Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A sign labeled 2x-1 on one side. A: 4x^2 - 1 B:4x^2 + 1 C: 4x^2 + 4x - 1 D: 4x^2 - 4x + 1

Answers

Answer 1

Answer:

D: 4x² - 4x + 1

Step-by-step explanation:

(2x - 1) ( 2x - 1)

4x² - 2x - 2x + 1

4x² - 4x + 1

Answer 2

The correct answer is d) 4x2 - 4x + 1.

The area of a square is found by squaring the side length:

(2x-1)? = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - = 1(-1) = 4 x 2 - 2x - 2x + 1 = 4x2-4x+1


Related Questions

which of the following are exterior angles ? check all that apply

Answers

Answer: A, D,E

Step-by-step explanation:

The exterior angles are the angles that are out of the figure.In this case angle, 4,3 and 2 are all exterior angles.

Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3

Answers

Answer:

  C)  y ≥ 3

Step-by-step explanation:

The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.

  y ≥ 3 . . . . matches C

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Answers

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

[tex]2^x=1-3^x[/tex]

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

[tex]2^{-0.75}=1-3^{-0.75}[/tex]

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

[tex]2^{-1.25}=1-3^{-1.25}[/tex]

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

[tex]2^{0.75}=1-3^{0.75}[/tex]

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

[tex]2^{1.25}=1-3^{1.25}[/tex]

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

22/55 of a number is what percentage of that number

Answers

Answer:

[tex]\boxed{40}[/tex]

Step-by-step explanation:

Divide 22/55 to get 0.4.

Multiply 0.4 * 100 to get 40.

That value is your percentage.

Answer:

40 percent

Step-by-step explanation:

22/55

simplify by 11

2/5

multiply by 20

40/100

turn to percent

40 percent

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?

Answers

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

What is the average time for the toy car to move 1.0 m on dirt? 20.2 s, 24.4 s, 28.1 s or 60.7 A student collected data about the distance a ball falls over time. Which type of graph should he use to represent the data? circle graph, scatterplot, histogram or bar graph

Answers

Answer:

1) Incomplete question

2) Scatterplot

Step-by-step explanation:

1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be

velocity = distance ÷ time

Hence; time = distance ÷ velocity

2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.

Answer:

answer; A. 20.2 s.

Step-by-step explanation:

i had the same question but i had a graph to help me anyways

20.0 + 19.2 + 21.5 = 60.7 s, but you divide the total by 3, then here is your answer: 20.23333333333333 and you simplify it to 20.2 s,

Solve (s)(-3st)(-1/3)

Answers

Answer:

Step-by-step explanation

PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

[tex]A_s = 36\pi - 72[/tex]

Step-by-step explanation:

[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]

Solve for X in the diagram below
PLS HELP BRAINLIST AND A THANK YOU WILL BE REWARDED :)

Answers

The 3 angles need to equal 180

The middle angle is given as 100.

180 -100 = 80

There is an x on each side so you have 2x

2x = 80

X = 80/2

X = 40 degrees

A plane set off to Paris at a speed of 300mph. On the return flight of 12 hours, the plane cruised at 242mph. How many hours long was the flight to Paris

Answers

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

Use the figure shown. Find the slope of the line.
у
4
3
C(-2,2)
B(-4, 2)
2
1
A(-2, 1)
-7-6-5-4-3-2
OY
X
The slope is

Answers

Answer:

The slope is [tex] -\frac{1}{2} [/tex]

Step-by-step explanation:

With points A(-2, 1), and B(-4, 2), slope (m) of the line can be calculated using the formula [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex],

Where,

[tex] y_2 = 2 [/tex]

[tex] y_1 = 1 [/tex]

[tex] x_2 = -4 [/tex]

[tex] x_1 = -2 [/tex]

Plug in the values into the slope formula:

[tex] m = \frac{2 - 1}{-4 -(-2)} [/tex]

[tex] m = \frac{2 - 1}{-4 + 2} [/tex]

[tex] m = \frac{1}{-2} [/tex]

[tex] m = -\frac{1}{2} [/tex]

A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?

Answers

Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

Two mechanics worked on a car. The first mechanic charged $85 per hour, the second mechanic charged $90 per hour. The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200. How lond did each mechanic work?

Answers

Answer:

First mechanic worked for = 10 hours

Second mechanic worked for = 15 hours.

Step-by-step explanation:

Let the number of hours the First mechanic worked = X

Let the number of hours the Second mechanic worked = Y

The first mechanic charged = $85 per hour

The second mechanic charged = $90 per hour

We are told in the question that: The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200

Hence, we have the following equations from the above question

85X + 90Y = 2200....... Equation 1

X + Y = 25 ........ Equation 2

X = 25 - Y

Substitute 25 - Y for X in equation 1

85(25 - Y) + 90Y = 2200

2125 - 85Y + 90Y = 2200

Collect like terms

5Y = 2200 - 2125

5Y = 75

Y = 15

Since Y is the number of hours the second mechanic worked, hence, the second mechanic worked for 15 hours.

X + Y = 25 ........ Equation 2

Y = 15

X + 15 = 25

X = 25 - 15

X = 10

Since X represents the number of hours that the first mechanic worked, hence, the first mechanic worked for 10 hours.

Therefore, the first mechanic worked for 10 hours and the second mechanic worked for 15 hours.

How many and of which kind of roots does the equation f(x) = x3 – x2 – x + 1 have?
A. 2 real; 1 complex
B. 1 real; 2 complex
C. 3 real
D. 3 complex

Answers

C i think.................

The kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

What is a polynomial equation?

A polynomial equation is a sum of constants and variables. A polynomial is an expression consisting of indeterminate's (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

For the given situation,

The equation [tex]f(x) = x^3 - x^2 - x + 1[/tex]

The roots of the polynomial equation can be found as follows,

Step 1:

Substitute the value of x in which the equation f(x) equals zero.

⇒ Put [tex]x = 1[/tex], the equation becomes

⇒ [tex]f(1) = 1^3 - 1^2 - 1 + 1[/tex]

⇒ [tex]f(1) = 0[/tex]

Thus [tex](x - 1)[/tex] is the one root of the equation.

Step 2:

The other roots can be found by framing the quadratic equation on dividing the equation [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex]

On dividing [tex]f(x) = x^3 - x^2 - x + 1[/tex] by [tex](x - 1)[/tex] we get the quotient,

⇒ [tex](x^{2} -1)[/tex]

Step 3:

Now factorize the quadratic equation, [tex](x^{2} -1)[/tex]

It can be expand using the identity,

⇒ [tex](x^{2} -1^{2} ) = (x+1)(x-1)[/tex]            [∵ (a^2 - b^2) = (a+b)(a-b) ]

Thus the factors of the equation are [tex](x-1)(x+1)(x-1)[/tex]. So the roots are [tex]1,-1,1[/tex].

Hence we can conclude that the kind of roots does the equation f(x) is option (C) 3 real roots is the correct answer.

Learn more about polynomials here

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30 times the square of a nonzero number is equal to eight times the number what is the number

Answers

Answer: 4/15

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]

Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:

[tex]\frac{8}{30} = \frac{4}{15}[/tex].

Therefore, the number is [tex]\frac{4}{15}[/tex].

Please help with 6 and 7

Answers

Answer:

6a) i- 2hrs 36mins  ii- 3hrs 12mins

b) car A≈ 76.9km/h  car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km  car B=60km

c) 30km

d) car A≈36mins  car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

Answers

Answer: The correct answer is no solution.

The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Let the two unknown numbers be x and y;

The smaller number is x

The larger number is y

If one number is twice the other number, hence;

y = 2x ................. 1

Also, if the difference of the smaller number and half the larger number is 20, then:

x - y/2 = 20 .................. 2

Substitute the equation 1 into 2 to have:

x - (2x/2) = 20

x - x = 20

Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

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Translate the following phrase into an algebraic expression using the variable m. Do not simplify
the cost of renting a car for one day and driving m miles if the rate is $48 per day plus 50 cents per mile

Answers

Answer:

y = 0.5X + 48

Answer:

48 + 0.50m

Step-by-step explanation:

m, the variable, equals to the number of miles driven. Since there is a base fare of $48, that will be the constant. It is $0.50 per mile, so it's 0.50m. Substituting for m, the miles driven, will give you the final cost.

If a 100-pound block of ice is placed on an inclined plane that makes an angle of 35° with the horizontal, how much friction force will be required to keep it from sliding down the plane? Choose the equation that could be used to solve the problem if x represents the force required to keep the block from sliding down the plane.

Answers

Answer:

F = 100(.5736)  

= 57.36 lbs. (rounded off to 2 decimal places)  

2) sin60 = .866  

F = 18(.866)  

= 15.59 lbs. (rounded off to 2 decimal places)

Step-by-step explanation:

F = friction

Answer:

100sin35° = x

Step-by-step explanation:

I did the assignment, this was the correct answer for me.

land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?

Answers

Answer:

5,383,000  / *improvments cost 8,074,500

Step-by-step explanation:

if 2.5 is by 'times' then,

13,457,500 / 2.5 =

5,383,000

Which means the cost of the land is 5,383,000

To check just multiply:

5,383,000 x 2.5 = 13,457,500

*Extra

13,457,500 - 5,383,000

= the cost of improvements =  8,074,500

Hope this helps, and have a good day :)

Answer:

$3,845,000

Step-by-step explanation:

Land cost = lDevelopment cost = dTotal cost = $13,457,500

As per given:

d= 2.5 l

Then total is:

l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000

Cost of the land alone is  $3,845,000

Point P' (1, 5) is the image of P (-3,1) under a translation. Determine the translation. Use non-negative numbers.

Answers

Answer:

T: 4 units right, 4 units up

Step-by-step explanation:

From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.

From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.

T: 4 units right, 4 units up

The translation vector is (4, 4).

Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:

[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]

[tex]T(x,y) = (1,5) - (-3, 1)[/tex]

[tex]T(x,y) = (4,4)[/tex]

The translation vector is (4, 4).

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Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos

Answers

Answer:

El precio de las manzanas = 27 pesos

El precio de las naranjas = 54 pesos

El precio de las bananas = 19 pesos

Step-by-step explanation:

Los parámetros dados son;

El monto total gastado = 100 pesos

Sea el precio de las naranjas = x

Sea el precio de las manzanas = y

Sea el precio de los plátanos = z

La cantidad pagada por las naranjas = 2 · y = x

La cantidad pagada por los plátanos = y - 8 = z

Por lo tanto, tenemos;

La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas

∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y

100 = 4 · años - 8

4 · y = 100 + 8 = 108

y = 108/4 = 27

y = 27

De

z = y - 8 tenemos;

z = 27 - 8 = 19

De 2 · y = x, tenemos;

2 × 27 = x

x = 54

Por lo tanto;

El precio de las naranjas = 54 pesos

El precio de las manzanas = 27 pesos

El precio de los plátanos = 19 pesos.

evaluate 15.2% of a 726 + 12.8% of 673

Answers

Answer:

196.496

Step-by-step explanation:

0.152x726+0.128x673

110.352+86.144

=196.496

Question 2 Multiple Choice Worth 5 points)
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
O2 units
0 6 units
O V12 units
O V20 units

Answers

Answer:

√20 units.

Step-by-step explanation:

Please see attached photo for diagram.

The other leg of the triangle is x as shown in the attached photo.

Using the pythagoras theory, we can obtain the the value of x as follow:

x² = 4² + 2²

x² = 16 + 4

x² = 20

Take the square root of both side.

x = √20 units

Therefore, the value of the other leg x of the triangle is √20 units

Answer:

[tex]\sqrt{} 20[/tex] is your answer hope this helps

Step-by-step explanation:

Write 30+x^2-11 in standard form.​

Answers

Answer:

x^2+19

Step-by-step explanation:

6 points are placed on the line a , 4 points are placed on the line b . How many triangles is it possible to form such that their vertices will be the given points, if a ∥ b ?

Answers

Answer:

7

Step-by-step explanation:

Given line a with 6 points on it, and line b with 4 points on it. Line a is parallel to line b, such that the two lines do not meet at any point even when extended.

Join the first point on line a to that on b, then back to the second point on a, return back to the second point on b, and continue till the line stops at the 5th point on line a. This forms triangles with vertices at the given points on the lines. The possible number of triangles that can be formed is 7.

jumbo fancy store wants to place an order for candles , if one box contains 144 candles, how many boxes must the shop order for a stock of 100 080 candles?

Answers

Answer: The shop must order 695 boxes

Step-by-step explanation:

To find how many boxes that holds 100,080 candles, first divide the amount of candles that is needed to the measured amount of candles that is in a box.

144 candles= 1 box

100,080= ? Box(es)

So:

100,080 ÷ 144= 695 boxes

I hope this helps! I'm sorry if it's wrong.

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Answers

Answer:[tex]14cm^{2}[/tex]

Step-by-step explanation:

diameter=7.3cm

radius=[tex]\frac{diameter}{2}[/tex]

          =[tex]\frac{7.3}{2}[/tex]

          =3.65cm

angle =120°

area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]

=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]

=[tex]13.95cm^{2}[/tex]

≅[tex]14cm^{2}[/tex]

-10(x+5) with steps canvas

Answers

Answer:

[tex]\Large \boxed{-10x-50}[/tex]

Step-by-step explanation:

[tex]-10(x+5)[/tex]

Distribute -10 to the terms in the brackets.

[tex]-10(x)-10(5)[/tex]

[tex]-10x-50[/tex]

Answer: -10x - 50

Step-by-step explanation:

Distribute -10 to both terms.

-10 * x = -10x

-10 * 5 = -50

The equation now looks like this:

-10x - 50

You have nothing to simplify, so you're finished.

Hope this helps!

inscribed angles. I need answers asap, thank you!​

Answers

Answer:

60°

Step-by-step explanation:

The whole circunference is 360° from a central angle

so from an inscribed angle is 180°

notice that arc ABC + arc ADC make the whole circunference

so the inscribed angles that support those arc together must add to 180°

120°+b=180

b=60

from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180

Other Questions
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