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3 years ago

What are the intercepts on a graph for y=4x-2

2 answers:

6 0

The x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0

x intercept
solve for where y=0

0=4x-2
add 2
2=4x
divide 4
1/2=x
x intercept at x=1/2 or at the point (1/2,0)

y intercept
x=0
y=4(0)-2
y=0-2
y=-2
y intercept at y=-2 or the point (0,-2)

x intercept at x=1/2 or at the point (1/2,0)
y intercept at y=-2 or the point (0,-2)

ollegr [7]3 years ago

3 0

The intercepts for this equation is (1/2,-2) I hope this helps

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Miss larner had a bowl of jolly ranchers sitting on her desk. One day sean decided to grab a handful of the candies and took 1/3

soldier1979 [14.2K]

Answer: 36 candies were in the bowl when the day started

Step-by-step explanation:

Let x represent the number of candies in the bowl initially.

One day sean decided to grab a handful of the candies and took 1/3 of the candies. This means that Sean took x/3 candies. Number of candies left would be x - x/3 = 2x/3.

Since he decided to return 4 of them, the remaining number of candies would be

2x/3 + 4 = (2x + 12)/3

Tracy also helped herself and took 1/4 of the candies in the bowl. This means that she took

1/4(2x + 12)/3 = (2x + 12)/12

The number of candies left would be (2x + 12)/3 - (2x + 12)/12

= 4(2x + 12) - (2x + 12)/12 = (8x + 48 - 2x - 12)/12 = (10x - 36)/12

Since she put down 3, the number remaining would be

(10x - 36)/12 + 3 = (10x - 36 + 36)/12 = 10x/12

Eugene grabbed 1/2 of the candies in the bowl. This means that he took

1/2 × (10x)/12 = (10x)/24

The amount remaining is

(10x)/12 - (10x)/24 = [2(10x) - 10x)]/24

= [20x - 10x]/24 = 10x/24

He put those two back. It means that amount left would be

(10x)/24 + 2

At the end of the day, there are 17 candies left. This means that

10x/24 + 2 = 17

10x/24 = 17 - 2 = 15

10x = 24×15 = 360

x = 360/10 = 36

4 0

2 years ago

Can someone help me in this algebra questions please

alexgriva [62]

For question 7 the answer is x=0.5

8 0

2 years ago

Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla

olganol [36]

Answer:

$1.5\text{ hours}$

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

$M=\frac{1\text{ b}}{8\text{ hr}}$

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

$A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}$

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

$D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}$

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})$

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})$

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})$

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2$

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})$

Make the fractions with common denominators. Our common denominator here is 24. So:

$3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})$

Add:

$=3(\frac{13}{24})$

Multiply. So, our first term is:

$=\frac{39}{24}$

Second Term:

We have:

$\frac{1}{2}(\frac{1}{8}+\frac{1}{4})$

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

$\frac{1}{2}(\frac{1}{8}+\frac{2}{8})$

Add:

$=\frac{1}{2}(\frac{3}{8})$

Multiply:

$=\frac{3}{16}$

So, our equation is now:

$\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2$

Add on the left. Use the common denominator of 48. So:

$\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2$

Add:

$\frac{87}{48}+\frac{1}{8}x=2$

Subtract 87/48 from both sides:

$\frac{1}{8}x=2-\frac{87}{48}$

Let turn into a fraction with a denominator of 48. So:

$\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}$

Subtract:

$\frac{1}{8}x=\frac{9}{48}$

Reduce the right using 3:

$\frac{1}{8}x=\frac{3}{16}$

Multiply both sides by 8:

$x=\frac{24}{16}$

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

$x=3/2=1.5\text{ hours}$

And we're done!

3 0

3 years ago

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o

Dennis_Churaev [7]

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

3 0

3 years ago

Read 2 more answers

What is another way to write the absolute value inequality

devlian [24]

Answer:

absolute value its written as:

| expression | > x

*> written can also be < , ≥ , or ≤

| | (two vertical lines on both sides of something) indicate absolute value

(absolute value considers the space between a number and 0;

| x | = 3

then x could be = 3 or = -3

you can also think of anything inside | | to be written as positive;

| 3 | = 3

| -3 | = 3)

you could also right, from this example: | x | > 3

our value of x could either be greater than 3, or, our x-value is negative (and only the absolute value is greater than 3, meaning that negative -x, is greater than three)

we separate these possibilities into two expressions:

x > 3 - x > 3

· -1 · -1 {inequalities flip direction when multiply by negative}

x < -3

so, x > 3 and x < -3 can be combined:

x > 3 <em>or </em> x < 3

(graph of example attached)

hope this helps!!

3 0

1 year ago