Answer
Domain is the values x can be.
Range is the values y can be.
1st Graph)
D: -8 < x < 3
R: 3 < y < 9
2nd Graph)
D: -4<x<4
R: -4<y<4
3rd Graph)
-Note that this graph has an open and closed circle. Which means one is open and the other is closed on the interval. I will use brackets to make it easier.
D: [-4,3)
R: (-6,2)
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
Answer: 0.122449
Step-by-step explanation:
If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.
v is 4 more tha x
v=4+x
sum is no more than 14
v+x≤14
sub 4+x for v
4+x+x≤14
4+2x≤14
minus 4 both sides
2x≤10
divide both sides by 2
x≤5
5+4=9
the neighboor's age is 5 years
and victoria is 9
Answer:760ft2
Step-by-step explanation:
Area of first triangle = 1/2bh = 1/2*8*15=60ft2
Area of second triangle = 60ft2
Area of bottom rectangle =20*15=300ft2
Area of top rectangle = 17*20=340 ft2
Total surface area =60+60+300+340
=760ft2