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Elden [556K]
3 years ago
8

Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the​ equation:h(t)=-1.5t^

2+42t+65,t seconds . How long will it take for the ball to reach​ its' peak? Round your answer to the nearest tenth. nothing
In the statement "Critical thinking requires reasoned judgments," the word reasoned mean
Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

  • 14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

<u>The vertex is calculated by vertex formula:</u>

  • x = -b/2a for the equation y = ax² + bx + c

<u>In our case t is the vertex and its value is:</u>

  • t = -42/(-1.5*2) = 42/3 = 14 seconds

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Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?
kykrilka [37]

we will select each options and find zeros

(a)

g(x)=x^2-4x-21

for finding x-intercept , we can set g(x)=0

and then we can solve for x

g(x)=x^2-4x-21=0

now, we can factor it

(x-7)(x+3)=0

we get

x=7,x=-3

so, this is TRUE

(b)

g(x)=(x-3)(x+7)

we can set it to 0

and then we can solve for x

g(x)=(x-3)(x+7)=0

we get

x=3,x=-7

so, this is FALSE

(c)

g(x)=3x^2-12x-63

we can set it to 0

and then we can solve for x

g(x)=3x^2-12x-63 =0

3(x^2-4x-21) =0

3(x-7)(x+3) =0

x=-3,x=7

so, this is TRUE

(d)

g(x)=-(x+3)(x-7)

now, we can set it to 0

and then we can solve for x

g(x)=-(x+3)(x-7)=0

x=-3,x=7

so, this is TRUE

(e)

we have

g(x)=x^2+4x-21

now, we can set it to 0

and then we can solve for x

g(x)=x^2+4x-21=0

(x+7)(x-3)=0

x=-7,x=3

so, this is FALSE

5 0
2 years ago
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Eastside middle school ​has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are the
hichkok12 [17]
480 six graders
1,500*0.32 = 480
6 0
3 years ago
Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number
natta225 [31]
(x-2)(x^2+1)=x^3+x-2x^2-2=x^3-2x^2+x-2
5 0
3 years ago
The formula for the area of a triangle is A-1bh. Solve for b.
Nady [450]

Answer:

<h2>b = <u>2A</u></h2><h2>       h</h2><h2 />

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = <u>2A</u>

      h

5 0
3 years ago
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Add.
Vikki [24]

Answer:

5/6

Step-by-step explanation:

9/30 + 16/30 = 25/30 = 5/6

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3 years ago
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