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lianna [129]
2 years ago
9

The cost to mail a package is $8 for the first 4 pounds and 25 cents for each additional ounce. Which of the following functions

represents the cost to mail a package if x is the number of ounces over 4 pounds?
f( x) = 32 + 0.25 x
f( x) = 0.25( x + 4)
f( x) = 0.25+ 8 x
f( x) = 8 + 0.25 x
Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

The minimum cost is $8, for up to 4 pounds.

The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds

The total cost is the sum of these two:

f(x) = 8 + 0.25x

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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

===========================================================

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

3 0
2 years ago
The product of a number and four, increased by 5.
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A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at th intersection of AB a
Goshia [24]

Answer: \overline{QC}\cong\overline{Q'C'} and \angle{ACQ} is a right angle .


Step-by-step explanation:

Given : A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.

We know that reflection creates a image equidistant from the line of reflection.

Thus,  \overline{QC}\cong\overline{Q'C'}

Also in reflection , a line drawn from the point is perpendicular to the line of reflection.

Therefore, \angle{ACQ} is a right angle


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3 years ago
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