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tiny-mole [99]
3 years ago
17

What is the completely factored form of the expression 16x2 + 8x + 32?

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>
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pantera1 [17]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
An auto mechanic converts a metric part to 0.492 in. The part comes only in fractional sizes given to the nearest 64th of an inc
tatuchka [14]

Answer:

the closest part the mechanic can chose is 0.5 inch

Step-by-step explanation:

fractional sizes given to the nearest 64th of an inch = 1/64 = 0.0156

the closest size to 0.492in = 0.492 + 0.0156 = 0.5076 inches

approximately, the closest part the mechanic can chose is 0.5 inch

4 0
3 years ago
Can you explain how a table can be used to find the rate of change
serg [7]

A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.

For example, consider the table

input .... output

.. 1 ............ 3

.. 3 ........... -5

The average rate of change between these input values is

... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.

6 0
3 years ago
A box contains 10 green marbles and 11 white marbles. If the first marble chosen was a green marble, what is the probability of
Neko [114]

Answer:

11/20

Step-by-step explanation:

At the beginning, the number of marbles in the box are:

10 green marbles

11 white marbles

The first marble chosen is green, and then it is not replaced in the box. Therefore, the number of green marbles left in the box is 9.

Therefore, the total number of marbles left in the box is:

n=9+11=20

Now we want to find the probability to choose a white marble. The number of white marble is

w=11

Therefore, the probability of choosing a white marble is:

p(w)=\frac{w}{n}=\frac{11}{20}

3 0
3 years ago
In a class of pupils, 11 play the flute and piano.
Natali5045456 [20]

Answer:

The answer is 29

Step-by-step explanation:

11+10+5+3=29

5 0
3 years ago
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