please help. I'm kinda confused.​

Answer:

[tex](-\infty,-9)\cup(-9,\infty)[/tex]

Step-by-step explanation:

The domain of a rational function is all real numbers except for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

[tex]s(y)=\frac{7y}{y+9}[/tex]

Set the denominator to 0:

[tex]y+9=0[/tex]

Subtract 9:

[tex]y\neq-9[/tex]

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

[tex](-\infty,-9)\cup(-9,\infty)[/tex]

And we're done :)

Answer:

c. Square Root

If you want me to explain, let me know!

Answer:

The value is 4

Step-by-step explanation:

This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.

Answer: 4

Step-by-step explanation: The absolute value is how far a number is away from 0

Answer:

D

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 12 when x = 6, thus

- 12 = 6k ( divide both sides by 6 )

- 2 = k

y = - 2x ← equation of variation

When y = - 4, then

- 4 = - 2x ( divide both sides by - 2 )

2 = x → D

Answer:

  f(x) = 2x +3

Step-by-step explanation:

If we assume the first point in your table is supposed to be (-7, -11), then the function exhibits a constant slope of 2.

For example, from (x, y) = (3, 9) to (4, 11) the x-value changes by 1, but the y-value changes by 2.

The only offered answer choice with a slope (x-coefficient) of 2 is ...

  f(x) = 2x +3

Answer:

[tex]300\div b[/tex] windows

Step-by-step explanation:

We can find how many windows each building has by changing our old expression.

If we assume [tex]b[/tex] is the amount of buildings and [tex]w[/tex] is the amount of windows per building, we can make the equation:

[tex]wb = 300[/tex].

Now we want to isolate w on one side.

To do this we can divide both sides by b.

[tex]wb\div b = 300\div b\\\\w = 300\div b[/tex]

So the amount of windows per building is [tex]300 \div b[/tex].

Hope this helped!

Answer:

y = - 1/2x

Step-by-step explanation:

Answer:

2j²/5

Step-by-step explanation:

We know that j has to be squared so j², and to find 2/5's of that number we need to multiply it by 2/5.

j²×(2/5)

Now to simplify it we can multiply the j² to the numerator.

2j²/5

Answer:

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, circles and square.

we know that the pizza has a  circular profile

and the place-mat has a square profile.

Step one:

let us solve for the radius of the pizza

[tex]area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in[/tex]

Step two:

from inspection we know that the width of the place-mat is same as the diameter of the pizza

hence diameter of pizza

= 2r

=2*5

=10 in

Answer:

Step-by-step explanation:

[tex]x^3 \times y^4\\\\x = 3\\y =0 \\\\(3)^3\times 0^4\\\\3^3\times\:0^4\\\\\mathrm{Apply\:rule}\:0^a=0\\0^4=0\\\\=3^3\times\:0\\\\\mathrm{Apply\:rule}\:0\times\:a=0\\=0[/tex]

Answer:

We need to calculate [tex]x^3*y^4[/tex] for x = 3 and y = 0.

First thing we do is replacing x and y on [tex]x^3*y^4[/tex]:

[tex]3^3*0^4[/tex]

Now, we only need to solve it:

[tex]3^3*0^4[/tex] = [tex]27 * 0[/tex] = [tex]0[/tex]

Remember that [tex]3^3 = 3*3*3[/tex]

Answer:

5

Step-by-step explanation:

C(-6,5)  D (-3,1)

to find a distance between two points use the following formula:

d=√(x2-x1)²+(y2-y1)²

d=√-3-(-6)+(1-5)²

d=√(-3+6)²+(-4)²

d=√(3)²+16

d=√25

d=5

Answer:

7

Step-by-step explanation:

you had to go up 3 times on the x place to make -6 to -3

you had to go down 4 times to make 5 go to 1

so 3+4 is 7

Answer:

first week = m miles

second week = 6 miles less than triple the number of miles they ran the

first week.

Triple of the number of miles they ran the first week = 3 * m = 3m

Therefore = 3m - 6

Answer:

Ok so...

Mean: 68.76

Median: 72

Range: 85

Step-by-step explanation:

Answer:

y = 393.75

Step-by-step explanation:

Proportions:

84 ⇔ 16

y   ⇔ 75

y = 75*84/16

y = 393.75

Answer:

7

Step-by-step explanation:

4 ÷ 2 = 2

2 × 5 = 10

17 - 10 = 7

Answer:

24

Step-by-step explanation:

17 minus 5 is 12

12 times 4 is 48

48 divided by 2 is 24

yeah....

Step-by-step explanation:

A)y=8

B)k=10

5y=72-32

5y=40

y=8

1/2k+24=29

k+48=58

k=58-48

k=10

Answer:

Yeah

Step-by-step explanation:

Hope that helped

Answer:

3 or 4

Step-by-step explanation:

Answer:

6 m and 18 m

Step-by-step explanation:

There are 2 similar triangles in the diagram

lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost

Nick/ Nick's shadow/ line from end of shadow to top of Nick

Therefore the ratios of corresponding sides are equal.

Note the shadow of the lamppost = 12 + x, thus

[tex]\frac{6}{2}[/tex] = [tex]\frac{12+x}{x}[/tex] ( cross- multiply )

6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Thus

Nick's shadow is 6 m long

Lamppost's shadow is 12 + 6 = 18 m long

Answer: The axis of symmetry is x=3.

Answer:

50

Step-by-step explanation:

Given

there is 1 water station at every 0.3 KM

If there are n water stations at every 0.3 KM

then KM covered by them = n*0.3 = 0.3n

given that total KM covered is 15 km

Thus,

0.3n = 15

=> n = 15/0.3 = 50

Thus, there are 50 water stations.

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

[tex]\frac{50 - p}{6}=\frac{p-14}{6}[/tex]

Solving, you get:

[tex]6*\frac{50 - p}{6}=p-14[/tex]

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

[tex]p=\frac{64}{2}[/tex]

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

So, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

When x - 0; y = 0 and When x = 80; y = 60.

This gives

[tex]m = \frac{0 - 60}{0 - 80}[/tex]

[tex]m = \frac{- 60}{- 80}[/tex]

[tex]m = \frac{3}{4}[/tex]

The formula is determine as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

When x - 0; y = 0; m = 3/4; This gives

[tex]y - 0 = \frac{3}{4}(x - 0)[/tex]

[tex]y = \frac{3}{4}(x - 0)[/tex]

Open Bracket

[tex]y = \frac{3}{4}x - 0[/tex]

[tex]y = \frac{3}{4}x[/tex]

The above is an example of a linear equation.

Hence; option B answers the question

The options in this question are not given; here is the complete question:

A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?

A. Identifier

B. Categorical

C. Quantitative

D. Qualitative

The answer to this question is C. Quantitative

Explanation:

In research, a quantitative variable refers to a variable or factor that involves using numbers, percentages, and in general, quantities to be understood. Moreover, this is the opposite of qualitative variables that involve using qualities. The medical research described includes a quantitative variable because heart rate can only be measured and understood through numbers. Also, other types of variables such as qualitative or categorical are not involved because these are related to qualities rather than numbers.

Answer:f8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

n= 3 and n = -3

Step-by-step explanation:

In general

|n| = a <=> n = a or n= -a (for n and a are real numbers)

Answer:

b. none

Step-by-step explanation:

All the other answers have the number 8 in it which the equation does not have.

Answer:

no solutions

Step-by-step explanation:

−3(x + 3) = −3(x + 1) − 5

Distribute

-3x -9 = -3x -3 -5

Combine like terms

-3x -9 = -3x-8

Add 3x to each side

-9 = -8

Since this is never true, there are not solutions