What are the coordinates of the y-intercept of the line shown below? MI think it’s C. Just wanted to make sure! Please and thank you!

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

$11

Step-by-step explanation:

Kim has $20

→ Subtract $12 since "She spends $12 on a fishing pole"

$20 - $12 = $8

→ Add $3 since " she finds $3"

$8 + $3 = $11

Answer:

x>(3/2)

Step-by-step explanation:

(2/3)x+6>5

        -6    -6

(2/3)x>1

÷(2/3)   ÷(2/3)

x>(3/2)

The height of the tree stump is approximately 32.5 inches. Where its radius as 22 in and its volume as 49265 cubic inches.

The volume of a right cylinder is calculated as follows:

V = πr²h

where V denotes volume, r denotes radius, and h denotes height.

We are provided the radius and volume of the tree stump in this scenario. We may plug these values into the algorithm to find the height:

49265 = π(22²)h

Simplifying the right-hand side, we get:

49265 = 484πh

Dividing both sides by 484π, we get:

h = 49265 / (484π)

h = 49265 / (484 * 3.14)

h = 49265/ 1519.76

h = 32.416

h ≈ 32.5

Therefore, the height of the tree stump is approximately 32.5 inches.

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Answer: 3

Step-by-step explanation: PEMDAS

First you multiple 1 and 4 then add 1 and subtract it by 2/

Answer:

0

Step-by-step explanation:

1 x 4 = 1      1 + 1 = 2      2 - 2 = 0  

Answer: 1200 dollars

Step-by-step explanation:For this question we use the formula:

principal amount x interest rate/100 x time

4000 x 6/100 x 5

4000 x 0.06 x 5

1200

Answer:

$5,387.42

Step-by-step explanation:

Use the formula:

\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\\\)

where A = amount accrued (principal + interest)
P = initial deposit

r = annual interest rate as a decimal

n = number of times compounded annually

t = number of years

Given
P = 4000
r = 6/100 = 0.06
n = 4 times a year
t = 5 years

\(A = 4000\left( 1 + \dfrac{0.06}{4}\right)^{4\cdot 5}\\\\A = 4000 ( 1+ 0.015)^{20}\\\\A = 4000 (1.015)^{20}\\\\A = \$5,387.42\)

Answer:

x^2 +4y +z = 1

Step-by-step explanation:

Surface consisting of all points P to point (0,1,0) been equal to the plane y =1

given point, p (x,y,z ) the distance from P to the plane (y)

| y -1 |

attached is the remaining part of the solution

Answer:

y= 5x -9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

y= 5x -15

Gradient of given line= 5

Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.

Substitute m=5 into the equation:

y= 5x +c

To find the value of c, substitute a pair of coordinates.

When x =1, y= -4,

-4= 5(1) +c

-4= 5 +c

c= -4 -5

c= -9

Thus, the equation of the line is y= 5x -9.

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer:

1

Step-by-step explanation:

6x+10=2x+14

6x-2x=14-10

4x=4

x=1

Answer:

Required inequalities:

The graph is attached.

The darker triangle is the solution region.

The solution examples:

Answer:

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Step-by-step explanation:

Answer:

The slope of the line is -2.

Step-by-step explanation:

Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.

But, if it was in fraction form the slope would be -2/3.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Answer:

Step-by-step explanation:

Hello and Good Morning/Afternoon:

The table shows a linear function:

 \(\hookrightarrow \text{This means that the slope is consistent between all the points}\\\)

Thus we can use any point to help us find our slope:

 \(\hookrightarrow \text{let's pick two points}\)

       \(\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3\)

Answer: 3

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The curve of best fit is discussed below.

Given is the curve of best fit.

Therefore, the curve of best fit is discussed above.

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Here, we want to aolve for the value of x

We proceed by cross-multiplying

We have this as follows;

Answer:

its x = 2 :)

im rlly sorry if its wrong

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer: 3/28

Step-by-step explanation:

Here we go, whenever you see the word "of" this mean to multiply

2/7 x 3/8 = 3/28

 Answer: 3/28 .

I hope this help...

Answer:

Step-by-step explanation:

On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer:

a) The mean μ = 70.\(\overline 5\)

The variance = 127.3203

The standard deviation is 11.28363

b) i) The first quartile is 63.25

ii) The third quartile is 75.5

iii) The 90th percentile is 88.2

Step-by-step explanation:

a) The city temperatures ae presented as follows;

Fahrenheit; 68, 75, 87, 99, 72, 72, 65, 64, 61, 70, 77, 70, 67, 73, 83, 55, 58, 54

The data points in the sample, N = 18

The mean, μ = ∑\(x_i\)/N

Where;

\(x_i\) = The value of each data point

N = The sample size = 18

From Microsoft Excel, we have;

∑\(x_i\) = 1,270

∴ μ = 1,270/18 = 70.\(\overline 5\)

The mean μ is 70.\(\overline 5\)

The variance is given as follows;

\(\sigma^2 =\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

The variance = 127.3203

The standard deviation is given as follows;

\(\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

We get σ = 11.28363

The standard deviation, σ = 11.28363

b) i) The first quartile, Q₁, is the (n + 1)/4th term

∴ The first quartile is the (18 + 1)/4 = 19/4 = 4.75th term

54, 55, 58, 61, 64, 65, 67, 68, 70, 70, 72, 72, 73, 75, 77, 83, 87, 99

The first quartile = 61 + (64 - 61)×0.75 = 63.25

ii) The third quartile, Q₃, is the 3×(n + 1)/4th term

∴ The third quartile is the 3×(18 + 1)/4 = 57/4 = 14.25th term

Therefore;

Q₃ = 75 + (77 - 75)×0.25 = 75.5

The third quartile is 75.5

iii) The 90th percentile = 90/100 × (18 + 1)th term = 17.1th term

∴ The 90th percentile = 87 + (99 - 87)×0.1 = 88.2

Given the rational number:

Given the square root:

Let's determine if the rational number is a reasonable approximation for the square root.

A rational number is a number that can be expressed as a fraction or ratio of two numbers.

Now, let's first determine if the square root is a rational number.

The square root is not a rational number.

Since it is not a rational number, it cannot be the approximation of any rational number.

Therefore, the rational number is NOT a reasonable approximation of the square root.

ANSWER:

The equation |x+2|< 2 is equivalent to

   -2 < x+2 < 2

which means

   -4 < x < 0  when you subtract 2 from each side of both inequalities.

The graph for this would have open circles at -4 and 0, with the shading between.  

This could also be drawn with parentheses at -4 and 0, with the shading between.

Based on the question you posted, it looks like it'd be C or D, but the graphs didn't come through, so you'll have to use the description above to pick the right graph.  

The solution to the absolute inequality |x+2|< 2 is x >-4 and x < 0. This represents the values of x where x+2 is less than 2 units away from zero. The correct answer is option C.

Firstly, we need to understand what the absolute value function |x+2|< 2 means. The absolute value function returns the 'distance' a number is from zero. It is always positive. Thus, when we find an absolute value inequality like |x+2|< 2, it means we're looking for the values of x where x+2 is less than 2 units away from zero.

So, we can split the inequality into two: (1) x + 2 < 2 and (2) -(x + 2) < 2. Solving these inequalities we get: (1) x < 0 and (2) x > -4. Hence, the solution is -4 < x < 0.

Looking at the options, answer option C: 'Solution: x >-4 and x < 0' is correct.

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After simplification the value of expression is,

⇒ (2x - 4) / (x + 5)

We have to given that,

An expression to simplify is,

⇒ 12 (x - 2)² / 6(x - 2) (x + 5)

Now, We can simplify as,

⇒ 12 (x - 2)² / 6(x - 2) (x + 5)

⇒ 12 (x - 2) (x - 2) / 6(x - 2) (x + 5)

⇒ 2 (x - 2) / (x + 5)

⇒ (2x - 4) / (x + 5)

Therefore, After simplification the value of expression is,

⇒ (2x - 4) / (x + 5)

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