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3 years ago

What is a possible equation for a function with an x-intercept of (-5,0) and a y-intercept of (0,3)?

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

The equation of a straight line is

-3 x+5 y=15

Step-by-step explanation:

Given x - intercept of (-5,0) and y- intercept is (0,3)

here (-5,0 ) point lie on x- axis and (0,3) this point lie on y- axis

we know that the x- intercept 'a' and y- intercept 'b' formula is

$\frac{x}{a} +\frac{y}{b} = 1$

so given x - intercept a =-5 and y- intercept is b= 3

now the straight line equation is $\frac{x}{-5} +\frac{y}{3} =1$

now simplify $\frac{-3 x+5 y}{15} =1$

$-3 x+5 y=15$

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3 years ago

The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func

alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

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Solution:

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$To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq 0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq 0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)$

$Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq 0\\-112 \geq 0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq 0\\80 \geq 0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq 0\\-112 \geq 0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution$