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3 years ago

If f(x)=3-|7+2x|, evaluate if f(-5)

Mathematics

2 answers:

rjkz [21]3 years ago

8 0

Answer:

Step-by-step explanation:

the || makes whatever number is inside it abslute so -3 becomes 3 instead

Ymorist [56]3 years ago

5 0

Answer:

$f(-5)=0$

Step-by-step explanation:

$f(x)=3-|7+2x|\\f(-5)=3-|7+2(-5)|\\f(-5)=3-|7+(-10)|\\f(-5)=3-|-3|\\f(-5)=3-3\\f(-5)=0$

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How do i do this problem

dezoksy [38]

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3 years ago

An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

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1 year ago

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Kruka [31]

Answer:

The answer is 20

Step-by-step explanation:

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3 years ago

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tekilochka [14]

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

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Total mules = number of wagons * Numbe rof mules per wagon

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2 years ago

Does anyone know 8-10?

Anon25 [30]

#8).
The volume of a cone is (1/3) (pi) (radius of the round end)² (height)

That's the volume of the ice cream cone alone.

The volume of a sphere is (4/3) (pi) (radius)³

The glob of ice cream on top is 1/2 of a sphere.
The sphere and the cone in this problem both have the same radius.

#9).
The volume of a cylinder is (pi) (radius of the round end)² (height)

#10).
Another cylinder !
The volume of a cylinder is (pi) (radius of the round end)² (height)

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3 years ago

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