At heart we're being asked for a line through two points,
In general the line through (a,b) and (c,d) is
Check that you understand why both (a,b) and (c,d) are on this line.
Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,
That's our answer; let's check it.
When T=40, v = (5/9)40 + (2995/9) = 355 good
When T=49, v= (5/9)49 + (2995/9) = 360 good
Answer:
6
Step-by-step explanation:
Given mixed operations there is a particular order that must be followed.
Using the order set out in the acronym PEMDAS
P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction
8 + 24 ÷ (2 × 6) - 4
= 8 + 24 ÷ 12 - 4 ← parenthesis
= 8 + 2 - 4 ← division
= 10 - 4 ← addition
= 6 ← subtraction
recall minus * minus * minus * minus * minus is minus.
Step 2 she should add 4 not subtract
= 3x(2x^2 - 4x - 5) - 6(2x^2 - 4x - 5)
= 6x^3 - 12x^2 - 15x - 12x^2 + 24x + 30
= 6x^3 - 24x^2 + 9x + 30 (answer)
