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3 years ago

The equation y =

Mathematics

1 answer:

-Dominant- [34]3 years ago

6 0

Answer:

The constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The constant of proportionality k = 12

Hence, option A is true.

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How much interest is earned on $1470 at 4% for six months

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Answer:

$29.4

Step-by-step explanation:

I assume the question is based on simple interest since you didn't specify

Using simple interest

Simple interest=P×R×T

Where,

P=principal=$1470

R=interest rate=4%=0.04

T=time=6 months=0.5 year

Simple interest=P×R×T

=1470×0.04×0.5

=29.4

Interest earned=$29.4

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3 years ago

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3 years ago

Approximately what portion of the circle is shaded blue? A. 2/3 B. 2/10 C.2/5

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2 years ago

Read 2 more answers

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

Hence final answer is -0.47.

7 0

3 years ago