Answer:
(4, 0)
Step-by-step explanation:
given the 2 equations
y = x - 4 → (1)
- 4x - 6y = - 16 → (2)
substitute y = x - 4 into (2)
- 4x - 6(x - 4) = - 16
- 4x - 6x + 24 = - 16
- 10x + 24 = - 16 ( subtract 24 from both sides )
- 10x = - 40 ( divide both sides by - 10 )
x = 4
substitute x = 4 into (1) for corresponding value of y
y = 4 - 4 = 0
solution is (4, 0)
Answer:
option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.
Step-by-step explanation:
we have

This is the equation of a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (0,-225)
The axis of symmetry is x=0 (y-axis)
Find the x-intercepts (values of x when the value of y is equal to zero)
For y=0

square root both sides

therefore
The graph has zeroes at x = 15 an x = -15 and it opens upward.
The sum of angles in triangle is equal to 180 degrees, so
<R =180-56-30
<R=94
Hi there!

There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that
:
⇒
:
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function
:
⇒ 
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function
by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation
:


Factor the left side

Divide both sides by 3^x

Because this equation is true,
is therefore true.
I hope this helps!
X-y=5
x times y= 84
-7 and -12