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3 years ago

The graph to answer the question and the answer choices.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

y ≥ 3x -1; x +3y ≤ 6

Step-by-step explanation:

Both lines are solid, so the only viable choices are those with "or equal to" in the comparison operators: the 2nd and 4th choices.

The line with a slope of +3 is shaded above the line, so that will correspond to the inequality ...

y ≥ 3x -1 . . . . . . . . . . found only in the 4th choice.

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Suppose you buy a 1.25-pound package of ham at $5.20 per pound. (a) What fraction of a pound did you buy? (b) How much money did

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25/100=1/4
a) you bought 1 1/4 pound of ham
b) $6.50
1.25 x $5.20=$6.50

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3 years ago

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The second choice my dude

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2 years ago

Which statement is false?

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Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

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Write the fraction as a decimal. 16/5

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3.2

Step-by-step explanation:

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3 years ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

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3 years ago