Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
Four? Isn't it stated in the question? Unless I am assuming wrong.
Answer: 320 meters cubed
Step-by-step explanation: Take half of the base for the triangle(being 4 m), multiply 4 and 8 (32 m squared), and multiply 32 by 10, which results in 320 meters cubed.
Answer:
5000 dollars
Step-by-step explanation:
Let his budget be x
16% of x is 800 dollars
.16 * x = 800
Divide each side by .16
.16x/.16 = 800/.16
x=5000
His budget is 5000 dollars
X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
