6. y = 1/5 x + 2
State the slope and the y-intercept for the graph of each equation.

Answer:

B

Step-by-step explanation:

An expression that represents the measure of the third side is 4x.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the triangle is 3x² - 7x + 2.

And the measures of the two sides are x² - x - 4 and 2x² - 10x + 6.

The measure of the third side = the perimeter of the triangle - (the total measure of the two sides)

The measure of the third side = 3x² - 7x + 2 - (x² - x - 4 + 2x² - 10x + 6)

The measure of the third side = 3x² - 7x + 2 - (3x² - 11x +2)

The measure of the third side = 4x

Therefore, the measure of the third side = 4x.

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Answer:

x < 0  , y > 0

Step-by-step explanation:

In quadrant II, the x variable is less than 0 and the y variable is greater than 0

x < 0  , y > 0

Answer:

x < 0 and y > 0

Step-by-step explanation:

Quadrant II is the upper left quadrant.

In that quadrant, all x values are negative since it's to the left of the y-axis.

In that quadrant, all y values are positive since it's above the x-axis.

Answer: x < 0 and y > 0

Answer:

Its n = 45

Step-by-step explanation:

Multiply both sides of the equation by 3 .

3 ⋅ \(\frac{n}{3}\) = 3 ⋅ 14

Simplify both sides of the equation.

n = 45

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of n for the equation n/3 = 15 is 45.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 3 = 5

We have,

n/3 = 15

We need to find for n.

Multiply 3 into both sides of the equation.

3 x n/3 = 3 x 15

n = 45

Thus the value of n for the equation n/3 = 15 is 45.

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So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.

IQR = Q3 - Q1 = 65 - 59 = 6.

The data set does have one outlier, The value 77.

It is above the upper outlier limit of 74.

a)To find the quartiles, we first need to arrange the data in order:

55 56 57 59 60 60 61 62 62 62 63 64 65 65 77

The median is the middle value of the data set, which is:

Median = 62

To find the first quartile (Q1), we take the median of the lower half of the data:

Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58

To find the third quartile (Q3), we take the median of the upper half of the data:

Q3 = Median of {63, 64, 65, 65, 77} = 65

b)The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 65 - 58 = 7

c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.

Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5

Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5

Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.

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To maximize the number of people that can be fed, subject to the constraint that the total cost of rice and beans cannot exceed $2,000,000. Let's first rewrite the cost constraint as an equation:

38.5x + 35y = 2,000,000

Now we can rewrite the expression for P in terms of one variable.

How optimal allocation for famine relief funds?

To find the maximum number of people that can be fed, which means we need to maximize the function P= 1.1x +y - 108 subject to the budget constraint:

38.5x + 35y = 2,000,000

First, we can rewrite the budget constraint as:

77x + 70y = 4,000,000y - 108.

To do this, we can use the constraints provided by the budget and the prices of rice and beans. Let's assume that the organization will spend all of the $2,000,000, so we have the equation:

38.5x + 35y = 2,000,000

This represents all the possible combinations of sacks of rice and beans that can be bought with the given budget.

To make the problem easier to work with, we can solve for y in terms of x:

y = (2,000,000 - 38.5x) / 35

Now we can substitute this expression for y into the function for P:

P = 1.1x + (2,000,000 - 38.5x) / 35 - 108

Simplifying this, we get:

P = (14x - 3250) / 35

To maximize P, we can take the derivative and set it equal to zero:

dP/dx = 14/35 = 0

Solving for x, we get:

x = 100,000/14

x = 7,142.857

Since we can't buy a fraction of a sack, we round down to the nearest whole number:

x = 7,142

Now we can use the equation we derived earlier to find the corresponding value of y:

y = (2,000,000 - 38.5 x) / 35

y = (2,000,000 - 38.5(7,142)) / 35

y = 22,000

Therefore, the maximum number of people that can be fed is:

P = 1.1 x + y - 108

P = 1.1(7,142) + 22,000 - 108

P = 30,346

So, the organization should buy 7,142 sacks of rice and 22,000 sacks of beans to feed the maximum number of people.

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The number of points of intersection for the graphs of the equations is infinite.

Point of intersection refers to the point at which two lines intersect on a graph. The graph of the equation refers to the visual demonstration of the equation obtained by plotting all the points of an equation on a graph. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane. If there are three variables, the graph is in three-dimensional coordinates.

Simplifying the given equations:

i) x/2 + 5y = 6

x + 10y = 12

ii) 3x + 30y = 36

3(x + 10y) = 36

x + 10y = 12

As the equations are equal lines, they will intersect at infinite times.

Note: The question is incomplete. The complete question probably is: How many intersections are there of the graphs of the equations below? x/2 + 5y = 6 3x + 30y = 36 none one two infinitely many

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The numbers we got from the test tell us that it is very unlikely that this difference is just a coincidence.

An independent samples t-test was conducted to compare the means of the two unrelated groups.

The results indicated a significant difference between the groups, t(38) = 2.65,

p = .012.
To interpret this, the independent samples t-test helped us understand whether there is a significant difference between the means of two separate groups.

The t-value (2.65) and degrees of freedom (38) show the extent of this difference, while the p-value (.012) tells us the probability of observing this difference due to chance alone.

Since the p-value is less than .05, we can conclude that there is a significant difference between the two groups.
Explaining to a layperson:

We used a statistical test to compare two groups of people and found that there is a meaningful difference between them.

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The value that would be put for r is; 0.042.

Interest rates

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

We are given the monthly payment formula for present value as;

M = (Pr(1 + r)ⁿ)/(1 - r) - 1

Where;

P is the Present Value

r is the interest rate

n is the number of times compounded

Now, we are told the interest rate is given as 4.2% and so we can write that; r = 4.2/100 = 0.042

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The time required for the ball to reach the ground is approximately 0.56 seconds, and the horizontal displacement covered by the ball is approximately 1.34 meters.

To find the time required for the ball to reach the ground, we can use the formula for vertical motion. Since the ball is thrown horizontally, the initial vertical velocity is 0 m/s. The height of the table is 1.6 m, so we can use the formula h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time. Plugging in the values, we get 1.6 = (1/2)(9.8)t^2. Solving for t, we find t ≈ 0.56 seconds.

To find the horizontal displacement covered by the ball, we can use the formula d = vt, where d is the displacement, v is the initial horizontal velocity, and t is the time. Plugging in the values, we get d = 2.4 m/s * 0.56 s ≈ 1.34 meters.

Therefore, the time required for the ball to reach the ground is approximately 0.56 seconds and the horizontal displacement covered by the ball is approximately 1.34 meters.

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The value of angle T (m<T) would be = 30°. That is option A.

To calculate the value of the missing angle, the following steps should be taken as follows;

The total internal angle of a triangle = 180°

That is ;

180° = 4x-6+6x+11+85

= 10x-6+11+85

= 10x+90

10x = 180-90

X = 90/10

= 9

Therefore, T = 4x-6

= 4(9)-6 = 30°

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Answer:

2000kkkkkkkkkkklllllk

According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.

In the case of a unit rate expressed as a fraction, the denominator is 1 unit. Divide the denominator by the denominator to represent a rate as a unit rate.

According to this, 3/10 of an inch on a map corresponds to 7/8 miles in actual distance.

Conversion Unit, This unit of conversion, also known as a rate, is utilized to help us map out greater numbers on a smaller piece of paper. Miles to Inches conversion factor is

Data provided 3/10 in equals 7/8 miles.

This suggests that we would depict the real 7/8 miles of distance on the map by 3/10 inches. Inevitably, this would result in a reduction in size or length.        

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The solution to the inequality 1 < 2x + 3 < 9 is x > -1 and x < 2. Option (A) -1 > x < 2 is the correct answer.

To solve the inequality 1 < 2x + 3 < 9, we need to isolate the variable x.

First, subtract 3 from all parts of the inequality:

1 - 3 < 2x + 3 - 3 < 9 - 3

-2 < 2x < 6

Next, divide all parts of the inequality by 2, ensuring to flip the inequality signs when dividing by a negative number:

-2/2 > 2x/2 > 6/2

-1 > x > 3

Therefore, the solution to the inequality is x > -1 and x < 3. In the given options, option (A) -1 > x < 2 matches the solution, while option (B) 2 is not a valid solution to the inequality. Thus, the correct answer is option (A) -1 > x < 2.

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Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

Answer:

no answer

Step-by-step explanation:

no answer

to be checked in options

The amount of plastic covering needed to cover the window is 25.71.

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

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The Construction of line MN and perpendicular at point N as well as angle MNP = 60°such that NP would be 6.3 cm is given below as image.

In Euclidean geometry, an angle is a shape made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles can be formed in the plane where two rays are positioned. Moreover, when two planes overlap, angles are created. Dihedral angles are what they are called.

In geometry, two lines are considered to be perpendicular if they meet or intersect at right angles of 90°. The Latin term "perpendicularis," which denotes a plumb line, is where the word "perpendicular" originally made its appearance.

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Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

The cost of each of the favors is of $5 and the required equation is 8f+265 = 305

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.

The addition of 8 favors increase the cost of the party by $40

The equation that can be used to find the number of favors =

8f+265 = 305

Solving for f,

8f = 40

f = 5

Hence, the cost of each of the favors is of $5.

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The total cost for Year 1 = $2236 , the total cost for Year 2 is $2045,  the total cost for Year 3 is $2125

Ratio is when two numbers can be written as p/q and when two ratios are equal they are said to be in proportion.

The total cost per mile for of six-cylinder compact automobiles 14500 mile is $1621

Cost for 1 year for 20000 mile is $2236 .

Cost for second year for 13000 mile is $1329

Cost for 20000 mile is $2045

Cost for third year for 11500 miles is $1222

Cost for 20000 mile is $2125

Therefore the total cost for Year 1 = $2236

the total cost for Year 2 is $2045

the total cost for Year 3 is $2125

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Answer: 10 times

Step-by-step explanation:

Answer:

25 x 0.01

Step-by-step explanation:

here you go . ..........................................

Answer:

x = 1 , x = - 2

Step-by-step explanation:

If f(x) = x² + 3x - 5 and g(x) = 2x - 3, determine each.

We want to find x when f(x) = g(x)

So essentially we are find the value of x when the equation f(x) ( x² + 3x - 5 ) equals the equation g(x) (2x - 3)

In other words we want to find the value of x when...

x² + 3x - 5 = 2x - 3

we now solve for x

x² + 3x - 5 = 2x - 3  

first step is to put the equation in quadratic form

ax² + bx + c = 0

To do so we simply subtract (2x - 3) from both sides

From doing so we acquire

x² + 3x - 5 - (2x - 3) = 2x - 3 - ( 2x - 3 )

combine like terms

x² + x - 2 = 0

Now we can solve by factoring

From factoring we acquire

(x−1)(x+2)=0

We then set each factor to 0 and solve for x

x - 1 = 0                                                  x + 2 = 0

add 1 to both sides                               subtract 2 from both sides

x = 1                                                        x = - 2

and we are done!

Answer:

Step-by-step explanation:

17

Step-by-step explanation:

-3(x+8)=-21

open the bracket

-3x-24=-21

-3x=-21+24

-3x=3

x=-3/3

x=-1