Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
Answer:
Jed's Market
Step-by-step explanation:
Find out the cost of one candy bar for each store:
Smith's:
- 9.00 ÷ 3 = $3.00
Green's:
- 10.00 ÷ 4 = $2.50
Jed's:
- 12.00 ÷ 5 = $2.40
Wan's:
- It already tells you the price for each: $2.75
Finding the best deal:
- Look at all our costs per 1 candy bar. Which one has the smallest price?
- Because $2.40 is the smallest price, Jed's Market has the best buy.
I hope this helps!
G(4) = 3x^2 - 3x - 9
Since the g(4) would be g(x) if you didn't know the number. So, substitute all of the x's for 4.
g(4) = 3(4)^2 - 3(4) - 9
g(4) = 3(16) - 12 - 9
g(4) = 48 - 3
g(4) = 45
I hope this helps you!
Answer:
2/3 cup
Step-by-step explanation:
first you need to convert the fractions so that they have the same denominator (1/3 turns into 2/6)
then you just add up the numerators (2+2=4..... 4/6)
you can stop there or you can simplify it (4/6 turns into 2/3)
Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by <em>6</em>, it means, that N is even number (0;2;4;6 or 8).
2. <em>6</em>=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.
answer: 4.
Note also, that only 23451; 23454 and 23457 are divided by 3. Only 2345<u>4</u> is divided by 6 (2345<u>4</u>/6=3909).
