Y- intercept is (0,2.5)
X-intercept is (0,3.5)
Hope this helps
2x² + 12x + 11 - (x - 4)²
2x² + 12x + 11 - 1(x - 4)²
2x² + 12x + 11 - 1(x - 4)(x - 4)
2x² + 12x + 11 - 1(x(x - 4) - 4(x - 4))
2x² + 12x + 11 - 1(x(x) - x(4) - 4(x) + 4(4))
2x² + 12x + 11 - 1(x² - 4x - 4x + 16)
2x² + 12x + 11 - 1(x² - 8x + 16)
2x² + 12x + 11 + 1(x²) + 1(8x) - 1(16)
2x² + 12x + 11 + x² + 8x - 16
2x² + x² + 12x + 8x + 11 - 16
3x² + 20x - 5
<em> 4 1</em>
<em>u + -- = 2 ---</em>
<em> 5 3</em>
<em> 1 2 * 3 + 1 7</em>
<em>2 ---- = ---------------- = ------</em>
<em> 3 3 3</em>
<em>Now we have to do</em>
<em> 4 7</em>
<em>u + -- = ---</em>
<em> 5 3</em>
<em> 7 4 7 * 5 - 4 * 3</em>
<em>u = ------- - ----- = ------------------------ </em>
<em> 3 5 3 * 5</em>
<em> 35 - 12 23</em>
<em>u = ------------------ = ------</em>
<em> 15 15</em>
Answer:
P(both students passed the exam) = 0.61948
Step-by-step explanation:
From the given information:
P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)
= P (both are science students) + P(both are art students) + P(one from each group)
where;
P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18
P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213
P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182
P(both students passed the exam) = 0.18 + 0.1213 + 0.3182
P(both students passed the exam) = 0.61948
The distributive property states that a(b+c)=ab+ac.
In this situation, 4(x+2)= 4*x+ 4*2.
While the student multiplied 4*2 to get 8, the student did not multiply 4*x to get 4x.
