X^2 - 13x + 40
as you know 40 = 5 x 8 or 40 = (-5) x (-8)
since -13x has -13 as coefficient so they should be (-5) and (-8)
x^2 - 13x + 40 = (x - 5)(x - 8)
(x - 5)(x - 8)
= x ^ 2 - 5x - 8x + 40
x ^ 2 - 13x + 40
so answer
D. (x - 5)(x - 8)
Answer: The last option.
Step-by-step explanation:
1. By definition a number written in scientific notation has the following form:
Where <em>a</em> is the coefficient (which is a number between 1 and 10 but not including 10) and <em>b</em> is the exponent (It must be an integer).
2. The decimal point of the coefficient must be wrriten after the first digit.
3. Based on this information, the number shown in the last option has the decimal point after the second digit, therefore, it is not written is scientific notation.
Answer: c. -4 degrees Celsius
Step-by-step explanation:
If it rises by 17°C, then add it to the -21°C in the thermometer:
-21 + 17 = -4°C
Hope this helps!
Given two points (x₁,y₁) and (x₂,y₂), the midpoint of the segment will be:
( (x₁+x₂) / 2 , (y₁+y₂)/2 ).
In this case:
J(-3,18)
T(7,-10)
The midpoint will be:
( (-3+7)/2 , (18-10)/2 )=(4/2 , 8/2)=(2, 4).
Answer: the midpoint of segment JT is (2,4)
Answer:
As we know:
Direct variation => y = k*x, k is constant ( y/x = k = constant)
Inverse variation => y = k/x, k is constant (y*x = k = constant)
X - 1 2 5 10
Y - 6 12 30 60
Check the first 2 pair of X, Y:
(the remaining pair of value would show the same tendency)
X1 x Y1 = 1 x 6 = 6
X2 x Y2 = 2 x 12 = 24
=> X x Y is not a constant
=> Not an inverse variation.
=> B and D is incorrect
Otherwise, we have:
Y1/X1 = 6/1 = 6
Y2/X2 = 12/2 = 6
=> Y/X = 6
=> A direct variation with k = 6
=> y = 6x
=> Option C is correct
Hope this helps!
:)
