Answer:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.
Step-by-step explanation:
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = x² + 2x + 7 → (1)
y - 7 = x → (2)
Rearrange (2) expressing y in terms of x by adding 7 to both sides
y = x + 7 → (3)
Substitute y = x + 7 into (1)
x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )
0 = x² + x ← factor out x from each term
0 = x(x + 1)
Equate each factor to zero and solve for x
x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (3) for corresponding values of y
x = 0 → y = 0 + 7 = 7
x = - 1 → y = - 1 + 7 = 6
The solutions are
(- 1, 6 ) and (0, 7 )
Answer:
2(3(5) - 4(2) = 14
Step-by-step explanation:
I used a calculator called MathPapa!
Answer:
9 is x= -3
Step-by-step explanation:
4a^2+7ab-b^2
Step-by-step explanation:
Add the first two equations together:
3a^2-ab-2b^2
+ 2a^2+5ab-3b^2
---------------------------
5a^2+4ab-5b^2
Subtract that answer from the remaining trinomial:
5a^2+4ab-5b^2
- a^2-3ab-4b^2
--------------------------
4a^2+7ab-b^2
