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Simora [160]
3 years ago
15

What ordered pair is the vertex of y=|x+5|-1

Mathematics
1 answer:
mart [117]3 years ago
4 0
The vertex of a linear absolute function is located at the point where the absolute function is zero.
Here |x+5|=0 => x=-5
At x=-5, y=-1.
So the ordered pair of y=|x+5|-1 is (-5,-1)
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2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best
GuDViN [60]

Answer:

200 ducks total in the pond

Step-by-step explanation:

2% of x equals 4

0.02x = 4

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6 0
3 years ago
If the mean is 298 and standard deviation is 22 what is the probability that a random sample of 42 pregnancies has a mean gestat
anyanavicka [17]

Answer:

The probability is 0.9909.

Step-by-step explanation:

Test statistic (z) = (sample mean - population mean) ÷ (sd/√n)

sample mean = 290 days

population mean = 298 days

sd = 22 days

n = 42

z = (290 - 298) ÷ (22/√42) = -8 ÷ 3.395 = -2.36

The cumulative area of the test statistic is the probability that the mean gestation period is less than 290 days. The cumulative area is 0.9909. Therefore the probability is 0.9909.

7 0
3 years ago
Read 2 more answers
If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?
salantis [7]

Answer:

The answer to your question is:  x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then,     x + 2  = - 1/x

                                  x(x + 2) = -1

                                  x² + 2x = -1

                                  x² + 2x + 1  = 0

                                 (x + 1)² = 0

                                 x + 1 = 0

                                x = -1

6 0
3 years ago
What does it mean when no metric prefix is used on a measurement
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Answer: The measurement is not multiplied by a power of 10

i hope this helped <3

5 0
3 years ago
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?
Sophie [7]
Hi there! The answer is B.

5r \leqslant 6r - 8
Subtract 6r from both sides.

- r \leqslant  - 8
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

r \geqslant 8
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!

3 0
3 years ago
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