Answer:
1. x=3
2. x=2
3. 0 i think
4. y=6
5. x=7/5
Bonus: k=6
Step-by-step explanation:
combine like terms
Answer:
y = 60 when x = 12
Step-by-step explanation:
Direct variation is
y = kx
15 = k3
Divide by 3
15/3 = k
5 =k
y = 5x
Let x = 12
y = 5*12
y = 60
The answer for the equation is 21/5 or 4.2.
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
