What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answers
Answer:
96
Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
Final answer:
The value of the given expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5 is 50.
Explanation:
The problem is asking to solve an expression for a given value of x. The given expression is 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5). We will start by substituting x = 5 into this expression.
In the first term, we substitute 5 in place of x in (x - 2) to get (5 - 2) = 3. Similarly, we substitute 5 in place of x in (x + 3) to get (5 + 3) = 8. Then, the first term becomes 4 * 3 * 8 = 96. We follow similar steps for the other two terms and calculate the values for those terms as -70 and 24 respectively. Finally, we add these three term values to arrive at the final result: "96 - 70 + 24 = 50".
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Answers
Answer:
Step-by-step explanation:
The movement of the minute hand of the clock is circular. This means that a complete movement of the minute hand of the clock is the same as the angle formed at the center of the circle. The sum of the angles at a point is 360 degrees. The minute hand travels 360 degrees in a 60 minutes. It means that the degrees travelled in a minute is
360/60 = 6 degrees
The hour hand travels 360 degrees in 60 minutes. Therefore, the angle that the hour hand travels in 1 minute is
360/6 = 6 degrees
Final answer:
The minute hand of a clock travels 6° in 1 minute. The hour hand travels 0.5° in 1 minute.
Explanation:
To answer this question, we first need to consider what a full rotation is. A complete circle, one full rotation, is 360°. The minute hand of a clock completes one full rotation, or 360°, every hour or 60 minutes.
In 1 minute, the minute hand would have covered 1/60 of a full rotation. To calculate this in degrees, we multiply 360° by 1/60, which gives us 6°. Therefore, the minute hand of a clock travels 6° in one minute.
The hour hand moves more slowly. It takes 12 hours to complete a full rotation or 360°. In 1 minute, the hour hand covers, 360° divided by (12 hours x 60 minutes), which gives us 0.5°. Therefore, the hour hand of a clock moves 0.5° in 1 minute.
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Answers
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
(drawn from a point in the
center of the octagon)?
Answers
Answer:
8
Step-by-step explanation:
a triangle for each side
Answers
Answer:
a^7
Step-by-step explanation:
Answers
Answer:
x=-3, x=1, x=3.5, and x=5
Step-by-step explanation:
Given the critical points (turning points) which represent the maximum or the minimum points, the set of points that can be tested to solve the inequality will consist of points to the right and to the left of these points. The set of points that solve the inequality will be simply the points where the graph of the function crosses the x-axis. From these information, the set of points will be as given above
Answer:
x=-3,x=1,x=3.5, and x=5
Step-by-step explanation:
4th one on edg
Answers
Answer
Explanation
is an irrational number, an irrational number is a number that contains repeating decimals or that cannot be written as a simple fraction.
The sqrt(7) part makes it irrational, so the answer is irrational.