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faltersainse [42]
3 years ago
7

What does the initial amount represent on the linear equations word problems?

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

0

Step-by-step explanation:

The initial value or y-intercept is the output value when the input of a linear function is zero.

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Use parallelogram ABCD. What are the values of x and y?<br><br> x = <br> y =
Tasya [4]

Answer:

x = 17 and y = 10

Step-by-step explanation:

ABCD is a parallelogram

So AB = CD and AD = BC

so

3x - 9 = 42

3x = 51

 x = 17

and

4y - 3 = 37

4y = 40

 y = 10

Answer

x = 17 and y = 10

6 0
3 years ago
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A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]

(5,-5) = (2\cdot k, -2\cdot k)

k = \frac{5}{2}

The dilation on any point of the rectangle is:

P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]

P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

5 0
3 years ago
Which is an x-intercept of the continuous function in the
Paladinen [302]

Answer:

(-1, 0), (2, 0), (3, 0)

Step-by-step explanation:

x-intercept of a line is defined by a point where y = 0.

So the point in the form of (x, 0) will be the x-intercept of the given continuous function.

From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).

5 0
3 years ago
Which is closest to -1? -0.28, -4/5, -1/5, -0.82
faust18 [17]

Answer:

-1/5

Step-by-step explanation:


8 0
3 years ago
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Pls help me!! Will mark brainlest!!
Elodia [21]

Answer:

System of Equations:

let x be the cost of a taco

let y be the cost of a burrito

7x + 3y = 22

3x + y = 8

The cost of a taco is $1

The cost of a burrito is $5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0
3 years ago
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