1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
3 years ago
15

Explain how to find the x-intercept of the graph of y = 4x - 2.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

There are two ways to do this. The first of which is the algebraic method. Plug in y = 0 and solve for x.

y = 4x - 2

0 = 4x - 2 ... y is replaced with 0

4x-2 = 0

4x-2+2 = 0+2 ... we add 2 to both sides

4x = 2

4x/4 = 2/4 .... divide both sides by 4

x = 1/2

x = 0.5

The x intercept is x = 1/2 or x = 0.5

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

The other approach is to graph the equation y = 4x-2, and mark where the line crosses through the x axis. You should find it crosses through x = 1/2 or x = 0.5; the x intercept as an ordered pair would be (1/2, 0) or (0.5, 0)

side note: the equation y = 4x-2 goes through the points (0,-2) and (1,2). You find this by plugging in x = 0 and x = 1 respectively to find the corresponding y values.

You might be interested in
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thu
babymother [125]

\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}

4 0
1 year ago
Which of the following values are in the range of the function graphed below? Check all that apply​
a_sh-v [17]

Answer:

B, C, D

Step-by-step explanation:

In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say

5 lines = distance of 10

divide both sides by 5 to find the distance for each line

1 line = distance of 2

The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.

4 0
2 years ago
Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What
ivolga24 [154]

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

3 0
3 years ago
A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits
eimsori [14]
<span>area is side by side.
so do 6.25*6.25 and that equals 39.0625
</span>
5 0
2 years ago
Identify the four step used to solve this equation 4(x-7)=2x-6
irinina [24]
1. Solve the bracket 4×x and 4 × -7
4x-28=2x-6
2. Get the x on one side and the numbers on the other so: first +28
4x=2x+22 now -2x
so 2x=22 and now you only need to divide into 2
x=11
3 0
3 years ago
Other questions:
  • Can someone please tell me the values of X and Y ?
    6·1 answer
  • Helen lost her marbles. But then she found them and put them in 4 bags with m marbles in each bag. She had 3 marbles left over t
    7·1 answer
  • What is the surface area of a cylinder with the hight of 7 and the diameter of 9​
    15·1 answer
  • PLZZZ HELP FASTTTTT
    8·2 answers
  • The figure shows a pair of parallel line segments on a coordinate grid:
    5·2 answers
  • If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C​
    7·2 answers
  • Football team scores 42 points in 3<br> games. Find the unit rate
    12·2 answers
  • Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
    11·1 answer
  • Emma is 10 years old. She asked her father how old he was. Her father answered: "When you will be my age, I will be 70." How old
    8·2 answers
  • Can somebody help me????????????
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!