Answer:
The numbers are 11 and 49.
Step-by-step explanation:
<em>x = 5y - 6 </em> This is just the first sentence written as an equation.
<em>x + y = 60</em> This is just the second sentence written as an equation.
<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to
<em>6y - 6 = 60</em> Collect like terms
<em>6y = 66</em> Add 6 to each side
<em>y = 11</em> Divide each side by 6
<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is
<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55
<em>x = 49</em> Subtract 6 from 55 to get 49
Another way to find or get help with an answer that will write out the problem and steps to find the answer is a free app called Photomath...
Answer:
48
Step-by-step explanation:
Given that:
![A \ score \ of \ 60 \ falls \ two \ standard \ deviations \ above \ the \ mean \\ \\ A \ score \ of \ 42 \ falls \ one \ standard \ deviation \ below \ the \ m ean](https://tex.z-dn.net/?f=A%20%20%5C%20score%20%20%5C%20of%20%5C%20%2060%20%20%5C%20falls%20%5C%20%20two%20%20%5C%20standard%20%20%20%5C%20deviations%20%5C%20%20above%20%5C%20%20the%20%5C%20mean%20%5C%5C%20%5C%5C%20A%20%5C%20%20score%20%5C%20of%20%5C%2042%20%20%5C%20falls%20%5C%20%20one%20%20%5C%20standard%20%20%5C%20deviation%20%5C%20below%20%20%5C%20the%20%5C%20m%20ean)
The interval for score = 60 - 42 = 18
If we divide it by the 3 standard deviations; the interval result into
= 18/3
= 6
So, the standard deviation is 6, and the mean = 42 + 6
= 48
The values of functions are:
a) f( x ) + g( x ) = x² + x - 3
b) f( x ) - g( x ) = x² - x - 5
c) f( x ) / g( x ) = x² - 4/ (x+ 1)
d) f( x ) * g( x ) = x³ + x² - 4x - 4
<h3>what is function?</h3>
In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = x² - 4 and g (x) = x + 1
a) f( x ) + g( x )
= x² - 4 + x+ 1
= x² + x - 3
b) f( x ) - g( x )
= x² - 4 - ( x+ 1)
= x² - 4 - x- 1
= x² - x - 5
c) f( x ) / g( x )
= x² - 4/ (x+ 1)
d) f( x ) × g( x )
= (x²- 4)( x+ 1)
= x³ + x² - 4x - 4
Learn more about function here:
brainly.com/question/12431044
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(8/9-3/9)*2/3=5/9*2/3=10/27