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VLD [36.1K]
3 years ago
15

Identify the exponent in the following number: 2^5 A. 2 B. 5 C. 16 D. 32

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer: 5

Explanation: This type of algebraic expression is called a power.

Here, 2 represents the base and the  represents the <em>exponent</em>.

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3 years ago
If P(x)= 3x^4 - 5x^3 - 17x^2 + 13x + 6, and P(1)=0, and P(-2)=0, then the factorization of P(x) is?
liberstina [14]

Answer:

P(x) = (x - 1)(x + 2)(x - 3)(3x + 1)

Step-by-step explanation:

Since P(1) = 0 and P(- 2) = 0, then

(x - 1) and (x + 2) are factors of P(x)

(x - 1)(x + 2) = x² + x - 2 ← is also a factor of P(x)

dividing 3x^{4} - 5x³ - 17x² + 13x + 6 by x² + x - 2 gives

P(x) = (x - 1)(x + 2)(3x² - 8x - 3) = (x - 1)(x + 2)(x - 3)(3x + 1)


5 0
3 years ago
If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha
Tomtit [17]

Answer:

39.0625 ft

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.  

The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50

To find the x coordinate of the vertex, use   x = -b/(2a)

We have x = -50/[2(-16)]

               

                  x = -50/-32

             

                         x= 25/16

Now plug that into the equation to find the y value, which will be the height...

y = 50(25/16) - 16(25/16)²

    y = 1250/16 - 16(625/256)

        y = 1250/16 - 625/16

              y = 625/16

                   y = 39.0625

7 0
3 years ago
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