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leva [86]
3 years ago
11

This graph shows a proportional relationship.

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

9514 1404 393

Answer:

  9/8

Step-by-step explanation:

The equation of a proportional relationship is ...

  y = kx

The constant of proportionality, k, can be found from ...

  k = y/x . . . . . above equation divided by x

Using the given points, we find the constant of proportionality to be ...

  k = (3/4)/(2/3) = (3/4)(3/2) = 9/8

The constant of proportionality is 9/8.

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1,000.00 at 4.5% interest for 2 years
siniylev [52]
Each year we add 4.5% interest.
4.5% as a decimal is 0.045.
We multiply by 1.045 to add this interest.
(not 0.045, this would just be the interest and wouldn't keep the whole)

To start: $1,000
Multiply by 1.045 for the first year.
Now we have $1,045.
Multiply by 1.045 again for the second year.
Now we're at 1092.025.
We need to round up to the nearest cent...$1,092.03
4 0
3 years ago
Someone please give me the answers...And thank you
ale4655 [162]

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

6 0
3 years ago
Read 2 more answers
On the plane curve defined by the parametric equations below, what point corresponds to t= -1
Anton [14]
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.

That is:  x = 2(-1) - 1
                 = -2-1 
                = -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
 
  y = (-1)∧-3
    = -1

The point that correspond to t=-1 is (-3,-1).
6 0
2 years ago
Read 2 more answers
Algebra 2
jok3333 [9.3K]

Answer:510+510=1020

Step-by-step explanation:

7 0
3 years ago
How does multiplying a vector by a scalar value of 2x change the vector?
GalinKa [24]
Recall that the direction of a vector can be seen from its slope, namely b/a.

let's take a peek at a couple of vectors, and multiply them by a scalar of 2.

hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2

2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.

and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2

2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.

so, the vector's magnitude gets blown up, but the slope remains the same.
5 0
3 years ago
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