Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
Given the equqation
W = 2H + 13
where
W is the weight in lb
H is the height in inches
If the height of a person is 5 ft 6 in, we must first convert it to inches. So,
H = 5(12) + 6
H = 66 in
The body weight then is,
W = 2(66) + 13
W = 145 lbs
Answer:
3 and 9
if f(x)=x^2+13 and g(x)=12x-14
Step-by-step explanation:
So when we are looking for the intersection of two functions, we are trying to figure out when they are the same. When you think same, you should think equal (=).
So we want to find when f(x)=g(x) for x.
f(x)=g(x)

Let's get everything to one side.
Subtracting 12x and adding 14 to both sides.

I'm going to reorder the left hand side and also simplify the 13+14 part:

Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.
Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.
So the factored form of our equation is

Since the product is 0, then at least one of the factors must be 0.
So we want to solve both x-3=0 and x-9=0.
x-3=0 can be solved by adding 3 on both sides. This gives us x=3.
x-9=9 can be solved by adding 9 on both sides. This gives us x=9.
The intersection of f and g happens at x=3 or x=9.
Step-by-step explanation:
Hey there!
Please look your required answer in pictures.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>