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Alexeev081 [22]
3 years ago
11

HELP PLEASE ASAP! Tell how you found 2k + 10! 20 points!

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

2(k+5)

Step-by-step explanation:

Factor 2k+10

2k+10

=2(k+5)

Answer:

2(k+5)

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Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec
julia-pushkina [17]

Answer:

(2,6,6) \not \in \text{Span}(u,v)

(-9,-2,5)\in \text{Span}(u,v)

Step-by-step explanation:

Let b=(b_1,b_2,b_3) \in \mathbb{R}^3. We have that b\in \text{Span}\{u,v\} if and only if we can find scalars \alpha,\beta \in \mathbb{R} such that \alpha u + \beta v = b. This can be translated to the following equations:

1. -\alpha + 3 \beta = b_1

2.2\alpha+4 \beta = b_2

3. 3 \alpha +2 \beta = b_3

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for \alpha,\beta and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

-\alpha + 3 \beta = 2

2\alpha+4 \beta = 6

whose unique solutions are \alpha =1 = \beta, but note that for this values, the third equation doesn't hold (3+2 = 5 \neq 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

-\alpha + 3 \beta = -9

2\alpha+4 \beta = -2

whose unique solutions are \alpha=3, \beta=-2. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0
3 years ago
If employment is expected to increase by 14.8% between 01/2009 and 01/2016 and the employees number 19, 100 in 01/2009, how many
AlexFokin [52]

Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>

<h3>Number of employees in 2016</h3>

This can be calculated by the formula:

= Employees in 2009 x ( 1 + rate of increase)

Solving gives

= 19,100 x (1 + 14.8%)

= 21,926.8

= 21,927 people

In conclusion, there will be 21,927 people in 2016.

Find out more on rates of increase at brainly.com/question/3040628.

3 0
2 years ago
Dukes science quiz scores are 99,91,60,94,and 95 . Describe the effect of the outlier on the mean and median
lilavasa [31]
I don't know the effect, but I can tell you the outlier, mean, and the median.
Outlier: 60
Mean: 87.8
Median: 60
3 0
3 years ago
Read 2 more answers
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equa
gavmur [86]

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

8 0
3 years ago
Please help, the image is below!
AysviL [449]

Answer: Circumference =  28.27cm

4 0
3 years ago
Read 2 more answers
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