Please help! Simplify and know whether these examples are equal. Picture above. ​

Answer:

-3, -3, 1, 2, | 2, 8, 12, 14

Lower quartile is negative 1

Because the middle number is the median because there is an odd set of numbers.

To find the quartile you have to arrange the numbers from lowest to highest.

When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped

Answer:

x<-6 or x>10

Step-by-step explanation:

-3+|x-2|>5

add 3 to both sides

|x-2|>8

x-2>8

x>10

There are 2 answers because it is absolute value.

It can't be 10, so the only other option is -6.

|x-2|>8

|-6-2|=8

|-8|=8

Apply absolute rule. If |u| > a, u < -a

because one of the answers is -6, it has to be x<-6

The total amount that Ella earned in a week in which she made sales of $600 is; $500

The parameters given about Ella who is a salesperson are;

Amount paid per week = $500

Commission on sales exceeding $800 = 3%

Total sales for the week = $600

From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.

Therefore her weekly pay was still $500

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Answer:

about 12 1/2 minutes

each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5

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Work Shown:

20 min = 20/60 = 1/3 of an hour

distance = rate*time

d = r*t

4 mi = (x mph)*(1/3 hr)

4 = x*(1/3)

4*3 = x

x = 12 mph

Damon's speed is 12 mph

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Now calculate the time it takes go travel to his friends house.

d = r*t

2.5 = 12*t

t = (2.5)/12

t = 25/120

t = (5*5)/(5*24)

t = 5/24

He takes 5/24 of an hour to go from school to Stefan's house.

Multiply by 60 to convert to minutes

(5/24)*60 = 12.5 minutes

128 = 2^7

There are just seven 2's being multiplied to get to 128,

We know that the factors of 128 are :  1, 2, 4, 8, 16, 32, 64, and 128 itself.

But we need a prime factorization, and so [tex]2^{7}[/tex] is the prime factorization of that number

The value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25

Given the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex]

To get the value of P, we will use the completing the square method;

Add the square of the half of the coefficient of x

Hence the complete quadratic expression will be [tex]x^2-10x + 25[/tex]

Hence the value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25

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Answer:

It is correct :)

Step-by-step explanation:

Refer to the attachment

Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).

Step-by-step explanation:

Answer:

77 rows

As per the provided information in the given question, we have :

We've been asked to calculate the number of rows in the auditorium.

Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.

Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.

Writing it in the form of a linear equation,

[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]

Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.

[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]

Therefore, there are 77 rows in the auditorium.

Step-by-step explanation:

area of circle = πr²

radius ² = 9.15 = 83.72 (approx.)

now,

→ 22/7 × 83.72

→ 22 × 11.96 = 263.02 m²

therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².

hope this answer helps you dear..take care and may u have a great day ahead!

Answer:

k^-1(x) = -1/128+16x

Domain = ]-infinity,-8[ U ]-8,infinity[

Range = ]-infinity,0[ U ]0,infinity[

Step-by-step explanation:

k(x) = -1/16x = -8

y = -1/16x = -8

x = -1/16y = -8

y = -1/128+16x

k^-1(x) = -1/128+16x

Answer:

D

Step-by-step explanation:

e2021 on god

Answer:

8 x 4 = 5 fours + 3 fours

= 20 + 12

= 32

Hope This Helps! •v•

Answer:

x equals to 5

jist cross multiply

Answer:

[tex]h = \frac{2a}{a + b} [/tex]

Answer:

8 weeks

Step-by-step explanation:

16km is the total, 2km is what is completed in a single (1) week.

so our equation is 16÷2

Week 1: 2km

Week 2: 4km

Week 3: 6km

Week 4: 8km

Week 5: 10km

Week 6: 12km

Week 7: 14km

Week 8: 16km (final)

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )

m = [tex]\frac{0-4}{2-(-2)}[/tex] = [tex]\frac{-4}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , then

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

Answer:

the answer is below

Step-by-step explanation:

multiply like this

Step-by-step explanation:

vyo yesko solutions yeti matra xa

Answer:

y=-5/3x+10

Step-by-step explanation:

slope is -5/3 and the y int. is 10. Hope this helps!

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99

Answer:

-15.5x-120

Step-by-step explanation:

-1.5x-2x-12(x+10)=-1.5x-2x-12x-120

=-15.5x-120

Answer:

-3.5x - 12(x + 10)

-3.5x - 12x - 120

-15.5x - 120

Step-by-step explanation:

brainliest plz

the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.

Answer:7

Step-by-step explanation:

1/2 of j is the same as j ÷ 2

14 ÷ 2 = 7

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

=  [tex]\frac{4.5}{750}[/tex]

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

Answer:

The x-int is 3/2y - 3 (x=3/2y-3)

Step-by-step explanation:

2x-3y=-6

2x=3y-6

x=3/2y-3

Step-by-step explanation:

1 ft = 12 in

=>

6 ft = 12×6 = 72 in

so, the given ratio is

6 ft / 80 in = 72 in / 80 in = 9/10 in

Answer:

g = 8

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

-1 = (-6 -7) / (g +5)

-1= -13/x + 5

-1(x+5)= -13

-x - 5 = -13

-x = -8

x = 8