Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.
Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
Answer:
negative 21/9 times negative 18/7 is 6
Step-by-step explanation:
The phrase negative 21/9 times negative 18/7 can be written mathematically as

Lets first convert the fractions into decimal values
= -2.33
= -2.57
Now on simplyfying
=>
=> 5.988
=>6 (rounding off)
We will get a positive value because the multiplicative law states that the product of two negative number is positive
Hi!
<h2>
Your answer will be: <em>
180.</em></h2>
Reason being: <em>183-3=180. Also, 180+3=183.</em>
Hope this helps!
<em></em>
<em>Yours Truly,</em>
<h2><em>
</em></h2><h2><em>
~~~PicklePoppers~~~</em></h2>
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1