Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
The probability of picking a head and a number 4 is 0.25.
<h3>How to calculate the probability?</h3>
Your information is incomplete and the complete information wasn't found. An overview will be given.
A coin has a head and tail and the probability of choosing either is 1/2 or 0.5.
Let the 2 numbers be 1 and 4. The probability of picking either number will be 1/2 or 0.5 as well.
Here, let the probability of picking a head and a number 4 will be:
= 1/2 × 1/2
= 0.5 × 0.5
= 0.25
Learn more about probability on:
brainly.com/question/24756209
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It’s a function because it passes the vertical line test
Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C
Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8
Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)
The coordinate for point T would be (4, -11)
Answer:
Step-by-step explanation:
g(f(x)) = g(f(x)) +3(-5x +5 ) +8
= -15x + 15 + 8
= -15x + 23
