-5x-12>6x-4
To Solve the inequality we need to get x alone
-5x-12>6x-4
first we remove -12, for that we add 12 on both sides
-5x-12+12>6x-4+12
-5x > 6x +8
Now subtract 6x from both sides
-5x -6x> 6x-6x +8
-11x > 8
Divide by -11. when we divide by -11 we flip the inequality . so > becomes <
We need to give the answer in interval notation.
x is less than -8/11 so x value starts from -8/1 and goes to -infinity(left)
So interval notation is (-∞, 
)
Answer:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.
Find the area of the cone:
Area of cone: ⅓r^2h
⅓r^2h
= ⅓(3.5)^2(7)
= ⅓(12.25)(7)
= 1/3(85.75)
= 85.75/3
1/3 cup sloshed out:
(85.75/3 )/3
= 29.9 cubic cm
Answer:
$6250
Step-by-step explanation:
5000 = 80%
5000/80=62.5
62.5*100=6250
Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
