Please make sure you answer with all the steps

Thanks you so much :)
apologiabiology avatar

Answers

Answer 1
Answer: the discriminant tells how many solutions and what type
b^2-4ac is that disccriminant
where you have ax^2+bx+c=0
a=3
b=-5
c=4
discriminant=(-5)^2-4(3)(4)=25-somethingbiggerthan25=negative
since it is negative, you will have 0 real solutions and 2 complex solutions (if you remember quadratic formula, the discriminat is under sqrt sign so if it is negative you get complex roots)

18. 0 real roots

19. hit the ground means height=0
set to zero and solve
0=-16t^2+25t+3
use quadratic fomrula
for equaiton ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

a=-16
b=25
c=3
x=\frac{-25+/- \sqrt{25^(2)-4(-16)(3)} }{2(1)}
x=(-25+/- √(625+192) )/(2)
x=(-25+/- √(817) )/(2)
apxos
x=1.79161 or -26.7916
since x=time, we can't have negative time so
it take 1.79161 seconds

20.
t=1
sub1 for every t
h(1)=-16(1)^2+25(1)+3
h(1)=-16+25+3
h(1)=12

12 feet


18. zero real roots
19. t=1.79161 seconds
20. 12 feet


Answer 2
Answer: 18. (i dont know this one but I know rest )Solve 3x^2-5x+4=0 by using quarartic equation ((-bV(b^2-4ac))/2a) If you put in values for a=3 b=-5 and c=4. You get no answer 

19. Solve the quaratic equation for a=-16 b=25 c=3 to get about 1.67447537 seconds for one solution. the other is in -, so that one isn't the answer.

20. when the time is 1, then you can insert the into h(t) by doing h(1)=-16*1^2 +25*1^2 +3 to get 12. that means that the balloon is at 12 feet at one second.

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How do you solve 5[2p−4(p+5)]=25 properly?

Answers

Answer:

Step-by-step explanation:

5[2p-4(p+5)]=25

or, 2p-4(p+5)=5

or, 2p-4p-20=5

or, -2p=5+20

or, -2p=25

or, 2p=-25

or, p=25/2

so, p=12.5

W={z|z is an integer and -3(less than or equal to) z<1} Rewrite W by listing its elements. Make sure to use the appropriate set notation.

Answers

W=\{z|z\in\mathbb{Z} \wedge -3\leq z\ \textless \ 1\}\n\boxed{z\in\{-3,-2,-1,0\}}

How many ways can the letters of the word ORGANISM be arranged so the third letter is G?

Answers

7!=5040
..........

Lm (51 + m) + 21² (m - 3) + 6L (m² +L) ​

Answers

Answer:

Step-by-step explanation:

Given :

l + m + n = 9

l²+ m² + n²= 31

l + m + n = 9

On squaring both sides

(l + m + n)²= 9²

(l²+m²+n²+2(lm+mn+nl) = 81

31 +2(lm+mn+nl) = 81

2(lm+mn+nl) = 81 - 31

2(lm+mn+nl) = 50

(lm+mn+nl) = 50/2

(lm+mn+nl) = 25

Hence, the value of (lm+mn+nl) = 25

Answer:

YOU GOT GOOGLE

Step-by-step explanation:

GOOGLE!!

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

Answers

Hello,

S-πr²=πl

l=(S-πr²)/π


Answer:  l = s/n – r2

Step-by-step explanation:

A quadratic equation is shown below:x2 − 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
Subtract 5 from both sides of the equation

Add 3 to both sides of the equation

Add 5 to both sides of the equation

Subtract 3 from both sides of the equation

Answers

The given quadratic equation can be represented in the form (x-p)^2 = q

by adding 3 to both sides of the equation.

What is a quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by

ax^2 + bx + c = 0

where a\neq 0.

The given quadratic equation is

x^2 - 8x + 13 = 0

Case 1: Subtract 5 from both sides of the equation

i.e.  x^2 - 8x + 13 - 5 = 0 - 5

⇒   x^2 - 8x + 8 = -5

The LHS of the above equation can not be expressed in (x-p)^2 form. Hence, it is not the correct step.

Case 2: Add 3 to both sides of the equation.

i.e. x^2 - 8x + 13 +3 = 0 + 3

⇒  x^2 - 8x + 16 = 3

⇒  x^2 - 2* x * 4 + (4)^2 =3

⇒  (x - 4)^2 = 3

The above equation is expressed in (x-p)^2 = q form where p = 4 and q = 3.

Case 3: Add 5 to both sides of the equation

i.e. x^2 - 8x + 13 + 5 = 0+5

⇒   x^2 - 8x + 18 = 5

The LHS of the above equation can not be expressed in the (x-p)^2. Hence, it is not the correct step.

Case 4: Subtract 3 from both sides of the equation

i.e. x^2 - 8x + 13 - 3 = 0-3

⇒   x^2 - 8x + 10 = -3

The LHS of the above equation can not be expressed in the (x-p)^2. Hence, it is not the correct step.

Hence, "Add 3 to both sides of the equation" is the correct step.

Learn more about quadratic equations here:

brainly.com/question/2263981?referrer=searchResults

#SPJ2

Add 3 to both sides, so you will have

x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3

And now the left side is a perfect square trinolmial: (x-4)^2.
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