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Georgia [21]
3 years ago
6

The sum of two integers is 23 and the positive difference of the same two integers is 13. What is the product of these two integ

ers?
A) 90 B) 75
C) 46 D) 299
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

A) 90

Step-by-step explanation:

"The sum of two integers is 23" becomes

a + b = 23

"the positive difference of the same two integers is 13" becomes

a - b = 13        (difference means subtract)

Now solve the system..

a + b = 23

a - b = 13            *use addition or elimination method, since b has opposite coefficients...

2a = 36             ( we add the two equations together)

   a = 18             (divide by 2 on both sides)

Since a = 18,   18 + b = 23, gives us b = 5.     (18 + 5 = 23)

ab = (18)(5) = 90

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Which functions domain consists of all real numbers except -2?
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Answer:

option (a) f(x)= 1/x+2

Step-by-step explanation:

(a) f(x) = 1/ x+2

To find the restriction for domain , we set the denominator =0  and solve for x

x+2 =0, so x=-2

When x=-2  then denominator becomes 0 that is undefined.

So, domain is all real numbers except -2

(b) f(x)= 2x

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

(c) f(x) = 2x-2

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

f(x) = 1/ sqrt(x+2)

if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined

x+2>0, x>-2

Hence domain is all real numbers that are greater than -2

8 0
3 years ago
Debra found that 6 of the 24 students in her class own a cell phone . What is the ratio of students that own a cell phone to stu
ale4655 [162]
6:18 students in Debra's class own a cellphone. Because there are 24 people in total. Minus the people who already own cellphones. Leaving 18 without cellphones. The ratio is people who have cellphones to people who do not. 
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8 0
3 years ago
Is the collection of US museums well-defined and therefore is not a set
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Answer:

be “well-defined” the collection description would have to settle all such questions. ... All these questions indicate the statement is ambiguous, i.e., it is not clear which students are members of this collection, hence, the collection is not well-defined.

4 0
3 years ago
Four cards are drawn from a standard deck. Cards are not returned. Which is more likely:
garik1379 [7]
Probability = # of positive events / # of all possible events

As the event B restricts the number of consecutive cards that result in a positive outcome (only consecutive face cards), it means that the numerador of the formula to find the probability is smaller, while the denominator remains unchanged.

That means that the probabilty calculated for the event A is greater than the probability of the event B.

So, the answer is that the event A is more likely than event B.

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3 years ago
Find the length of side AC.
Nat2105 [25]

Answer:

45

Step-by-step explanation:

because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is  90

7 0
3 years ago
Read 2 more answers
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