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ki77a [65]
3 years ago
10

What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16

Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation  y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

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If y=20 when x=8, whats the value of x when y=-2
lisabon 2012 [21]

Answer:

x=-4/5

Step-by-step explanation:

8/20=x/-2

simplify 8/20 into 2/5

2/5=x/-2

cross product

5*x=-2*2

5x=-4

x=-4/5

8 0
3 years ago
Lillian is sanding on this ladder. Think of the ground as 0 on a number line. The steps of the ladder are the same distance apar
Mumz [18]
5/8
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3 0
3 years ago
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A number k is greater than 3. Which of the following is true about 승 ? 1 It is between 3 3 It is equal to 1 It is greater than 1
Alekssandra [29.7K]

If the number k is greater than 3, we have the following inequality:

k>3

In order to evaluate k/3, let's divide the inequality by 3:

\begin{gathered} k>3 \\ \frac{k}{3}>\frac{3}{3} \\ \frac{k}{3}>1 \end{gathered}

So the expression k/3 is greater than 1, therefore the correct option is D.

3 0
1 year ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16+ (-16). Do
sertanlavr [38]

Answer:

Yes. Juan will break even because 16 and -16 are a zero pair. -16 is the additive inverse of 16. So the sum will be 0.

6 0
3 years ago
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