Answer:
(refer to graph)
Step-by-step explanation:
Hello,
s=48t-16t²
a)
s=0==>16t(3-t)=0==>t=0 or t=3
b)
s>32==>48t-16t²>32===>16(t²-3t+2)<0
Δ=9-8=1
==>16(t-1)(t-2)<0
==>1<t<2 (negative between the roots)
An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
<h3>What is an equation?</h3>
An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
- The width of the rectangular poster is W = x + 2 + 1 = x + 3.
- The length of the rectangular poster is L = x + 1 + 1 = x + 2
So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
Learn more about equations here:
brainly.com/question/1884491
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D. $43.264 is the correct answer
Answer:
The answer is (4,-2)
Step-by-step explanation:
y=x-6
3x+2y=8
3x+2(x-6)=8
3x+2x-12=8 Combine like terms
3x+2x-12+12=8+12 add 12 to both sides then combine
5x=20→ x=4
then plug it in to y=x-6→y=4-6→y=-2
