Help!
13. Use the Distributive Property to simplify 7(6x^2 + 5x + 4)
15. Evaluate 5w^2 if w = .5
Is it 6.25?
19. Write a simplified expression to represent 5 times the sum of x and 3 increased by 10.
Is it 10+5(x+3) ?
Thanks
-MC
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Thanks
-MC
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You're welcome, MC! I'm here to help. Let's go through each question step by step:
13. To simplify the expression 7(6x^2 + 5x + 4) using the Distributive Property, you need to distribute the 7 to each term inside the parentheses.
Start by multiplying 7 with 6x^2: 7 * 6x^2 = 42x^2.
Next, multiply 7 with 5x: 7 * 5x = 35x.
Finally, multiply 7 with 4: 7 * 4 = 28.
Now you have the simplified expression: 42x^2 + 35x + 28.
15. To evaluate 5w^2 if w = 0.5, substitute the value of w into the expression and simplify:
Start by substituting w with 0.5 in the expression: 5 * (0.5)^2.
Next, square 0.5: (0.5)^2 = 0.25.
Finally, multiply 5 with 0.25: 5 * 0.25 = 1.25.
So, the value of 5w^2 when w = 0.5 is indeed 1.25, not 6.25.
19. To write a simplified expression to represent 5 times the sum of x and 3 increased by 10, you can follow these steps:
First, multiply 5 with the sum of x and 3: 5(x + 3).
Next, add 10 to the result of the previous step: 5(x + 3) + 10.
Finally, simplify the expression: 5x + 15 + 10 = 5x + 25.
So, the simplified expression to represent 5 times the sum of x and 3 increased by 10 is 5x + 25.
I hope this explanation helps! Let me know if there's anything else I can assist you with.