How much closer to the sun is one planet than the other?

Answer:

4 possible real zeroes

solutions are

[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]

x = 1

x = -1

Step-by-step explanation:

4th order polynomial therefore there are 4 possible solutions.

factoring it:

(x^2-3)(x^2-1)

Solve for x

x^2 - 3 = 0

x^2 = 3 ; take the square root of both sides

[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]

x^2 - 1 = 0

x^2 = 1

x = 1

x = -1

Answer:

In 8 months both gym memberships will cost the same and that cost will be $464

Step-by-step explanation:

Linear Models

To compare two gym memberships, we can help Casey to form one model for each gym.

One of them charges a $248 joining fee plus $27 per month. The model for this gym is:

G1 = 27m + 248

Where m is the number of months.

The other gym has no joining fee but charges $58 per month. It's model is:

G2 = 58m

The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:

27m + 248 = 58m

Subtracting 27m and swapping the equation:

58m - 27m = 248

Simplifying:

31m = 248

Solving:

m = 248/31

m = 8

When m=8, both gyms charge the same:

G1 =27*8 + 248= $464

G2 = 58*8 = $464

Thus, in 8 months both gym memberships will cost the same and that cost will be $464

Answer:

$37.50 per month

Step-by-step explanation:

150/4 = 37.50 per month

The possible amount of money in the other piggy bank correct is x < 2.69.

Given that,

Teddy has two piggy banks.

And, The difference in the amount of money between the two banks is no more than $10.

Here, One piggy bank has $7.31 in it.

Let us assume that,

The amount of money in the other piggy bank  = x

Hence, the inequality is,

7.31 + x < 10

Solve for x,

x < 10 - 7.31

x < 2.69

Therefore, x < 2.69 is the possible amount of money in the other piggy bank.

To learn more about inequality visit:

https://brainly.com/question/25944814

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Answer:

$3360

Step-by-step explanation:

7% of $6000=$420

$420 time 8= $3360

Hope this helped! :)

Answer:

$3,360

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

Answer:

It would be 13 questions.

Step-by-step explanation:

If you had to do questions 31 through 51 for homework it would be 13 because...

51 - 38 = 13

Answer:

13

Step-by-step explanation:

51 - 38 = 13

also 13 + 38 = 51

brainliest.

Answer:

The area of circle = πR ^2

And diameter = 7 units

By interchanging d in R =d/2 = R =7/2 = 3.5

Step-by-step explanation:

Hope it's help ^_^

Answer:

(−1)(5x+2)

Step-by-step explanation:

I googled it

Answer:

(x-1)(5x+2)

Step-by-step explanation:

5[tex]x^{2}[/tex] + 2x - 5x - 2

(5[tex]x^{2}[/tex] + 2x) (- 5x - 2)

x(5x + 2) -1(5x + 2)

(x-1)(5x+2)

Answer: 3:1

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

if you are talking about a dice roll, then the probability of getting anything is 1/6

Step-by-step explanation:

number of minutes I guess

Answer:

*rolls eyes* I didn't think this would be the community where moderators are missed. Oh well, she clearly doesn't need help with differential calculus or Python so I wish her best.

Step-by-step explanation:

Answer:

oof that is messed up

Answer:

24 is the answer

Step-by-step explanation:

answer is 24 for base

Answer:

It is 1.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: KVL

Step-by-step explanation:

This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle

Answer:

B. 8

Step-by-step explanation:

Calculate how many 2 point answers and 5 point answers there are.

2 x 8 = 16

Since there are half as many 5 point answers as there are 2 point answers,

5 x 4 = 20

calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.

8 + 4 = 12

Subtract that number by the total questions, which is 28.

28 - 12 = 16

Next figure out how many 4 point questions you had (28-12=16)

16 x 4 = 64

To check your work add up the totals and see if they match up to 100.

16 + 20 + 64 = 100

Step-by-step explanation:

Answer:

-6x + y < 3

Step-by-step explanation:

After y = 3 the shading hits the y axis!

Brainliest Appreciated! Hope I helped!

Answer: 3/14

Step-by-step explanation:

Answer:

slope = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]            (-3, 4) (-7, -5)

[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

Answer:

(x+1)(x-2)(x-3)^2

Step-by-step explanation:

Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!

Answer:

second one..........

The point-slope form of a linear equation is represented by y = mx + b.

Option A is the correct answer.

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The general equation of a straight line is given as:

y = mx + c,

where m = slope of the line and c = y-intercept.

We have,

y = mx + b _____(1)

y - y1 = m(x - 1) _____(2)

Ax + By = 0 _____(3)

y=kx ______(4)

From all the equations given above, we see that,

Equation (1) is in the form of a point-slope.

Thus,

The point-slope form of a linear equation is represented by y = mx + b.

Option A is the correct answer.

Learn more about equation of a line here:

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Answer:

u

Step-by-step explanation:

Answer:

kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

Answer:

x < 3

Step-by-step explanation:

3x - 2x - 2 < 1

3x - 2x < 1 + 2

x < 1 + 2

x < 3

For the graph, look at the picture.