Simplify the expression to standard form

-1/2(8x - 4) + (-5 + 3x)

Answers

Answer 1

Answer:

[tex] - x - 3[/tex]

Step-by-step explanation:

1) regroup term.

[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]

3) Factor out the common term 4.

[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

[tex] - 2(2x - 1) + 3x - 5[/tex]

5) Expand by distributing terms.

[tex] - (4x - 2) + 3x - 5[/tex]

6) Remove parentheses.

[tex] - 4x + 2 + 3x - 5[/tex]

6) Collect like terms.

[tex]( - 4x + 3x) + (2 - 5)[/tex]

8) Simplify.

[tex] - x - 3[/tex]

Therefor, the answer is -x - 3.


Related Questions

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose

Answers

Answer:

3

Step-by-step explanation:

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?

Answers

Step by step explanation

Cost of one hotdog =140/56=2.5

To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70

So the numbers of hot dogs he had to sell more of =70-56=14

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.

Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?

n = 2t
n = 2^t
n = t^2
n =

Answers

A is the answer

EXPLANATION-

the hotog eating champion eats 27.5 hot dogs in 4 minutes. at that rate how many does he eat in the 10 min competition?

Answers

Answer:

68.8 hot dogs

Step-by-step explanation:

27.5 ÷ 4 = 6.875 per minute

6.875x10 = 68.75 hot dogs

Answer:

68.75 hotdogs

Step-by-step explanation:

lets say x = number of hotdogs

27.5/4 = x/10

use cross multiplication:

27.5 (10) = 4(x)

multiply

275 = 4x

divide both sides by 4 to isolate x

x = 68.75

20 Points!!!! PLEASE help!! Math!! Due soon!!

Answers

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

15 is 20% of what number? Enter your answer in the box. ​

Answers

Answer:

75

Step-by-step explanation:

HELP WHATS THE CONSTANT OF PROPORTIONALITY
sodas: 2 3 4 5
cost: $2.50 $3.75 $5.00 $6.25

Answers

Answer:

its 1.25

Step-by-step explanation:

which equation is equivalent to 63-3(2-10x)=150

Answers

Answer:

D: 57 + 30x = 150

Step-by-step explanation:

63-3(2-10x)=150

63 - 6 + 30x = 150

57 + 30x = 150

63-3(2-10x) = 150
63-6+30x = 150
*57+30x = 150*
30x = 150 -57
30x = 93
x = 31/10

The answer is...D. It appears in the third step of my work. :)

Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?

f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power

f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power

f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power

f(x)=−23,540(0.95)x

Answers

Hey I want you to know to have a bless day

The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.

The depreciation rate =

A = P(1-r)ⁿ

Where, A = amount final

P = initial amount

r = rate and n = number of the years

Therefore,

The depreciation rate =

f(x) = 23540(1-0.05)ˣ

f(x) = 23540(0.95)ˣ

Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ6

2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right

Answers

Answer:

Acute

Step-by-step explanation:

26^2 + 12^2 = 18^2

676 + 144 = 324

820 = 324

Since 324 is smaller, this triangle is acute

angle is actually acute :)

Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm​

Answers

Answer

128.86

Step-by-step explanation:

The box is 11x12 so 132.

The circles area is 3.14, or

A = πr^2 = π·1^2 ≈ 3.14159

So 132-3.14 is 128.86

A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.

Answers

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)

Answers

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

How do you graph it ?

Answers

Answer:

It should look like this

Step-by-step explanation:

hope it helps

In the sequence: 20, 25, 23, 28, 26, …, what number should come next?
a) 24
b) 31
c) 21
d) 28

Answers

Answer:

b) 31

Step-by-step explanation:

20 + 5 = 25

25 - 2 = 23

23 + 5 =28

28 - 2 = 26

pattern: add 5 then subtract 2

since we subtract last, we would add 5 on 26:

26 + 5 = 31

Answer:

31

Step-by-step explanation:

In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.

Hope it helped :)

can you help with this Its due today.

Answers

Answer: x squared equals y

Step-by-step explanation:

1. x+1 when x=10


2. 5y-8 when y=6


3. 6t-9m when t=5 and m=3


4. 62/2 when x=10


5. 5h3-3j2+20​​ when h=4 and j=5

Answers

Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

help? i wud rly appreciate it <3

Answers

Answer:

D

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-3x+1<7

     -1  -1

-3x<6

/-3    /-3

x>-2(you divided by a negative so flip the sign, the sign also tells you which way the graph should be covering :D)

7x = 14 step by step ​

Answers

Answer:

x=2

Step-by-step explanation:

7x = 14

x = 14/7

x = 2

Answer:

2

Step-by-step explanation:

7x/7 = 14/7

x = 2

Find the missing side. Round to the nearest tenth.

Answers

Answer:

[tex] \tan \frac{opposite}{adjacent} [/tex]

21.4

Step-by-step explanation:

tan47° = x/20

1.072=x/20

20×1.072= x/20×20

x =20 ×1.072

x= 21.447

x=21.4

Find the value of 3p2 – 4p -5, if p= -3

Answers

Answer:

-11

Step-by-step explanation:

3 x (-3) x 2 - 4 x (-3) - 5

= -18 + 12 - 5

= -11

Trapezoid
Area= 1/2 (6+14)8
A=80
Now i know what the equals but i don’t know how to find the m2

Please help :)

Answers

bb

Step-by-step explanation:

honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good

Anyone know the answer to this ?

Answers

Answer:

no srry

Step-by-step explanation:

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

Any smart people know this i’m not smart

Answers

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:



can someone please solve 1/4 x 5/3

Answers

Answer:

Just multiply the numerators and denominators:

1×5=5 and 4×3=12

The answer is 5/12

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} *\frac{5}{3} =\frac{5}{12}[/tex]

HELP HELP ME PLZ !!!

Answers

Answer:

GK=JK

Step-by-step explanation:

SSS congruency  is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.

For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.

The options are:

<G=<J

<H=<H

GK=JK

the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS

GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.

Hope this helps!

1. How long does it take running at a rate of 12m/s over a distance of 360m?

Answers

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

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