Answer:
x=3/4,y=5/2
Step-by-step explanation:
y=-x^2+4,y=2x+1
substitute y=-x^2+4 as y for y=2x+1
2x+1=-x^2+4, x=3/4(isolate "x")
x=3/4
substitute x=3/4 for 2x+1=-x^2+4
y=2*3/4+1
y=5/2
x=3/4, y=5/2
hope this helps!
It will be 2/42 you count out the letters in “ALGEBRA” and then you can the A’s which equal a fraction 2/7 then you subtract 1 from the numerator and the denominator which then equals 1/6. Then you multiply the fractions and get 2/42
Answer:
Ummm, so the answer is A. (-3,-2)
StepByStep Solution:
5x + 7(x+1) =-29
5x+7x+7=-29
12x=-36
x=-3
y=-3+1
y=-2
Answer:
B.24
Step-by-step explanation:
we know,
exterior angle = 360°/n(where 'n' is number of sides)
then,
15° = 360°/n
n = 360°/15°
n = 24
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
