Trucker's Heaven Diner uses hundreds of plates, glasses, and cups each day. The dishwashers start a new load of dishes every 1 1/4 hours. If the dishwashers work for 10 hours . How many loads off dishes do they wash in that time?

A: 1/2
B: 8
C: 8 3/4
D: 12 1/3

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

The known value in the question includes the following

The given table of f(x) and x, from which we have;

The point of the minimum value, which is the vertex = (-3, -10)

The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3

The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)

Over the interval [-6, -3], the average rate of change of f = (-10 - 8)/(-3 -(-6)) = -6

From the graph of g(x), we have;

The axis of symmetry is the line x = -3

The y-intercept = (0, -2)

Over the interval [-6, -3], the average rate of change of g ≈ (6 - (-2))/(-3 -(-6)) = 8/3

Therefore, we have the correct options as follows;

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

Learn more about parabola here;

https://brainly.com/question/22213822

9514 1404 393

Explanation:

An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.

The above relation tells us ...

  ∠PRS = ∠PQR +∠QPR = 2q +2p

Then ...

  ∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p

and

  ∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior

  q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR

  p = ∠QTR = 1/2(∠QPR) . . . . . subtract q

__

For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...

  ∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°

Substituting the congruent angles, this gives ...

  ∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation

Answer: Y= 2x

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

firstly find the gradient

m=y2-y1/x2-x1

16-4/6-0

12/6

m=2

then use the equation to find the answer

y-y1=m(x-x1)

y-4=2(x-0)

y-4=2x-0

y=2x-4

Answer:

C or 14.8

Step-by-step explanation:

You just find the mean.

Arrange the numbers, add them then divide by the amount of numbers.

Hope it helps c:

Answer:

24

Step-by-step explanation:

x/2-3x/4+5x/8=9

Or,(4*x-2*3x+5x)/8=9. (taking LCM)

Or, (4x-6x+5x)/8=9

Or, 3x=9*8

Or, x = 72/3

so, x=24.

Answer:

A≈376.99yd²

d= 10yd

h = 7yd

hope it helps

Answer:

1/5

Step-by-step explanation:

8/40->4/20->2-10->1/5

Hope this helps!

Answer:

1\5

Step-by-step explanation:

8/40 = 4/20 = 2/10 = 1/5

Answer:

the diameter form for your help today with the app

Step-by-step explanation:

pa brain less

Answer:

A prism is a polyhedron with two parallel, congruent faces called bases that are polygons

Answer:

[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]

[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]

[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]

[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x-10[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

d < 100

Step-by-step explanation:

the distance is less than (<) 100 ft

d < 100

The sentence translates to the inequality  d < 100

There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).

Answer:

3 / 16

Step-by-step explanation:

Let The total amount = x

Fraction eaten on first day = 1/4x

Fraction left = x - 1/4x = 3/4x

Fraction of amount left eaten on second day = 3/4 of 3/4x

3/4 * 3/4x = 9/16x

Fraction left :

3/4x - 9/16x = (12x - 9x) /16 = 3/16x

Hence, fraction left = 3/16

Answer: I think the answer is D

Step-by-step explanation:

Answer:

D is the answer (The last option)

Step-by-step explanation:

Step-by-step explanation:

The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.

Answer:

15d² + 7d - 4

Step-by-step explanation:

Distribute

(5d + 4)(3d -1)

5d (3d - 1) + 4(3d - 1)

Distribute

15d² - 5d + 4(3d- 1)

Distribute

15d² - 5d + 12d- 4

Simplify

15d² + 7d - 4

Answer:

let b union b be

B={2,4,6,8} and B= {1,2,3,4,5}

then B union B = {1,2,3,4,5,6,8}

Step-by-step explanation:

Venn diagram of b union b is in the attachment

Hope it is helpful to you

Answer:

Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]

so, 880g/80cm³

=11gcm³

Answer:

i dont understan your language plz speak in englosh

Answer:

Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language

Step-by-step explanation:

Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English

Answer

what's the question?

Step-by-step explanation:

looks like your question is missing information

Answer:

$1,890

Step-by-step explanation:

To find the amount, we use the compound interest formula here

we have this as;

A = P(1 + r/n)^nt

Where ;

P is the amount invested which is $1,800

r is the interest rate which is 3.3% annually (3.3/100 = 0.033)

n is the number of times yearly interest is compounded which is 1 time yearly

t is the number of years which is 1.5 years

substituting these values, we have

A = 1800( 1 + 0.033)^(1 * 1.5)

A = 1,890

Answer:

3. If that doesn't work, try 1/3

Step-by-step explanation:

Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.

Answer:

See below.

Step-by-step explanation:

Rectangle Volume = Length x Width x Height

Rectangle Volume = 15 x 6 x 8

Rectangle Volume = 720 in^2

Cube volume = s^3

Cube volume = 9^3

Cube volume = 729

Cylinder Volume = [tex]\pi[/tex]r^2h

Cylinder Volume = [tex]\pi[/tex]4^214

Cylinder Volume = [tex]\pi[/tex]1614

Cylinder Volume = [tex]224\pi[/tex]

Answer

720, 729, 703

Step-by-step explanation:

your welcome

Answer:

90

Step-by-step explanation:

Answer:

[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]

I hope I helped you ^_^

Answer:

length = 1696 m

breadth = 571 m

Step-by-step explanation:

perimeter = 4534 m

let breadth be b

so length = b + 1125 m

so

perimeter of rectangular garden = 2(l+b)

4534 m = 2(b+1125m+b) {substituting the value}

or, 4534 m = 2(2b+1125m)

or, 4534 m = 4b + 2250 m

or, 4534 m - 2250m = 4b

or, 2284m = 4b

or, b = 2284m/4

so, b  = 571m

so, l = b + 1125 m

= 571 m + 1125m

= 1696 m

Answer:

3 ft

Step-by-step explanation:

4 + 6x = 7 + 5x

6x - 5x = 7 - 4

x = 3

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = -5[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

3(x+1)=12+4(x-1)

3(x+1)=8+4x

3x+3=8+4x

3x+3−4x=8

-x+3=8

-x=8-3

-x=5

-x(-1)=5(-1)

-x(-1)=-5

x=-5

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

The sum of legs for a right triangle is 12:

[tex] a + b = 21 [/tex]

[tex] a = 21 - b [/tex]   (1)

And their product is:

[tex] a*b = 40 [/tex]   (2)

By entering eq (1) into (2) we have:

[tex] (21 - b)b = 40 [/tex]                          

[tex] 21b - b^{2} - 40 = 0 [/tex]  

We can find the value of "b" by solving the above quadratic equation.

[tex] b_{1} = 2.1 [/tex]

[tex] b_{2} = 18.9 [/tex]

Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.      

[tex] a = 21 - 2.1 = 18.9 [/tex]                                                                              

Now, the hypotenuse of the right triangle is given by:

[tex] h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 [/tex]

Hence, the perimeter is:

[tex] P = a + b + h = 18.9 + 2.1 + 19 = 40 [/tex]

Therefore, the perimeter of the triangle is 40.

I hope it helps you!