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3 years ago

State the largest solution of (x + 3)2 - 4 = 0.

1 answer:

3 0

Hello :
(x+3)² -2² = 0
by identite : a²-b² =(a-b)(a+b)
(x+3-2)(x+3+2)= 0
(x+1)(x+5)=0
x+1=0 or x+5=0
x=-1 or x=-5
<span>the largest solution is : - 1</span>

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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.

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3 years ago

Jenny peddled her bike 11 miles in 45 minutes. If she traveled at the same speed,how far would she travel in 225 minutes?

Korolek [52]

Answer:

55 miles

Step-by-step explanation:

11 miles = 45 min

speed = distance/time

speed = 11/45

speed = 0.2444 miles/min

for 225 min, speed is same

distance = speed * time

= 11/45 * 225

=55 miles

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3 years ago

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tester [92]

Answer:

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Step-by-step explanation:

divide 4.69 by 16

this answer should give you 0.29

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Paul [167]

I believe the answer is acute. Hope this helps!!

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oee [108]

Answer is D because it adds to 180

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3 years ago