Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

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9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

just trust me

By inspection, the equation for the horizontal asymptote is y = -3.

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

Answer:

A & C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

144%

Step-by-step explanation:

There are multiple ways to do this but here's the way I used:

2.50/100 = .025

Based on this, 1% of 2.50 is 0.025.

6.10-2.50 = 3.6

3.6/0.025 = 144

Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.

Answer:

given the drawing below what is the difference between angle D and angle B​

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

because it not it

Answer:

See below:

Step-by-step explanation:

So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:

[tex]\frac{337.50}{25} = 13.50[/tex]

We now divide 810 by 13.50

[tex]\frac{810}{13.50} = 60[/tex]

We now get our answer of 60 meters!

Cheers!

If this helped you a lot be sure to mark as brainliest!

Answer:

hannah is paying 60 cents per pound or dried fruit

Step-by-step explanation:

1.5÷2.5=0.6

Answer:

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

Answer:quadrupled

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Answer:

C

Step-by-step explanation:

The given function h (x) = [x] + 4 as the greatest integer function which is the correct answer would be option (B).

The greatest integer function takes the greatest integer that is less than or equal to a specified value. The biggest integer less than or equal to a number x is expressed as ⌊x⌋. It will round off the input number to the nearest integer that is less than or equal to the number itself.

Mathematically, the greatest integer function ⌊x⌋ can be defined as follows:

⌊x⌋ = n, where n ≤ x < n + 1 and 'n' is an integer.

According to the given question,

The function is below as

⇒ h (x) = [x] + 4

Here ⌊x⌋ = 4, where 4 ≤ x < 4 + 1 and '4' is an integer.

The given function as the greatest integer function takes the greatest integer that is less than or equal to a value of 4.

Hence, the correct answer would be an option (B).

To learn more about the greatest integer function here:

https://brainly.com/question/12597124

#SPJ1

Answer:

s=42 , z=34 ,x=55

Step-by-step explanation:

48+90+s=180 [Sum of angles of a triangle]

s=42

z+115+31=180 [Sum of angles of a triangle]

z=34

Number 5,

35+90+unknown angle=180 [Sum of angles of a triangle]

Unknown angle=55

x=Unknown angle [Vertically opposite angles]

x=55

27.400

Step-by-step explanation:

187X187 = 34.969

87X87=7.569

34.969 - 7569 = 27.400

Use the identity

(a + b)² = a ² + 2ab + b ²

Then rewrite 187² as

187² = (100 + 87)² = 100² + 2•100•87 + 87²

Subtract 87² eliminates the last term from above, so we're left with

(100² + 2•100•87 + 87²) - 87²

= 100² + 2•100•87

= 10000 + 2•8700

= 10000 + 17400

= 27400

Step-by-step explanation:

Definition of temperature:

The tendency of a substance or an object to transfer heat to its surroundings.

Definition of the thermodynamic temperature:

The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water

Answer:

3/10

I think??

Answer:

The answer is 0.3

don't really have a step-by-step explanation just either look it up or do it on a calculator

Answer:

m+15=80

Step-by-step explanation:

A number plus 15 = 80

m + 15 =80

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

Got it. Hope this will help.

Answer:

gffghjjdfdgfgjgfdgj

Step-by-step explanation:

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

Answer:

I think it is B it is my guss

Answer:

1/2 of an answer is zero

Step-by-step explanation:

Answer:

1.45 x 10   {2}

Step-by-step explanation:

Answer:c?

Step-by-step explanation: i think?