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3 years ago

If f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)

Mathematics

1 answer:

nataly862011 [7]3 years ago

6 0

<h3>Answer: 3^x - 2x + 14</h3>

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Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14

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The number 6 is 30% of what number

alexandr402 [8]

6 and 3000 is the answer for ur question would be 3000

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3 years ago

Helen got a 7% reduction in the price of a pair jeans that are normally $32. What is the approximate percent in the price?

adoni [48]

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32 × 100%

= 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

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The percent decrease is approximately 21%.

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Learn more about Percentages:

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7 0

2 years ago

how many gallons of a 50 antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 40% antifr

Tamiku [17]

Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
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Answer: 108 gal.

3 0

3 years ago

Three sisters want to.Buy a pda for their fauther for fauthers day. The least expensive pda in the sorr isn$360. Writenand slove

zzz [600]

Answer:

$120

Step-by-step explanation:

I would like to rewrite your question for others easy to understand:

<em>"Three sisters want to Buy a pda for their father for fathers' day. The least expensive pda in the store is $360. Writen and slove an inequality to fund the least amout of money each girl would have ti contrubute if each contribute an equal amount" </em>

<em />

Let X is the the amount one girl contribute, we have 3 girls => 3X

The least expensive pda in the store is $360, so the total contributed amount must be equal or smaller than the pda cost

<=> 3X $\leq 360$