The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)^x and f(5) = 972. What does the 5 represent?

Final answer:

In this math problem, we're performing a simple subtraction. The first dragon had 9 heads, and the second dragon had 2 fewer, which totals to 7 heads for the second dragon.

Explanation:

The subject of this problem is simple subtraction. If Erin fought a dragon with 9 heads, and then she fought another dragon that had 2 fewer heads than the first, we have to subtract 2 from 9. The calculation would be: 9 - 2 = 7. Hence, the second dragon Erin fought had 7 heads.

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Answer:

Approximately 1,552.42.

Step-by-step explanation:

To round the result of $25,625 divided by 16.5 to the nearest hundredth, you need to perform the division first and then round the quotient. Here are the steps:

1. Divide $25,625 by 16.5:

$25,625 ÷ 16.5 = 1,552.42

2. Now, round the quotient, 1,552.42, to the nearest hundredth.

The hundredths place is the second decimal place after the decimal point.

- If the third decimal place is 5 or greater, you round up the second decimal place.

- If the third decimal place is less than 5, you keep the second decimal place as it is.

In this case, the second decimal place is 4, so we keep it as it is.

Therefore, rounding $25,625 divided by 16.5 to the nearest hundredth gives us:

$25,625 ÷ 16.5 ≈ 1,552.42

So, when rounded to the nearest hundredth, $25,625 divided by 16.5 is approximately 1,552.42.

Hope this helps.

Answer:

D. -12

Step-by-step explanation:

if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

#5

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

∴ h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

∴ X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

∴ Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

∴ Z' = (-1, -2)

∴ The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

#6

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

∴ h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

∴ X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

∴ Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

∴ Z' = (8, -2)

∴ The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)