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nordsb [41]
3 years ago
9

Given the function h(x) = x2 – 7x + 6, determine the average rate of change of

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(h(7) - (h(3)) / (7 - 3)

h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6

h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6

7 - 3 = 4

(6 - -6)/4 = 12/4 = 3

the average change rate in that interval is 3 (or fully 3/1).

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Montano1993 [528]

Answer:

23.607

Step-by-step explanation:

<em> Given:</em>

$65,575

9%

4 Year

4 x 9% = 0.36

65,575 x 0.36 = 23.607

<u><em>Not sure if it correct or not try my best </em></u>

5 0
2 years ago
A 180 ft long board is cut into 3 pieces. The second piece of
blagie [28]

Answer:

20 feet

Step-by-step explanation:

1st piece = x

2nd piece = 2x

3rd piece = 6x

x+2x+6x=180

9x=180

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so the first piece is 20 feet, the second is 40, and the third is 120.

6 0
3 years ago
Read 2 more answers
Consider the parabola represented by the equation -2y^2=4x
stepan [7]
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)

Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.

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5 0
3 years ago
Please prove it for me​
grigory [225]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = \frac{1}{cotx}

Consider the left side

\frac{cotA-1}{cotA+1} ← divide terms on numerator/denominator by cotA

= \frac{\frac{cotA}{cotA}-\frac{1}{cotA}  }{\frac{cotA}{cotA}+\frac{1}{cotA}  }

= \frac{1-tanA}{1+tanA}

= right side , thus proven

7 0
2 years ago
) A store is having a 30% off sale. Michelle uses the expression 0.7p and Stuart uses the expression p-0.3p. Who is using the co
Aleonysh [2.5K]

Answer:michelle

Step-by-step explanation: it is 70% of the cost since it’s 30% of the original

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3 years ago
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