Emily could start with the quadratic equation
... (2x+5)(2x+6)=31
... 4x² +22x +30 = 31
And then subtract the right side to put it into standard form.
... 4x² +22x -1 = 0 . . . . . . corresponds to the first selection
Answer:
Step-by-step explanation:
4*(-2)-3
-8-3
-11
Answer:
The percentage change each year is 2%
Step-by-step explanation:
Generally, we can have an exponential equation written as;
f(t) = I( 1 + r)^t
where f(t) is the value at a certain time
I is the initial value at t = 0
r is the growth rate
t is the time we are looking at
Thus, we have it that;
1.02 = 1 + r
r = 1.02 -1
r = 0.02
So, let us write 0.02 as a percentage
We have this as 2/100 which is the same as 2%
The percentage change each year is 2%
Answer:
8/7 x 3/4 = 24/28= 6/7
Step-by-step explanation:
Answer:
Bill is 25 years old and Jenny is 29 years old
Step-by-step explanation:
Systems of Equations:
J = 4 + B
J + B = 54
Substitute J into the first equation.
4 + B + B = 54
Add like terms.
4 + 2B = 54
Isolate the variable.
4 + 2B = 54
-4 -4
2B = 50
2B/2 = 50/2
B = 25 years old
Plug in B into the second equation of the system.
J + B = 54
J + 25 = 54
Isolate the variable.
J + 25 = 54
-25 -25
J = 29 years old
Check your answer. Pick whatever equation in the system and plug in your answers.
J = 4 + B
29 = 4 + 25
29 = 29