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3 years ago

8

James creates the table shown to represent the function f(x)=x^2+8x+12.

1 answer:

Rasek [7]3 years ago

6 0

The table tells you that f(x)=0 at x=-6 and -2

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A small cargo plane currently has 145 pounds of cargo aboard. In addition, n boxes weighing 50 pounds each will be brought aboar

Fudgin [204]

145 + 50n < p....this would be ur inequality

7 0

3 years ago

Mrs. Jackson earned a 500 bonus for signing a one-year contract to work as a nurse. Her salary is 22 per hour. If her first week

jekas [21]

Ok so your first step is to make this an equation
she gets paid x amount per hour and she works for 22 hours
so 22x plus her bonus
22x + 500 =1204
so now solve the equation
subtract both sides by 500
22x +500 =1204
-500 = -500
to get
22x = 704
now divide both sides by 22
x = 32
mrs jackson worked 32 hours to get her pay check

7 0

3 years ago

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

3 years ago

1. -4x + 5 = 2x - 7<br> 2. 6x - 8 = 4x + 2<br> 3. -3x - 5 = 2x + 10

Svetllana [295]

Answer: 1. x=2

2. x=5

3.x=-3

Isolate the variable by dividing each side by factors that don't contain the variable.

Move all terms not containing x to the right side of the equation.

Hope this helped

7 0

3 years ago

Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?

Zinaida [17]

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is $tan(72)$ .

The right side of the equation is opposite over adjacent.

$x/20$

Set these equal to each other.

$tan(72) = x/20$

Simplify.

$20 tan(72)=x$

$20(3.078) = x$

x is approximately 61.554.

4 0

3 years ago