Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer:
minimum
Step-by-step explanation:
Given a quadratic function in vertex form
f(x) = a(x - h)² + k
• If a > 0 then f(x) is a minimum
• If a < 0 then f(x) is a maximum
f(x) = 0.25(2x - 15)² + 150 ← is in vertex form
with a = 0.25 > 0
Thus f(x) has a minimum turning point
The answer is 0.04 (I hope). Here is an explanation:
EXPLANATION:
To get the solution of the simultaneous equation, using the elimination method:
We will have the following steps:
Step 1:
Write the two equations:
Step2: Subtract the two equations:
Step 3: Simplify the expression
Step 4: Substitute x=-2 into the formula:
Therefore, the answer is
Thus,
Option B is correct
<span>16 6/9 inches < 16 16/18 inches
or
Perimeter of square clock < Perimeter of rectangular clock
First we would put convert the perimeter fractions into equivalent terms. So for the square clock, 16 6/9 inches becomes 16 12/18 inches (multiplying the fraction by 2/2). Now it is obvious that that the square clock at 16 12/18 inches has a smaller perimeter than the rectangular clock with a perimeter of 16 16/18 inches.</span>
