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lozanna [386]
3 years ago
15

Match the sequence (term) with the correct type of sequence (definition). 2, 4, 6, 8, ... Answer 1 28, 24, 20, 16, ... Answer 2

2, 4, 8, 16, ... Answer 3 48, 24, 12, 6, ...
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

1. 28 24 20 16 I hope this helps

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Find the Surface Area of the following figure.<br><br> a. 64 <br> b . 32
vova2212 [387]

Answer:

64

Step-by-step explanation:

Surface area=2(wl+hl+hw)

w=4, h=4, l=2

2(4(2)+4(2)+(4)(4))

2(8+8+16)

2(16+16)

2(32)

64

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3 years ago
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Which statements are true about the process for adding and subtracting the rational expressions? Check all that apply. The expre
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How many cups is a gallon?
Masja [62]
16 i think is the amount of cups in a gallon :) 
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Select the coordinates of two points on the line y = -2.
GaryK [48]
Y=-2 is a horizontal line, each point which lies on this line has the y-coordinate -2.
Only in option C both points have the y-coordinate equal to -2.
The answer is C.
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3 years ago
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Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
3 years ago
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