I dont know how to solve these

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

Hi! This paper is from Singapore right?

6. (a) the inequality is 45x<y (i think) which is x< (y/45)
(b) If John has 1200 dollars which is y,
x= (1200÷45) = 26.667 ~ round down to nearest number (maximum) is 26.
so the maximum tickets is 26.

You might be interested in

Chandra earns $12.75 per hour at her job. How many hours will she have to work to earn $344.25

natali 33 [55]

She gotta work 27 hours cuz 344.24/12.75

6 0

3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

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

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :