Answer:
6x-21
Step-by-step explanation:
1) draw diagram (in image)
BD=2x-21+4x
combine Like terms
6x-21
Answer:
The probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Step-by-step explanation:
The playing life of a Sunshine radio is normally distributed
Mean =
Standard deviation =
We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)
Formula:
At x = 600

Z=0

At x = 700

Z=1


Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Answer:
$3.17
Step-by-step explanation:
Take the $12.69 and divide it by the 4 kilograms and you get 3.17. (This is rounded)
The perfect square monomial and its square root are shown in options 1, 2, and 5.
- A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
- 1) 121, 11
- 11² = 121
- A perfect square monomial and its square root are represented by this equation.
- 2) 4x², 2x
- (2x)² = 4x²
- A perfect square monomial and its square root are represented by this equation.
- 3) 9x²-1, 3x-1
- (3x-1)² = 9x²- 6x +1
- This phrase does not depict a square monomial and its square root in perfect form.
- 4) 25x, 5x
- (5x)² = 25x²
- This phrase does not depict a square monomial and its square root in perfect form.
- 5) 49(x^4), 7x²
- (7x²)² = 49(x^4)
- A perfect square monomial and its square root are represented by this equation.
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The statements about the function that are true are
- The vertex of the function is at (–3,–16).
- The graph is increasing on the interval x > –3.
- The graph is positive only on the intervals where x < –7 and where x > 1.
<h3>How to interpret the graph?</h3>
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
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