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3 years ago

6

Which of the following functions has a domain of LaTeX: \left[2,7\right][ 2 , 7 ] and a range of LaTeX: \left[4,9\right][ 4 , 9

]?

1 answer:

irina1246 [14]3 years ago

6 0

Dbdndndndndndbbdbdbdbddbbdbdbdbdb

You might be interested in

In a particular week, Mary

Finger [1]

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

7 0

3 years ago

Read 2 more answers

Write the following in terms of sin θ only.<br> cot θ

sveta [45]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
cos(\theta)=\pm\sqrt{1-sin^2(\theta)}\\\\
-----------------------------\\\\
cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\implies cot(\theta)=\cfrac{\pm\sqrt{1-sin^2(\theta)}}{sin(\theta)}$

6 0

2 years ago

12) Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 ho

Semenov [28]

Answer:

B. Oliver can watch TV for 1.5 hours more this week.

Step-by-step explanation:

Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 hour long and his favorite Tuesday show which was 1.5 hours long.

So he has already finished 2.5 hours of watching . He can watch only for 4 hours for the total week.

Let x be the number of more hours for which he can watch television.

Then ,

x + 1 + 1.5 = 4

x + 2.5 = 4

x = 4 - 2.5

x = 1.5 hours.

So Oliver can watch television for at most 1.5 hours for the rest of the week.

Then the correct option is B.

3 0

3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

Pablo, Sofia, and Mia got some candy eggs at a party. Pablo had three times as many eggs as Sofia, and Sofia had twice as many e

andrezito [222]

Pablo : 3(2x) = 6x
Sofia : 2x
Mia : x

Assuming x = 10
Mia : x = 10
Sofia : 2x = 2(10) = 20
Pablo : 3(2x) = 3(20) = 60

10 + 20 + 60 = 90
90/3 = 30 candy eggs per person

Pablo: 60 x 1/2 = 30
Sophia: 30-20 = 10 : 10
Mia : 30 - 10 = 20 : 20

Ratio of eggs given to sophia from pablo's set = 10/60 = 1/6
Ratio of eggs given to mia from pablo's set = 20/60 = 2/6 = 1/3

8 0

3 years ago