Which statement best compares the slopes and y-intercepts amid the two functions



1: Function 1 has a greater slope and greater y-intercept than function 2



2: Function 2 has a greater slope and greater y-intercept than function 1



3: Function 1 has a greater slope and lesser y-intercept than function 2



4: function 2 has a greater slope and lesser y-intercept than function 1



Please hurry i need the answer.

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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Answer: the answer D is correct and is proven to be correct

Step-by-step explanation:

Answer:

B.

3x less than 12.

12/3= 4. so x is any number less than 4.

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

The number of non-degenerate triangles that can be formed is 10, which is the final answer.

What is the combination?

Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.

There are a total of 20 triangles that can be formed by connecting three of the points given below as vertices, without any three points being co-linear.

To see why, we can count the number of ways to choose 3 points out of 5.

This can be calculated using the combination formula:

\(nCr = n! / r!(n-r)!\)

where n is the total number of points, and r is the number of points we want to choose.

So for this case, we have:

5C₃ = 5! / 3!(5-3)! = 10

However, we must exclude any degenerate triangles formed by three co-linear points.

There are no three co-linear points in the given set, so we do not need to subtract any cases from our total.

Therefore, the number of non-degenerate triangles that can be formed is 10, which is our final answer.

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Answer: look at explanation <3

Step-by-step explanation:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

average speed is distance/time

1. 80km/50 minutes (0.833 hour)= 96km/hour

2. 270km/(time between 13:10 and 15:25 (2hr 15mins)) = 120km/hr

3. difference is 120km/hr - 96km/hr = 24km/hr faster

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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A regular polyhedron is defined as a 3-dimensional shape whose faces are all regular polygons of equal size and shape, and whose vertices are connected by the same number of edges. A regular polyhedron is also known as a Platonic solid or Platonic solid.

The term "regular" is used to differentiate it from "irregular" polyhedra, which have faces of different shapes and sizes and which can be any combination of polygons. The five Platonic solids are the tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

A regular polyhedron has a certain number of edges, faces, and vertices that are unique to it. The number of edges (E), vertices (V), and faces (F) of a regular polyhedron are related by the equation V - E + F = 2. This is known as Euler's formula for polyhedra.

For example, a cube has 6 faces, 8 vertices, and 12 edges. If we plug these values into Euler's formula, we get: V - E + F = 2 8 - 12 + 6 = 2 This confirms that a cube is a regular polyhedron.

In general, a regular polyhedron with n faces will have 2n edges, n vertices, and n/2 faces meeting at each vertex. This is because each face has n edges, and each edge is shared by 2 faces, so there are 2n edges in total.

At each vertex, n/2 faces meet, since each face shares 1/n of the vertex. This means that the angle between any two adjacent faces is 360/n degrees.

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Given the function f(x) = log 0.75x

The interval that contains all the x-values must be greater than 1.333

For the function to be positive, the expression 0.75x must be greater than and equal to 1 as shown:

Divide both sides by 0.75

0.75x/0.75 ≥ 1/0.75

x ≥ 1/0.75

x ≥ 1.333

Hence the interval that contains all the x-values must be greater than 1.333

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The right answer is (B), which is $145,000, given that his building property insurance costs $652.50 annually.

In mathematics, interest usually refers to the sum of money that is charged or made over the course of a given period of time on a principal sum of money. In finance and economics, interest—which can be basic or compound—is frequently used to calculate borrowing costs and return on investment. The principal sum, the interest rate, and the duration for which the interest is being charged or earned are the three factors used to compute simple interest.

given

We are informed that Floyd's home is situated in a suburban area, where building property insurance costs $0.45 for every $100 of coverage.

Assume Floyd's home is worth x. Then, the yearly payment for his home's building property insurance is:

0.0045x = $652.50

After finding x, we obtain:

x = $652.50 ÷ 0.0045

x ≈ $145,000

Floyd's home is therefore currently worth about $145,000.

The correct response is (B ) $145,000 as  his building property insurance is $652.50 per year.

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ABC is congruent to DCB

The break-even quantity is 3 units. The profit for producing 470 units is $5624. 13 units must be produced for a profit of $120.here both cost and revenue are in dollars.

(a) To find the break-even quantity, we set the cost function C(x) equal to the revenue function R(x) and solve for x:

\(11x + 36 = 23x\)

\(36 = 12x\)

\(x = 3\)

Therefore, the break-even quantity is 3 units.

(b) The profit for producing 470 units can be calculated by subtracting the cost from the revenue:

\(Profit = Revenue - Cost\)

\(Profit = R(470) - C(470)\)

\(Profit = 23(470) - (11(470) + 36)\)

\(Profit = 10810 - 5186\)

\(Profit = $5624\)

The profit for producing 470 units is $5624.

(c) To find the number of units that must be produced for a profit of $120, we set the profit equation equal to $120 and solve for x:

\(Profit = Revenue - Cost\)

\($120 = R(x) - C(x)\)

\($120 = 23x - (11x + 36)\)

\($120 = 12x - 36\)

\(12x = 156\)

\(x = 13\)

Therefore, 13 units must be produced for a profit of $120.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Similar Triangles.

Since here we can see that, similar triangles different by size of the side by 0.5 ration,

hence,the value of x = 0.5 times of MN

hence, x = 5/2

so the mixed fraction representation is given as,

\(2 \times \frac{1}{2} \)

mixed fraction ration is 2(1/2)

===> hence option is B.)

Answer:

0.67

Step-by-step explanation:

correct

Answer:

Step-by-step explanation:

\(P_{ABCD}=P_{ACD}+P_{ABD}\)

We can use Heron's formula to calculate area of triangles:

\(P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}\)   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

\(P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071\)

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = \(P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816\)

\(P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89\)

Options :

negative 4 over 7 is located on the right of −2, and −2 is located on the right of 0

negative 4 over 7 is located on the left of −2, and −2 is located on the right of 0

negative 4 over 7 is located to the right of −2

negative 4 over 7 is located on the left of −2

Answer:

negative 4 over 7 is located to the right of −2

Step-by-step explanation:

-4/7 > - 2

On a number line, numbers are arranged in ascending order (lowest to smallest) the number at the tail end to the left of the numbwr line will be the least number represented by the number line and the highest will be located at the end of the right side of the number line.

Therefore, if it is represented that -4/7 > - 2

Then counting from the left ; - 2 comes before - 4/7

Hence, - 4/7 is located to the right of −2

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

a family of functions is a set of functions whose equations have a similar form. the "parent" of the family is the equation in the family with the simplest form.

Hex number representation of 546 is 222 and ASCII string of characters representation of 546 is "535426"

To determine the representations of the number 546 in base sixteen (hexadecimal) and as an ASCII string of characters, let's go step by step:

1. Hex number (base sixteen):

To convert the number 546 to base sixteen (hexadecimal), we divide the number by 16 repeatedly and note the remainders.

The remainders will represent the digits in the hexadecimal representation.

546 ÷ 16 = 34 remainder 2 (2 is the least significant digit)

34 ÷ 16 = 2 remainder 2 (2 is the next digit)

2 ÷ 16 = 0 remainder 2 (2 is the most significant digit)

The remainders are read from bottom to top, so the hex number representation of 546 is 222 in base sixteen.

2. ASCII string of characters:

To convert each digit of the number 546 to its ASCII value, we take each digit individually and determine its corresponding ASCII value.

Digit 5: ASCII value of '5' = 53

Digit 4: ASCII value of '4' = 52

Digit 6: ASCII value of '6' = 54

Therefore, the ASCII string of characters representation of 546 is "535426" where each digit is replaced by its corresponding ASCII value.

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We will apply the percentage method to find that 48 students said red is their favourite colour.

Probability is a constituent part of computation that deals with the occurrence of a random event. The value is defined from zero to one. Probability is familiarised to predict how likely events are to happen. Probability is the degree to which something is possible to happen.

Total number of pupils in class 9 = 80

We need to calculate the number of students choosing red as their favourite colour.

We are given that 80 pupils are there in year 9.

Out of these, 3/5 of the pupils say that their favourite colour is red.

Let n be the number of pupils who say red is their favourite colour.

∴ n = (3/5) × 80

∴ n = 48

--The given question is incorrect; the correct question is

"3/5 of the pupils in a year 9 class say their favourite colour is red. There are 80 pupils in Year 9. How many students said red is their favourite colour?"--

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Answer:

3  ×  10  −  7 (-7 should be in upper top after 10)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps.

Answer: Hey Love ❤️ It’s B. Associative property

Step-by-step explanation: The person on the top is wrong what a shame

Answer:

I just took the test, it's Associative Property :D

Step-by-step explanation:

Answer:

the answer is B: 4

Step-by-step explanation:

i have no explanation i just finished the test right now.

Answer:

4

Step-by-step explanation:

Took test and got it right

Answer:

y=11

Step-by-step explanation:

2√25+3y=43

2(5)+3y=43

10+3y=43

-10.      -10

3y=33

/3 /3

y=11

hopes this helps please mark brainliest

Answer:

3:2

Step-by-step explanation:

Hope this helps and that you have a good day!

The triple integral ∫∫∫ex^2 y^2 dv in cylindrical coordinates evaluates to ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to (1-9r^2) e^r^2cos^2θsinr drdθdz.

In cylindrical coordinates, the given solid e is represented by the inequality 0 ≤ z ≤ 1-9r^2. Therefore, the limits of integration for z are 0 to 1-9r^2. The circular base of the solid is given by x^2 + y^2 ≤ 1/(9z), which can be rewritten as r^2 ≤ 1/(9z).

Thus, the limits of integration for r are 0 to √(1/(9z)). The angle θ ranges from 0 to 2π. Hence, the triple integral can be expressed as ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to √(1-9r^2) e^r^2cos^2θsinr drdθdz. Solving this integral yields the required answer.

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