Four thousand three hundred twenty-one-ten thousand l

For the equation x^2+3x+j=0 , find all the values of j such that the equation has two real number solutions. Show your work.

yKpoI14uk [10]

Use quadrratic equation discriminant
for
ax²+bx+c=0

if b²-4ac is the discriminant

if it is greater than 0, then it has 2 real number solutions
if it is equal to 0 then it has 1 real number solution
if it is less than 0 then it has 0 real number solutions

so

1x²+3x+j=0
b²-4ac=3²-4(1)(j)
9-4j
to have it have a real number solution, it must be greater than 0
9-4j>0
9>4j
9/4>j

j<9/4 is the solution area

3 0

4 years ago

a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the

Arada [10]

Complete Question

A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.

Answer:

The value of the 16th percentile is $x = 20$

The range for the middle 3 standard deviation is $10 \to 40$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 25$

The median is $m = 24$

The mode is $n = 26$

The standard deviation is $\sigma = 5$

Generally the 16th percentile is mathematically represented as

$P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/teGenerally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )$

So

$P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16$

Now from the normal distribution table the z-score of 0.16 is

z = -1

$P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )$

=> $\frac{x- 25}{5} = -1$

=> $x- 25 = -5$

=> $x = 25-5$

=> $x = 20$

The range for the middle 3 standard deviation is mathematically represented

$\mu - 3\sigma \to \mu + 3\sigma$

$25 - 3(5 ) \to 25 + 3(5 )$

$10 \to 40$

3 0

3 years ago

RATING BRAINLIST!!! 30 POINTS!!!! TWO QUESTIONS!

Likurg_2 [28]

A
h(x)=6x^2+1

B

f(t)=-16t^2+48t
Before it hit the ground eqn would be
-16t^2+48t=0
16t^2=48t
t=3
3 seconds in the air before it hit the ground

7 0

4 years ago

15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and

tia_tia [17]

The values of BMW after 2 years and 4 years according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28

Using the parameters given, we define an decreasing exponential function :

$A = A_{0} (1 - r)^{t}$

Where,

$A_{0}$ = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.

Learn more :

brainly.com/question/14355665

8 0

4 years ago

I need help once again!! Did I forget to mention that ur awesome??

Montano1993 [528]

The kite area can be calculated using the formula
a = 1/2 × d₁ × d₂
with d₁ as first diagonal and d₂ as second diagonal

From the question, we know that
d₁ = 9.5 + 9.5
d₁ = 19 in

d₂ = 7 + 12
d₂ = 19 in

Calculate the area by plugging in the numbers into the formula
a = 1/2 × d₁ × d₂
a = 1/2 × 19 × 19
a = 1/2 × 361
a = 180.5

The area of the kite is 180.5 in²
The answer is fourth answer

4 0

3 years ago