Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
<u>c = 15 ft</u>
53). 100 servings / 20 people = (100/20) (svngs/ppl)
= 5 servings per person.
Each person gets 1/20 = 5% = 0.05 of the pan.
54). 100 servings / 40 people = (100/40) (svngs/ppl)
= 2.5 servings per person.
Each person gets 1/40 = 2.5% = 0.025 of the pan.
55). 100 servings / 30 people = (100/30) (svngs/ppl)
= (3 and 1/3) servings per person.
Each person gets 1/30 = (3 and 1/3) % = 0.0333... of the pan.
Answer:
Step-by-step explanation:f
(
x
)
=
x
4
−
3
,
g
(
x
)
=
4
x
2
+
2
x
−
4
(
f
+
g
)
(
x
)
Distribute the value across the operation.
f
(
x
)
+
g
(
x
)
Evaluate
f
(
x
)
.
Tap for more steps...
x
4
−
3
Evaluate
g
(
x
)
.
Tap for more steps...
4
x
2
+
2
x
−
4
Compose the result function for
f
(
x
)
+
g
(
x
)
by replacing the function designators with the actual functions.
x
4
−
3
+
(
4
x
2
+
2
x
−
4
)
Simplify.
Tap for more steps...
4
x
2
+
9
x
4
−
7
Answer:
(2x-5)(3x-2)
Step-by-step explanation:
1)When factoring quadratic equations in for ax²+bx+c you need to separate the b term in a way that the two addends you separate it by should equal a•c. Just do trial and error. In this case you should get -4 and -15. Your separated equation should be:
6x²-4x-15x+10
2)now factor out a common factor from the first two terms and one from the last two terms you should have:
2x(3x-2)-5(3x-2)
3)finally rewrite this equation into two separate factors and you have your answer.
0.4w+5.6=0.2w+10
0.4w - 0.2w= 10- 5.6
0.2w =4.4
Divide both sides by 0.2
Which would get you : w=22
