Answer:
Step-by-step explanation:
<u>Volume of the prism:</u>
- V = Bh, where B- area of base, h- height
<u>Given:</u>
<u>Volume is:</u>
<h2>Greetings!</h2>
Answer:
One number is 
and the other number is 
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x =
6x + 3y = 3
6() + 3y = 3
+ 3y = 3
3y = 3 -
3y = 
Divide both sides by 3 to get 1y:
y =
So one number is and the other number is
<h2>Hope this helps!</h2>
Answer:
5
Explanation:
Let the number equal x. Half the number is then
x
2
and the reciprocal of that is
2
x
The reciprocal of the number is
1
x
and half that is
1
2
x
then
2
x
+
1
2
x
=
1
2
4
x
+
x
2
x
2
=
1
2
10
x
=
2
x
2
2
x
2
−
10
x
=
0
2
x
(
x
−
5
)
=
0
Zero is not viable solution as its reciprocal is infinity. The answer is therefore
x
=
5
Answer:
D. All three functions have the same minimum value
Step-by-step explanation:
f(x) = -3 sin (x-pi) +2
Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value
sin has a maximum of 1
f (min) = -3(1) +2 = -1
g(x) has a minimum at x =3
g(minimum) = -1
h(x) = (x+7)^2 -1
The smallest a squared value can be is zero
= 0 -1
h(min) =-1
Answer:
The answer is -8
Step-by-step explanation:
2(-4)
2*(-4) = -8
