You’re trying to get the first equation to equal y so you can substitute it in the second question
2x + y = -2
subtract 2x from both sides: y = -2 - 2x
rearrange the equation : -2x -2
so the answer is C
Answer:
Step-by-step explanation:
let th numbers be x and y.
x+y=21
y=21-x
Product P=xy=x(21-x)=21 x-x^2
P'=21-2x
P'=0 gives 21-2x=0,x=21/2
P"=-2
which is less than 0 at x=21/2
so P is greatest at x=21/2
y=21-21/2=21/2
P=21/2 ×21/2=441/4=110.25
Option 1
The discriminant of given equation is 116
<em><u>Solution:</u></em>
We have to find the discriminant of given equation
<em><u>Given equation is:</u></em>

To find discriminant,


<em><u>Discriminant is given by:</u></em>

On comparing the given quadratic equation
with general quadratic equation 
a = 4
b = 6
c = -5
<em><u>Substituting in above formula,</u></em>

Thus discriminant of given equation is 116
Answer:
DEF is a right angle
Step-by-step explanation:
Answer:
x = 2, x = 8
Step-by-step explanation:
reminder that f'(x) = 
Differentiate f(x) term by term using the power rule
(a
) = na
f(x) =
x³ - 5x² + 2x + 10
f'(x) = x² - 10x + 2
Equating f'(x) to - 14
x² - 10x + 2 = - 14 ( add 14 to both sides )
x² - 10x + 16 = 0 ← in standard form
(x - 2)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 8 = 0 ⇒ x = 8