Answer:
Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
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The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
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<em>Additional comment</em>
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
Answer:
1
Step-by-step explanation:
You have three cookies and a bully comes and takes two. Now you are left with one cookie.
Answer:
c = 20 inches
Step-by-step explanation:
To find the sides of a right triangle, you use the Pythagorean Theorem.
a² + b² = c²
You know a and b, and you need to find c, the hypotenuse.
Plug in a and b.
(12)² + (16)² = c²
Simplify by solving the exponents.
144 + 256 = c²
Combine the constants.
400 = c²
Take the square root of both sides.
√400 = √c²
Solve the √
±20 = c
The length cannot be negative, so you can eliminate that as an option.
So, c = 20
The answer is B) 30
parenthesis first (5×-3)(-2)
5×-3= -15
-15×-2= 30
Answer:
2x^3 + 3x^2 - 11x - 6.
Step-by-step explanation:
(2x+1) (x-2) (x+3)
= (2x + 1)[x(x + 3)-2(x + 3)]
= (2x + 1)(x^2 + x - 6)
= 2x(x^2 + x - 6) + 1(x^2 + x - 6)
= 2x^3 + 2x^2 - 12x + x^2 + x - 6
= 2x^3 + 3x^2 - 11x - 6.
