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swat32
2 years ago
15

Lilia is saving money for dance lessons. She already has $10. Each week she is going to save $5. Write an equation, in slope-int

ercept form, to represent the amount of money, y, that Lilia will save in x weeks.
Mathematics
1 answer:
katrin [286]2 years ago
4 0

The equation which represents the amount of money, y, that Lilia will save in x weeks is;

  • y =$5x + $10.

<h3>Slope-intercept form of linear equations</h3>

The slope-intercept form of linear equations usually takes the form;

  • y = mx + c

According to the information given;

  • Lilia already has $10.

Therefore, the y-intercept of the equation is; $10.

  • And since she saves $5 each week;

The slope of the equation is; $5.

By substitution, the required equation is;

  • y =$5x + $10.

Read more on slope-intercept form of equations;

brainly.com/question/1884491

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The side length of the square is a rational.

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A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v&gt;=2i-4tj^
guapka [62]

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

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B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j

B )

Acceleration a is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j

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3 years ago
A linear model is given for the data in the table: y=1.25x+2.
Fed [463]

Answer:

Option A

Step-by-step explanation:

Given that A linear model is given for the data in the table: y=1.25x+2.

Let us write observed values for each x and also the predicted values as per equation.

x            2     3        4      8    10      16    20    24    Total

y((O)      3      4        7     12   16      22   28    30

y(P)     4.5   5.75      7     12   14.5   22   27    32

DEv    1.5    1.75      0       0     1.5     0      1       2     7 75

where y(0) represents observed y or y in the table given

y(P) gives values of y predicted as per the equation 1.25x+2

Dev represents the absolute difference

Hence answer is option

A.7.75

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2 years ago
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The domain is (-3,0) U (2,4)
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