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7nadin3 [17]
3 years ago
12

The functions q and r are defined as follows.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15
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PLEASE HELP
elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or \frac{a}{b}

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

\frac{17}{12} or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

\frac{4}{9}

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

\frac{7}{35}

Divide both numerator and denominator by 7 we have;

\frac{1}{5}               .....[A]

⇒ \frac{7}{35} =\frac{1}{5}

Multiply both numerator and denominator by 2 in A we get;

\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}

Similarly,

Multiply both numerator and denominator by 3 in A, we get

\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}

Therefore, 3 ratios equal to  7 over 35 are;

\frac{1}{5} or we can write it as one-fifth

\frac{2}{10} or two -tenths

\frac{3}{15} or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒\frac{21}{28}

Therefore, the ratio in simplest form is, \frac{21}{28}


6 0
3 years ago
Read 2 more answers
What is 47.2 % of 300 ?
kupik [55]
For this type of question, you just need to multiply the percentage with the number
so, the calculation would be

47.2%  x 300

47.2/100 x 300

47.2 x 3

= 141.6  


6 0
3 years ago
Read 2 more answers
Solve for z N (17+ x ) = 34x - r
BigorU [14]

Answer:

Step-by-step explanation:

N(17+x)=34x−r

17n+xn=34x-r

xn= 34x - r - 17n

xn-34x= -r - 17n

x(n-34)= -r - 17n

x= (-r - 17n)/(n-34)

7 0
3 years ago
Is a triangle with sides of length 6ft, 21 ft, 23 ft. A right triangle?
gayaneshka [121]

Answer:

No

Step-by-step explanation:

By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.

Thus, a^{2}+b^{2}=c^{2} where where a and b are the legs and c is the hypotenuse.

Let a=6ft, b=21ft and c=23ft, then

a^{2}+b^{2}=c^{2}

(6)^{2}+(21)^{2}=(23)^{2}

36+441=(23)^{2}

477=529

which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.


7 0
3 years ago
When a window is open, the temperature in a room falls 5ºF every 15 minutes. Before the window is opened, the temperature was ​
tester [92]

Answer:

Answer:(15,65) (30,60)(45,55)

Step-by-step explanation:

Sorry for that kid that did not answer

7 0
3 years ago
Read 2 more answers
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