Graph f(x)=34x+2. Use the line tool and select two points to graph the line.

The centroid of a triangle is the point where the medians of the triangle meets.

The coordinates of the centroid is (-1,2)

The coordinates of the triangle are given as:

[tex]X = (-4,0)[/tex]

[tex]Y = (-1,4)[/tex]

[tex]Z = (2,2)[/tex]

The coordinates of the centroid is:

[tex]C = \frac 13(x_1 + x_2 + x_3,y_1+y_2+y_3)[/tex]

So, we have:

[tex]C = \frac 13(-4-1 + 2,0+4+2)[/tex]

[tex]C = \frac 13(-3,6)[/tex]

Expand

[tex]C = (\frac 13\times -3,\frac 13\times 6)[/tex]

[tex]C = (-1,2)[/tex]

Hence, the coordinates of the centroid is (-1,2)

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Connor and Megan are separated by 50-18,5=31,5 dollars. 7,75-5,5=2,25 $ is the difference between the two saves. To save the same amount, it will take them 14 weeks.

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system).

The number of equations must match the number of unknowns for a system to have a singular solution.

When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve applications.

Generally speaking, if there are n unknowns, we require n equations set up in those unknowns.

The number of weeks, x,

To help Megan, we have:

50+5.5x

We have these for Connor:

18.5+7.75x

For both to possess an equal sum:

50+5.5x=18.5+7.75x

How to find x?

2.25x=31.5

X=31.52.25=14.

Hence we have to save the same amount, it will take them 14 weeks.

Learn more about the system of equations here:

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Answer:

Step-by-step explanation:

4 slices of pizza (gradpoint)

The probability of the presidential candidate selecting a specific route of four capitals is approximately 0.00575. It is not practical to list all the different possible routes to select the best one.

To find the probability that the presidential candidate selects a specific route of four capitals, we need to calculate the number of possible routes and divide it by the total number of routes. Since there are 44 capitals and we need to select 4, we can use the combination formula.

The number of possible routes is given by C(44,4) which is equal to 44!/(4!(44-4)!) = 44!/(4!40!) = (44*43*42*41)/(4*3*2*1) = 91,390.

The total number of routes is 50P44, which is equal to 50!/6! = (50*49*48*47...*7*6!)/(6!) = (50*49*48*47...*7) = 15,890,700.

Therefore, the probability of selecting the specific route of four capitals is 91,390/15,890,700 = 0.00575 (rounded to 5 decimal places). This means that there is a very low probability of selecting this specific route.

It is not practical to list all of the different possible routes in order to select the best one, as there are over 15 million routes. Instead, the candidate may use other criteria such as population density, political demographics, or strategic considerations to determine the best route.

Astronomers provide a range for the Sun's rotation period due to differential rotation, with varying speeds at different latitudes.

This question demands basic understanding of planetaty motion i.e rotation and revolution in general and about motion of sun in particular

Astronomers say that the Sun rotates once every 27 to 31 days because of the phenomenon known as differential rotation. This means that the speed of rotation of the Sun varies based on its latitude.

The rotation period of the Sun is about 25 days at the equator, 28 days at latitude 40°, and 36 days at latitude 80°. Due to this variable rotation speed, astronomers provide a range rather than an exact number for the Sun's rotation period.

18 girls represent 56.25 percent of the total number of students.

To find what percent 18 girls out of 32 students represent, you can set up a proportion comparing the number of girls to the total number of students. This proportion is represented by the fraction 18/32. To convert this fraction into a percentage, multiply it by 100.

Here's the calculation step by step:

Divide 18 by 32 to get the decimal form.

Multiply the result by 100 to get the percentage.

Performing the calculation gives:
(18/32) x 100 = 56.25%

Therefore, 18 girls represent 56.25 percent of the total number of students.

Answer:

a = $7.50h+(n×b)

Step-by-step explanation:

Ava works at a florist shop. She earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.

To determine her earnings in one week the equation will be

a = $7.50h+(n×b)

where a = total amount earned

          h = hours worked in one week

          n = numbers of bouquets arranged

          b = bonus amount for each bouquet

The area of the rectangle is 126 square yards.

Solving the area and perimeter of a rectangle.

The area of a rectangle is the multiplication of the length and the width. The perimeter of the rectangle is calculated by using the formula perimeter = 2(length × width).

Let the Length be (L) and the width be (w).

Perimeter = 2 (length + width)

Perimeter = 2 ((w+5) +w)

Perimeter = 2w + 10 + 2w

Perimeter = 4w + 10

Since Perimeter = 46 yd, then:

46 = 4w + 10

4w = 36

w = 36/4

w = 9 yards

Length = 9 + 5 = 14 yards

The area of the rectangle is:

Area = length × width

Area = 14 yd × 9 yd

Area = 126 yd²

Answer:

[tex]x^2-11x + 13[/tex]

Step-by-step explanation:

Let [tex]f(x) = 2x^2 - 2x + 7[/tex] and [tex]g(x) = x^2 + 9x - 6[/tex]

We need to find f(x)- g(x)

Replace f(x) and g(x). then subtract the expressions

[tex]f(x)-g(x) =(2x^2 - 2x + 7)- (x^2 + 9x - 6)[/tex]

Remove the parenthesis and multiply negative sign inside second parenthesis

[tex]2x^2 - 2x + 7- x^2 - 9x + 6[/tex]

Combine like terms

[tex]x^2-11x + 13[/tex]

did u ever get the answer for this

The given function f(x) =  |[tex]x^{4}[/tex] - x³|  is Option A.  neither even nor odd because substituting -x changes the form of the function inside the absolute value. Thus, the function does not meet the criteria for either even or odd functions.

To determine if the function f(x) = |[tex]x^{4}[/tex] - x³| is even, odd, or neither, we need to check how it behaves under the transformation x -> -x.

An even function satisfies the property f(-x) = f(x) for all x, while an odd function satisfies f(-x) = -f(x) for all x.

First, let's consider the inside of the absolute value:

If we replace x with -x, we get: f(-x) =  |[tex]-x^{4}[/tex] - (-x)³|  = |[tex]x^{4}[/tex] + x³|.

We see that the expression has changed, since |[tex]x^{4}[/tex] - x³| is different from  |[tex]x^{4}[/tex] + x³| . Therefore, f(x) does not exhibit the properties of being either even or odd.

This means the correct answer is:

Option A. The function is neither even nor odd.

Complete question:

Which statement describes the function f(x) = the absolute value of x^4 - x^3?

A. The function is neither even nor odd.

B. The function is both even and odd.

C. The function is even.

D. The function is odd.

divide total number by number of packages

4315 /40 = 107.875

it is not possible because it doesn't divide evenly

Answer:

Triangle ABC is an isosceles triangle.

Step-by-step explanation:

Let AD represent both the median and altitude of triangle  ABC.

A median divides the side in two equal parts so BD=BC.

An altitude is a perpendicular drawn .A perpendicular makes an angle of 90°. Hence <ADB=<ADC=90°

AD is the side common to both the triangles ADB and ADC.

Hence Δ ADB≅ΔADC by SAS congruence postulate.

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.

Answer: A function is so F(X) = Y where for every X exist only one Y, in this case you can see that F(3) = 4 and F(3) = 3, so the independent variable x = 3, has two solutions y.

So the solution is A, because a function cannot have two different y values for one x value.

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

6!6!

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

Answer: Jimmy has 10 balls .

Step-by-step explanation:

Since we have given that

Number of balls Jimmy has = 3

Number of lost balls = 1

Remaining balls Jimmy has = 3-1=2

Number of balls Earl gives to Jimmy = 15

Now,

Total Number of balls Jimmy has = 15+2=17

Again,

Number of balls Jimmy lost = 7

So,

Remaining balls Jimmy has = 17-7=10

So, he has 10 balls at last .