Simplify the following expression:
5(3x) – 3(7x – 2)

Answers

Answer 1

Answer:

[tex]5(3x) - 3(7x - 2) \\ = 15x - 21x + 6 \\ = - 6x + 6 \\ = 6(1 - x)[/tex]

Answer 2

Answer:

-6x+6

Step-by-step explanation:


Related Questions

An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:

x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31

Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)

Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:

Answers

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Reese used a $60 Amazon gift card to buy stickers for her friends. After paying for 12 stickers, her balance on the gift card was $18. What was the price of each sticker, assuming all the stickers cost the same amount?

Answers

Answer:

3.5 dollars per sticker

Step-by-step explanation:

60 - 18 = 42

42 ÷ 12 = 3.5

I think this is the correct but it may be not , sorry if I wasn't that helpful...

Can you please help me

Answers

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%

Answers

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Help meeeeeee ASAP helppppppp

Answers

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

What expreassion is equivalent to 5(d+1)

Answers

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.

Please answer number 9 I’ll give brainliest

Answers

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

4 (x + 2.5) = 48
Explain your reasoning as well.

Answers

Answer:  9.5 is the answer. You have to distribute through.

Explain: 4x+10=48

Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.

Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS

Answers

54 ft.

Step-by-step explanation:

add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.

what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches

Answers

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

What is the volume of the rectangular prism? Help pls

Answers

Answer:

10ft³

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 1/3 = 10ft³

rotate the object 90 degrees around the origin. What are the new coordinates?

Answers

Answer:

s

Step-by-step explanation:

d

Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21

Answers

Answer:

The answer is B

Step-by-step explanation:

4y-3y+7y²+5+16-2y

7y²+4y-3y-2y+5+16

7y²-y+21

Help me HOW which choice is it

Answers

number 3 is correct

Step-by-step explanation:

smaller<bigger

Number 3 should be correct

Help!! If anyone could help, I’ll give Brainly! :) thank you so much

Answers

9514 1404 393

Answer:

  $50

Step-by-step explanation:

The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.

  I = Prt

  I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years

  I = $50

The interest earned in the account is $50.

When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick

Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.

Answers

9514 1404 393

Answer:

158,987 m²0.158986 km²

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!

Answers

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

99 is decreased to 44

Answers

Answer:

99 -? = 44.

99 -a = 44.

99 -44 -a = 44-44.

55 = a.

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?

a.) 20%
b.) 80%
c.) 8%
d.) 12%

Answers

Answer: Hope This Helps!

Step-by-step explanation:

I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.

The product n and sum of n and 76

Answers

Answer:

n+76

n --> a number not determined (and a random product)

76 --> the number the problem gave

+ --> required for addition, which provides the sum

PLEASE HELP Amber has 7 books to read. She will read 1/2 of a book each day. How many days will it take Amber to read all 7 books?

Answers

Answer:

14 days

Step-by-step explanation:

amiaoaodkwjwisodkwbqhshjdkekansxbudid

What is the lateral surface area, in square inches, of the figure formed by the net?

Answers

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

Solve this equation by Euclid's application of areas: x^2 + 12x = 64.

Answers

Answer:

4

Step-by-step explanation:

(15) A – 2 2/9 = 1 1/2

16) C – 6.0005 = 2.5

17) B + 55 = 83

Answers

Answer:

A= 67/18

C= 8.5005

B= 28

Step-by-step explanation:

to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?

Answers

The answer is 144.

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

What is the area of the sector for the following circle? Round your answer to 4 decimal places. *

Answers

Answer:

Area = 13.0900 ft²

Step-by-step explanation:

Area of sector = θ/360 × πr²

We are assuming it's the area of the minor sector that we are asked to find.

Therefore,

θ = 360 - 300 = 60°

r = 5 ft

Plug in the values

Area of minor sector = 60/360 × π × 5²

Area = 13.0899694

Area = 13.0900 ft² (to 4 decimal places)

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

6 times the difference between q and 1

Answers

Answer:

6q-1. It's not factorsble with rational mumbers.

Answer:

6q - 6

Step-by-step explanation:

6 x (q - 1) =

6 x q - 6 x 1 =

6q - 6

Hope that helps! :)

-Aphrodite

what expressions are equivalent to 1/5•1/5•1/5•1/5

Answers

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

c because if you put them both in the calculator they are the same

(3^6/7^-3)= Please I need help!!!

Answers

Answer: [tex]\frac{243}{7}[/tex]

Steps:

[tex]\frac{3^6}{7^-\cdot \:3}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]

[tex]=\frac{3^5}{7}[/tex]

[tex]3^5=243[/tex]

[tex]=\frac{243}{7}[/tex]

Hope This Helps!

PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?

Answers

Answer:

the last one

Step-by-step explanation:

__________________

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