If y=x+2 we’re changed to y=x-1 how would the graph of a new function compare with the first one
A it would be shifted down
B it would be shifted left
C it would be less steep
D it would be shifted up

The system of equations solved by the elimination method gives (-2, 1)

From the question, we have the following parameters that can be used in our computation:

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

Answer:

m= -29

Step-by-step explanation:

This is a bit of a complex equation, but let's work through it.

2/3 (m-1/2) +3= m/3-7

First, we need to distribute the 2/3.

(2/3)(m)+(2/3)(−1/2)+3=m/3+−7

Now we simplify that.

2/3m+−1/3+3=1/3m+−7

We can now combine like terms.

2/3m+8/3=1/3m+−7

The goal is to isolate the variable, so we should subtract 1/3m from both sides.

1/3m+8/3=−7

Lets keep going! We can subtract 8/3 from both sides.

1/3m=-29/3

Well now we know what 1/3 of m is, but we want to know what m is. So we can multiply both sides by three to finally find out what m is!

m=-29

We did it! m=-29

a) Using OLS to estimate the model may lead to biased and inconsistent results due to potential endogeneity.

b) Data on the average price of cigarettes in the state of residence,  potentially help identify the true parameters of the model.

c) The 2SLS estimates would be more reliable and provide a better understanding of the true relationship between smoking and birth weight.

d) Estimating the reduced form for cig, we can assess the validity of the instrumental variable

(a) The problem with using Ordinary Least Squares (OLS) to estimate the above model is that the error term, εi, may be correlated with one or more of the explanatory variables. In this case, there might be endogeneity issues, where the variable cig (amount of cigarettes per day smoked during pregnancy) is likely to be correlated with the error term.

This violates one of the key assumptions of OLS, which is the absence of correlation between the error term and the explanatory variables.

(b) Having data on the average price of cigarettes in the state of residence could potentially help identify the true parameters of the model. This information can be used as an instrumental variable (IV) for the variable cig.

An instrumental variable is a variable that is correlated with the endogenous variable (cig) but is not correlated with the error term. By using an IV approach, such as 2SLS (Two-Stage Least Squares), we can obtain consistent estimates of the true parameters of the model, even in the presence of endogeneity.

(c) To estimate the model using OLS and 2SLS, you would need access to the data on birth weight (bw), male (dummy variable), order (birth order of the child), y (log income of the family), cig (amount of cigarettes per day smoked during pregnancy), and other relevant variables. OLS would provide estimates of the parameters under the assumption of no endogeneity

. However, 2SLS would be preferred in this case, as it addresses the potential endogeneity issue by using instrumental variables.

After estimating the model using both OLS and 2SLS, you should compare the results. If the OLS estimates are significantly different from the 2SLS estimates, it suggests the presence of endogeneity.

In this case, the 2SLS estimates would be more reliable and provide a better understanding of the true relationship between smoking and birth weight.

(d) To estimate the reduced form for cig, you would need to regress the variable cig on other exogenous variables that are not included in the main model. The reduced form would provide the relationship between the instrumental variable (average price of cigarettes) and cig. By estimating the reduced form, you can assess the validity of the instrumental variable and its relevance in addressing the endogeneity issue.

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Answer:

15cm

Explanation:

the formula for calculating the perimeter of a rectangle is (length + breadth) ÷ 2. so, we can divide the given perimeter by 2 to find the sum of the length and breadth of the rectangle:

42 ÷ 2 = 21cm

now, since we know the length of the rectangle is 6cm, we can subtract it from the sum of the length and breadth:

21 - 6 = 15cm

thus, the breadth of the rectangle is 15cm.

i hope this helps! :D

Answer:

Both A and B

Step-by-step explanation:

r² - 2r = - 5

r² - 2r + 5 = 0

Here,

a = 1

b = - 2

c = 5

D = b² - 4ac

= ( - 2 )² - 4 ( 1 ) ( 5 )

= 4 - 20

D = - 16

r = - b ± √D

= - ( - 2 ) ± √-16

= 4 + √-16, 4 - √-16

= 4 + √- 4, 4 - √- 4

r = √- 4 + 4, - √- 4 + 4

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the functions are not given.

The general explanation on calculating average rate of change is as follows.

The average rate of change (m) of function f(x) over interval (a,b) is:

\(m = \frac{f(b) - f(a)}{b-a}\)

Take for instance:

\(f(x) = x^2 + 4x + 4\)

\((a,b) = (0,2)\)

The average rate of change over \((0,2)\) is:

\(m = \frac{f(2) - f(0)}{2-0}\)

\(m = \frac{f(2) - f(0)}{2}\)

Calculate f(2) and f(0)

\(f(2) = 2^2 + 4*2 + 4 =16\)

\(f(0) = 0^2 + 4*0 + 4 =4\)

So, we have:

\(m = \frac{f(2) - f(0)}{2}\)

\(m = \frac{16 - 4}{2}\)

\(m = \frac{12}{2}\)

\(m = 8\)

Answer:

Maybe you could show what is trying to be solved.

Step-by-step explanation:

The government needs to raise spending by $3300 to bring the economy to full employment.

The formula for the GDP of a closed economy is given by the following:

Y = C + I

whereY = Aggregate Income

C = Aggregate Consumption

I = Investment

Therefore,Y = C + I250 + 0.75

Y = 100 + Y

Where Y is the full-employment GDP, we have to solve for Y in order to find out the output level that corresponds to full employment.

To do so, let's subtract 0.75Y from both sides of the equation: 250 + 0.25Y = 100

Adding -250 to both sides of the equation: 0.25Y = -150

Dividing both sides of the equation by 0.25Y = -600

Thus, at full employment, Y = 4000 and at the initial equilibrium, Y = 600.

Therefore, the desired increase in government spending (G) can be calculated as follows:

4000 = 250 + 0.75Y + G

Substituting Y = 600, we get:

4000 = 250 + 0.75(600) + G4000 = 250 + 450 + G3300 = G

Therefore, the government needs to raise spending by $3300 to bring the economy to full employment. Rounded to the nearest whole value, this is $3300.

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Answer:

One third of 9 is 3

I dunno the 2nd one tbh

4+ one fourth of 28 is 11

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

The equation of the line 4x = 2 + y expressed in slope-intercept form is y = 4x - 2 with a slope equal to 4.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given the equation of the line 4x = 2 + y, express it in slope-intercept form by isolating the variable y in one side.

4x = 2 + y

y = 4x - 2

Hence, the equation of the line in slope-intercept form is y = 4x - 2 where the slope, m, is equal to 4.

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Answer: I believe it's nonlinear

Answer:

linear

Step-by-step explanation:

Answer:

\(\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}\)

Step-by-step explanation:

Hypotenuse of a right triangle can be found using the Pythagorean theorem which states that both legs squared and added is equal to the hypotenuse squared. In other words, if A and B are legs and C is the hypotenuse:

\(C=\sqrt{A^2+B^2}\)

We are told that one of the legs is \(x^2-y^2\) and the other is \(2xy\) so we get \(\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}\) when we substitute the legs into the formula presented above.

Answer

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

What I did first is I converted 72% into a decimal (I work better with decimals), giving me 0.72. Then I solved the equation 36/0.72=x.

x = 50

Answer:

Step-by-step explanation:

Let the number of questions be x.

We have:

Build an equation and solve for x:

Answer:

You go to Target. You buy a box of mints for $2.25. You also want to buy some packs of Goldfish for snacks. They each cost $1.50. You have $12.75 to spend. How many packs of Goldfish can you buy along with the box of mints?

Answer:  liquidity reasons

Step-by-step explanation:

Banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Banks will try to sell credit cards and personal loans to customers for a few reasons:

Profit: Banks earn money by charging interest on loans and credit cards. By selling these products to customers, banks can earn significant profits.

Customer retention: By offering loans and credit cards to customers, banks can deepen their relationships with them and increase customer loyalty.

Increased revenue: Offering loans and credit cards can help banks generate more revenue from customers.

Market competition: Banks face intense competition from other financial institutions, including credit unions and online lenders.

Hence, banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

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The figure is composed of 1 rectangle and 2 triangles.

Area 1: rectangle

Area of a rectangle:Length x width

Length : 6

width : 4

A1 = 6 x 4 = 24 ft2

Area 2: triangle

Area of a triangle: 1/2 x base x height

Base = (9-6)/2 = 1.5

heigth = 4

A2 = A3 = 1/2 x 1.5 x 4 = 3 ft2

Finally, add all the areas:

Area of the figure: A1 + A2 + A3 = 24 + 3 + 3 = 30ft2

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

The equation of the line through the points (0, 9) and (3, 0) is y = -3x + 9.

To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we calculate the slope (m) using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. Substituting the values (0, 9) and (3, 0), we get m = (0 - 9)/(3 - 0) = -9/3 = -3.

Next, we choose one of the points, let's say (0, 9), and substitute its coordinates into the point-slope form: y - 9 = -3(x - 0).

Simplifying the equation, we get y - 9 = -3x, or rearranging it, y = -3x + 9.

Therefore, the equation of the line passing through the points (0, 9) and (3, 0) is y = -3x + 9.

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Answer:

7^3 = 343

7^4 = 2401

So log base 7 of 505 lies between 3 and 4.

Answer:

Step-by-step explanation:

We know the hypotenuse and legs of 45° right triangle have ratio:

Substitute given values and find x:

Answer:

3855.25???

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

i hope i got it right

Answer:

49

Step-by-step explanation:

A=(a+b/2)h

Answer:

Step-by-step explanation:

x^3+3x^2<x+3

(-∞,-3)∪(-1,1)

Step-by-step explanation:

\( = {i}^{31} \)

\( = {i}^{28} \times {i}^{3} \)

\( = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)\)

\( = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i\)

\( = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i\)

\( = {1}^{7} \times ( - i)\)

\( = 1 \times ( - i)\)

\( = - i\)

The answer is D.

Answer:

0.01190476, but since you have to round to the nearest hundredth your answer should be 0.01

Answer:

0.01

Step-by-step explanation:

6800 seconds converted into weeks is 0.011243386

If you round it to the nearest hundredth, the number next to the second 1 from 0.011243386 the second one tells the first one to stay the same so you get 0.01.

Hope this helps!!

Answer:

4/54= 2/27

Step-by-step explanation:

The amount of pizza will each person get if they split it evenly will be (4/54)x.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Let's say that the number of pizzas is x.

4/6 of x = (4/6)x

Divide into 9 will be as, (1/9)(4/6)x = (4/54)x

Hence "The amount of pizza will each person get if they split it evenly will be (4/54)x".

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The answer is 50 grams of salt in the tank at all times.

To find the number of grams of salt in the tank at time t, we need to use the formula:

a(t) = a(0) + (r - p) * t

where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.

In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:

a(t) = 50 + 0 * t
a(t) = 50 grams

This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.

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