The number of boys is 3/5 of the number of girls. If there are 120 children all together, how many boys are there? PLEASE HELP M
2 answers:
Answer:
There are 45 boys.
Step-by-step explanation:
The best way to easily solvethis is by making equations, see below.
Now we can subtract the secons equation from the first.
I'm also goong to multiply the equatipn by 5 to remove the fraction.
Now simplify
Now we found out there are 75 girls. Now we insert this into our second equation to find how many boys there are.
Now we know there are 45 boys.
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Answer:
y-intecept: (0,14), x-intercept: (-8,0)
Step-by-step explanation:
Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.
Now we have our y-intercept, 14
To solve for the x-intercept, all we have to do is set y to 0 and solve for x:
Therefore our x-intercept is -8.
To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).
For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)
By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and g(x)=2x-1 will be 0 and 1.
given functions are,
let us put x=0
f(0) = 1
g(0) = 1
f(0)=g(0)=1
so 0 will be a solution.
let us put x=1
f(1)= 3
g(1) = 3
f(1)=g(1)=3
so 1 will be also a solution
let us put x=2
f(2) = 9
g(2) = 5
f(2)≠g(2)
so 2 will not be solution.
x=-2 and x=-1 clearly will not be solution because,
g(-2) = negative value but f(x) cannot be negative, being an exponential function.
<h3>what is an exponential function?</h3>
Any function in form f(x)= pˣ, where p≥1, is called an exponential function.
therefore, solutions to f(x) = g(x) will be 0 and 1.
to get more about exponential function refer to:
