What is the range of the given function?

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

Step-by-step explanation:

x = 3y

or y = x/3

bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.

Answer:

y = 0.25x+1

Step-by-step explanation:

Y= mx+b

m= 0.25

b= 1

hope this helps

Answer:

D) 2.5

                                             Aaliyah- ツ

Readers can learn various information related to an airplane flight.

Fly through the sky is a children's song in which different aspects of an airplane flight are described in a simple and direct way. Some of the aspects that a person can learn by reading the lyrics of the song are:

Learn more about airplane in: https://brainly.com/question/15415980

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

11-3/9-9

8/0

0

slope=0

Answer:

[tex]7x(4x-1)[/tex]

Step-by-step explanation:

First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.

Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.

Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:

[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]

Another example of what I said above would be this:

Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.

[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]

Answer:

b=4

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b

Answer:

First, you combine like terms.

Then, you divide both sides of the equation by the same term.

Next, you simplify.

Lastly, you have your solution, which is x= 18

Step-by-step explanation:

Hope this helps!

Answer:

21 = 10 + 5.5h

Step-by-step explanation:

Total cost = initial cost + hourly cost

21 = 10 + hourly cost

hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour

21 = 10 + 5.5h

Answer:

Step-by-step explanation:

$10 + $5.50h ≤ $21

Let h stand for the hours the canoe is rented.

Fixed cost = $10, regardless of h.

$5.50h for the cost of n hours of rental.

Total cost = $10 + $5.50h

The total cannot exceed $21, legally.  

So we should write:

$10 + $5.50h ≤ $21  

If $10 + $5.50h ≥ $21  then ║║║║║║║

Answer:

Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

j

Answer:

4/3 litres of water is enough to water 2/5 of the plants

Assuming the number of plants in the house is an unknown variable, take the value as x.

Thus, 4/3 litres is enough to water 2x plants in the house.

x = 4/3 ÷ 2

  = 2/3 litres

Amount of water for all the plants = 5x = 5 × 2/3

                                                                = 10/3 litres

Thus, 10/3 litres of water is necessary to water all the plants in the house.

Answer:

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Step-by-step explanation:

Answer:

√85

Step-by-step explanation:

The number of soda bottles Katie bought is 6

The given parameters are:

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

(a+b)² - 2ab

Step-by-step explanation:

it is a formula :)

Answer:

r = 6

.....................

When we use the number line, we need to count forward from -10.

Therefore, the distance between -9 and -4 is 6 units.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable

Answer:

142

Step-by-step explanation:

Hope this helps

Answer:

x > -4

Step-by-step explanation:

- 16x < 64

Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)

x > -4

(When dividing or multiplying by a negative the inequality sign flips!)

Hope this helps and have a good day!