Quadratic Equation in Standard Form: ax2 + bx + c = 0.
Quadratic Equations can be factored.
Quadratic Formula: x = −b ± √(b2 − 4ac) 2a.
When the Discriminant (b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.

HOPE THIS HELPS!!!

7 0

3 years ago

A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exc

den301095 [7]

Step-by-step explanation:

Population Mean (u) = 3.50

Sample (n)= 36

Sample mean (x) = 3.60

Population standard deviation (s)= 0.40

Test statistics:

(Null hypothesis) H0: u= 3.5 (Population mean is equal to 3.5)

(Alternate hypothesis) H1: u> 3.5 (Population mean is greater than 3.5)

Z= $\frac{x-u}{\frac{s}{\sqrt{n} } }$ = $\frac{3.60-3.50}{\frac{0.4}{\sqrt{36} } }$ = $\frac{0.10}{0.067}$ = 1.5

critical value= Z0.05= 1.645 (From Z table)

Since, Z value is less than critical Z value that is Z<1.645

We cannot reject null hypothesis

So, we decide to reject that the mean GPA of graduates exceeds 3.50

3 0

3 years ago

Benjamin’s and David’s ages add up to 36 years. The sum of twice their respective ages also add up to 72 years. Find their ages

nydimaria [60]

Answer:Benjamin’s age = 30 and David’s age = 6

Explanation:

Let x be the age of Benjamin
Let y be the age of David

x + y = 36

And 2x + 2y = 72

If we plug 30 for x and 6 for y we get:

30 + 6 = 36
36 = 36

2(30) + 2(6) = 72
60 + 12 = 72
72 = 72

=

5 0

3 years ago

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