Answer: --42
Step-by-step explanation:
All that you have to do in this equation is substitute the value of x given with the x's in the expression. SO...
Expression: -4(5x+2) - 6(x-3)
Substitute: -4(5(2)+2) - 6((2)-3)
Solve: -4(10+2) - 6(-1)
-4(12) - 6(-1)
-48 +6
Answer: -42
Hope this helps!
Answer:
The value of x when f(x) equals 6 is 3/5.
Step-by-step explanation:
In order to solve this problem, we shall start by inputting what we know.
Since the problem provides you with the value of f(x), we will input the value in the given equation.
Original Equation: f(x) = 5x + 3
New Equation: 6 = 5x + 3
Now that all known values of variables have been added to the equation, we will begin to solve.
Start by subtracting both sides of the equation by 3. This step is necessary to isolate x in order to find it's value.
6 = 5x + 3
6 - 3 = 5x + 3 - 3
3 = 5x
Next, we shall divide both side of the equation by 5. This step will allow us to isolate x and finally solve its value.
3 = 5x
3/5 = 5x/5
3/5 = x
Thus, the value of x in f(x) = 5x + 3 is 3/5.
---
To be sure your answer is correct, insert the values of both f(x) and x into the equation provided and solve like so...
f(x) = 5x + 3
6 = 5(3/5) + 3
6 = 3 + 3
6 = 6 ✅
Answer:
w=2
Step-by-step explanation:
A=length times width (A=lw)
w= l-3
A=10
Substituting in, we get:
10= l(l-3)
Now, solve the equation.
10= 
-3l
-3l-10=0
(l+2) (l-5)=0 (factoring the equation)
Therefore, l= -2 or 5
Throw out the negative value because a length of rectangle will never be negative.
Now let's solve for width
Remember w=l-3
therefore
(5)-3=2
so, w=2
(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)
Answer:
A
Step-by-step explanation:
Distance covered by Amy in one hour = 1/3 x 15 miles = 5 miles
Distance covered by John in one hour = 1/5 x 30 miles = 6miles
As a result, John would jog 1 mile (6-5) farther than Amy, the answer is A
