Which equation is represented by the graph below y = In x<br> y = In X+1<br> y=et<br> y = x + 1

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

Choose the equation below that represents the line that passes through the point (7, -2) and has a slope of -3

Ray Of Light [21]

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (7, - 2 ), thus

y - (- 2) = - 3(x - 7) , that is

y + 2 = - 3(x - 7) → B

3 0

3 years ago

Read 2 more answers

Find the x-intercepts, y-intercepts, and the vertex of the following equation. y=x2 – 2x – 15

sineoko [7]

X intercept : (5,0),(-3,0)
y intercept : (0,-15)
vertex: (1,-16)

i’m glad to help! mark me brainliest if i’m correct plss

6 0

3 years ago

Preston can paint 375 square feet in 3 hours. At the same rate, how long would it take him to paint 812.5 square feet?

charle [14.2K]

Answer:

6.5 hours

Step-by-step explanation:

First try to find the rate he can paint per hour

375 ÷ 3 = 125 ft^2 per hour

Then try to find how long it should take it for him to paint 812.5 sq ft

812.5 ÷ 125 = 6.5 hours

6 0

3 years ago

Devon and Roy volunteer at a community farm. On Tuesday, they were each given the same number of tomato seeds to plant, but Roy

Leto [7]

Answer:

Roy

Step-by-step explanation:

If Roy finished first the first time then he is faster at planting the seeds.

I don't know if this is correct but I think it is.

5 0

3 years ago

Read 2 more answers

Which equation is represented by the graph below y = In x y = In X+1 y=et y = x + 1