He equation: x^2 +kx+8=k

has no real solutions for x.

(a) Show that k satisfies k^2 + 4k - 32 < 0

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

there would be 162.15 calories in this cereal.

step-by-step explanation: