Martin can run 1 mile in 7 minutes wjat do u write it in proportions

Bob has homework for 4 subjects. he is deciding what order to complete this assignments. How many options does he have?

bonufazy [111]

Answer:

16

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+36 . The object is dropped

kakasveta [241]

Check the picture below.

$\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}$

so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?

$\bf h(x)=-16x^2+36\implies \stackrel{h(x)}{0}=-16x^2+36\implies 16x^2=36 \\\\\\ x^2=\cfrac{36}{16}\implies x^2 = \cfrac{9}{4}\implies x=\sqrt{\cfrac{9}{4}}\implies x=\cfrac{\sqrt{9}}{\sqrt{4}}\implies x = \cfrac{3}{2}~~\textit{seconds}$

now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2 = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.

$\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill$

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

4 0

3 years ago

Variable expression for 3 times the sum of x and 2

Lynna [10]

3(x+2)
Remember in expressions there’s no equals sign
Hope this helps!!

6 0

3 years ago

1) Function B: x -> /5 -> +1 = y

GalinKa [24]

Answer:

Suppose f and g are two functions such that

1. (g ◦ f)(x) = x for all x in the domain of f and

2. (f ◦ g)(x) = x for all x in the domain of g

then f and g are said to be inverses of each other. The functions f and g are said to be

invertible.

. Properties of Inverse Functions: Suppose f and g are inverse functions.

• The rangea of f is the domain of g and the domain of f is the range of g

• f(a) = b if and only if g(b) = a

• (a, b) is on the graph of f if and only if (b, a) is on the graph of g

Step-by-step explanation:

7 0

3 years ago

7z/4+5x if z=8 and x=3 PLEASE HELP THIS IS DUE IN 20 MINS.

Taya2010 [7]

Answer:

29

Step-by-step explanation:

7(8)/4+5(3)

56/4+15

14+15

29

5 0

2 years ago