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3 years ago

What is 5x-4y=-7 (-20,-8)in slope intercept form

Mathematics

1 answer:

forsale [732]3 years ago

4 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following equation:

$5x-4y = -7$

We manipulate algebraically to write the equation of the slope-intersection form:

$-4y = -7-5x\\4y = 5x + 7\\y = \frac {5} {4} x + \frac {7} {4}$

We check if the given point belongs to the equation:

$y = \frac {5} {4} (- 20) + \frac {7} {4}\\y = -25 + \frac {7} {4}\\y = \frac {-100 + 7} {4}\\y = - \frac {93} {4}$

The point does not belong to the equation.

ANswer:

$y = \frac {5} {4} x + \frac {7} {4}$

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Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years

JulsSmile [24]

If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.

6 0

3 years ago

If the simple interest on $7000 for 3 years is $1890, then what is the interest rate?

hoa [83]

Answer:

0.09 or 9%

Step-by-step explanation:

I = Prt

Given:

I = 1890

P = 7000

t = 3

Work:

I = Prt

r = I/(Pt)

r = 1890/(7000 x 3)

r = 1890/21000

r = 0.09

4 0

3 years ago

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

3 years ago

Abbey purchased a house using a fixed rate mortgage. The annual interest rate is 4.2% compounded monthly for 20 years. The mortg

Butoxors [25]

I GOT $9870.

4.2 % OF $235,000 IS $9870.

6 0

3 years ago

How many solutions exist for the system of equations graphed below?

Zinaida [17]

Answer:

one

Step-by-step explanation:

When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.

If the two lines cross once, there is only one solution.

If the two lines are on top of each other then there are infinitely many solutions.

If the two lines are parallel ( and never touch ) then there are no solutions

By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.

6 0

2 years ago

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