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3 years ago

If f(x)=-5^x and g(x)=-3x-2, find (f-g)(x) high school

Mathematics

1 answer:

-Dominant- [34]3 years ago

4 0

Answer:

-5^x + 3x + 2

Step-by-step explanation:

(f - g)(x) = ƒ(x) -g(x) = -5^x -(-3x -2) = -5^x + 3x + 2

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Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and 2 1/

guapka [62]

Answer:

$14.43¢

Step-by-step explanation:

We are given; $1\frac{2}{5}$ pounds, 1 pound = $4.20 and $2\frac{1}{4}$ pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $1\frac{2}{5}$ to a decimal. It is 1.4. Now we can set up a graph.

Avocados

$\frac{4.2}{1}=\frac{x}{1.4}$

Switch sides

$\frac{x}{1.4}=\frac{4.2}{1}$

Apply rule: $\frac{a}{1}=a$

$\frac{x}{1.4}=4.2$

Multiply both sides by 1.4

$\frac{1.4x}{1.4}=4.2\cdot \:1.4$

Simplify

$x=5.88$

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert $2\frac{1}{4}$ to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

$\frac{3.8}{1}=\frac{x}{2.25}$

Switch sides

$\frac{x}{2.25}=\frac{3.8}{1}$

Apply rule : $\frac{a}{1}=a$

$\frac{x}{2.25}=3.8$

Multiply both sides by 2.25

$\frac{2.25x}{2.25}=3.8\cdot \:2.25$

Simplify

$x=8.55$

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

8 0

3 years ago

The perimeter of a triangle is 34cm. What are the lengths of the sides if the first side is twice the length of the second side

dybincka [34]

Answer:

8sm, 16sm, 10sm

Step-by-step explanation:

the first side of the triangle: x

the other side of the triangle: 2x

the third side of the triangle: x+2

the perimeter of the triangle: x+2x+x+2=34

4x=32

x=8

2*8=16

8+2=10

4 0

2 years ago

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Mnenie [13.5K]

Let x be the amount of cement and y be the amount of sand. If the ratio of cement to sand for mortar is 1:3, then $\frac{x}{y} = \frac{1}{3}$ and y=3x.

So, if Sandy puts in x=7 shovels of cement, then she puts $y=3\cdot 7=21$ shovels of sand.

Answer: 21 shovels of sand.

6 0

3 years ago

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kifflom [539]

Find the reciprocal of the second fraction (flip numerator and denominator's spots) and multiply the two fractions.

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3 years ago

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