Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
Answer:
y = -x + 1
Step-by-step explanation:
(-4,5) (1,0)
Find distance through a number line.
Distance(Slope):
(5,-5)
Slope form:
y/x, Apply:
-5/5
Reduce:
-1/1 or -1
To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):
(1,0) use slope -1x to get x to zero:
= (0,1)
y-intercept: (0,1)
Now write in slope-intercept form:
y = mx + b
so,
y = -1x + 1 or y = -x + 1 or y = -1/1x + 1
Let C be the center of the circle. The measure of arc VSU is 
, so the measure of the minor arc VU is 
. The central angle VCU also has measure 
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
Answer:
Step-by-step explanation:
