Substitution:
2x - y = 6
x + y = -3

Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

So,

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

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To calculate end behavior of a polynomial function, you need to identify the leading term and its degree.

Leading term: The leading term is the term with the highest degree in the polynomial.

Degree of the leading term: The degree of the leading term indicates the rate of change of the polynomial.

Sign of the leading term: The sign of the leading term (positive or negative) indicates whether the end behavior of the function is upward or downward.

End behavior: Based on the degree and sign of the leading term, you can determine the end behavior of the function as follows:

If the degree is odd and the leading term is positive, the end behavior is upward.

If the degree is odd and the leading term is negative, the end behavior is downward.

If the degree is even and the leading term is positive, the end behavior is asymptotic to the x-axis.

If the degree is even and the leading term is negative, the end behavior is asymptotic to the x-axis but oscillates below and above the x-axis.

Example: Consider the polynomial function f(x) = x^3 - 5x^2 + 2x + 7. The leading term is x^3 with a degree of 3 and a positive sign, so the end behavior is upward.

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The slope of the line y = 9x - 45 is 9, the y-intercept is -45, and the x-intercept is 5. These values provide important information about the line's steepness, where it crosses the y-axis, and where it crosses the x-axis.

The slope of the line y = 9x - 45 is 9.

The y-intercept of the line is -45.

The x-intercept of the line is 5.

The equation of the given line is in slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

From the equation y = 9x - 45, we can directly identify the slope as 9. This means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 9 units.

To find the y-intercept, we observe that when x = 0, the equation becomes y = 9(0) - 45 = -45. Therefore, the y-intercept is -45, indicating that the line intersects the y-axis at the point (0, -45).

To find the x-intercept, we set y = 0 and solve for x:

0 = 9x - 45

9x = 45

x = 45/9

x = 5

Hence, the x-intercept is 5, indicating that the line intersects the x-axis at the point (5, 0).

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The system is consistent and independent.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations as;

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

Solve for x;

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

To find the value of y, we can input this value of x in one of the equations:

y = 4 x1 - 4 = 0.

Then we have only one solution, (1, 0).

Therefore, the system is consistent and independent.

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Answer:

parallel : (b) and (g)

perpendicular : (d) and (f)

Step-by-step explanation:

straight line equation : y = mx + c

Lines that are parallel have the the same gradient(m),

(b) and (g) are parallel, both of them has m= 1/2

Lines that are perpendicular will have the product of their

gradient(m) equal to -1. So, m1 × m2 = -1

(d) and (f) are perpendicular, because : -4 × ¼ = -1

Hope I was able to help:))

The coupon which gives Hideki a better deal is Coupon 2: as the total cost is: $27

The total cost of coupon 1 will be; $28.8

The total cost of coupon 2 will be; $27

For Coupon 1; Buy 1 get one 40% off.

Total cost = $18 + 60% ($18)

Total cost = $18 + $10.8.

Total cost = $28.8

For Coupon 2; 25% off entire purchase

Total cost = 75% ($18 + $18)

Total cost = 75% ($36)

Total cost = $27

:D Your Welcome!

Answer:

Irrational

Step-by-step explanation:

\(7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}\)

Therefore, this is irrational. Hope this helps!

answer:

y= -5x -2

hope it helps

If Q is directly proportional to r, when r is 45, the value of Q is 171.

If Q is directly proportional to r, we can express this relationship using the formula Q = k x r, where k is the constant of proportionality. To find the value of k, we can use the given information that Q is 76 when r is 20.

Substituting these values into the formula, we have:

76 = k x 20

To solve for k, we divide both sides of the equation by 20:

k = 76 / 20

k = 3.8

Now that we know the value of k, we can use it to find Q when r is 45:

Q = k x r

Q = 3.8 x 45

Q = 171

Therefore, when r is 45, Q is 171.

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Answer:6

Step-by-step explanation:multiply 70 times 6

Answer:

420÷ 6=70

Step-by-step explanation:

6x70=420 :)

Answer:

The graph of  can be drawn by first draw the graph of  then draw the graph of   by multiplying the y-axis by 4 aand then taking the mirror image of   in x-axis.

Given :

To plot the graph of the function f(x) following steps can be use:

Step 1 - First draw the graph of .

Step 2 - Now, multiply y-axis by 4. After multiplying the y-axis by 4 the graph is called the graph of  .

Step 3 - Now, take the mirror image of  in x-axis. After taking the mirror image in x-axis the graph is called the graph of .

The graph of  is attached below.

From the above steps it can be concluded that the correct graph is shown in option C).

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Step-by-step explanation:

Answer:

The answer is the graph that is shown bellow

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

Divide the numbers first because that's the easy part and we've been dividing since like 5th grade.

1.6/.2 = 8. Now for the exponents.

When you divide like bases, you subtract the exponents. Our bases are both 10's, so they are like. Subtracting the exponents gives us 10³. So the answer is 8 × 10³, choice B.

2.8x+8.7

Step-by-step explanation:

-2.1x+3.7+5+4.9x

=2.8x+8.7

Answer:

x = -17

Step-by-step explanation:

20-3.8x becomses 2x  and   -14 -5.8 becomes -14 - 20

-14 - 20= 34

2x = -34 (divide both sides by 2)

hope it helps :)

In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

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Answer:

x=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

well

8 x 7 is 56.

3 x 7 is 21

3 x 7 again is 21

21 + 21 is 42

56 + 42 is 98

- x or -7

98 - 7 is 91. it’s 7

x = 7

The graph of the parent absolute value function decreases over (–∞, 0) interval.

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Recall that the absolute value of a number is its distance from 0 on the number line.

The absolute value function is f(x) = |x| is defined as,

\(\rm f(x)= x \ if\ x > 0\\\\f(x)= 0 \ if\ x=0\\\\ f(x)=- x \ if\ x < 0\\\)

Observe that the graph is V-shaped.

Hence, the graph of the parent absolute value function decreases over (–∞, 0) interval.

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Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

The future amount is equal to $17,605.4.

Mathematically, compound interest can be calculated by using this mathematical expression:

A(n) = P(1 + r)^{n}

Where:

Substituting the given parameters into the compound interest formula, we have;

A(12) = 1000(1 + 0.27)^{12}

A(12) = 1000(1.27)^{12}

A(12) = 1000 × 17.6054

A(12) = $17,605.4

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Answer:

5.6  percent

Step-by-step explanation:

because

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

The polynomial function p(x) = 5x³ - 5x² - 10x have zeros of 0, -1 and 2

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial.

The polynomial function given is

p(x) = 5x³ - 5x² - 10x

The zeros of the function are 0, 2, -1

To test the zeros if they are the roots of the polynomial

p(0) = 5(0)³ - 5(0)² - 10(0)

p(0) = 0

p(2) = 5(2)³ - 5(2)² - 10(2)

p(2) = 0

p(-1) = 5(-1)³ - 5(-1)² - 10(-1)

p(-1) = 0

The zeros are 0, -1, and 2 to the polynomial

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Answer:(3,5)

Step-by-step explanation: because it does not fit the pattern of 2,4,6,8,

Given equation of a curve is\(y = te^(-t) at x=et, y=te^-\)tFirst, find \(y = te^(-t) at x=et, y=te^-\)\(dy/dx dy/dx​ = (1-t)/e^(2t)\)Now, find \(d2y/dx2d2y/dx2 = (2t-3)/e^(3t)\)The curve will be concave upward for values of t such that d2y/dx2 > 0. So,2t - 3 > 0                                              2t > 3                                                 t > 3/2So,

the curve will be concave upward for all values of t > 3/2.

Note: Interval notation is written with a square bracket [ when the endpoint is included in the interval, and a parenthesis ( when the endpoint is not included. For example, the interval (3, 7] includes the numbers 4, 5, 6, and 7, while the interval [3, 7) includes the numbers 3, 4, 5, and 6.

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The value of  integral sin (x^2+y^2)dA is 2π(cos(9) - cos(64)).

To evaluate this integral using polar coordinates, we first need to express the region R in terms of polar coordinates. In polar coordinates, the equation of a circle with radius r is given by r^2 = x^2 + y^2. So, the region R can be expressed as 3 < or = r < or = 8.

Now, we can express the integral in polar coordinates:

∫∫R sin (x^2+y^2)dA = ∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

We integrate first with respect to r, then with respect to θ:

∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

= ∫θ=0 to 2π [-cos(64) + cos(9)] dθ

= 2π(cos(9) - cos(64))

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