Identify the set of X-values for which f(X) is greater than or equal to 0.

Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

From the sum of the columns:

From the diagonals:

The system is composed by all these equations.

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Greetings from Brasil...

If X grows and Y grows, the function is increasing

If X increases and Y decreases, the function is decreasing

Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point

check the attachments

P.S. - vertex coordinate = (3; 0)

Answer:x/5 + 2b/5

Step-by-step explanation:

9a-2b=c+4a solve for a

9a-2b=c+4a

add -4a to both sides

9a-4a-2b=x+4a-4a

5a-2b=x

add 2b to both sides

5a-2b+2b=x+2b

5a= x+2b

divide by 5

5a/5 = x/5 +2b/5

a= x/5 + 2b/5

Answer:$49.50

Step-by-step explanation:

First you have to find what 10% of 55 is. So if you times 10% by 55 you come out with $5.5. So after that you must subtract 5.5 from 55 which comes out to $49.50.

Use the vertical line test to determine whether a graph represents a function or not .

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.

A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

what is function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.

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Answer:

B

Step-by-step explanation:

use the formula x = [tex]\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex] and [tex]x= \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

according to the known condition, a = 1, b = -5-2/5 c = -3

you can input these values into the above two.

Answer:

  17 bars

Step-by-step explanation:

Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.

The error in a rounded number is assumed to be as much as half of the least significant digit of the number.

Peter's load limit may actually be as low as ...

  1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100

Peter's bar weight might be as high as ...

  60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10

If Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...

  (1150 kg) / (65 kg/bar) ≈ 17.7 bars

The greatest number of bars Peter can load safely is 17.

Answers:

f(6) = 4

f ' (6) = 1/6

===========================================================

Explanation:

f(6) = 4 since the point (6,4) is on the f(x) curve. This is where the tangent is touching.

The tangent line also goes through (0,3)

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (6,4) \text{ and } (x_2,y_2) = (0,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{0 - 6}\\\\m = \frac{-1}{-6}\\\\m = \frac{1}{6}\\\\[/tex]

The slope of the tangent line is 1/6. This is the value of f ' (6) because the derivative measures the tangent at the given x value. It's useful to determine the instantaneous rate of change.

Answer:

1,024yd

Step-by-step explanation:

a=a to the second,= 32(2)= 1,024

The solution to the given inequality is -10 < x < 5.

To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.

For this problem, the inequality is given by:

-12 < 0.5(4x + 16) < 18.

Multiplying all the terms by 2:

-24 < 4x + 16 < 36

Hence:

4x + 16 > -24

4x > -40

x > -10.

4x + 16 < 36

4x < 20

x < 5

The intersection of these two solutions is:

-10 < x < 5.

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Answer:

1

Step-by-step explanation:

the answer is 1.21576655000000000.

the unit of this no. is 1.

Answer:

Step-by-step explanation:

Answer:  36. Substitute: - 32 - 6 * - 3 + 9 Remove the parentheses: 32 + 6 * 3 + 9 Calculate the power:9 + 6 * 3 + 9.

Step-by-step explanation: I hope this help

Answer:

= 1

Step-by-step explanation:

m² + 6m + 9

m = -4

= -4² + 6*-4 + 9

= 16 -24 + 9

= 25 - 24

= 1

Answer: hope this help

step-step explanation:

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

the answer will be c....

The correct option is The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given that, we are asked to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation,

So, if we are asked to find the x-intercept, so simply by the definition of intercepts we are asked to find where is the line cutting the x-axis, and as we know that, when a line cuts x-axis its y-intercept we automatically be 0.

So, the answer to this will be, the line cut the x-axis is its x-intercept thus, making y-intercept zero.

Hence, the correct option is the x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0

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Answer:

D:function, E:not a function

Step-by-step explanation:

We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.

:D

Answer: -5,9

Step-by-step explanation:

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

      = -192 - 16

      = -208

8 will be your x value since it's implied within the question itself.

Answer:

-208

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-3x^2-2x[/tex]

To find f(8), substitute x = 8 into the function:

[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]

Therefore, f(8) = -208.

True Cash Balance As on June 30  is mathematically given as $ 52588

This is further explained below.

As of the Bank Statement dated June 30th, the Unadjusted Balance A = $53,382.

Deposit in Transit June B = $2,545.

Outstanding Check June 30 C = $3,339

Generally, the equation for the true cash balance is mathematically given as

cash balance = A-(C-B)

Therefore

cash balance= 53,382-(3,339-2,545.)

cash balance= 52588

In conclusion, True Cash Balance As on June 30 = $ 52588

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Answer:

9 9 years 9999999999999

Perimeter = 18 units; Area = 9 sq. units

GH = √(-4-4)²+(1-1)² = 8 units

HI = √(4-0)²+(1+2)² = 5 units

IG = √(0+4)²+(-2-1)² = 5 units

Perimeter of the given triangle = 8+5+5=18 units

Semi-perimeter of triangle = 18÷2=9 units

Using Heron's formula; √[s(s-a)(s-b)(s-c)]=Area of triangle;

A= √(9)(9-8)(9-5)(9-5)

  = √(9)(3)(3)

  = 9 sq. units

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Answer:

linear

Step-by-step explanation:

because they're are all in a vertical vay

Answer:

B

Step-by-step explanation:

I am not sure what kind of help you need here. the answer is kind of obvious, already revealed by the names of the lines (AB and CB). they meet or intersect at their joined point B.

Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.

0 Eigenvalue

3 Eigenvalue

The y values of any nxn matrix A that adhere to the following criteria are considered to be its eigenvalues.

When I is the order n identity matrix, det(A - yI) = 0.

In this case, A = [1 2; 1 2], I = [1 0; 0 1], and yI = [y 0; 0 y]. I've added a new line in this notation with ;.

A - yI = [1-y 2; 1 2-y]

det(A - yI) = 1 - y* In other words, - 2 = = 2 - y - 2y + y2 - 2 = 0 = y2 - 3y = 0 = y(y-3) = 0.

y = 0 or y - 3 = 0

y = 3

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Answer:

Slope = 2.3332

Interpretation: As increases by 1 unit,  y increases by 2.332 units

Step-by-step explanation:

Equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept

Comparing y=-2.3332x+123.98 to the standard equation form we get

m = 2.3332
b = 123.98

Slope is rise/run
It tells you the change in y-value for a unit change in x-value

Here 2.332 can be interpreted to mean that as x changes by +1 value, y changes by + 2.332

Answer:

x=5

Step-by-step explanation:

so after five months, the costs would equal each other.

Explanation:

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost. Club A's is y=25x+40 and Club B's is y=30x+15.

Because we know that the prices, y, would be equal, we can set the two equations equal to each other.

25x+40=30x+15.

We can now solve for x by isolating the variable.

25x+25=30x.

25=5x.

5=x

After five months, the total cost would be the same.

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

Given that;

To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.

√361 - 2a² - [b - 17]

√361 - 2(-3)² - [(4) - 17]

√361 - 2(9) - [4 - 17]

√361 - 18 - [-13]

√361 - 18 + 13

19 - 18 + 13

1 + 13

14

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

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Answer:

277g / 40cm³

Step-by-step explanation:

Density = mass / volume

In this case:

volume = 8cm*5cm*4cm = 160cm³

then:

Density = 1088g / 160cm³ = 544g/80cm³ = 277g/40cm³