Answer:
If f(x)=g(x), the solution is x=-2
Step-by-step explanation:
We are given:

We need to find the solution if f(x)=g(x)
Now solving for f(x)=g(x)

If f(x)=g(x), the solution is x=-2
Let the number of hamburgers = h
Let the number of cheeseburgers = c
Now we translate the given information into equations.
"combined total of 770 [ham]burgers and cheeseburgers"
h + c = 770
<span>"there were 70 more cheeseburger sold than hamburgers"
</span><span>
</span><span>c = h + 70
</span><span>
</span><span>
</span><span>Our system of equations is
</span><span>
</span><span>
</span><span />h + c = 770
c = h + 70
The second equation is already solved for c, so we replace c of the first equation with h + 70.
h + h + 70 = 770
2h + 70 = 770
2h = 700
h = 350
Answer: 350 hamburgers were sold on Monday.
Step-by-step explanation:Create equivalent expressions in the equation that all have equal bases.
2
x
−
5
=
2
3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x
−
5
=
3
Move all terms not containing
x
to the right side of the equation.
Tap for fewer steps...
Add
5
to both sides of the equation.
x
=
3
+
5
Add
3
and
5
.
x
=
8
Answer:
Rotational Symmetry
Step-by-step explanation: It stays the same when rotated
Step-by-step explanation:
given the diameter of the circle = 16 yd
therefore the circumference of the circle is
π×d = 16π yd
or
= 16×3.14
= 50.24 yd