Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
25 Paper Clips
Step-by-step explanation:
100cm is equal to 1 meter. So to find the answer you would need to take the whole of the centimeter (100) and divide that by the paper clips length (4).
100/4 = 25
So, to form a straight line 10 meters long you would need 25 paper clips each 4cm long.
So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.
Answer:
Step-by-step explanation:
x + 13 + 4x + 2 = 180
Add the like terms,
5x + 15 = 180
Subtract 15 form both sides
5x + 15 - 15 = 180 -15
5x = 165
Divide both sides by 5
5x/5 = 16/5
x = 33
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
Hope this helps
plz like and brainy
