Step-by-step explanation:
5x +2 = 182 -4x
5x+4x = 182-2
9x = 180
x = 180/9
x = 20
4y +2 = 5x +2
4y = 5x
4y = 5(20)
4y = 100
y = 100/4
y = 25
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺
The difference of the given functions is x^2 + 10
<h3>Difference of functions</h3>
Given the following functions
f(x) = 2x^2 + 3 and
g(x)=x^2-7
Take the difference
(f-g)(x) = 2x^2 + 3 - (x^2 - 7)
(f-g)(x) = 2x^2 - x^2 +3 + 7
(f-g)(x) = x^2 + 10
Hence the difference of the given functions is x^2 + 10
Learn more on difference of function here:brainly.com/question/17431959
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