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Fed [463]
1 year ago
7

How many solutions does the equation have? |h| − 8 = 4 no solution, one solution, two solutions

Mathematics
1 answer:
Gennadij [26K]1 year ago
5 0

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

<h3>Modulus functions</h3>

Modulus functions are functions that can either be positive or negative. Given the modulus function below;

|h| − 8 = 4

The modulus of h can both be negative and positive

If the modulus of h is positive then;

h - 8 = 4

Add 8 to both sides

h-8 + 8 = 4 + 8

h = 4 + 8

h = 12

If the value of h is negative

-h - 8 = 4

-h = 4 + 8

h =-12

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

Learn more on modulus function here: brainly.com/question/23450491

#SPJ1

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I believe it is 2 grams.

Step-by-step explanation:

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How many grams of NH3 are required to produce 4.65 g of HF
nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF  +  NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = \frac{mass}{atomic mass of 1 mole}

atomic mass of HF = 20 grams/mole

putting the values in the above equation number of moles can be found.

n = \frac{4.65}{20}

  = 0.235 moles of HF are given.

From the equation it can be said that:

1 mole of NH3 reacts to form 3 moles of HF

so, x moles of NH3 would react to form 0.235 moles of HF

\frac{3}{1} = \frac{0.235}{x}

3x = 0.235

x = \frac{0.235}{3}

x = 0.078 moles of NH3 is required.

The moles are converted to mass by applying the formula:

mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)

        putting the values in the formula

mass = 17 X 0.078

mass = 1.326 grams

8 0
3 years ago
Cassie spends 2/3 of her money on supplies. Cassie spends her remaining money on 3 sandwiches. Each sandwich costs $5.25. How mu
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In words:
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We can write the formula:

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Hope this helps!!
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Answer:

Step-by-step explanation:

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