Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices

y is independent and x is dependent

x is independent and y is dependent

both x and y are independent

both x and y are dependent

Answer:

A.

Step-by-step explanation:

i just took it

Answer:

the answer is c I just did the test

Answer:

24

Step-by-step explanation:

To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.

Let's turn the two sentences about their ages into equations:

m=Mrs. Roberts and 3s= three times as old as her son

m=3s

m+s is the sum of their ages

m+s=48

Now substitute the first equation into the second one:

m+s=48

(3s)+s=48

4s=48

s=12

The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:

m=3s

m=3(12)

m=36

Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:

36−12=24

Mrs. Roberts was 24 when her son was born.

credit to CountryGirl on Socratic Q&A

Answer:

Area = 64pi, Circumfrence=2pi(8)

Step-by-step explanation:

Answer:

Depends. Down below.

Step-by-step explanation:

It depends.

Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft

Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft

cereal is the least amount of numbers

Answer:

hey there

x = 4

Step-by-step explanation:

Let's solve your equation step-by-step.

−8−x=x−4x

Step 1: Simplify both sides of the equation.

−8−x=x−4x

−8+−x=x+−4x

−x−8=(x+−4x)(Combine Like Terms)

−x−8=−3x

−x−8=−3x

Step 2: Add 3x to both sides.

−x−8+3x=−3x+3x

2x−8=0

Step 3: Add 8 to both sides.

2x−8+8=0+8

2x=8

Step 4: Divide both sides by 2.

2x/2  = 8/2

x= 4

have a good day!!!

Answer:

x= 4

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

vertical maybe if try it and see

Answer: Answer is A. y = 4x - 3

Graph the line using the slope and y-intercept, or two points.

Slope:  2/ 5

y-intercept:  ( 0 , − 1 )

x           y

0          − 1

5/ 2       0

Step-by-step explanation:

How do you graph y=4x-3?

In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.

Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.

Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.

Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.

(1.) Determining the point of the x-intercept:

For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:

y = 4x ‒3

0 = 4x ‒3

0 + 3 = 4x ‒3 + 3

(1/4)(4x) = (1/4)(3)

x = 3/4

Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).

(2.) Determining the point of the y-intercept:

To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).

(3.) Check Point

In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:

y = 4x ‒3

= 4(2)‒ 3

= 8 ‒ 3

y = 5

Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).

(4.) Plot the points

Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.

These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.

Answer: x² + 2xy + y² = 9

x² + 2xy + y² = (x + y)²

with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:

[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]

Step-by-step explanation:

Answer:

Side PN=26

y=16

Step-by-step explanation:

I put a photo of my work. It’s easier to do that then to try and put it all in words

Answer:

X=0 or no solution

Step-by-step explanation:

-2x+4=-3x+4

cancel equal terms on both sides of the equation

-2x=-3x

move the variable to the left-hand side and change its sign

-2x+3x=0

collect like terms

x=0

Step-by-step explanation:

the formula to calculate number of terms in GP is : TN=a×r^n-1

Answer:

x = 18

Step-by-step explanation:

diagonals bisect each other so 12x = 216

x = 216/12

x = 18

Answer:

X is 40

Step-by-step explanation:

Look it up

Answer:

-3p-4

Step-by-step explanation:

-(7p+6)-2(-1-2p)

-7p-6+2+4p

-7p+4p-6+2

-3p-6+2

-3p-4

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

Answer:

3 9/16 lbs

Step-by-step explanation:

took quiz

Answer: 3 / 8

Step-by-step explanation:

Answer:

The answer is 6:1

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

ddd345

Step-by-step explanation:

step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.

step 2. A = P(1 + r/n)^(nt)

step 3. A = 1600(1 + .03/12)^((12)(5)

step 4. A = 1600(1.0025)^(60)

step 5. A = $1858.59

Answer:

39.1 minutes

Step-by-step explanation:

Given that:

Current wait time = 34 minutes

Current wait time is 15% shorter than average wait time when study started.

Average wait time when study started :

15% of current wait time :

0.15 * 34

= 5.1 minutes

Average wait time when study started :

34 minutes + 5.1 minutes

= 39.1 minutes

Answer:

i Don't understand what ur saying

Step-by-step explanation:

Answer:

Nagtatanong ka ba? kung ganun ano yun

Answer:

367meters

Step-by-step explanation:

220.2 = 0.6 * h

220.2/0.6 = 0.6 * h / 0.6

367 = h

367 meters

Answer:

May be c but I am not sure dear.

Step-by-step explanation:

64/(1+1+2)

= 64/4

= 16

1 : 1 : 2

mark = 1×16 = 16

dave = 1×16 = 16

ralph = 2×16 = 32

Step-by-step explanation:

hope it helps

please rate

Answer:

The complete square of the given quadratic equation

( x - 10)² = 67

The solution of the quadratic equation

  x = 18.2     and x = 1.8

Step-by-step explanation:

Step(i):-

Given that the quadratic equation

         x² - 20 x +33 =0

         x² - 2(10) x +(10)²-(10)²+ 33 =0

By using (a-b)² = a² -2ab + b²

       ( x - 10)² -100 +33 =0

         ( x - 10)² - 67 =0

        ( x - 10)² = 67

Step(ii):-

The complete square   (x - 10)² = 67

                                     x -10  = ±√67

                                    x -10 = ± 8.1853

                      x -10 = 8.2   and x -10 = -8.2

                      x = 10+8.2   and x = 10 -8.2

                      x = 18.2     and x = 1.8

Answer:

y=7x+6

Step-by-step explanation:

hope i helped

Answer:

4 or more hours

Step-by-step explanation:

I just took the test