A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

Answer:

g(f(-3)) = -11

Step-by-step explanation:

First, we evaluate f(-3) and then plug that value into g(x) for x:

f(x) = 5x + 11

f(-3) = 5(-3) + 11 = -15 + 11 = -4

Therefore:

g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11

Answer: -11

Step-by-step explanation:

Find the value of g(f(-3)) given the two equations:

f(x) = 5x + 11

g(x) = x² + 4x - 11

Plug -3 into equation f(x).

f(-3) = 5(-3) + 11

Solve for f(x).

-4 = f(-3)

Plug -4 into the equation of g(x).

g(-4) = (-4)² + 4(-4) - 11

Solve for g(x).

g(-4) = (16) + (-16) - 11

g(-4) = -11

The value of g(f(-3)) is -11.

Answer:

The answer would be D

Step-by-step explanation:

5 1/3 ÷ 2/3 = 8

16/3 ÷ 2/3 = 8

16 ÷2 = 8

Answer:

its the first one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you go to -4, 0 the line intersects that point

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

Answer:

-32

Step-by-step explanation:

Step-by-step explanation:

4b + z I think lol I honestly looked it up

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

Answer:

Step-by-step explanation:

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

Answer:

358 steps

Step-by-step explanation:

Answer:

1.(-4,2)

2.(2,4)

3.(-2,8)

Answer:

(1,2) (0,4) (-4,2)

Step-by-step explanation:

took the quiz and got it right.

Answer:

192

Step-by-step explanation:

Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.

P.S, This is my first question answered, so if im wrong please let me know, thank you!

Answer: 192

Step-by-step explanation:

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.

the straight up answer is -12/5

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, she paid $984 monthly for 22 years, hence:

[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]

Interest rate of 3%, hence [tex]r = 0.03[/tex]

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]259776 = A(0)[1 + 0.03(22)][/tex]

[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]

[tex]A(0) = 156491.6[/tex]

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

=======================================================

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

Answer:

Yes

Step-by-step explanation:

Area rule is correct

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

Answer:

3 / (3t+4) is the answer

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

Answer:

x = 2

Step-by-step explanation:

The given point is (-2, 2).  A horizontal line passing through this point is x = 2.