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Alex_Xolod [135]
3 years ago
5

If you shift the quadratic parent function, f(x) = x^2, right 10 units, what is the equation of the new function?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

If you shift function f(x) a units right you'll get f(x-a) function.

So if you have f(x) = x², you'll get f(x-10) = (x-10)² - answer B

other formulas:

a units left: f(x+a)

a units up: f(x)+a

a units down: f(x)-a

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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
The perimeter of the triangle is 30 cm.<br>The perimeter of the rectangle is also 30 cm.​
mel-nik [20]

Answer:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

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Log2x (2x^2+8x-6) =2
irinina [24]

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2x^3+8x^2-3x=0

Step-by-step explanation:

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3 years ago
Brainliest to the correct answer :)
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Answer:

Assume that the formula is true for the (k+1)term

Step-by-step explanation:

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Solve the proportion for n. 36/8 = n/4
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Answer:

N = 18

Step-by-step explanation:

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