The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

Answer:

The third one and the last one:

x²+6x+9=25

(x+3)²=25

Step-by-step explanation:

If you need an explanation tell me in comments <3

(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

What is a quadratic equation?

A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.

Given,

x² + 6x = 16

⇒ x² + 2 × 3 × x = 16

⇒ x² + 2 × 3 × x +9 = 16 + 9

⇒ (x)² + 2 × 3 × x +9 = 25

⇒ (x + 3)² = 25

⇒ x² + 6x + 9 = 25

Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

Learn more about quadratic equation here: https://brainly.com/question/17718371

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Answer:

90

Step-by-step explanation:

Answer:

1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]

2.) [tex]\left(a-3\right)^2[/tex]

3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]

4.) [tex]=\left(b+7\right)^2[/tex]

Step-by-step explanation:

2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].

[tex]a=a,\:b=3[/tex]

[tex]=\left(a-3\right)^2[/tex]

3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].

[tex]=\left(t+8\right)\left(t-9\right)[/tex]

Answer:

what? i need a table to answer

Step-by-step explanation:

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:

just upload the file

Step-by-step explanation:

Answer:

1:Add the x for the number of tbs 2: Add all the values together.

Step-by-step explanation:

Hope this helped!

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{a}{sin64}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = [tex]\frac{9.3sin64}{sin31}[/tex] ≈ 16.23 ( to 2 decimal places )

then to find b , using

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{b}{sin85}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = [tex]\frac{9.3sin85}{sin31}[/tex] ≈ 17.99 ( to 2 decimal places )

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

Answer:

8.17307692308

Step-by-step explanation:

7,488 divided by 416 is 18 (:

Answer:

Slope= 1/2

y-intercept= -1

Step-by-step explanation:

So the formula that the equation is following is y=mx+b.

M stands for slope and b is the y-intercept.

Answer:

(25x^2-1)

Step-by-step explanation:

I know the simplified form of (5x+1)(5x-1)=25x^2-1.

I know because I did the box method. So, I did 5x times 5x and got 25x^2. Then, I did 5x times 1 and got 5x. Next, I did -1 times 5x and got -5x. Next, I did -1 times 1 and got -1. Then, I took these terms I got in the box and put them together, and I got 25x^2+-5x+5x-1. I had to then simplify this equation. I added like terms.

In conclusion, the simplified form of (5x+1)(5x-1) is (25x^2-1).

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

Answer:

15

Step-by-step explanation:

30 + 4x=90

4x=60

x=15

Answer:

21.4476105895

Step-by-step explanation:

Using a calculator [tex]\sqrt{460\\}[/tex]

Answer:

approximately 21.448 or 2 times the square root of 115

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. 

Answer:

You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

Answer:

The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain

Answer:

Step one: say "5"

Step two: say "40"

Done.

Answer:

radius = 1.4

Step-by-step explanation:

The formula for circumference is as follows:

[tex]C = d\pi[/tex]

or

[tex]C = 2r\pi[/tex]

However, these formulas are the same, because the diameter is equal to the radius times 2. I prefer to use the first (it gives you less values to work with).

Anyhow, We would substitute like this:

[tex]8.8 = d\pi[/tex]

We know that pi, is going to be equal to: 3.14159

So we work from there...

[tex]8.8=d(3.14159)\\2.8011=d[/tex]

Diameter divided by 2 would be the radius, and thats:

1.4006

or 1.4

Answer:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Step-by-step explanation:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Solution :

It is given that we have a null and an alternative hypothesis. The hypothesis are :

[tex]$H_0: \mu = 240,000$[/tex]

[tex]$H_a : \mu < 240,000$[/tex]

We have to find if the cost of average home has decreased or not in this month.

So it is given that the test statics is -1.79, so the p value associated with the test statics is less than ( α ) 0.01

Therefore, we can conclude that the cost of the average house is less than $ 240,000.