Three local stores are each selling their videos game consoles for the same price the table below shows how many consoles have been sold at each of the stores and the total sales dollars for the consoles.

y=6x-20

Hope it helps.

Do comment if you have any query.

Answer:

y = m x + b       is the standard form for a straight line

you have

y = 6 x + b       if m = 6

Now when x = 2, y = -8          this is given

- 8 = 6 * 2 + b       substituting given values

b = -8 - 12 = -20

y = 6 x -20            is the equation requested

Check;

-8 = 6 * 2 - 20      

12 = 12         so this agrees

Typically, linear equations are written in slope-intercept form:

[tex]y=mx+b[/tex]

To find the equation of a line given a point and the slope:

We're given:

[tex]y=mx+b[/tex]

⇒ Plug in the slope, [tex]\dfrac{1}{5}[/tex]:

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

⇒ Plug in the point (-5,-4) and solve for b:

[tex]-4=\dfrac{1}{5}(-5)+b\\\\-4=-1+b\\\\b=-3[/tex]

⇒ Therefore, the y-intercept of the line is -3. Plug this back into our original equation as b:

[tex]y=\dfrac{1}{5}x-3[/tex]

[tex]y=\dfrac{1}{5}x-3[/tex]

Step-by-step explanation:

The centroid O cuts every median in the ratio 2:1. The distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.

Therefore: |OB| = 2|OF|

|BF| = |OF| + |OB| = |OF| + 2|OF| = 3|OF|

3x+3=3(2x-8)

3x+3=6x-24

3x=27

x=9

However if you are asking how many different combinations, there can be 5005 different combinations.

Answer:

2 different groups of 6 children.

Step-by-step explanation:

There are 15 children you need to bring. You can fit 6 children in each van.

One van : 6 children

Two vans : 12 children

Three vans : 18 children

If you take two vans, that will take 12 children. But you need to fit 15.

If you take three vans, that will take 18 children. This is more than enough.

15 children - 6 = 9 children

Thats one group with 9 children left to take

9 children - 6 = 3 children

Thats two groups with 3 children left to take

3 children - 6 = -3.

This doesn't work. In this case, there will be 3 more empty seats in the last group.

Since the question asks how many groups of 6 children you can drive. It would be two. Becuase there are 2 groups of 6 and one of 3.

Answer:

(2, -4)

Step-by-step explanation:

Answer:

(2, -4)

Step-by-step explanation:

The solution to a system of equations is always going to be the point(s) where they intersect. To solve, use substitution and find each variable, x and y. Our final answer will be a set of coordinates (x, y). To plot this system, see the help image attached.

y = -x - 2

2x - y = 8

Substitute y to find x

2x - (-x - 2) = 8

2x + x + 2 = 8

3x = 6

x = 2

Substitute x to find y

y = -(2) - 2

y = -2 - 2

y = -4

Solution: (2, -4)

I hope this helps and God bless!

Answer:

x = 10

Step-by-step explanation:

Both right triangles are similar.

-> Corresponding sides of similar triangles are in proportion.

[tex] \implies \: \frac{x + 6}{16} = \frac{x}{10} \\ \\ \implies \: 10(x + 6) = 16x \\ \\ \implies \: 10x + 60= 16x \\ \\ \implies \: 10x - 16x = - 60 \\ \\ \implies \: - 6x = - 60 \\ \\ \implies \: x = \frac{ - 60}{ - 6} \\ \\ \implies \: x = 10[/tex]

Answer:

anywhere around 420-450

Step-by-step explanation:

the actual answer is 434, a good estimation would be in that range

Answer:

y<3/2x-5/2

Step-by-step explanation:

You just have to know how to get y on one side and the rest of the problem on the other.

First you would subtract 3x from both sides, which leaves you with -2y>5-3x.

Lastly you would divide both sides by -2.

To get the final answer of y<3/2x-5/2

A two column proof for ΔAEC ≅ ΔDEB  is as shown below.

"Two triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

"These angles formed on the inside of two straight lines when crossed by a transversal."

"It is point which divides a line segment into two equal parts."

"AAS (Angle Angle Side) theorem states that in the two triangles, if two angles and one side of a triangle are congruent to two angles and one side of a second triangle, then the two triangles are congruent."

For given question,

Given that CA is parallel to DB and E is the midpoint of AD.

CA is parallel to DB

CB is transversal.

∠ACB and ∠CBD are alternate interior angles.

We know that when a transversal intersects a parallel line then alternate interior angles formed are congruent.

So, ∠ACB ≅ ∠CBD                       ................(i)

Similarly for CA || DB and AD is transversal.

∠CAD ≅ ∠ADB                             ..................(ii)

Also,  E is the midpoint of AD.

By definition of midpoint,

⇒ AE = ED                                      ..................(iii)

From (i), (ii) and (iii),

By AAS postulate of triangle congruence,

ΔAEC ≅ ΔDEB      

Therefore, a two column proof for ΔAEC ≅ ΔDEB  is as shown below.

Learn more about AAS postulate of triangle congruence here:

https://brainly.com/question/1593616

#SPJ2

Answer:

x=1

Step-by-step explanation:

1) Distribute 3x+9=12

2) Subtract 9 from both sides 3x=3

3) Divide by three x=1

Answer:

i believe it's 48

Step-by-step explanation:

7x^2 - 3x - 6

7(3)^2 - 3(3) - 6

63 - 9 - 6

54 - 6

48

Answer:

The answer is 3054.8

Step-by-step explanation:

V = 4/3 × 22/7 × 9 × 9 × 9

V = 4 × 22/7 × 3 × 81

V = 4 × 22 × 243/7

V = 21384/7

V = 3054.8

Thus, The answer is 3054.8

Answer:

3054

Step-by-step explanation:

V=4/3 π9³ = 3054

hope it helps

Answer:

  $65,139,000

Step-by-step explanation:

Integration of the given function involves straightforward application of the power rule. It can also be done easily by a modern calculator.

  [tex]\displaystyle \int_{1000}^{1300}{(190x-1370)}\,dx=95(1300^2-1000^2)-1370(1300-1000)\\\\=95(300)(2300)-1370(300)=300(95\cdot2300-1370)\\\\=65\,139\,000[/tex]

Revenue from the sale of those 300 tickets will be $65,139,000.

Answer:

D. is correct.

[tex]2 * 1 = 2[/tex]

[tex]4 * 1=4[/tex]

[tex]4 + 2 = 6[/tex]

________________________________________________________

The product of answer choice D.(6) is not equal to the product of [tex]\frac{2}{3}[/tex] × 4, because [tex]\frac{2}{3}[/tex] × 4 is actually [tex]2\frac{2}{3}[/tex]

________________________________________________________

We learned how to find whole numbers through an expression with fractions.

Questions related to the topic? Ask me in the comments box.

Answer:Vol of cylinder is area of base (B) times its height(H); while the volume of a cone is area of base (B') times one-third of its height (H').

Step-by-step explanation:

12-(-8)=20

x axis = 20:2 = 10

$0.7

Given sentence:

Writing as an equation:

[tex]\implies 2.4 \ \text{pounds} = \$1.68[/tex]

To obtain the cost per pound of peas, divide 2.4 both sides. This will convert the value on the L.H.S to 1 pound. The value obtained on the R.H.S will be the the cost (answer).

[tex]\implies \dfrac{2.4 \ \text{pounds}}{2.4} = \$\dfrac{1.68}{2.4}[/tex]

[tex]\implies 1 \ \text{pounds}}= \$\dfrac{1.68}{2.4}[/tex]

[tex]\implies 1 \ \text{pound} = \$0.7[/tex]

Answer:

Linear with a positive correlation

Step-by-step explanation:

This is because the data is linear and upwards sloping from which we can infer is a positive correlation.

Answer:

D. 4.5 and 12 seconds

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It was correct on the quiz

Answer: 20v+5

Step-by-step explanation:

5(4v+1)

Use the distributive property to multiply 5 by 4v+1.

20v+5

Answer:

20v+5

Step-by-step explanation:

You would multiply using the distributive property

Distributive property formula examples:

AB=BA

A+B=B+A

(AB)C=A(BC)

(A+B)+C=A+(B+C)

A(B+C)=AB+AC

Answer: -x(x-4)(2x-49)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

Answer:

-x (x-4) (2x-49)

Step-by-step explanation:

take out -x

you then have

2x^2-57x+196

then factor the remaining

multiply number next to x^2 which is a with 196 which is c

(-57 is b)

multiply 2 with 196 which = 392

then find out what 2 factors of 392 add up to -57

they are -8 and -49

2(x-8/2)(x-49/2)=0

2(x-49/2)(x-8/2)=0

(-x)(2x-49)(x-4)=0

The Ruiz family using a rounded figure for exchange rate will not give the correct exchange.

Exchange rate:

1 euro = 1.35261 USD

1.35261 rounded to the nearest hundredth = 1.35

If Ruiz family is exchanging 50 euros for instance

Original exchange rate

1 euro = 1.35261 USD

50 euro = 67.6305

Rounded exchange rate:

1 euro = 1.35 USD

50 euro = 67.5 USD

Therefore, the Ruiz family using a rounded figure for exchange rate will not give the correct exchange.

Read more:

https://brainly.com/question/17985441

There would be 413 frozen dinners in the next 16 years.

Let y represent the amount of frozen dinners after x years.

If a certain quantity of money can buy 940 frozen dinners this year, and it decreases by 5% every year, hence:

y = 940(0.95)ˣ

In 16 years:

y = 940(0.95)¹⁶

y = 413.71

There would be 413 frozen dinners in the next 16 years.

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

The probability that exactly 1 of the next 2 meals is overcooked = 3.34%

Step-by-step explanation:

The probability that a meal at a restaurant is overcooked is 10%

The probability that exactly 1 of the next 2 meals is overcooked = out of 3  meals 1 meal is overcooked of 10%

= 1 × 3 × 10%

= 10 × 3 %

= 3.34 %

Answer: 18.1%

Step-by-step explanation:

[tex]P($ overcooked $)=1 / 10$ \\$P($ exactly one overcooked of next two)\\\begin{$aligned}&\Rightarrow O N+N O \quad\left[\begin{array}{l}O \rightarrow \text { Overcooked } \\N \rightarrow \text { Not Overcooked}\end{array}\right. \\&\Rightarrow P(O) \cdot P(N)+P(N) P(O)\end{aligned}$$[/tex]

[tex]$$P(N)=1 - 1/10 = 9 / 10$$$P(exactly 1 overcooked)$$\begin{aligned}&=\frac{1}{10} \cdot \frac{9}{10}+\frac{1}{10} \cdot \frac{9}{10} \\&=\frac{18}{100} \\ &=\frac{9}{50} \text { }\text { or } 18.1\%\end{aligned}$$[/tex]

Answer:

Area of the shaded polygon= 372

Answer:

a fraction whos denominator is a power of ten and whose numerator is expressed by figures placed to the right of the decimal point and the decimal point is always suppose to be right in the place where the other number is there suppose to line up hope this helps :)

Step-by-step explanation:

Answer:

75%

Im happy to help you

Answer:

1/8

Step-by-step explanation:

I think so