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Tanya [424]
3 years ago
11

a mans age is three years less than four times his age of his oldest daughter. let a represent the daughters age. write an expre

ssion to represent the mans age?
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Let's label the man's age "x" because it's the unknown value that we're trying to find. Remember that the daughter's age is represented y "a."

x = 4a-3 would be an expression to represent the man's age :)

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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
Solve the system of linear equations. Check your solution. y=2x-2 <br> y=2x+9
natulia [17]
2X-2=2X+9
Add 2

2X=2X+11
Subract 2X
0= 11

This has no solution to this problem
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3 years ago
Pls help i keep getting it wrong.
Oksanka [162]
Did yhu do 5 and 8 ?
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3 years ago
Analyze the results of the correlation using the given residual plot.
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Answer:

Last one

Step-by-step explanation:

7 0
2 years ago
What is 548.6814 rounded to the nearest thousandth
tankabanditka [31]
5 486 814 rounded to the nearest  thousandth so here this is 6th digit:
because 7th digit is 4 we round down:
548.6814≈548,681
 
5 0
3 years ago
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