Answer:
x = -175
Step-by-step explanation:
Step 1: Define
h(x) = -25
h(x) = 1/5x + 10
Step 2: Substitute and Evaluate
-25 = 1/5x + 10
-35 = 1/5x
x = -175
Basically find the eqatuions of the lines that produce the shaded reigon
so find the lines first
we notice taht they must be inequalities
the upward line is dotted so it must have > or <
ok, hum the slope seems to be -3
the y intercept is 1 so the euaiton is y_-3x+1
the blank is the inequality
ok, test a point
(0,0) is in it
0_-3(0)+1
0_1
0<1
so it is y<-3x+1
secondn line
solid line so ≤ or ≥
slope of 2
y intercept of -1
y_2x-1
(0,0) is a possible solution
test it
0_2(0)-1
0_-1
0≥-1
so the equations are
y<-3x+1 and y≥2x-1
a. the system is y<-3x+1 and y≥2x-1
b. a solution is (0,0) because it is in the shades reigon which is the intersection of the 2 inequalities
Answer:
24 hours
Step-by-step explanation:
The computation of the number of hours taken by Bobby to build the robot by himself is shown below:
Given that
Bobby could take 12 hours
Together they could build in 8 hours
So based on the above information
the number of hours taken by Bobby to build the robot by himself is
Let us assume the above line be x
So,
x = 24 hours
Angle DFB = (1/2)*[(arc CE)+(arc BD)]
Angle DFB = (1/2)*(84+38)
Angle DFB = (1/2)*122
Angle DFB = 61
(Angle DFB) + (angle DFE) = 180
angle DFE = 180 - (Angle DFB)
angle DFE = 180 - 61
angle DFE = 119 degrees
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Final Answer is choice D) 119 degrees
Answer:
The volume of cyclinder is 60 in³
Step-by-step explanation:
Using the formula of the volume of cyclinder, V = π×r²×h, where r is the radius and h is the height. Then you are able to find it by substituing the following value into the formula :
π = 3.14
r = 1.8 in
h = 5.9 in
V = 3.14×1.8²×5.9
= 60.0 in³ (3s.f)
