Answer:
y = -x + 4
Step-by-step explanation:
Mathematically, the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from the plot, the y intercept is 4
So we have;
y = mx + 4
To get the value of m, we substitute the coordinates of any point and solve for m
we select the point; (4,0)
so;
0 = m(4) + 4
4m = 0-4
4m = -4
m = -1
so the equation of the line is;
y = -x + 4
Answer:
g = -30
Step-by-step explanation:
-15 - g/3 = -5
Add 15 to each side
-15+15 - g/3 = -5+15
-g/3=10
Multiply by -3 to each side
-g/3 * -3 = 10*-3
g = -30
Answer:
-2.6
Step-by-step explanation:
5x - 5 >/ - 18
5x >/ -13
x>/ -13/5
x>/ -2.6
Answer:
<h2>A. 4t² - 32t + 64</h2>
Step-by-step explanation:
Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:
f(t - 3) = 4(t - 3)² - 8(t - 3) + 4
<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>
f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4
f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4
f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28
f(t - 3) = 4t² - 24t + 36 - 8t + 28
f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)
f(t - 3) = 4t² - 32t + 64
