Answer:
i). x³ + 9x² + yz - 15
ii). -21m³np - 8p⁵q + mnp + 4mn + 100
Step-by-step explanation:
Question (38)
i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz
By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).
(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15
= x³ + 9x² + yz - 15
ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100
= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100
= -21m³np - 8p⁵q + mnp + 4mn + 100
Answer:
Use protractor to measure B
I think the measure of a is acute angle
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
<h3>How to illustrate the graph?</h3>
The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
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Complete the equivalent equation for –7x<span> – 60 = </span>x2<span> + 10</span>x.
(x<span> + 5</span>)(x<span> + 12) = 0</span>
What are the solutions of –7x<span> – 60 = </span>x2<span> + 10</span>x?
x<span> = -12 or -5</span>
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