What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3

Answer:it's a for sure I think

Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.

The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.

eight years ago = x - 8

Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.

Now, putting this all together gives us our first equation:

x - 8 = 6(y - 8)

We can now rewrite this equation in standard form:

x - 8 = 6y - 48 ----->

x - 6y = -48 + 8 ----->

x - 6y = -40 <----- this is our first linear equation

To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:

x + 12 = 2(y + 12)

Now, we need to rewrite this equation in standard form:

x + 12 = 2y + 24 ----->

x - 2y = 24 - 12 ----->

x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:

x - 6y = -40

x - 2y = 12

Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:

x - 6y = -40

-x + 2y = -12

Now we can add both equations together:

x - x - 6y + 2y = -40 + -12 ----->

-4y = -52

Solve for y, by dividing both sides of the equation by -4, giving us:

y = 13

So, now we know the son's age: 13

To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:

x - 6(13) = -40 ----->

x - 78 = -40 ----->

x = 78 - 40 ----->

x = 38

Therefore, Mr. Fontana is 38 years old and his son is 13 years old.

The exact values of the remaining five trigonometric functions of theta are

Since tanθ = -√3.

The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.

The next trigonometric function of θ is cotθ.

cotθ = 1/tanθ

= 1/-√3

= -1/√3.

Also, tan²θ + 1 = sec²θ

Substituting tanθ = -√3 into the equation, we have

(-√3)² + 1 = sec²θ

3 + 1 = sec²θ

sec²θ = 4

secθ = ±√4

secθ = ±2

Since θ is in the quadrant II,

secθ = -2

Also, cosθ = 1/secθ

= 1/-2

= -1/2

Also, cot²θ + 1 = cosec²θ

Substituting cotθ = -1/√3 into the equation, we have

(-1/√3)² + 1 = cosec²θ

1/3 + 1 = cosec²θ

cosec²θ = 4/3

cosecθ = ±√(4/3)

cosecθ = ±2/√3

Since θ is in the quadrant II,

cosecθ = +2/√3

Also, sinθ = 1/cosecθ

= 1/2/√3

= √3/2

So, the exact values of the remaining five trigonometric functions of theta are

Learn more about trigonometric functions here:

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BA=(3),(3),(-1) is the answer

Answer:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 7/18 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

7 is a prime number;

18 = 2 × 3^2;

gcf (7; 2 × 3^2) = 1;

Fraction: 13/36 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

13 is a prime number;

36 = 2^2 × 3^2;

gcf (13; 2^2 × 3^2) = 1;

Reduce (simplify) fractions to their simplest form, online calculator

Answer:

y = -2/5 x +1

Step-by-step explanation:

We know two points on the line (-5,3) and ( 5,-1)

We  can find the slope using the slope formula

m = ( y2-y1)/ (x2-x1)

m = ( -1 -3)/( 5- -5)

   = (-1-3)/ (-5+5)

  -4/10

 =-2/5

Using the slope intercept form of the the lint

y = mx+b  where m is the slope and b is the y intercept

y = -2/5 x+b

Using one of the point and substitute in for x and y

3 = -2/5 (-5) +b

3 = 2 +b

1 = b

y = -2/5 x +1

The equation of the line passes through the points (0, 1) and (5, -1) will be;

[tex]y = - \dfrac{2}{5}x + 1[/tex]

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 1) and (5, -1).

Now,

Since, The equation of line passes through the points (0, 1) and (5, -1).

So, We need to find the slope of the line.

Hence, the Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - 1) / (5 - 0)

m = - 2 / 5

Thus, The equation of the line with slope - 2/5 is,

[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]

[tex]y - 1 = - \dfrac{2}{5}x[/tex]

[tex]y = - \dfrac{2}{5}x + 1[/tex]

Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].

To learn more about the equation of line visit:

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#SPJ3

Answer:

x=-1/2

Step-by-step explanation:

2x+2=4x+3

-1=2x

x=-1/2

Answer:

B

Step-by-step explanation:

[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]

Answer:

6x - 20 = 4x + 50

2x = 70

x = 35

Answer:

68

Step-by-step explanation:

because 180-44=136

136:2=68 (since TRS=TSR, there is formula)

Answer:

it could be

A to B

A to E

or A to F

all of them would work

Answer:

segments EA, AB, FA

Step-by-step explanation:

These points are all from the circumference, connecting to the radii, A.

Answer:

1. vertical angles

2. Adjacent angles

3. Supplementary angles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Cosine is adjacent / hypotenuse, so 12/13

Answer:674.475

Step-by-step explanation:

(690)(0.15)= 103.5

690-103.5= 586.5 (after first markdown)

(586.5)(0.15)= 87.975

586.5+87.975 (Final price after markup)

Answer:

1280

Step-by-step explanation:

look at the 6 in the number

is it 4 or less

or is it 5 or more

as the number is 6 ( more than 5)

then you are going to add 1 to the tens

so the final answer is 1280

I really hope this helps and have a great day

Answer:

$1155

Step-by-step explanation:

10% of the first $900 is $90.

The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.

Add them together to get $1155.

Answer:

(w+3)(w+1)

Step-by-step explanation:

In w^2 + 3w+w + 3,

we group it so that it looks like (w^2+w) + (3w+3)

Then we factor so that is w(w+1) + 3(w+1).

Distributive property(converse) allows us to simplify to (w+3)(w+1)

it's took 10 hour maybe what subject is this

Step-by-step explanation:

hope it will help you and please mark the answer as brillant please.

Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

Answer:

-1.5

Step-by-step explanation:

24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.

First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02

24 : 32 = 24/(-16) : -2 = -1.5 : -2

[tex]\rule{2000pt}{1000000pt}[/tex]

Answer:

Y intercept is (0,3)

Step-by-step explanation:

Check out the image

Answer:

23°

Step-by-step explanation:

Opposite angles so:

60° = 2x + 14

Therefore:

x = 23°

Answer:

x is 23°

Step-by-step explanation:

those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two

Answer:

All the mentioned can be constructed with the help of piling method. But, for construction of B and D we need a point as well.  

Please give brainliest only need 3 more brainliest before next rank!

Step-by-step explanation:

a) Yes, a cube can be formed by stacking polygons. If we stack squares one upon another, then the resulting 3-D figure would be a cube.

b) Yes, a cone that does not include the point can be made by stacking disc. If we stack discs such that the discs are arranges in descending order then the resultant 3-D figure would be a cone that does not include a point.

c) Yes, a pyramid can be formed by stacking polygons.

If we stack squares such that they are arranged in descending order of their side length and stacked by a point on the top. Then the resultant figure would be a  pyramid that includes a vertex.

f) There are many types of prism. Fro example a rectangular prism can be constructed by simply stacking rectangle polygon on one another.

e) Yes, a cone can be formed by stacking disc.

We need to stack disks arranged in descending order of their radius stacked with a point on the top. The resulting figure would be a cone that includes a point.

f) Yes, a cylinder can be formed by stacking. We need to stack discs of same radius to get a cylinder.

Answer:

B and D

Step-by-step explanation:

Answer:

The domain corresponds to the values of the x and the range to the values of the y. So:

D: {-3, 0, 3}

R: {-6, 0, 6}

Answer:

[tex]\huge\boxed{A.}[/tex]

Step-by-step explanation:

Domain:

"Set of values on x-axis"

Domain = {-3,0,3}

Range:

"Set of values on y-axis"

Range = {-6,0,6}

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!