Answer: 4 hours, $160
Step-by-step explanation:
100+15x= 40x
100= 25x
4=x
4 Hours
4*40 = 160
or 100 + 15*4= 160
Factor: Trying to factor by splitting the middle term
The first term is 15a^2, its' coefficient is 15
The middle term is - 58a, its' coefficient is - 58a
The last term is "The Constant" is +48
Multiply the coefficient of the first term by the constant 15(48) = 720
Find two factors of 720, whose sum equals the coefficient of the middle term, which is -58
<span><span>-720
+
-1
=
-721 </span><span>
-360
+
-2
=
-362 </span><span>
-240
+
-3
=
-243 </span><span>
-180
+
-4
=
-184 </span><span>
-144
+
-5
=
-149 </span><span>
-120
+
-6
=
-126 </span><span>
-90
+
-8
=
-98 </span><span>
-80
+
-9
=
-89 </span><span>
-72
+
-10
=
-82 </span><span>
-60
+
-12
=
-72 </span><span>
-48
+
-15
=
-63 </span><span>
-45
+
-16
=
-61 </span><span>
-40
+
-18
=
-58
</span></span>
Factoring: 15a^2 - 58a + 48 = 0
Factor left side of equation:
(5a - 6)(3a - 8)
Set fractions equal to Zero
5a - 6 = 0 or 3a - 8 = 0
Answer : a = 6/5 = 1.200
or a = 8/3 = 2.667
Hope that helps!!!!
Answer:
4(4x + 5)
Step-by-step explanation:
4 goes into both 16 and 20.
4×4 is 16 and
4×5 is 20.
When factoring you put the nunber you factored out typically, in front. Then the remaining factor goes in a set of parenthesis.
This is like undoing distributive property.
16x + 20
= 4(4x+5)
Answer:
e= 2x-4
Step-by-step explanation:
the opposite of e is 2x-4.
A number raised<span> to a </span>negative power<span> is equal to 1 divided by the </span>number raised<span> to the same </span>power<span> but positive
</span>therefore
[-1/2]^-3-----------> [-2]^3 =-8
the answer is [-1/2]<span>^-3
</span>