What is a solution to the equation 5x + 2y = -1?

Mathematics

1 answer:

Hunter-Best [27]4 years ago

5 0

The answer to the solution of the equation 5x+2y=-1 is 1,-3)

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2. Brandi deposited $2500 in her bank account. Her account is earning 2.85% interest

gizmo_the_mogwai [7]

Answer:

$356.25 earned in interest, 2856.25 Total.

Step-by-step explanation:

2.85% of 2500 is 71.25. Multiply that by the time (5 years) and get 356.25 (this is the amount of interest earned)

add that to the original amount. (this is the amount in the account now)

5 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

Can you guys help me

vlada-n [284]

The answer is a have a great day/night !

5 0

3 years ago

What is 2/5 divided by -1/2 minus 3/2

shutvik [7]

Answer:

$- \frac{23}{10}$