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3 years ago

Is a graph of a slanted line a one-to-one function? Justify your answer.

Mathematics

1 answer:

kkurt [141]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

A slanted straight line is one-to-one: It passes the "horizontal ilne test." This means that any line drawn horizontally through the given line intersects that line only once. The significance of this is that the given line/function has an inverse. y = x is one-to-one and has the inverse y = x. y = 2x is one-to-one and has the inverse y = (1/2)x.

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A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the dr

k0ka [10]

Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of $3\ \frac{2}{3}$ feet per minute. This means that the drawbridge rises $3\ \frac{2}{3}$ in a minutes.

Convert from mixed fraction to decimal number:

$3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft$

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

$time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min$ or $13\ \frac{7}{11}\ min$

7 0

3 years ago

Read 2 more answers

Mina tosses two number cubes labeled 1 to 6. What is the probability that the sum is equal to five?

coldgirl [10]

(1,4)

(4,1)

(2,3)

(3,2)

so there are 4 different combinations that equal 5

6 x 6 = 36 total possible outcomes of the dice

so they have a 4/36 reduces to 1/9 probability of equaling 5

7 0

3 years ago

Rationalize the denominator of square root of negative 36 over open parentheses 2 minus 3 i close parentheses plus open parenthe

dem82 [27]

$\frac{ \sqrt{-36} }{(2 - 3 i )+( 3 + 2 i )}= \\ = \frac{6i}{5-i}* \frac{5+i}{5+i}= \\ = \frac{30i+6i ^{2} }{25-i ^{2} } = \frac{-6+30i}{25+1}= \\ = \frac{-6+30i}{26}=$
= - 3/13 + 15/13 i

5 0

3 years ago

HELP ASAP the proportion a is to b as w is to x can correctly be expressed as

mojhsa [17]

Answer:

a is to b,

a : b

w is to x,

w : x

a is to b as w is to x,

a : b : : w : x

In fraction form,

a/b = w/x

6 0

2 years ago

For a standard normal distribution, which of the following expressions must always be equal to 1?

Firlakuza [10]

P(z ≤ -a) + P(-a ≤ z ≤ a) + P(z ≥ a) = 1 - P(z ≤ a) + [P(z ≤ a) - P(z ≤ -a)] + 1 - P(z ≤ a) = 2 - 2P(z ≤ a) + P(z ≤ a) - [1 - P(z ≤ a)] = 2 - P(z ≤ a) - 1 + P(z ≤ a) = 1

Therefore, option D is the correct answer.

6 0

3 years ago

Read 2 more answers