17 - 5(2x - 9) = -(-6x + 10) + 4
On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.
17 - 5(2x - 9) = (6x -10) + 4
The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.
17 - 5(2x - 9) = 6x - 6
Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.
17 - (10x - 45) = 6x - 6
After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.
62 + 10x = 6x - 6
Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.
62 + 10x = 6x - 6
-6x -6x
62 + 4x = -6
Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.
4x = -68
Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4 4
x = 17
Final Answer: x = -17
<h2>
Answer:</h2>
Correct option: B
<h2>
Step-by-step explanation:</h2>
When we say a is no more than b, we express this in a mathematical language as follows:
In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named 
, then:
We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:
From geometry, we know that the area of a triangle is given by:
Matching (1), (2) and (3):
Since the length of the base of the triangle is 
, then 
Finally, correct option is B.
Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
