Answer:
11, 13 and 15.
Step-by-step explanation:
Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.
Applying that here, we get:
Odd number* the next odd number*the next odd number=2145
x*(x+2)*(x+4)=2145
x*(x^2+4x+2x+8)=2145
x^3+6x^2+8x=2145
By solving the polynomial, you get x=11.
Which makes our three numbers: 11, 13 and 15.
11*13*15=2145. The answer checks.
Answer:
Her first error was adding the wrong number to both sides. Instead of 4², it should be 2²
Step-by-step explanation:
When completing the square, the number that needs to be added to both sides is (b/2)²
In this problem, b is 4. So, Carly should have added 2² to both sides, but she added 4² instead.
So, her first error was adding 4² to both sides instead of 2²
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
3 × 1/10 + 6 × 1/100 + 6 × 1/1000
I'm pretty sure that's it but I'm not good at math
Answer:
See explanation for matching pairs
Step-by-step explanation:
Equations
(1)
(2)
(3)

Solutions



Required
Match equations with solutions
(1)
and
Make x the subject in: 

Substitute
in



Collect like terms


Solve for y

Recall that: 


So:

(2)
and
Make y the subject in

Substitute
in 


Collect like terms


Solve for x

Solve for y in 



So:

(3)
and 
Make y the subject in 

Substitute
in

Collect like terms


Solve for x

Solve for y in 


So:
