Answer:
-9 < x
Step-by-step explanation:
-3x - 7 < 20
+ 7 + 7
___________
-3x < 27
___ ___
-3 -3
x > -9 [Whenever you <em>divide</em><em> </em>or <em>multiply</em><em> </em>by a negative, reverse the inequality symbol.]
The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
10/5÷5/5=2/1 or 2 so all you had to do was put the numbers over each other and simplify
Answer:
x = - 4 , x = - 3
Step-by-step explanation:
- 7x = x^2 + 12
Take all terms to one side of equation.
x^2 + 7x + 12 = 0
Find which 2 numbers multiply to give 12 and add to give 7.
a × b = 12
a + b = 7
a = 4
b = 3
Split the middle term using these 2 numbers.
x^2 + 4x + 3x + 12 = 0
Factorise each pair of terms separately.
x ( x + 4 ) + 3 ( x + 4 ) = 0
Bring out common factor of ( x + 4 ) and factorise.
( x + 4 ) ( x + 3 ) = 0
Using the Null factor law, make the expressions in each pair of parentheses equal 0.
x + 4 = 0
x = - 4
AND
x + 3 = 0
x = - 3
THEREFORE:
x = - 4 , x = - 3
A1 = first term
a1 = 15
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d = common difference
d = (second term) - (first term)
d = a2 - a1
d = 9-12
d = -3
The negative common difference indicates that the terms are decreasing
Each time we subtract 3, or add -3, to get the next term.
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nth term of arithmetic sequence
an = a1 + d(n-1)
an = 15 + (-3)(n-1)
an = 15- 3n + 3
an = 18 - 3n
Answer is choice D
Vertex = (1/2,5/2) x= 1 + or - square root of 5-2y all over 2
