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alukav5142 [94]
3 years ago
14

Factor by using the perfect-square trinomial formula. 100x^2+20x+1

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0
To factor first multily 100 and 1 and get 100

then find what 2 numbers multiply to get 100 and add to get 20

the numbers are 10 and 10

so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
Ratling [72]3 years ago
6 0
<span>since this is a perfect square problem, the answer will be in the form (ax + b) ^ 2. what can you tell from looking at the original equation? x^2 does not have a coefficient in front of it, so a = 1. the second term is negative, so b must be negative. finally, the last number 100 is the square of + or - 10, so b must be +10 or -10, but we already figured b has to be negative, so b = -10
</span>
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Dominic makes and sells salsa. The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa. His re
Elan Coil [88]

Answer:the function representing profit, P = 3n + 200

Step-by-step explanation:

The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.

The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.

Profit = revenue - cost or expenses.

Therefore,

The function representing Dominic's profit, P, for selling n jars of salsa will be

P = 5n - 2n + 200 = 3n + 200

8 0
3 years ago
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How many terms are in the expression<br><br> a3 + 3a2b - 4b - 11b + 7<br><br> 5<br> 6<br> 4<br> 7
Contact [7]

Answer:

there are 5 terms!

Step-by-step explanation:

trust me

6 0
2 years ago
A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

                                                     = 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

7 0
3 years ago
HELP!!!!!!! I WIL MAKE MARK YOU BRAINLIAST
Finger [1]

Answer:

M is 1.5

Step-by-step explanation:

Use M = 1/O

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So you use M = K/O

Substitute values

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To get K times 0.5 by 6

You get 3

So K=3

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8 0
3 years ago
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nevsk [136]

Answer:

The mean or average is 9.5 for this set of data.  The median is 10.5 and the range is 5.

4 0
3 years ago
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