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Firlakuza [10]
3 years ago
7

Which relation is a function?

Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

Choice A.

Step-by-step explanation:

Every other choice has multiple of the same x-values that have different corresponding y-values.

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Find the widest range of scores that you can get on a final exam in order to receive a grade of B for the class. Using interval
Drupady [299]

Answer:

Correct choice is B

Step-by-step explanation:

Let x% be your final test score, then the average of all test scores is

\dfrac{96+77+74+x}{4}.

Since you must have an average between 80% and 89%, then

80\le \dfrac{96+77+74+x}{4}\le 89,\\ \\320\le 247+x\le 356,\\ \\73\le x\le 109.

X is measured in percent, then the greatest value of x can be 100%. You get that

73\%\le x\le 100%.

4 0
3 years ago
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The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
pishuonlain [190]
Let the height of the kiwi be x, then the height of the ostrich is 20 + 4x.
20 + 4x = 108
4x = 108 - 20 = 88
x = 88/4 = 22
The height of the kiwi is 22 inches.
6 0
3 years ago
A stem-and-leaf plot is made using the following values. Which does NOT correctly represent a line of stem and leaves from the p
charle [14.2K]

Answer:

5 | 79

Step-by-step explanation:

3 0
2 years ago
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A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r
svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, h^2 + b^2 = 16^2 = 256 \dotsc\;(1) because it is a right angle triangle.

It is given that \frac{db}{dt} = 1

Now differentiate (1) with respect to t (time) :

\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}

\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that 16 \sin{\theta} = b. When b = 8, then \theta = \arcsin{0.5} = \ang{30}.

Differentiate the above equation w.r.t t

\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}

c. The area of the triangle is given by A = 0.5\times h \times b. Differentiating w.r.t t,

\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}

Plugging in b = 8, h = 13.856, \frac{dh}{dt} = -0.588,

\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}

8 0
3 years ago
Which of the following is the correct factorization of the trinomial below? -7x^2-5x+18
ryzh [129]

Answer: C. (-7x+9)(x-2)

Step-by-step explanation:

1. Factor out the negative sign.

−(7x^2+5x−18)

2. Split the second term in 7x2+5x−18 into two terms.

−(7x^​2​​+14x−9x−18)

3, Factor out common terms in the first two terms, then in the last two terms.

−(7x(x+2)−9(x+2))

4.  Factor out the common term x+2x+2x+2.

−(x+2)(7x−9) or (-7x+9)(x-2)

8 0
3 years ago
Read 2 more answers
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