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Vilka [71]
2 years ago
13

help fast pls .. Find the equation for g(x) by substituting the known point (1, 4) and solving for k.

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

Answer:

6=k×2

k=3

g(x)=k f(x)

g(x)=3 |x|

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What is the percent of increase from 40.6 to 81.2?
crimeas [40]

Answer:

50?

Step-by-step explanation:

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6 0
2 years ago
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
2 years ago
Please help this is due today
prisoha [69]

Answer:

x=28°

y=152°

Step-by-step explanation:

x=28°

y=152°

3 0
2 years ago
4 students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committ
Andrej [43]
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange

in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365

the answer is
1365
7 0
3 years ago
Read 2 more answers
5. Высота ромба равна 12 дм, что составляет 60% основания. Вычи-<br> сли площадь ромба
Alexandra [31]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
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