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Ivenika [448]
3 years ago
6

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.

Mathematics
2 answers:
san4es73 [151]3 years ago
6 0
121.

Check: x^2+22x+121=(x+11)^2
ella [17]3 years ago
5 0

Answer: 121

Step-by-step explanation:

The formula for the square of sums is (a+b)^2=a^2+2ab+b^2.

Applying the formula, we see that the only option for b is 11 squared, or 121.

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Choose the list that shows these numbers in order from smallest to largest.
svetlana [45]

Answer:

0.3, 0.32, 0.321, 0.345

Step-by-step explanation:

The maximum number of decimals shown in the series is 3.

Therefore, let's rewrite all the numbers with three decimal places.

0.32, 0.321, 0.3, 0.345 can be written as

0.320, 0.321, 0.300, 0.345

Now, we can easily compare the numbers and we can conclude:

0.300 < 0.320 < 0.321 < 0.345

Hence, the smallest to largest order is:

0.3, 0.32, 0.321, 0.345

4 0
3 years ago
In the picture PLEASE HELP
Debora [2.8K]
I believe it's not a function because the input (x) 4 has two outputs(y), 2 and 8.
5 0
3 years ago
Can someone please help me with comparing function
Minchanka [31]
Understand that a function<span> is a rule that assigns to each input exactly one output. The graph of a </span>function<span> is the set of ordered pairs consisting of an input and the corresponding output.</span>
8 0
3 years ago
In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

5 0
2 years ago
Ben earns a salary of $120 a week plus $25 for each table he sells at
gtnhenbr [62]

Answer:

add 25 each time and count how many times you add it on

Step-by-step explanation:

and that will be your answer

7 0
2 years ago
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