solve this inequality 2(4x-3)≥-3(3x)+5x?

Answer:  The correct option is

(A) [tex]y=-3.5x+57.5.[/tex]

Step-by-step explanation:  We are given to find the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.

From the table and the scatter plot sown in the figure, we note that

the two points that are closest to the line are (5, 40) and (15, 5).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the given line will be

[tex]m=\dfrac{5-40}{15-5}=-\dfrac{35}{10}=-3.5.[/tex]

Since the point (5, 40) is very close to the line, so its equation will be

[tex]y-40=m(x-5)\\\\\Rightarrow y-40=-3.5(x-5)\\\\\Rightarrow y=-3.5x+17.5+40\\\\\Rightarrow y=-3.5x+57.5.[/tex]

Thus, the required equation for the linear model is [tex]y=-3.5x+57.5.[/tex]

Option (A) is CORRECT.

Answer:a and e

Step-by-step explanation:

Got it right

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

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?

divide total pages by pages per minute

33 / 3 = 11 minutes

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:

B: 2.3 x 10^18

expination:

Substitute values into the formula.

F x L = 3.0 x 10*10

F x 1.3 x 10^−8 = 3.0 x 10^10

F = 3.0 x 10^10 1.3 x 10^−8 F = 2.3 x 10^18

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.

The linear equation is y = 2x+ 27.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

points: (-7, 13)  and slope =2

As, we know the equation of line

y= mx +b

as, the line passes through the point (-7, 13) and m= 2

13 = 2(-7) +b

13 + 14 = b

b= 27

Hence, the equation of line is y = 2x+ 27

Learn more about linear equation here:

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Answer:

The total loan payment is:is $1,024,050

Step-by-step explanation:

To know the total cost of this loan we must sum the the purchasing the mortgage loan LM and the PMI:

L=LM+PMI

The 30-year mortgage loan of $205,000 at 5.5% interest rate can be calculated as:

LM=$205,000*(1+0.055)^30

LM=$205,000*4.984 = $1,021,710

Then for the PMI over 24 months:

PMI: $97.5* 24 = $2,340

Therefore the total loan payment is:

L= $1,021,710 + $2,340 = $1,024,050

Answer:

The period, in seconds to two decimal places is, 2.84 sec

Step-by-step explanation:

Using formula:

[tex]T = 2 \pi \sqrt{\frac{l}{g}}[/tex]             ......[1]

where

T represents the Time period in second

l represents the length of the pendulum/

As per the statement:

Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and [tex]\pi = 3.14[/tex]

Substitute the given values we have;

[tex]T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}[/tex]

⇒[tex]T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512[/tex]

Therefore, the period, in seconds to two decimal places is, 2.84 sec

Answer:

2.84 seconds

Step-by-step explanation:

1.) 4   2.) 22  3.) -12

Answer:

Step-by-step explanation:

Si es 2x^2, ya esta en forma simplificada, y no hay mas que le puedes hacer.

Si es 2 por 2, la respuesta es 4.

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.

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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.

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.