The number of children who wore both orange and black will be 8.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
There are 46 children going to a party. 18 will wear black costumes, 12 will wear orange costumes and some will wear both black and orange.
Then the number of children who wear costumes and black & orange. Then we have
⇒ 46 - 18 - 12
⇒ 46 - 30
⇒ 16
Half of the guests will go in costumes that are neither black nor orange. Then we have
⇒ 16 / 2
⇒ 8
Then the number of the children who orange and black will be
⇒ 16 - 8
⇒ 8
The number of children who wore both orange and black will be 8.
More about the Algebra link is given below.
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Answer:
12345678910
Step-by-step explanation:
CHARRRRRRRRR joke lang bestie
<span>A system has two linear equations in two variables. The graphs of the equations have the same slope but different y-intercepts. How many solutions does the system have?
</span><span>
A. 0</span>
They have no solutions because these two lines are parallel. They have the same slope. However, two parallel lines have no solutions because they never intersect.
Hope this helps.
Answer:
(4, -25)
Step-by-step explanation:
One way to answer this is to put the equation into vertex form.
f(x)= x^2 -8x -9 . . . . . given
Add and subtract the square of half the x-coefficient:
f(x) = x^2 -8x +(-8/2)^2 -9 -(-8/2)^2
f(x) = x^2 -8x +16 -25
f(x) = (x -4)^2 -25
Comparing this to the vertex form of a quadratic:
f(x) = a(x -h)^2 +k
we find that (h, k) = (4, -25). This is the vertex.
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<em>Alternate solution</em>
The line of symmetry for ...
f(x) = ax^2 +bx +c
is given by x = -b/(2a). For your given quadratic that line is ...
x = -(-8)/(2(1)) = 4
Evaluating f(4) gives the y-coordinate:
f(4) = 4^2 -8·4 -9 = -25
The vertex is (x, y) = (4, -25).
