Answer:
a
Step-by-step explanation:
a)
(b)
(c)
Step-by-step explanation:
we are given
length is x+1
width is x+3
height is x-3
(a)
we can use volume formula
now, we can plug it
now, we can simplify it
(b)
we are given volume =1001
so, we can set V=1001
and then we can solve for x
now, we can factor it
(b)
we are given volume
so, we can set
and then we can solve for x
now, we can factor it
First, distribute the right side.
8*(x + 5) = 8x + 40
Then, we write the whole equation:
8x + 47 = 8x + 40
Looking at it, we can subtract 8x from both sides, so that we're left with:
47 = 40
However, we obviously know that 47 is NOT equal to 40, so there is <em>no solution</em> for this equation.
Turn 2/4 into 4/8
Because you cant halve the 5 in 5/8
Answer:
A
Step-by-step explanation:
The points seem to be clustered around a curve.
<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant.
f(x) = x^2 + 6x + 8
6^2 - 4*1*8
36 - 32 = 4
Positive, so f(x) has 2 real roots.
g(x) = x^2 + 4x + 8
4^2 - 4*1*8
16 - 32 = -16
Negative, so g(x) does not have any real roots
h(x) = x^2 – 12x + 32
-12^2 - 4*1*32
144 - 128 = 16
Positive, so h(x) has 2 real roots.
k(x) = x^2 + 4x – 1
4^2 - 4*1*(-1)
16 - (-4) = 20
Positive, so k(x) has 2 real roots.
p(x) = 5x^2 + 5x + 4
5^2 - 4*5*4
25 - 80 = -55
Negative, so p(x) does not have any real roots
t(x) = x^2 – 2x – 15
-2^2 - 4*1*(-15)
4 - (-60) = 64
Positive, so t(x) has 2 real roots.</span>
