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3 years ago

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.

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3 years ago

A projectile is thrown upward so that its distance above the ground after t seconds is h =-13t2 + 390t. After how many seconds d

sertanlavr [38]

Answer:

<h3>The option C) 15 s is correct</h3><h3>Therefore the maximum height it reaches in <u>15 seconds. </u></h3>

Step-by-step explanation:

Given equation is $h =-13t^2 + 390t$

Given that a projectile is thrown upward so that its distance above the ground after t seconds is $h =-13t^2 + 390t$

<h3>To find how many seconds does it reach its maximum height:</h3>

"The standard form of a parabola's equation is expressed as :

$y=ax^2+bx+c$ .

If $a>0$ , then the parabola opens upwards;

if $a$ the parabola opens downwards."

The maximum height is the vertex of the parabola $h =-13t^2 + 390t$ which is $\frac{-b}{2a}$ .

Comparing the given equation with the standard form of parabola we get

the values of a=-13 , b=390 and c=0

The maximum height in $t=\frac{-b}{2a}$ .

Substitute the values we get

$t=-\frac{390}{2(-13)}$

$=\frac{390}{26}$

$=15$

<h3>∴ t=15 s</h3><h3>∴ The option C) 15 s is correct.</h3><h3>∴ the maximum height is the vertex of the parabola, at t reaches in 15 seconds. </h3>

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4 years ago