Given the system of equations below:
The first equation is y-isolated so we can substitute in the second equation.
Use the distribution property to expand in and simplify.
The another method is to divide the second equation by 2.
Arrange in the form of y = mx+b.
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Hope this helps. Let me know if you have any doubts!
Answer:
The no. of boys = 20
The no. of girls = 12
Step-by-step explanation:
Ratio of no. of boys to girls = 5 : 3
[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]
5x + 3x = 32
= 8x = 32
=x = 32÷8 = 4
5x = 5 x 4 = 20
3x = 3 x 4 = 12
Answer:
<u><em>15 cookies are chocolate</em></u>
Step-by-step explanation:
Well it's actually quite easy, just think about it this way. 20/4=5 since there's a 4 as the denominator in the fraction. Or there's many other ways to find the answer. At the end of the day, you'll get the same answer just some ways are harder especially compared to the one I did.
Since we divided 4 into 20, we know the answer to that is 5.
3/4=15 if you think about it in a certain way.
Therefore the answer is 15 since 3x5= 3/4 and both of those equal 15
<u><em>Hope this helps</em></u>
Considering that 12 is a root of the function, the value of coefficient Q is of 12.
<h3>What does it means that x is a root of a function f(x)?</h3>
It means that f(x) = 0.
In this problem, the function is given by:
f(x) = x² - 13x + q.
Since 12 is a root, we have that f(12) = 0, hence:
12² - 13 x 12 + q = 0
q - 12 = 0.
q = 12.
More can be learned about functions at brainly.com/question/25537936
#SPJ1
Answer:
p < 12 ∨ p >-12
For definition of absolute value.
