Find the product. 3(x + 4) (x - 5) A. 3x2 ? 20x B. 3x2 ? 11x ? 20 C. 3x2 ? 3x ? 60 D. 3x2 ? x ? 20
Answers
For this case we must find the product of the following expression:
We must apply distributive property to the terms of the first parenthesis:
Again we apply the distributive property:
ANswer:
Step 1: Distribute the 3 to x and 4
(3x + 12)(x - 5)
Step 2: FOIL (First, Outside, Inside, Last)
Multiply the first of the values in the parentheses together
(3x + 12) (x - 5)
Multiply the outside values in the parentheses together
(3x + 12)(x - 5)
-15x
Multiply the inside values of the parentheses together
(3x + 12)(x - 5)
12x
Multiply the last values of the parentheses together
(3x + 12)(x - 5)
-60
Step 3: Add all the FOIL values together
3 + (-15x) + 12x + (-60)
Step 4: Combine like terms
3 + (-15x) + 12x + (-60)
3 - 3x - 60
Hope this helped!
Related Questions
Solve for x and y: 3x+7y=22 12x+28y=88
Find the sum 93.5+8.7
3t - 7 = 5t, then 6t =
V=1/3πr^2h solve for h. Please show work.
Answers
Since you're are dividing fractions, there is a rule when dividing fractions, you have to multiply the number by the reciprocal, meaning the second fraction needs to be flipped and the divide signs will turn into a multiply sign. It will be:
51/10 times 5/32
This is the time where you simply where you can:
51/2 times 1/32
After simplifying, you times the numerator together (the top number of the fraction) and the denominator (the bottom number of the fraction).
=51/64
Part B: Explain in words how to graph the solution to the inequality on a number line. (4 points)
Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points)
Answers
Answer: Sure, I can help you with that!
Part A: To solve the inequality −6(x − 3) > 42, we first need to distribute the -6 to the expression inside the parentheses:
-6(x - 3) > 42 -6x + 18 > 42
Next, we’ll subtract 18 from both sides:
-6x > 24
Finally, we’ll divide both sides by -6. Since we’re dividing by a negative number, we need to flip the inequality sign:
x < -4
Therefore, the solution to the inequality is x < -4.
Part B: To graph the solution to this inequality on a number line, we’ll start by drawing an open circle at -4 (since x is not equal to -4). Then, we’ll draw an arrow pointing to the left of -4 to indicate that all values less than -4 are solutions to the inequality.
Part C: To find two values that would make the inequality true, we can choose any two values less than -4 and substitute them into the original inequality. For example, if we choose x = -5, then:
-6(-5 - 3) > 42 -6(-8) > 42 48 > 42
Since 48 is greater than 42, this confirms that x = -5 is a solution to the inequality. Similarly, if we choose x = -10, then:
-6(-10 - 3) > 42 -6(-13) > 42 78 > 42
Since 78 is also greater than 42, this confirms that x = -10 is also a solution to the inequality.
I hope this helps!
Answers
Answer:
3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)
--------------------------
(x + 1)(ax² + bx + c)
= ax³ + bx² + cx + ax² + bx + c
= ax³ + (a + b)x² + (b + c)x + c
--------------------------
ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d
=> a = 3
a + b = -14
b + c = -7
c = d
=> a = 3, b = -17, c = 10, d = 10
Answers
x*1.11=21386, solve for x
One landscaper charges $20 for 5 hours of work.
One landscaper’s hourly rate is $15 lower than the other landscaper’s.
Both landscapers charge the same hourly rate and the same fee per job.
Both landscapers charge the same hourly rate, but not the same fee per job.
Answers
What Casey can conclude is D. Both landscapers charge the same hourly rate, but not the same fee per job.
What Casey can conclude based on the given scenario
Both landscapers will charge the same hourly rate because we were told they each charges an hourly rate including a fee for each job.
Their fees per job cannot be the same because Casey substituted an expression for one variable while he solved for the other.
Therefore the correct option is D.
Learn more about what Casey can conclude here:brainly.com/question/2456279
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This is, the two equations are parallel and one choice is always more expensive, in the same amount, than the other, at any number of hours.
q is true
Is q p true or false?
Answers
The q p will be false if p is false and q is true after applying the conditional statement operation.
What is the converse of a statement?
A conditional statement with the antecedent and effect reversed is known as a converse statement.
It is given that:
The two conditional statements are p and q:
p is false
q is true
"p q" represents symbolically "If p then q," where p stands for the hypothesis and q for the conclusion.
If p is false and q is true then q p will be false.
Thus, the q p will be false if p is false and q is true after applying the conditional statement operation.
Learn more about the converse of a statement here:
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