  • Back

Figuring out x and y intercepts

X= -4 1 5 Y= -4

Y1y2y3

25

Tickets sold for raffle

$900

One number exceeds another by 7. The sum of the numbers is -5. What are the numbers

1 and -6

1/a+1/b=1/c

c=ab/a+b

7+4i/4-6i

1/13+29/26i

4x^2=-5x-3

-23; two complex imaginary solution

(4x + 5)^2 =4

{-7/4,-3/4}

|x+3|<7

(-10, 4)

|7y+21/3|<7

(-6, 0)

{(-4, 3), (-5, -1), (9, -8), (8, 1)}

domain = {-4, 9, 8, -5}; range = {3, -8, 1, -1}

{(-6, -5), (-3, -7), (4, 6), (4, 8)}

Not a function

{(-2, -9), (3, -5), (6, 6), (8, 1), (11, 2)}

Function

The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) =0.8x + 40,000. Find C(50,000), the cost of producing 50,000 jars.

$80,000

From -1 to infinity

D [0, inf) R [-1, inf)

When the graph in increasing

(-2, 2)

f(x){x-2 if x >-1, -(x-2)} f(-2)

4

f(x) =x^2 + 8x - 9

2x + h + 8

Passing through (4, 4) and parallel to the line whose equation is 5x + y - 3 = 0; slope-intercept form

y =- 5x + 24

Passing through (3, 5) and perpendicular to the line whose equation is y = 1 7x + 4;slope-intercept form

y =- 7x + 26

f(x) = x^2 - 2x - 5, g(x) = x^2 + 2x - 1 (f of g)(-5)

163

(x + 2)^2 + (y - 3)^2 =49

(-2, 3), r =7

f(x) =-5x^2 + 10x

maximum; 1, 5

You have 72 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

length: 36 feet, width: 18 feet

f(x) =4x^3 - 3x^2 - 2x - 2

falls to the left and rises to the right

f(x) =x^3 + 2x^2 - 9x - 18

x =-2, x =-3, x =3

f(x) =4(x + 6)(x + 5)^3

-6, multiplicity 1, crosses x-axis; -5, multiplicity 3, crosses x-axis

8u^4+12u^3-2u/2u^2+u

4u^2 + 4u- 2

x^5+x^3-5/x-2

x^4 + 2x^3 + 5x^2 + 10x + 20+ 35/x - 2

f(x) =3x^3 - 17x^2 + 18x + 8

{-1/3, 2, 4}

n = 3; 3 and i are zeros; f(2) =15

f(x) =-3x^3 + 9x^2 - 3x + 9

g(x) = x + 1/x(x - 1)

x = 0 and x =1

f(x) = 4x/2x^2 + 1

y=0

g(x) = 12x^2/3x^2 + 1

y=4

x^2 - 3x - 28<0

(-4, 7)

3x + 5/4 - 2x greater than or equal to 0

[-5/3, 2)

The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 710 miles above the earth in 12 hours at a velocity of 22,000 mph, how long would it take a satellite to complete an orbit if it is at 1300 miles above the earth at a velocity of 30,000 mph? (Use 3960 miles as the radius of the earth.) Round your answer to the nearest hundredth of an hour.

9.91 hours

The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $3200.00 with an interest rate of 5% earned $320.00 in simple interest. Find the amount of simple interest earned if the principle is $1800.00 and the interest rate is 2%.

$72.00

Suppose that you have $3000 to invest. Which investment yields the greater return over 10 years: 8.75% compounded continuously or 8.9% compounded semiannually?

$3000 invested at 8.75% compounded continuously over 10 years yields the greater return.

f(x) = ln (4 - x)

(-inf, 4)

log (x-6/x^8)


----6

log (x-6)-8log x


-----6--------------6

3log m-log n


------b--------b

log (m^3/n)


-----b

log 15


-----3.14

2.3657

4^x=256

{4}

7^9x=3.6

{ln 3.6/9 ln 7}

3log 2 + 1/6log (r - 3) - 1/2log r


------4-------------4------------------4

log 8 sixth root \^6| r - 3 / square root \|r


----4

ln 2+ ln (x-1)=0

{7}

ln 2 + ln (x-1)=0

{3/2}