The answer is <span>Sum of Cubes.
Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.
Let's check it out.
Sum of cubes can be expresses as:
a</span>³ + b³ = (a + b)(a² - ab + b²)
Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2
Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133
Therefore, sum of cubes is the right answer.
Answer:
C. Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Step-by-step explanation:
The two equations are in slope intercept form which is y = mx + b where m is the slope and b is the y-intercept.
In the first equation (y = -2x + 3), -2 is the slope since it is the coefficient. "b" is 3 since it is the constant of the equation.
In the second equation (y = -4x -1), -4 is the slope is the coefficient, and the y-intercept is -1 since it is the constant.
To solve the equations graphically, graph them and find the point where they intersect.
Answer:
he should have 1,600 dollars
Step-by-step explanation:
The following lab team that has an unresolved problem on their hands is team 2 in which they calculated 0.395 J/gºC since they have higher percent error compared to the other team which only has 0.390 J/gºC. So the answer would be letter B - <span>team 2: calculates 0.395 J/gºC.</span>
Answer:
Total number of flat screen sold is 3/4
Step-by-step explanation:
Let the total number of the flat screen sold be y
y = number of flat screen sold in the morning + number of the flat screen sold in the afternoon.
Number sold in the morning = 5/15
Number sold in the afternoon = 1/3
Y = 5/12 + 1/3
Find the LCM of 12 and 3
Y = (5 + 4)/12
Y = 9/12
Y = 3/4
Total number of flat screen sold is 3/4