Solve the following system of equations using any method (substitution or elimination) SHOW YOUR WORK
y = -2x + 3
-4x + 2y = 8

Answer:

see explanation

Step-by-step explanation:

To evaluate f(8), substitute x = 8 into f(x) , that is

f(8) = [tex]\sqrt{2(8)+9}[/tex] = [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = ± 5

-----------------------------------------------------

Equating

[tex]\sqrt{2x+9}[/tex] = 3 ( square both sides )

2x + 9 = 9 ( subtract 9 from both sides )

2x = 0 ⇒ x = 0

Thus

f(0) = 3

b. the variable is not correlated with the regression error. if an explanatory variable is exogenous, it means that the variable is not correlated with the regression error term. This assumption is important for obtaining unbiased and consistent parameter estimates in regression analysis.

If an explanatory variable is exogenous, it implies that the variable is not correlated with the regression error term. In other words, the exogenous variable is unrelated to the factors that are not explicitly included in the regression model and captured by the error term.

Exogeneity is an important assumption in regression analysis, as violating this assumption can lead to biased and inconsistent parameter estimates. When an explanatory variable is exogenous, it means that its value is determined independently of the other variables in the model and the error term.

Let's briefly discuss the other options:

a. The variable cannot be correlated with other explanatory variables: Exogeneity does not necessarily imply that the variable cannot be correlated with other explanatory variables. Explanatory variables can be correlated with each other as long as they are not correlated with the regression error term.

c. The variable must have zero mean: Exogeneity does not require that the variable has a zero mean. Exogeneity refers to the lack of correlation between the variable and the regression error, not its mean value.

d. The value of the variable must be randomly assigned: Exogeneity does not require that the value of the variable is randomly assigned. Exogeneity implies that the variable is not affected by the regression error and is determined independently of the other variables in the model, but it does not necessarily imply a random assignment of values.

In summary, if an explanatory variable is exogenous, it means that the variable is not correlated with the regression error term. This assumption is important for obtaining unbiased and consistent parameter estimates in regression analysis.

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a. Total perimeter = 89.12 ft

b. Total area = 174. 24 ft²

To determine the perimeter, we have;

Perimeter of triangle = a + b + c = 8 + 6 + 10 = 24ft

Circumference of a circle is expressed a;s

= 2πr

Circumference = 2× 3.14 × 4

Multiply the values

Circumference = 25. 12 ft

Perimeter of a square = 4a)

Perimeter = 40 ft

Total perimeter = 40 + 25.12 + 24 = 89.12 ft

For area;

Triangle = 1/2bh = 1/2 (48) =24 ft²

Square = a² = 100ft²

Circle = 3.14 × 4² = 50.24ft²

Total area = 174. 24 ft²

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Answer:

7

Step-by-step explanation:

35 / 5 = 7

Answer:

7 = 35 cars/5 rows= 7 cars per row

Answer:

7^-5

Step-by-step explanation:

7^-8 .* 7^3=7^-8+3 =7^-5

Answer:

black= 2/15 green= 4/15

Step-by-step explanation:

so first we find out what this is out of so we add them all together which comes to 15. so there are 15 pencils. Since they're 4 green out of all 15 pencils it will be a 4/15 its same for black with 2/15. (sorry if it's not good, I hope this helped)

Answer:

46

Step-by-step explanation:

Angle Formed Outside = 1/2(Difference of Intercepted Arcs)

The arcs are 226 and (360 -226 =134)

y = 1/2 ( 226 - 134)

y = 1/2( 92)

y =46

Answer:

A(Malthus)

Step-by-step explanation:

because i'm stunning and cunning for miraculis ladybug and legacies

Answer:

18x-6

Step-by-step explanation:

simplify the expression

Answer:

  (x, y) ⇒ (x, y+6)

Step-by-step explanation:

Reflection of a value a across a point p to make b requires that a, b, and p satisfy the relation ...

  p = (a+b)/2

  2p = a + b

  b = 2p - a

This is true for any sort of reflection. Here we have a reflection across the horizontal line y=-1, followed by a reflection across the horizontal line y=2. These reflections do not change the x-coordinate of a point, but they change the y-coordinate in accordance with the above relation.

Reflection across y = -1:

  (x, y) ⇒ (x, 2(-1)-y) = (x, -2-y)

Reflection of that across y = 2:

  (x, -2-y) ⇒ (x, 2(2) -(-2-y)) = (x, y+6)

The composition of the two reflections results in a translation upward of 6 units: (x, y) ⇒ (x, y+6)

Answer:

18 years

Step-by-step explanation:

Rule of 72

(72)/(interest)=years to double

72/4=18

Step-by-step explanation:

length is x

p=(33+×)2

(33+×)2>776

66+2×>776

×>710

×>355

the length of the rectangle is greater/equals 355

Answer:

11 guppies

Step-by-step explanation:

my teacher told me the answer

Answer:

225

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

15x15

5x5=25

5x1+2=7

add 0

1x5=5

1x1=1

75+150=225

Answer:

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

Step-by-step explanation:

Is the mean always greater than the median in a right skewed distribution?

by Karen Grace-Martin Leave a Comment

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution.

So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

It’s a rule that makes sense, and I have to admit, I never questioned it.

But a great article in the Journal of Statistical Education shows that it really only holds in ideali

Let's denote the number of tickets sold as .

The revenue function can be calculated by multiplying the number of tickets sold by the ticket price:

Revenue() = * (30 - 0.25)

The cost function consists of two components: the cost per person and the fixed costs for gas and miscellaneous expenses:

Cost() = * 30 - 0.25^2 + 200

To find the profit function, we subtract the cost function from the revenue function:

Profit() = Revenue() - Cost()

Profit() = * (30 - 0.25) - ( * 30 - 0.25^2 + 200)

Profit() = -0.25^2 + 30 - 0.25^2 + 200

To maximize profit, we need to find the value of that maximizes the profit function. This can be achieved by finding the vertex of the quadratic equation () = -0.25^2 + 30 + 200.

The x-coordinate of the vertex can be calculated using the formula = - / (2), where = -0.25 and = 30:

= -30 / (2 * -0.25)

= -30 / -0.5

= 60

Therefore, the number of tickets needed to maximize profit is 60.

To find the maximum profit, we substitute = 60 into the profit function:

Profit(60) = -0.25 * (60)^2 + 30 * 60 + 200

Profit(60) = -0.25 * 3600 + 1800 + 200

Profit(60) = -900 + 2000

Profit(60) = 1100

Hence, the maximum profit is $1100.

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Answer:

the answer is b) 32

Step-by-step explanation:

The value of 'x' comes as 32.

An equation with two ratios set equal to one another is called a proportion.

For instance, a/b = c/d or a:b = c:d are written as proportions.

We must take the following actions in order to apply proportions to solve ratio word problems:

The given proportion is,

x/30 = 0.4/0.375

x = (0.40×30)/0.375

x = 32

The value of 'x' is found to be 32.

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Answer:

its going to be D (x,y) - (x-2,y-4)

Step-by-step explanation:

Answer:

The plane will fly 1830mph.

Step-by-step explanation:

Just multiply 610 (mph) by 3 (# of hours)

Answer:

1830 miles

Step-by-step explanation:

3 hours x 610 mph = ? how far the plane will fly

3 x 610 = 1830

the plane will fly 1830 miles in 3 hours

Answer:

-200

Step-by-step explanation:

100-300=-200

or 400

Answer:

8

Step-by-step explanation:

Answer:

yeah its A

Step-by-step explanation:

Nosaira's work is correct, but there is one solution and rather than no solution.

The correct option is A.

A pair of algebraic equations with the equal symbol (=) in the center and the same value is referred to as an equation.

The steps she used to solve the equation are valid, and she correctly determined that x = 0.

As per the information provided,

3(2x + 1 ) = 2(x + 1) + 1

6x + 3 = 2x + 2 + 1

6x + 3 = 2x + 3

4x = 0

x = 0

However, this means that the equation does have a solution, contrary to her conclusion that there is no solution.

This is likely a mistake in her interpretation of the solution, rather than an error in her algebraic work.

Therefore, there is only one solution.

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Answer:

he would only have 5 gallons left after 4 hours

Answer:

StartFraction 7 Over 8 EndFraction of an hour

7/8 hour

Step-by-step explanation:

Total movie time = 3 1/2 hours

Lily turned the movie off One-fourth of the way through,

1/4 of 3 1/2

= 1/4 ×7/2

= 7/8 hour

how much time did she spend watching it.

Time spent watching the movie = 3 1/2 hour - 7/8 hour

= 7/2 - 7/8

= 14-7/8

= 7/8 hour

StartFraction 7 Over 8 EndFraction of an hour

Answer:

7/8 of an hour

Step-by-step explanation:

The quadratic function that best matches the graph is given as follows:

y = -0.2(x + 3)² + 5.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The coordinates of the vertex for this problem are given as follows:

(-3, 5).

Hence:

y = a(x + 3)² + 5

When x = 0, y = 3, hence the leading coefficient a is obtained as follows:

3 = 9a + 5

9a = -2

a = -0.2. (rounded).

Hence the function is:

y = -0.2(x + 3)² + 5.

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