Here are three number cards.
1 answer:
Answer:
7, 7, 11 are the three numbers.
Step-by-step explanation:
<u>Given:</u>
Mode of the three numbers = 7
Range of numbers i.e. difference between the smallest and the largest number is = 4
Value of highest number card 7
As per the definition of Mode:
Mode is the number that occurs the most number of times in the given set of numbers. In other words, mode is the number whose frequency is the highest in the given set of numbers.
Here, we have three numbers and <em>mode is 7 </em>that means 7 occurs <em>at least two times </em>in the three numbers.
Also, we are given that <em>7 is not highest number</em>, plus <em>4 is the range </em>that means <em>7 occurs exactly two times </em>out of three numbers.
So, <em>two numbers are 7 and 7</em>.
<em>7 is not highest and 4 is the range, so third number = 7+4 = 11</em>
<em></em>
So, <em>the numbers on the cards are 7, 7 and 11.</em>
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Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
