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2 years ago

Write a system of inequalities using the given graph

Mathematics

1 answer:

ch4aika [34]2 years ago

4 0

Take two points

(-2,1)
(0,-3)

Slope

m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

y=-2x-3
y=-2x-1

Put (0,0) on first one

0>-3

On second one

0>-1

So as lines are dashed symbols remain >

The inequalities are

y>-2x-3
y>-2x-1

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lesantik [10]

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3 years ago

The function of f(x)=8√x gives the speed in feet per second (ft/s) of a free falling object after it has fallen x feet (ignoring

Juliette [100K]

Answer:

c. 55.4 ft/s

Step-by-step explanation:

Speed of the object is represented by the function:

$f(x)=8\sqrt{x}$

where x represents the number of feet the object has fallen. We have to find the speed of the object after it has fallen 48 feet. This means we have to find f(x) for x = 48. Substituting x = 48 in above equation we get:

$f(48)=8\sqrt{48}\\\\ =8\sqrt{16 \times 3}\\\\ =8\sqrt{4^{2} \times 3}\\\\ = 8 \times 4 \sqrt{3}\\\\ =32\sqrt{3}\\\\ = 32 \times 1.732\\\\ = 55.4$

Thus, rounded to nearest tenth, the speed of the object after it has fallen 48 feet would be 55.4 ft/s

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3 years ago

Question text You have just won the lottery. The Lottery Corporation offers you two options: 1. a lump-sum payment of $400,000,

igomit [66]

Use present value equation.
If present value of annuity equals 400,000, then you are indifferent.

$PV = A(v + v^2 + ...v^{20}) \\ \\ PV = A\frac{v(1-v^{20})}{1-v}$

where v = 1/(1+r) and A = annual payment = 800,000/20 = 40,000

PV = 400,000
After subbing in the numbers, the equation is:
$10 = \frac{v(1-v^{20})}{1-v} \\ \\ 10 - 10v = v - v^{21} \\ \\ v^{21} - 11v+10 = 0 \\ \\ v = 0.928034 \\ \\ \frac{1}{1+r} = 0.928034 \\ \\ r = 0.0775$

Therefore at interest rate of about 7.75% you are indifferent.

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4 years ago

jatonia sold n cups of lemonade at her stand for $0.75 each. she made a total of $ 18.00. Write an equation to express how many

Aleks [24]

The answer is:

0.75n = 18.00

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3 years ago

Read 2 more answers

Sally brought a 1 quart container of buttermilk to make pancakes. Her recipe says to use 1/2cups Of butter milk for 3 pancakes.

GrogVix [38]

Answer:

Step-by-step explanation:

Quart is a volume unit, equal to a quarter of a gallon. The symbol is "qt"

A quart container is equivalent to 4 cups.

a pancake need only 1/2 cup of butter milk.

We use a rule of three.

if 1/2 cup can make 3 pancakes.

How many pancakes 4 cups can make?

$\frac{4*3}{\frac{1}{2} }$ =24

We only have to multiply the 4 cups of butter milk by the 3 pancakes and the divide it by the 1/2 cup you need to make only 3 pancakes.

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3 years ago