Select steps that could be used to solve the equation 1 + 3x = -x + 4.

A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4

(More than one answer)

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

y=-x+5 and y=x-3 is the system of linear equations for the given table values.

Two or more expressions with an Equal sign is called as Equation.

A system of linear equations is usually a set of two linear equations with two variables.

x       y

0      5

5      0

2      3

4       1

Let us find equation of these values by considering any two points.

Slope: m=1-3/4-2=-2/2=-1

1=-1(4)+b

1+4=b

b=5

So y=-x+5 is the linear equation for first table.

x        y

0       -3

3       0

5       2

-1       -4

Slope m=-4-2/-1-5=-6/-6=1

Now find the y intercept

-4=1(-1)+b

-4+1=b

-3=b

y=x-3 is the equation of second table.

Hence,  y=-x+5 and y=x-3 is the system of linear equations for the given table values.

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If a certain stock has grown continuously from 1980 to 2015, for this period of time  its average annual growth rate   is 18%.

It is given that A certain stock has grown continuously from 1980 to 2015.

Stock's initial value in 1980 (I) = $10,000

Stock's final value in  2015 (F) = $3,500,000

time period t = 2015-1980 = 35 years.

Since, the stock has grown continuously,  it should have grown compounded annually.

Stock's average annual growth rate (r) is calculated as:

[tex]\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1[/tex]

Substitute all the given values in the above formula:

[tex]\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1[/tex]

[tex]\text{r} = {(350})^{\frac{1}{35}}-1[/tex]

[tex]r = (350)^{0.02857142857}-1[/tex]

[tex]r=1.18219102629-1[/tex]

[tex]r=0.18219102629[/tex]

[tex]r=0.18[/tex]

[tex]r\approx 18\%[/tex]

Hence, stock's average annual growth rate during the period of 35 years is 18%.

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Answer:

28

Step-by-step explanation:

There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows

Answer:

2

Step-by-step explanation:

-1-11/-4-2 = -12/-6 = 2

The required slope for the linear relationship is -2.

Slope to be determine for table x = -4  2   5,  y = 1   -1  -7 showing linear relationship.

Slope of function is defined as the rate at which function is increasing.

Here, slope

[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]

Thus, the required slope for the linear relationship is -2.

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Answer:

14 +3 - 17

6-4 = 2

1 -9 = -8

Step-by-step explanation:

Answer:

14+3= 17

6-4= 2

1 -9= -8

Step-by-step explanation:

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 2a+b when the value of a is 5 and b is 4  is equal to 14.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression 2a+b, whose values are needed to be calculated when the value of a is 5 and the value of b is 4. Therefore, the value of the given expression 2a+b can be written as,

2a + b

Substitute the value of a and b,

= 2(5) + 4

= 10 + 4

= 14

Hence, the value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.

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Answer:

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

Let [tex]s=[/tex] total number of sixth-grade students.

It is given that 60% of sixth-grade students prefer pizza which is equivalent to 210 sixth-grade students. With this, the following can be written:

[tex]60\%s = 210[/tex]

[tex]0.6s=210[/tex] ([tex]60\%[/tex] can be converted into the decimal form [tex]0.6[/tex])

[tex]s = 210\div 0.6[/tex]

[tex]=350[/tex]

∴ There is a total of 350 sixth-grade students in the school.

Hope this helps :)

Answer:

The answer is C.

Step-by-step explanation:

Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :

$100 × 1.5 = $150

Next, you have to find the total amount :

($100×5) + ($150×3)

= $500 + $450

= $950

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[tex]\frac{1}{2}=\frac{-3}{7}q[/tex]

1/2*7/-3= -7/6

q = -7/6 NOT -11/6 so the statement is false

Answer:

the answer is d.

Answer:

no its not correct, the answer is d

Step-by-step explanation:

too long to explain, just trust me man

Answer:

Angle 1 = 128

Angle 2 = 52

Angle 3 = 68

Angle 4 = 60

Angle 5 = 124

Step-by-step explanation:

Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.

I hope this helps!

Answer:

4x+8=y

Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer

Answer:

x=20

Step-by-step explanation:

5x+4x=180

9x=180

/9 on both sides

x=20

The value of 4x and 5x is 80° and 100° respectively .

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.

According to the question

4x , 5x are angles given

As,

They are angles between  parallel line and same side of transversal line  

according to same-side interior angle theorem that are formed are supplementary .

i.e  there sum = 180°

4x + 5x= 180°

9x = 180°

x = 180°/9

x = 20°

So,

4x = 20 * 4 = 80°

5x = 20 * 5 = 100°

Hence, The value of 4x and 5x is 80° and 100° respectively .

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Answer:

Step-by-step explanation:

If the question is:

x^2 + 16 + 86 = (x+A)^2 + B

Then the answer is , A= +/- 4 and B=86

Answer:

It's 2

Step-by-step explanation:

Positive 2.

(not -1/2)

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

Answer: D

Step-by-step explanation:

When D is reflected over a horizontal line (think of it as a mirror on the ground with D on top of it), the reflection will show the letter D in the same way all over again.

I have attached a picture to show it. It's a tad unclear but I believe gets the point across.

Answer: 31

Step-by-step explanation:

180-20-35 = 125 (bottom triangle)

180 - 156 = 24

125 + 24 = 149

180-149 = your answer

Answer:

52 R17

Step-by-step explanation:

52 * 36 = 1872

1889 - 1872 = 17

--> 52 R17

Answer:

Step-by-step explanation:

   900000

+18765439

=27765439

Answer is 27765439

Answer:

i - 3abc

ii - 0

Step-by-step explanation:

i- abc,-2abc= -abc (think of it as 1-2)

-abc,+4abc=3abc (-1+4)

ii- 8xz,-2xz=6xz (8-2)

6xz,-6xz=0 (6-6)

What the other guy said :D

Answer:

$0.65 per pound

Step-by-step explanation:

Divide the total cost by the number of pounds to find price per pound.

$2.60 ÷ 4 = $0.65 per pound

9514 1404 393

Answer:

Step-by-step explanation:

Lines AA', BB', and CC' all converge at the origin. The origin is the center of dilation.

__

Each image point is twice as far from the origin as its corresponding pre-image point. The scale factor is 2.

Answer:

300 students

Step-by-step explanation:

divide 60 by 3 to find how many students there are per teacher: 60/3 = 20

multiply 20 by 15 to find how many students there are for 15 teachers:

20 x 15 = 300