Answer:
-86
Step-by-step explanation:
simplify each equation as much as possible
f(x)= 4x(2+9) add
4x(11) multiply
f(x)=44x
substitute given numbers into each equation
44(-2)=-88 3(4)-14= 12-14=-2
combine equations
-88-(-2)= -86 add since you are subtracting a negative number
Answer:
29400
Step-by-step explanation:
Find the LCM
4900 = 2×2×5×5×7×7
168 = 2×2×2×3×7
Pick the larger number and multiply with the factors missing from the smaller number:
4900×2×3
=29400
Answer:
252 cm^2
Step-by-step explanation:
Let x be the length
and
y be the width of rectangle
Then, the area will be:
![A=length*width\\x*y=112](https://tex.z-dn.net/?f=A%3Dlength%2Awidth%5C%5Cx%2Ay%3D112)
If the length and width are changes by a scale factor 1.5.
Then the area will be:
![Area=(1.5x)(1.5y)\\=(2.25)(x*y)](https://tex.z-dn.net/?f=Area%3D%281.5x%29%281.5y%29%5C%5C%3D%282.25%29%28x%2Ay%29)
We already know that xy=112
So the new area will be:
![Area= (2.25)(112)\\=252\ cm^{2}](https://tex.z-dn.net/?f=Area%3D%20%282.25%29%28112%29%5C%5C%3D252%5C%20cm%5E%7B2%7D)
Triangular inequality: Length of third side must be less than the sum of the lengths of the other 2 sides.
x < 18 + 29
x < 47
so Maximum length of third side is 46 units.
Also 29 < 18 + x
x > 11 so minimum length = 12
Difference = 46-11 = 35