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mihalych1998 [28]

3 years ago

9

The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represente

d by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?

1 answer:

Leno4ka [110]3 years ago

8 0

That would be 42(x) greater than 809(x)

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otez555 [7]

Answer:

0.0355029585799?

Step-by-step explanation:

5 0

3 years ago

Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

8 0

3 years ago

What is the probability of landing on a multiple of 3 in a twenty-sided die?

scoray [572]

Answer:

1by 20

Step-by-step explanation:

no of digit by no of sides

5 0

2 years ago

A line passes throughout (-3,-2) and is perpendicular to 3x-2y=7. What is the equation of the line in slope-intercept form? A. Y

marissa [1.9K]

3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2....slope of this line is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2/3 (see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -2/3
(-3,-2).....x = -3 and y = -2
now we sub and find b, the y int
-2 = -2/3(-3) = b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur perpendicular equation is : y = -2/3x - 4 <==

6 0

3 years ago

Can someone help me with this problem?

Diano4ka-milaya [45]

Can you show the answer choices but I believe is 18

3 0

2 years ago

Read 2 more answers