What is the Zero of f ?

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

B

Step-by-step explanation:

answer is B

and what is ypur grades

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

Answer:

C

Step-by-step explanation:

I hope this helps!! Feel better

Answer:

D You got it right. 65% 5/8 3/5 0.5

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

Answer:

(5x+7)(25x^2-35x+49)

Step-by-step explanation:

Not really an explanation for factoring, but I'm sure it's right.

Answer:

A D

Step-by-step explanation:

Since it is a one time fee of 55$, that will be our y intercept.

That allows A and D and F possible answers.

It says 10$ per puzzle and they spent 1245$

So A and D are answers.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

Learn more about Algebra here:

https://brainly.com/question/953809

#SPJ2

Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

Answer:

(9,-3)

Step-by-step explanation:

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

Answer:

555555

Step-by-step explanation: