Simplify the following algebraic expression by combining like terms 2x - 2 + x + 4

Answer:

[tex]y=\frac{1}{2}x -3[/tex]

Step-by-step explanation:

The 'rise' is 1 and the 'run' is 2, so the slope is 1/2.

The graph is shifted down 3 (the y-int is (-3)

I belive its B i may be wrong, combine like terms is definitly first so A or B

Answer:

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

Step-by-step explanation:

421 = dividend

27 = divisor

Step 1:

Start by setting it up with the divisor 27 on the left side and the dividend 421 on the right side like this:

 2 7 ⟌ 4 2 1

Step 2:

The divisor (27) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 2 7 ⟌ 4 2 1

Step 3:

Multiply the divisor by the result in the previous step (27 x 0 = 0) and write that answer below the dividend.

       0    

 2 7 ⟌ 4 2 1

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 6:

The divisor (27) goes into the bottom number (42), 1 time(s). Therefore, put 1 on top:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (27 x 1 = 27) and write that answer at the bottom:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

       2 7  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 27 = 15) and write the answer at the bottom.

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5  

Step 9:

Move down the last digit of the dividend (1) like this:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 10:

The divisor (27) goes into the bottom number (151), 5 time(s). Therefore put 5 on top:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 11:

Multiply the divisor by the result in the previous step (27 x 5 = 135) and write the answer at the bottom:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

       1 3 5

Step 12:

Subtract the result in the previous step from the number written above it. (151 - 135 = 16) and write the answer at the bottom.

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

     - 1 3 5

         1 6

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

More Information

If you enter 421 divided by 27 into a calculator, you will get:

15.5926

Answer:

B

Step-by-step explanation:

Not sure if this correct but hope it helps

Answer:

C

Step-by-step explanation:

Exterior angle property: Exterior angle equal the sum of opposite interior angles.

3x + 7 + 4x + 16 = 100  

3x + 4x + 7 + 16 = 100   {Combine like terms}

7x + 23 = 100     {Subtract 23 from both sides}

7x        = 100 - 23

        7x = 77   {Divide both sides by 7}

         x = 77/7

x = 11

∠B = 3x + 7 = 3*11 + 7

     = 33 + 7

     = 40°

Answer:

The answer is definetly 245

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }[/tex]

Method used :-

__________________

[tex] \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }[/tex]

Method used :-

__________________

[tex] \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}[/tex]

Method used :-

__________________

[tex] \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}[/tex]

Method used :-

__________________

[tex] \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }[/tex]

Method used :-

__________________

[tex] \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }[/tex]

Method used :-

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

c is the answer pi/9

Step-by-step explanation:so we have from 1 to 6.28

so 3.14 is there

3 is there

pi/9 is about 1/3 or less than 1 so not in between

pi squared/9 is about 9.something/9 so more than 1 over 1 and in between

Answer:e=19

Step-by-step explanation:

3/5e-6 = -2/5e +20 -7 distributed multiplication into brackets

3/5e + 2/5e = 20-7+6 collected like terms

e=19

======================================================

Explanation:

We multiply the hourly wage by the number of hours worked to get the total amount earned.

(7.25)*(40) = 290

This is before taxes are applied. So we consider it the gross earnings (as opposed to the net earnings).

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

Answer:

FOIL F-FIRST O-OUTSIDE I-INSIDE L-LAST

Step-by-step explanation:

[tex]2.6 = \times.2 \frac2.{68}{?} [/tex]

Answer:

The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.

Step-by-step explanation:

I took the assignment :).

Answer:

answer below

Step-by-step explanation:

5x⁴: degree even (4),  leading coefficient +5, rise to left and rise to right

x -> -∞   y -> ∞

x -> ∞    y -> ∞

Answer:

25%

Step-by-step explanation:

because from 80 to 100 is 20 and 20 is 1/4 of 80 and 1/4 to a decimal is .25

Answer:

80/100. That's 20% increase. When you hadd 8 and 2 you get 10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I dont know l

Answer: B

Step-by-step explanation: The tomato grows more over time so it will be a positive..

The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

A. grade point average compared to the number of hours a student watches TV.

The grade points depend on the number of hours a student watches TV.

If watching time increases the grade point decreases.

B. the height of a tomato plant throughout the year

The height of a tomato and the number of years show a positive linear correlation.

C. a person's salary compared to the amount of education they have attempted:

The above situation represents an exponential regression.

D. SAT scores compared to hours spent studying

If the time spent in studying increases the SAT scores increases rapidly.

Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

Step-by-step explanation:

the dimensions could be:

1) the height = 6 cm and the width = 9 cm

or

2) the height = 12 ft and the width = 18 ft

#1

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{4.5}=\dfrac{3(2)}{4.5(2)}=\dfrac{6}{9}[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 1(\dfrac{3}{4.5})=\dfrac{3}{4.5}[/tex]

Answer:

18 km/h

Step-by-step explanation:

1. Convert 175 metres into km

1000 m = 1 km (divide by 1000)

175 ÷ 1000 = 0.175 km

so 175 m = 0.175 km

2. Convert 35 seconds into hours

60 seconds = 1 min

60 mins = 1 hour

3600 (60 × 60) seconds = 1 hour (divide by 3600)

35 ÷ 3600 = 0.00972...

3. Calculate the speed

speed = distance ÷ time

= 0.175 ÷ 0.00972...

= 18 km/h

Answer:

p = -5

Step-by-step explanation:

6(6p + 5) = -150

/6                  /6

6p + 5 = -25

-5             -5

6p = -30

/6      /6

p = -5

Answer:

40°&50°

Step-by-step explanation:

simple

very nice questions

Answer:

x=53

Step-by-step explanation:

Parallel lines cut by a transversal mean that the alternate interior angles are congruent. Meaning, 115=62+x

115-62 is 53

Answer:

a) x=56º

b= Angle x is on a line. All lines create linear angles, so together all angles that are on that side of the line = 180º. Since the two lines were parallel we know that the two angle measurements next to x are congruent. So 180=62+62+x.

Step-by-step explanation:

180-62-62=56

Step-by-step explanation:

total angle, < BCD = 42°+41° = 83°.

Hope this helps you.

Answer:

BCD = 83

Step-by-step explanation:

We can use the angle sum addition

BCD = BCE + ECD

BCD = 42+41

BCD = 83

Answer:

Step-by-step explanation:

The number is 1/2, and 1/2 squared is 1/4.