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Ber [7]
3 years ago
7

A man 50 years old has 8 sons born of equal intervals. The sum of the ages of the father and sons is 186. What is the age of the

eldest son if the youngest is 3 years old.,
Mathematics
1 answer:
Rudiy273 years ago
8 0
<span>let x be the interval, then: 186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x) 186 = 74 + 28x x = 4 Eldest son age = 3+7x = 3+28 = 31.</span>
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Which level of government relies the most on income tax?<br> a. federal<br> b. state<br> c. local
zmey [24]
A. federal, they rely on the income from local properties
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Let f(x) = -­2x ­- 7 and g(x) = ­-4x + 3. Find (f o g)(-­5)
musickatia [10]
The answer is:  [A]:  " -53 " .
_______________________________________________________
Explanation:
_______________________________________________________
Given:  

" Let f(x) = -­2x ­−<span> 7 and g(x) = ­-4x + 3.  Find (f o g)(-­5) " ;
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First, find g(-5) .   g(x) = -4x + 3.  

g(-5) = -4*(-5)  + 3 = 20 + 3 = 23 ;
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Now find f (g(-5) to get the answer; that is f(23); 
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  Find f(23).  f(x) = -2x </span>− 7 .  
 
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3 0
3 years ago
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6 0
2 years ago
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
2 years ago
12+7+5x in the expression above there are three terms- )
mina [271]
( 12 + 7) 5x = 95 so that's your answer
8 0
3 years ago
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