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3 years ago

4. Find the value of x in the equation 9 − 4x = 57. A. 16.5 B. −16.5 C. −12 D. 12

Mathematics

1 answer:

guajiro [1.7K]3 years ago

5 0

Answer:

C. −12

Step-by-step explanation:

9 − 4x = 57

Subtract 9 from each side

9-9-4x= 57-9

-4x = 48

Divide by -4 on each side

-4x/-4 = 48/-4

x = -12

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Answer:

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Step-by-step explanation:

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3 years ago

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Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}

Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

$f(A) = \{x^2 \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2 \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4] = f(A \cap B)\\$

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$A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]$

Therefore, for this case, it would be true that $f(A\cup B) = f(A)\cup f(B)$ .

(b)

1 is not a set.

(c)

To begin with

$A\cap B \subset A,B$

Therefore

$g(A\cap B) \subset g(A) \cap g(B)$

Now, given an element of $g(A) \cap g(B)$ it will belong to both sets, therefore it also belongs to $g(A\cap B)$ , and you would have that

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3 years ago

Help please!!!!! ASAP!!! Only brainliest answer gets points. No wrong answers. Only answer if you know how to do this.

FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

= a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

-.09 = -rate of decrease

rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee

Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False there were 40 pounds when we started

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True see above calculations

There were 4000 pounds of coffee in stock when the trend began.

False see above calculations

There were 40 pounds of coffee in stock when the trend began.

True see above calculations

The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

False see above calculations

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3 years ago

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77julia77 [94]

Answer:

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Step-by-step explanation:

given the area of the square = 25 m² and

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Step-by-step explanation:

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