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Tanzania [10]
3 years ago
13

Find the nonpermissible replacement for y in the expression y-3/y+3

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

The nonpermissible replacement of the variable y is -3

Step-by-step explanation:

The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.

The expression \dfrac{y-3}{y+3} has the denominator y+3.

This denominator cannot be equal zero, thus,

y+3\neq 0,\\ \\y\neq -3.

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false

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3 years ago
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If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF. ​
Nina [5.8K]

Answer:

122*

122 degrees

Step-by-step explanation:

m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*

Solution:

As per given data,

m∠GEF = 5m∠DEG - 13* … (i)

m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)

Substituting value of m∠GEF in (ii)

We get,

(5m ∠DEG - 13*) + m∠DEG = 149*

6m ∠DEG - 13* = 149*

6m ∠DEG = 149* + 13* = 162*

m∠DEG = * = 27*

Substituting value of m∠DEG in (i)

We get,

m∠GEF = 5(27*) - 13*

m∠GEF = 135* - 13* = 122*

7 0
3 years ago
Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kil
yaroslaw [1]

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Step-by-step explanation:

Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.

And,  the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

0.3S+0.65L \geq 4.5 ----------(1)

And,  0.25S+0.8L >6.3 --------(2)

By putting S = 10 and L = 4 in the  inequality (1),

0.3\times 10+0.65\times 4 \geq 4.5

⇒ 5.6\geq 4.5(true)

Thus, for the values  S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the  inequality (2),

0.25\times 10+0.8\times 4 >6.3

⇒ 5.7>6.3( false)

But, for the values  S = 10 and L = 4 the inequality (2) is not  followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.



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3 years ago
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