4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)

The solved inverse matrices.

(9x - 2y = 12

3x + 4y = 18

([2],[3 ])

To solve a system of linear equations using inverse matrices, we can express the system in matrix form as follows:

[9 -2] [x] = [12]

[3 4] [y] [18]

Then we can find the inverse of the coefficient matrix, which is the matrix containing the coefficients of the variables in the system:

[9 -2]^⁻¹ = 1/((9)(4) - (-2)(3)) * [ 4 2]

[3 4] [ -3 9]

= 1/14 * [ 4 2] = [2/7  1/7]

[ -3 9] [-3/7  2/7]

We can then multiply both sides of the equation by the inverse matrix to obtain the solution:

[2/7   1/7] [9 -2] [x] = [2/7   1/7] [12]

[-3/7   2/7] [3 4] [y] [-3/7   2/7] [18]

[x] = [2/7   1/7]^-1 [2/7   1/7] [9  -2] [x]

[y] [-3/7   2/7] [-3/7    2/7] [3   4] [y]

[x] = [1  0] [9  -2] [x]

[y] [0  1] [3  4] [y]

This simplifies to the following system of equations:

9x - 2y = 12

3x + 4y = 18

Therefore in solving this system, we find that x = 2 and y = 3. So, the solution to the original system is (x, y) = (2, 3).

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For this case we have the following problem given:

And e want to identify the constant of the expression given . We need to remember that the constant represent the number without any variabl so then for this case the answer would be -7

B)-7.

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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The increase in height (rise) of the balloon is \(35.53 feet\)

What is Pythagorean Theorem?

Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

According to the given information:

Given that,

Initial angle of elevation = \(19.3^{0}\).

Final angle of elevation = \(32.3^{0}\).

Distance = \(126 feet\).

How to calculate the height (rise).

In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:

tan∅ = \(\frac{height}{adj}\)

height = adjacent \(*\) tan∅

At an initial angle of elevation:

height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)

At a final angle of elevation:

height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)

For the change in height:

Δh \(= 79.64-44.11\\=35.53 feet\)

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The angle LKJ in the triangle is 49 degrees.

The sum of angles in a triangle is 180 degrees. The measure of the angle LKJ can be found as follows:

Therefore, the angle LKJ can be found using trigonometric ratios as

follows:

Not the triangle is a right angle triangle. Therefore, one of its angles is 90 degrees.

Hence,

tan x = opposite / adjacent

tan x = 8.9 / 7.7

tan x = 1.15584415584

x = tan ⁻¹ 1.15584415584

x = 49.1346675513

Therefore,

angle LKJ = 49 degrees

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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:

Step-by-step explanation:

it a it the one  that makes the most sense

Step-by-step explanation:

it is rational

because it can be put in a fraction form

Answer:

rational

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

from slope-intercept form, y=mx + b, where b is (-2), and the slope/m is (-5).

hope this helps, and please respond if I'm wrong

M = -5

That’s the answer

Answer:21

Step-by-step explanation:

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer: -45

Steps: 4.5 × 5 × -2 = -45

Plz mark brainliest:)

Answer:

-x-9

Step-by-step explanation:

-(x+9)

The "-" at the beginning can be rewritten as -1

=-1(x+9)

To distribute -1 into the parentheses, multiply each value inside by -1

=(-1)(x)+(-1)(9)

=(-x)+(-9)

= -x-9

I hope this helps!

Answer:

4yd

144

Step-by-step explanation:

because 4yd is greater than 144

Answer:

3

Step-by-step explanation:

3/1

Answer:

10 minutes

Step-by-step explanation:

First, find how much higher the airplane has to travel:

35,000 - 30,000

= 5,000

To fine how long it will take, divide 5000 by 500

5000/500

= 10

So, it will take 10 minutes to get above 35,000 feet

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

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Answer:

138

Step-by-step explanation:

f(x)= 18x + 12

Let x = 7

f(7) = 18*7 +12

     = 126+12

     = 138

Answer:

f(7) = 138

Step-by-step explanation:

\(f(x)= 18x + 12\\f(7) = ?\\\\f(7) = 18(7) +12\\f(7) = 126+12\\f(7)=138\)

Answer:

$33333.33

Step-by-step explanation:

Suppose x invested into the bank account that pays 4% simple Interest

5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}

4x+6.4x50000-6.4x=240000

2.4x=80000

x=33333.33

Answer:

x = −182/57, y = 290/57

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67

Answer:

2.26 , 2.28 , 22.7 , 22.8

Step-by-step explanation:

might be wrong ynk

The  number of visits Liam can make to earn his first free movie ticket is: 8.4.

Let x represent the number of visits

Formula
55+12.5×x=160

Re-arrange

12.5x=160-55

12.5x=105

Divide both side by 12.5x

x=105/12.5

x=8.4 visits

Therefore the  number of visits Liam can make to earn his first free movie ticket is: 8.4.

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Answer:

4/52 = 1/13

Step-by-step explanation:

Al the nth term are,

1) a (n) = 6 + 4n

2) a (n) = 26 + 8n

3) a (n) = 23 - n

4) a (n) = 7n - 3

5) a (n) = 8n - 43

We have to given that;

All the sequence are,

1.10,14,18,22..

2.34,26,18,10,..

3.17;11;5;-1;-7;..

4.4;11;18;25;..

5.-35;-27;-19;-11;..​

Now, WE can find the nth term as;

1) 10,14,18,22..

Here, a = 10

Common difference = 14 - 10 = 4

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 10 + (n - 1)4

a (n) = 10 + 4n - 4

a (n) = 6 + 4n

2) 34,26,18,10,..

Here, a = 34

Common difference = 26 - 34 = 8

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 34 + (n - 1)8

a (n) = 34 + 8n - 8

a (n) = 26 + 8n

3) 17;11;5;-1;-7;..

Here, a = 17

Common difference = 11 - 17 = - 6

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 17 + (n - 1) (- 6)

a (n) = 17 - 6n + 6

a (n) = 23 - n

4) 4;11;18;25;..

Here, a = 4

Common difference = 11 - 4 = 7

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = 4 + (n - 1) (7)

a (n) = 4 + 7n - 7

a (n) = 7n - 3

5) -35;-27;-19;-11;..​

Here, a = - 35

Common difference = - 27 + 35 = 8

Hence, The nth term is,

a (n) = a + (n - 1) d

a (n) = - 35 + (n - 1) (8)

a (n) = - 35 + 8n - 8

a (n) = 8n - 43

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Answer:

30

Step-by-step explanation:

(3+3³)

3+27

30

Answer:

\(30\)

Step-by-step explanation:

\(3\cdot(1+3^2)\\\\3\cdot(1+9)\\\\3\cdot(10)\\\\30\)

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