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miv72 [106K]
3 years ago
11

F(x)=8x^2-2x+3 g(x)=12x^2+4x-3 what is h(x)=f(x)-g(x)?

Mathematics
2 answers:
Trava [24]3 years ago
6 0

Answer: h(x)=-4x^2-6x+6

Step-by-step explanation:

To find the function h(x), you need to subtract the function f(x)=8x^2-2x+3 and the function g(x)=12x^2+4x-3.

h(x)=f(x)-g(x)\\h(x)=8x^2-2x+3-(12x^2+4x-3)

Distribute the negative sign:

h(x)=8x^2-2x+3-12x^2-4x+3

Now you can add the like terms:

h(x)=-4x^2-6x+6

Therefore, you get that the function h(x) is:

 h(x)=-4x^2-6x+6

Softa [21]3 years ago
6 0

Answer:

h(x) =  - 4x² - 6x + 6

Step-by-step explanation:

It is given that,

f(x) = 8x² - 2x + 3  and

g(x) = 12x² + 4x - 3

<u>To find h(x)</u>

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

h(x) = ( 8x² - 2x + 3) - (12x² + 4x - 3)

  = 8x² - 2x + 3 - 12x² - 4x + 3

  = 8x² - 12x² - 2x - 4x + 3 + 3

  = - 4x² - 6x + 6

Therefore h(x) =  - 4x² - 6x + 6

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22.3 divided by 2 + 11.15

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On a hot summer day, Jen is in a foreign country. She wonders which
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Answer: Celsius scale

Step-by-step explanation:

Fahrenheit scale is established from the freezing and boiling temperatures of water, which are:

Freezing temperature of water: 32\°F

Boiling temperature of water: 212\°F

Which means that all temperatures below 32\°F  are below the freezing temperature of water. Therefore, if Jen is in the Summer season, which is characterized by high temperatures, it is incoherent to think that the thermometer is using the Farenheit scale.

Now, 30\°C is in accordance with the high temperatures recorded in the summer season.

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8 0
3 years ago
What property is -3(m+8)=-3m-24
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Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(m+8)=−3m−24

(−3)(m)+(−3)(8)=−3m+−24(Distribute)

−3m+−24=−3m+−24

−3m−24=−3m−24

Step 2: Add 3m to both sides.

−3m−24+3m=−3m−24+3m

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

0=0

Answer:

All real numbers are solutions.

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