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ELEN [110]
2 years ago
15

Which of the following is a key property of the quadratic parent function?

Mathematics
1 answer:
Mars2501 [29]2 years ago
6 0

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2  which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

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What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?
IRINA_888 [86]

Answer:

3\sqrt{2}

Step-by-step explanation:

For the complex number a+bi, the absolute value is \sqrt{a^2+b^2}

Given the complex number -4-\sqrt{2}i. For this complex number,

a=-4\\ \\b=-\sqrt{2},

then the absolute value is

\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}

6 0
2 years ago
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Which statement describes 4/7 x 3/5?
Nataly [62]

Answer:

0.34285714285 i think

Step-by-step explanation:

6 0
2 years ago
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Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed,
seropon [69]

Answer and Step-by-step explanation:

Data provided in the question

Mean = 1.1 hours per call =

R = Mean rate = 1.6 per eight hour day

\mu = \frac{8}{1.6} = 5 per day

Based on the above information

a. The average number of customers is

= \frac{R^2}{\mu(\mu- R)}

= \frac{1.6^2}{5(5- 1.6)}

= 151

b. The system utilization is

= \frac{R}{\mu}

= \frac{1.6}{5}

= 0.32

c. The amount of time required is

= 1 - system utilization

= 1 - 0.32

= 0.68

And, there is 8 hours per day

So, it would be

= 0.68 \times 8

= 5.44 hours

d. Now the probability of two or more customers is

= 1 - (0.68 + 0.68 \times 0.32)

= 0.1024

Therefore we simply applied the above formulas

4 0
2 years ago
Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Wh
nata0808 [166]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-3/4 + 2/5x = 7/20x - 1/2

Step 2: Subtract 7/20x on both sides

-3/4 + 1/20x = -1/2

Step 3: Add 3/4 to both sides

1/20x = 1/4

Step 4: Divide 1/20 on both sides

x = 5

6 0
2 years ago
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape
Leni [432]

Answer:

B.

Step-by-step explanation:

The double cone is a cone on top of another cone. The bottom cone has the circular base on the bottom and the tip on top. The upper cone is upside down, and the two tips touch. Since the vertical plane goes through the tips of both cones, the cross section must have a shape that  gets to a point at the middle of the height.

Answer: B. One triangle with the tip on top and an inverted triangle above it with the tips touching.

6 0
2 years ago
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