Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
Answer:
A bruh
Step-by-step explanation:
trust the process
Answer:
maybe 223 degrees
Step-by-step explanation:
(a) m = 
calculate the slope (m) using the ' gradient formula '
m = 
let (x₁, y₁) = (8, 9) and (x₂, y₂) = ( - 2, 4)
m =
=
= 
(b) y - 9 =
(x - 8)
the equation of a line in ' point- slope form ' is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
choose any of the 2 given points for (a, b) → (8, 9)
y - 9 =
(x - 8) → " point- slope form"
(c) y =
x + 5
the equation of a line in ' slope-intercept form ' is
y = mc + c
where m is the slope and c the y-intercept
expand and simplify the point- slope equation
y - 9 =
x - 4
y =
x - 4 + 9
y =
x + 5 → " slope- intercept form"
Well due to my calculations Tom should have gotten 311.5 dollars last week.
40×7=280
7÷2=3.5
9×3.5=31.5
31.5+280=311.5
Or You could do this
(40×7)+(3.5×9)=311.5