Question 40 is D because from looking at the graph, its is symmetrical and the mean is the average, which usually the middle of the graph, so is the median. The median and mean would be within the 2.1-3 category because its the middle of the graph.
Question 41 is B because every pound is 16 ounces. If you multiply 16 and 12.5, you'll get 200.
Answer:
1/4
Step-by-step explanation:
<span>A) The constant is 7.5. FALSE. 7.5 is a coefficient, not a constant.
</span><span>B) The coefficients are 7.5 and -9. FALSE. The coefficients are 7.5, -1/9 and 2. 50, being a constant, could be regarded as a coefficient in this case.
</span><span>C) The variables are x and y. FALSE. There are three variables: x, y and z.
</span><span>D) The like terms are 7.5y and 2y. TRUE. The variable (y) is the same in each term.</span><span>
</span>
Answer:
ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Step-by-step explanation:
Here, assume such number = m
Now, given :
3 times the number = 3 x ( m) = 3 m
8 less than the given number = m - 8
Now, according to the question:
3 times the number > 8 less than the given number
or, 3 m > m - 8
or, 3m - m > m - 8 + m
or, 2 m > - 8
or, m > - 4
Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5