So again, you want to convert to decimals. 3 13/20=3.65 an 92/25= 3.68
so in order of least to greatest, you have 3 13/20, 92/25, 3.78, 3.788
10. 8x+4y=4. y=mx+b
-8x. -8x
4y=-8x+4
÷4. ÷4. ÷4
y = -2x +1
slope = -2. y-int= 1
11. slope is changing y over changing x
m = (y2 -y1)/(x2-x1) (0,-1) x1 = 0, y1=-1
(-4-(-1))/(-2-0) (-2,-4) x2 = -2, y2 = -4
(-4 + 1) / (-2)
-3/-2 = 3/2 answer is 3/2
12. b because negative cause it flip in x axis and it become flatter because of the fraction.
13. 2y =8-8x
÷2. ÷2 ÷2
y = 4 - 4x
Answer A
14. B
The property of a(b+(-b))=(b+(-b))a is called as Commutative Property of Multiplication.
The Commutative Property in mathematics is a rule that allows interchange the order of terms or factors without any change in the end result.
In multiplication, we can interchange the factors without affecting the end result of multiplication. For example, 2 x 3 = 3 x 2 = 6
In addition, we can interchange the terms without affecting the summation result. For example, 2+3 = 3+2 = 5
But Commutative Property does not apply to subtraction or division.
For example, 2-3 != 3-2
or, 2/3 != 3/2
Hence the answer to the question is Commutative Property of Multiplication.
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Answer:
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>
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Differentiate:
Let g'(x) = 0:
Solve for <em>x</em>. First, divide everything by negative seven:
Factor:
<h3>
</h3>
Zero Product Property:
Solve for each case. Hence:
Since the first solution is not within our interval, we can ignore it.
Therefore:
X+y=52
y-x=28
Solve with elimination:
2y=80
y=40
x+40=52
x=12
First Number: 12
Second number: 40