Answer:
2
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.An irrational number has endless non-repeating digits to the right of the decimal point. Although irrational numbers are not often used in daily life, they do exist on the number line. In fact, between 0 and 1 on the number line, there are an infinite number of irrational numbers!
Answer:
Equivalent fraction: 45/100
Reduced fraction: 9/20
Decimal equivalent: 0.45
Step-by-step explanation:
Equivalent fraction: percentage is just out of 100. 45% is 45 out of 100, aka 45/100.
Reduced fraction is just simplifying both sides by the GCF. In this case, 5.
Decimal equivalent of a percentage is just dividing the numerator by the denominator, or taking the numerator or the percentage and placing the decimal point forward two digits.
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:
This is a geometric sequence since there is a common ratio between each term. in this cade, multiplying the previous term in the sequence by 1/4 gives the next term.
Step-by-step explanation:
