The incomplete work of a student to solve an equation is shown below:

Step 1: 3x + 12 = 3
Step 2: ?
Step 3: x = −9 ÷ 3
Step 4: x = −3

What is the missing Step 2?

Answer:

Initial population is 3450 in the year 2000 and it decreases 80 every year.

Step-by-step explanation:

We are given with y=-80x+3450 where y is city's population and x is the number of years after 2000.

That is x=0 means the year 2000.

Hence y-intercept will represent the initial population which is nothing but 3450.

Since our equation slope =-80 which is negative means y is decreasing as x increases.

For x raises by 1, y decreases by 80.

That means population decreases by 80 for every year.

Answer:

The y-intercept indicates the population in the year 2000, so 3,450 people lived in the city in 2000. The negative slope indicates that the city is losing population. It loses 80 people each year.

Step-by-step explanation:

i just did the assignment

[tex]\left\{\begin{array}{ccc}x+y=-2\\2x-3y=-9\end{array}\right\\\\\text{multiply the first equation by 3}\\3(x+y)=3(-2)\qquad|\text{use distributive property}\\3x+3y=-6\\\\\underline{+\left\{\begin{array}{ccc}3x+3y=-6\\2x-3y=-9\end{array}\right}\qquad\text{add 3x+3y=-6 to 2x-3y=-9, and solve for x}\\.\qquad5x=-15\qquad|:5\\.\qquad x=-3\\\\\text{Substitute the value of x in the first equation (x+y=-2)}\\\\-3+y=-2\qquad|+3\\y=1\\\\\text{The solution for the system of equations is (-3, 1)}[/tex]

Answer:

...

Step-by-step explanation:

Answer:

He did not add 13 to 26.

Step-by-step explanation:

Given : Step 1: x − 13 = 26  

           Step 2: x = 26 − 13  

           Step 3: x = 39

To Find: Which statement best explains why Step 2 is incorrect in Colton’s solution?

Solution:

Correct steps

Step 1:[tex]x- 13 = 26[/tex]

Step 2:[tex]x = 26+13[/tex]

Step 3:[tex]x = 39[/tex]

So, this concludes that He did not add 13 to 26 in step 2

So, Option C is correct.

Hence He did not add 13 to 26.

Answer:

he did not add 13 to 26

Step-by-step explanation:

30×·15=4.50

then subtract 30 by 4.50 to get 25.50

.0825×30=2.475

now add 2.475+25.50+30= 57.975 round to 57.98

The final answer is 36.975. The expression simplifies to 36.975 when all calculations are completed.

1. 30 + (.0825 x 30):

To calculate this part, we first multiply 0.0825 (which is 8.25% written as a decimal) by 30. This gives us:

0.0825 x 30 = 2.475

Next, we add 30 to the result:

30 + 2.475 = 32.475

2. (15% x 30):

To calculate this part, we first convert 15% to a decimal by dividing it by 100:

15% = 15/100 = 0.15

Next, we multiply 0.15 by 30:

0.15 x 30 = 4.5

Now that we have the results from both parts, we add them together:

30 + (.0825 x 30) + (15% x 30) = 30 + 2.475 + 4.5 = 36.975

To know more about expression:

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Complete question is:

Solve the given expression: 30 + (.0825 x 30) + (15% x 30) =

f(a,b) = 2(a+b)

f(2,3) = 2(2+3)

f(2,3) = 2(5)

f(2,3) = 10

the top one, use the vertical line test and if their are more than two points on the vertical line when testing the points then the relation is not a function. Which tells you that the last three are not a function.

Solution :

Given, the equation [tex]y=-2x[/tex].

To graph the equation on the coordinate plane, we first need to derive the different points of the equation  [tex]y=-2x[/tex],

[tex]at\:\;x=0\Rightarrow y= -2(0)=0\\\\at\:\;x=1\Rightarrow y= -2(1)=-2\\\\at\:\;x=2\Rightarrow y= -2(2)=-4\\\\at\:\;x=3\Rightarrow y= -2(3)=-6\\\\at\:\;x=-1\Rightarrow y= -2(-1)=2\\\\at\:\;x=-2\Rightarrow y= -2(-2)=4\\\\at\:\;x=-3\Rightarrow y= -2(-3)=6[/tex]

The graph plotted using these points is shown in the figure,

The converse, the inverse, and the contrapositive of the statement

"If the figure is square, then the figure is a quadrilateral." is given below.

We have,

The statement: "If the figure is square, then the figure is a quadrilateral."

Converse:

The converse of the statement switches the "if" and "then" parts of the original statement.

Converse: If the figure is a quadrilateral, then the figure is square.

Inverse:

The inverse of the statement negates both the "if" and "then" parts of the original statement.

Inverse: If the figure is not square, then the figure is not a quadrilateral.

Contrapositive:

The contrapositive of the statement also switches the "if" and "then" parts and negates both of them.

Contrapositive: If the figure is not a quadrilateral, then the figure is not square.

Thus,

Converse: If the figure is a quadrilateral, then the figure is square.

Inverse: If the figure is not square, then the figure is not a quadrilateral.

Contrapositive: If the figure is not a quadrilateral, then the figure is not square.

Learn more about converse, inverse, and contrapositive here:

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It's [tex]\leq[/tex]

The correct symbol to make the statement -|y|? |-y| true is '=', because the absolute value of 'y' and '-y' are always equal, regardless of whether 'y' is positive or negative.

The correct symbol to make the statement true is '='. This is because the absolute value of any number, positive or negative, is always positive, or zero in the case of zero itself. So no matter what value 'y' takes on, |-y| and |y| will always be equal.

For example, let's consider that y = -5. Then |-5| = 5 and |5| = 5. Here |-y| and |y| are equal.

If y = 5, then |-5| = 5 and |5| = 5. Here too, |-y| and |y| are equal. Therefore, no matter if 'y' is positive or negative, the absolute value of 'y' and '-y' are always equal.

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Answer:

110 people need to attend the dance in order to cover the cost.

Step-by-step explanation:

Bentley Manufacturing Company wants to rent a private club for its annual dance.

The total cost will be $1,045.

The committee charges $9.50 per person.

So, let the total number of persons attending be = x

So, this situation can be represented as:

[tex]9.50x=1045[/tex]

This gives x = 110

So, 110 people need to attend the dance in order to cover the cost.

okay so you just plug in the x and ys. x is the first number, y is the second. then you just do them all out

So we know that an ordered pair looks like (x,y), right? For this inequality, we're supposed to plug in the values of x and y. If it isn't true, then the inequality does not represent the ordered pair.

First option: (0,1)

[tex]2x + 3y \geq -1[/tex] --> [tex]2(0) + 3(1) \geq -1[/tex] --> [tex]5 \geq -1[/tex]

So this option is correct.

Second option: (-2,1)

[tex]2x + 3y \geq -1 --> 2(-2) + 3(1) \geq -1[/tex]

--> [tex]-4 + 3 \geq -1 --> -1 \geq -1[/tex]

This is also correct.

Third option: (-6,0)

[tex]2(-6) + 3(0) \geq -1 --> -12 \geq -1[/tex]

This is not true, so this option is not correct.

Fourth option: (0,-1)

[tex]2(0) + 3(-1) \geq -1 --> -3 \geq -1[/tex]

This is not correct.

Fifth option: (2,-1)

[tex]2(2) + 3(-1) \geq -1 --> 4 - 3 \geq -1[/tex]

This is correct.

Answer:

The smallest possible page number that would have been assigned is 12.

Step-by-step explanation:

Number of pages assigned for homework = x

The 'x' is the number which divisible by both 2 and 12.

2 = 1 × 2 (prime number)

12 =  1 × 2 × 2 × 3 (Composite number)

The smallest possible page number that could have been assigned will be equal to lowest common multiple of 1, 1, 2, 2 and 3.

X = 1 × 1 × 2 × 2 × 3 = 12

To find the x-intercept of the equation y = -13x + 3, set y to zero and solve for x to get (3/13, 0). For the y-intercept, set x to zero and solve for y, resulting in (0, 3). These intercepts are then plotted and connected to graph the equation.

Determining X and Y Intercepts

To determine the x-intercept of the linear equation y = -13x + 3, we need to set y to zero and solve for x:

0 = -13x + 3

13x = 3

x = 3/13

So, the x-intercept is (3/13, 0).

To determine the y-intercept, we set x to zero and solve for y:

y = -13(0) + 3

y = 3

Thus, the y-intercept is (0, 3).

Plotting the Intercepts

On graph paper, mark the x-intercept at (3/13, 0) and the y-intercept at (0, 3). Then use a ruler to draw a straight line that passes through these points; this line represents the equation y = -13x + 3.

The slope is the rate of change along a line. However, in this scenario, the slope is not required to plot the line since we already have the intercepts. Nonetheless, for your reference, the slope (m) in the equation y = mx + b corresponds to -13, indicating a decline of 13 units in the y-direction for each single unit increase in the x-direction.

gUYS I FOUND THE RIGHT ANSWER ITS 1/9 ON GOD I JUST GOT IT RIGHT

The decimal 0.1 is a rational number because it can be expressed as the fraction 1/10, which is the correct answer to the student's question.

The student asked to choose a fraction that correctly completes the sentence: 0.1 is a rational number because it can be written as ___. The correct choice is 1/10. This is because the decimal 0.1 can be converted directly to the fraction 1/10 by placing the digit 1 in the numerator and 10 in the denominator, which signifies the decimal's place value. Rational numbers are those that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.

Answer:

New cars sold = 20,

Used cars sold = 25

Cars serviced = 290

Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

[tex]2\times x-15=2x-15[/tex]

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

[tex]12\times x+50=12x+50[/tex]

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

[tex]x+(2x-15)+(12x+15)=335[/tex]

Solving for 'x' we get:

[tex]x+2x+12x-15+50=335[/tex]

[tex]15x+35=335[/tex]

[tex]15x=335-35=300[/tex]

[tex]x=\frac{300}{15}=20[/tex]

Therefore, the number of new cars sold in that month is 20.

Number of used car sold [tex]=2x-15=2\times 20-15=40-15=25[/tex]

Number of cars serviced [tex]=12\times x+50=12\times20+50=240+50=290[/tex]

We can also cross check by summing them up:

[tex]290+25+20=335[/tex]

6 hours in the morning (from 6 am to 12 am)

1:45 in the afternoon (from 12 am to 1:45 pm)

sum

6:00 + 1:45 =

7:45 ( 7hours and 45 minutes)

6 am to 12 pm is 6 hours.

12 pm to 1 pm is 1 hour.

So you have 7 hours 45 min.

Since 45 min is 3/4 of an hour you would add it up to get 7.75 hours.

Your answer is 7.75 hours.

Hope this Helps!!

The formule is about area of a circle.

[tex]\pi x^{2} = a[/tex]

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

[tex]\frac{\pi x^2}\pi}=\frac{a}{\pi}[/tex]

[tex]x^2=\frac{a}{\pi}[/tex]

Taking square root on both sides, we get

[tex]\sqrt{x^2}=\sqrt{\frac{a}{\pi}}[/tex]

[tex]x=\sqrt{\frac{a}{\pi}}[/tex]

Expanding the expression, it is found that the statement is false.

---------------------------

[tex](a - b)^2 = (a - b)(a - b) = a^2 - ab - ab + b^2 = a^2 - 2ab + b^2[/tex]

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The statement is false. The square of difference of two quantities is not equal to the difference of their squares. The correct expression for [tex](a-b)^2 is a^2 - 2ab + b^2, not a^2 - b^2.[/tex]

The statement For any two integers a and b,[tex](a-b)^2 = a^2-b^2[/tex] is false. Let's illustrate why this is incorrect with an example. If we let a = 2 and b = 1, then the left-hand side of the equation [tex](a-b)^2[/tex] would give us [tex](2-1)^2[/tex] = 1 and the right-hand side of the equation [tex]a^2 - b^2[/tex] would give us 2² - 1² = 3 which are not equal.

It's important to note that (a - b)² can be expanded to a² - 2ab + b² in accordance with the square of a binomial formula, which is definitely not equal to [tex]a^2 - b^2[/tex]. A common mistake is to drop the middle term in the expansion (-2ab), which leads to this incorrect equation.

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hello again

17-1/49 is your correct answer thank you and have a great day please mark me as brainliest if can

Answer:

Expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

Step-by-step explanation:

We have to find a expression which represents

“seventeen more than one-fourth y”

one-fourth y= [tex]\dfrac{1}{4}y[/tex]

So, seventeen more than one-fourth y= [tex]\dfrac{1}{4}y+17[/tex]

Hence, expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

Remark

The formula for a discriminate is b² - 4*a*c

a = 2

b = 1

c = - 3

So the discriminate =

D =  (1)² - 4*2*(-3)

D = 1 - - 24

D = 25

The two equations are vertical angles, which mean they are equal.

Set each equation to equal each other and solve for x.

3x-3 = 6(x-10)

Simplify the right side:

3x-3 = 6x-60

Subtract 3x from each side:

-3 = 3x - 60

Add 60 to each side:

57 = 3x

Divide both sides by 3:

x = 57 / 3

x = 19

Step 1: Add 3 to both sides.

2x-3+3=7+3

2x=10

Step 2: Divide both sides by 2.

2x/2=10/2

x=5

Standard Form 2x-10=0

Factorization 2(x -5)=0

Solution x=10/2=5

ANSWER

22

EXPLANATION

22.48 rounded to the nearest whole number is 22.

The reason is that the 4 after the decimal point is less than 5 so we won't round up.

Answer:

The round off number is 22.

Step-by-step explanation:

The number = 22.48

Nearest whole number = 22

Explanation:

the answer to that is 0.59

Answer:

0,900 or 0,9

Step-by-step explanation:

10/17 = 10 ÷ 17 = 0,588235

Hope it helped,

BioTeacher101

Answer:

A 1/1,000,000

Step-by-step explanation:

Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help.

Answer:

Step-by-step explanation: B) 2x - 15 ≥ 4y is the correct answer