(f+g)(x) represents the sum of the two functions f(x) and g(x).
Arrange these functions vertically and add up like terms:
<span> f(x) = 3x + 10
</span><span>+g(x) = 5x - 3
-----------------------
(f+g)(x) = 8x + 7
Please note: You've typed in "</span><span>F(x) = 3x + 10x and g(x) = 5x - 3."
I doubt that F(x) actually equals 3x + 10x. Please ensure that you have copied down the original problem correctly. Come back once you've done that, so that we can finish this problem solution.</span>
Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
Answer:
7*3=21
21*2=42
42 units^3
Step-by-step explanation:
brainliest
Answer: There are 180 grape juice in the store
Step-by-step explanation:
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4
Total number of containers = 405
total ratio = 4+5 =9
The number of containers that are orange juice = 5/9 x 405
=5 x 45=225
The number of containers that are grape juice will now be = 4/9 x 405
=4 x 45= 180.