Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square roots

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:

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

Answer: 3 / 8

Step-by-step explanation:

Answer:

The answer is 6:1

Step-by-step explanation:

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

cereal is the least amount of numbers

Answer:

si porq si porq si si dices si es si

Step-by-step explanation:

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

Answer:

32

Step-by-step explanation:

ddd345

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

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.

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:

3 9/16 lbs

Step-by-step explanation:

took quiz

Answer:

A.

Step-by-step explanation:

i just took it

Answer:

the answer is c I just did the test

Answer:

similar = only the angles are the same

congruent = angles and sides are the same

Answer: 105 = WXZ

Step-by-step explanation:

180 = WXZ + 75

subtract both sides by 75 and you get WXZ is equal to 105

I'm not 100% sure, lmk if I'm wrong

Answer:

15:49

Step-by-step explanation:

15 : 10+12+5+22

15 : 49

Can't be simplified further.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

If you mean,

[tex] \frac{5}{2k} + 1 = - 9[/tex]

Then the answer would be,

[tex]k = - \frac{1}{4} [/tex]

But, if you mean

[tex] \frac{5}{2} k + 1 = - 9[/tex]

Then the answer would be,

[tex]k = - 4[/tex]

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:

vertical maybe if try it and see

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:

$360.00

(I hope this was helpful)

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

Answer:

i Don't understand what ur saying

Step-by-step explanation:

Answer:

Nagtatanong ka ba? kung ganun ano yun

Answer:

0

Step-by-step explanation:

Answer: -2.5

Step-by-step explanation:

Answer:

25 cm

Step-by-step explanation:

Answer:

4 or more hours

Step-by-step explanation:

I just took the test

Answer:

X is 40

Step-by-step explanation:

Look it up