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tester [92]
3 years ago
14

Please help! due today! ​

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Co-ordinates: 3,-1, 3,-5, 7,-1, 7,-5
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5.7 is increased to 7.8<br> What is the percentage of increase?
Naddika [18.5K]

Answer:

7.8%

Step-by-step explanation:

5 0
3 years ago
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What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6
Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix.  In this case p = 4.5.  Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16).  Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16.  Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0
3 years ago
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Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}
Leto [7]

Answer: f(-3) = 278, f(-4) = 232

Step-by-step explanation:

f(x) = 4x³ - 6x² - 144x + 8

f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8

f(-3) = 4(-27) - 6(9) - 144(-3) + 8

f(-3) = 278

f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8

f(-4) = 4(-64) - 6(16) - 144(-4) + 8

f(-4) = 232

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3 years ago
Expression tha have the same vaule
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I don't know if this is the answer that you are looking for, but would the answer be all solutions?
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A machine can produce 27 inches of ribbon in 3 minutes.how much ribbon can the machine produce in 1 hour produce in 1 hour?
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