Compared to last year, the population of boom town has increased by 24%. The population is now 6,600. What was the population last year?

Answer:  [tex](-\infty, -4][/tex]

Curved parenthesis at negative infinity

Square bracket at -4

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Work Shown:

[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]

The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]

Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

Answer:

4.5

Step-by-step explanation:

60/20=3

3*1.5=4.5

Answer:

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

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

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Answer:

C

Step-by-step explanation:

I choose C because when you have an exponent whatever number u have over the c you multiply whatever number is chosen and when divide 100 by 10 you get 10. Hope I helped❤✌

Answer: 10

Step-by-step explanation:

10 x 10 = 100

50 x 50 = 2,500 which is wrong

-10 x 10 = -100 false

Answer:

B

Step-by-step explanation:

When graphed, it doesnt not pass through the origin, but it is completely staight/linear.

Answer:

d

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

Answer:

35

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Answer:

The answer is G because:

the y-intercept is -3 because that's what y is when x is 0

the slope is 2 because the y-values are going up by 6 every time and the x values are going up by 3. slope is rise/run (rise is y because it's axis is vertical and the run is x because it's axis is horizontal) so the slope is 6/3 or simplified to 2.

to write the equation you plug in the values above into the slope intercept form which is:

y = mx + b

where m is the slope and b is the y-intercept

so the answer is y= 2x -3 or G

Step-by-step explanation:

Answer:

Get the data from the table:

Median is the middle number:

Mean is the average:

Rachel and Sarah spent:

Answer: H

Step-by-step explanation:

7% of 21 is 1.47

Answer:

H. 1.47$ tax

Step-by-step explanation:

price of pants is 21 plus 7 percent tax

21/100=0.21

0.21 is 1 percent multiply by 7

1.47 dollars tax

The difference of the expression is 6x² - 15x - 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as

(4x² - 12x + 6) and (10 + 3x -2x²)

Now, simplifying the expression

= 4x² - 12x +6 - (10 + 3x -2x²)

= 4x² -12x+ 6 -10 -3x + 2x²

= 6x² - 15x - 4

Thus, the simplified expression is 6x² - 15x - 4.

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Answer:

x = 10 inches

Step-by-step explanation:

P = 2 x (L + W)

36 inches = 2 x (8 + W)

36 = 16 + 2W

2W = 20

W = 10 inches

Answer:

m= 15 b=25

Step-by-step explanation:

the slope is 15 because thta is the unit rate and the missing point that isnt shown is (0,25)

Answer:

T=10c+2p

Step-by-step explanation:

Answer:

James: $455

Mary: $469

Step-by-step explanation:

Tell me if it is wrong I would like to know!

:)

Also I'm new on Brainly so don't go too hard on me if this is wrong plz.

Answer:

70 ounces

Step-by-step explanation:

We can solve the weight of 35 candy bars by first finding the weight of one and multiplying by 35.

If 13 candy bars each weigh 26 ounces, one will weigh 2. We can write this out as shown:

13x = 26

x = 2

Now we simply multiply by 35 to get the total weight of 35 candy bars:

35x = 35(2) = 70

Answer:

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad\ frac{a}{c}\pm\frac{b}{c}=\frac{a\pm\:b}{c}$ Since the denominators are equal ...

Step-by-step explanation:

Addition and subtraction of complex numbers works in a similar way to ... Example 1- Addition & Subtraction. a. ... (6+3)+(7−5)j=9+2j ... 25 + 30j + 9(-1)` ... our final answer is real only (it does not contain any imaginary terms. ... above - we multiply top and bottom of the fraction by the conjugate of the bottom.

Answer: The answer is B

Step-by-step explanation:

Answer:

I think it would be b! Let me know if its right or wrong! <3

Step-by-step explanation:

The given equations are

[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

[tex]-2x+2y=-2\cdots(iii)[/tex]

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]

Putting the value of y=3 in equation (i), we have

[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]

Putting the value of x=4 in equation (i), we have

[tex]y=4-1=3[/tex].

Hence, the required solution is (4,3).

Answer:

C≥12,E≥6,C+E≤26

Step-by-step explanation:

i just took the quiz and got it right

The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The Inequality to graduate you must take at least 12 core credits,

C≥12

The Inequality to graduate you must take at least 6 electives credits,

E≥6

No more than a total of 26 credits for both core and electives.

C+E≤26

Hence, the correct option is A.

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Answer:is 18 yd the radius

Step-by-step explanation:

if so its 113.1

Answer:

42.39in^3

Step-by-step explanation:

half of 3= 1.5

Which 1.5 would be our radius. (r)

V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)

V= (3.14) x 1.5^2 x 6

V= (3.14) x 2.25 x 6

V= 42.39in^3

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

she made 1300 biscuits

Answer:

7467.4 square meters djdkdkdmmdkd

Step-by-step explanation:

These aren't a perfect square bec. 1 st and 3rd terms must be perfect square

A(X) = X^2+6X +13 be perfect square if 13 Changed to 9

= X ^2+6X +9

A(x)= 2X^2+8X +14 be perfect square

= 4X ^2+ 8X + 16

Answer:

1,368

Step-by-step explanation:

Answer:

1369

Step-by-step explanation: