Which is the correct graph of y=2/x^2-4 ?

Answer:

1. [tex]x=-1; x=15[/tex]
2. Impossible

Step-by-step explanation:

About #1.

There are two ways of reasoning.

Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]

[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]

Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).

#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.

Step-by-step explanation:

180 grams of flour is needed for 20 short bread biscuits to find how many floor is needed per biscuit we divide

since we are find the value of floor per shortbread biscuits we then multiply it by 60

[tex] \therefore [/tex] she needs 540g to make 60 short bread biscuit

~ Done~

Answer:

68 units

Step-by-step explanation:

Given:

As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.

Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:

[tex]\sf distance=y_A-y_B=80-12=68 \ units[/tex]

Answer:

1 (the answer will always be 1)

Step-by-step explanation:

Let's forget about the absolute value signs for a second and just look at what's inside

[tex]\frac{x+y}{-x-y}[/tex]

This can be rewritten as

[tex]-\frac{x+y}{x+y}[/tex]

When you have the same numerator and denominator, it will always come out to 1, so we can just say that this is saying

[tex]-\frac{x+y}{x+y} = -1[/tex]

Now, back to the absolute value signs

This comes out to negative 1, but the absolute value signs means to always change the negative to a positive (but if it's a positive, it stays positive!)

So that means:

[tex]|-1| = 1[/tex]

and 1 is your answer

Answer:

(x^4/3x^2/3)^1/3

using the power of powers rule  (multiply the exponents)

x^(4/3*1/3)  x^(2/3* 1/3)

x^ (4/9)  ( x^ 2/9)

when multiply exponents, add

x^ (4/9 + 2/9)

x^ (6/9)

x^ (2/3)

Check the picture below, so the lines look more or less like so, so the shape that we'll be getting will be the shape of a bowl with a hole in it, thus we'll use the washer method.

the way I use to get the larger Radius is simply using the "area under the curve" method, namely f(x) - g(x), where g(x) in this case is the axis of rotation.

so to get "R" and "r" we can get it by

[tex]\stackrel{y = 1}{(1)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies 1+3\implies \stackrel{R}{4} \\\\\\ \stackrel{y = \ln(x)}{\ln(x)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies \stackrel{r}{ln(x)+3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{R^2}{(4)^2}~~ - ~~\stackrel{r^2}{[\ln(x)+3]^2}\implies 16~~ - ~~[\ln^2(x)+6\ln(x)+9] \\\\\\ \ln^2(x)+6\ln(x)+7~\hfill \boxed{\displaystyle\int~[\ln^2(x)+6\ln(x)+7]dx}[/tex]

Answer: 5

Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.

Answer:

The point at f(-3) is at (-3,1).

Step-by-step explanation:

To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.

So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.

Remember that ordered pairs are formatted as (x,y).

Hope this helps.

Answer:

7 Units^2

Step-by-step explanation:

If we add an exact copy of the triangle, we can make a parallelogram.

Then we can use the parallelogram's area to figure out the triangle's area.

Hint #22 / 4

The original triangle has \dfrac{1}{2}

2

1

​

start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.

Hint #33 / 4

\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}

Area of parallelogram

Area of triangle

​

=base×height

=

2

1

​

×base×height

=

2

1

​

×7×2

=

2

1

​

×2×7

=1×7

=7

​

Hint #44 / 4

The triangle has an area of 777 units^2

2 squared.

The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the figure:

The base length = 7 units

The height of the triangle = 2 units

Area of the triangle = (7x2)/2

= 7 square units

Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer:

The graph would not be as able to see the form and/or function so hope this helps

Answer:

y < 1

Step-by-step explanation:

graphing with inequality

Answer:

3/1/2

Step-by-step explanation:

please mark me the brainiest

Answer:  There should at least be 23 tables

Step-by-step explanation:

If there is 23 tables there will still be six students with nowhere to sit :)

Answer:

The correct answer is B: 3 cubic feet.

Step-by-step explanation:

If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be [tex]3^{3}=27 ft^{3}[/tex]. The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = [tex]24 ft^{3}[/tex]. Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 [tex]ft^{3}[/tex].

Answer:

A

Step-by-step explanation:

26 + 28 = 54

54 + 21 = 75

75 + 13 = 88

88 / 4 = 22

Answer is A

Answer: 22

Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88

Then divide 88 by 4: 22

Answer:

The answer is B.

Step-by-step explanation:

15÷3=5    15÷5=3

30÷3=10   30÷5=6

45÷3=15    45÷5=9

60÷3=20    60÷5=12

[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]

Angle A = 137

Angle B = 93

what is a quadrialateral?

A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360

Introducing angle C such that

A + C = 180 (angle on a straight line)

C + 47 + 90 = 180 (sum of angles of a trianlge)

C = 180 - 90 - 47

C = 43

hence

A + 43 = 180

A = 180 - 43

A = 137                  

A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )

37 + B + 90 + 40 = 360

B  = 360 - ( 137 + 90 + 40 )

B = 93

Read more on quadrilaterals here: https://brainly.com/question/16691874

Answer:

Shirt= $5.50

Pant=$10

Step-by-step explanation:

Let's shirt be 'x' and pant be 'y'

=}. 3x + y = $26.50

4x + 2y = $42

=}. 3x + y = $26.50

2x + y = $21. ( then first term minus

second term )

=}. x = $ 5.50

Now, y = $26.50 - 3x

= $26.50 - 16.50

= $10

a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.

b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).

El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.

a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:

[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex]   (1)

Donde:

Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:

[tex]0.4\cdot t^{2}-500 = 0[/tex]

[tex]t \approx 35.355\,s[/tex]

El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]

b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:

[tex]v = v_{o} + a\cdot t[/tex]   (2)

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:

[tex]v = 0 + 0.8\cdot (35.355)[/tex]

[tex]v = 28.284\,\frac{m}{s}[/tex]   [tex]\left(101.822\,\frac{km}{h} \right)[/tex]

La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]

Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814

Step-by-step explanation:

-80 is less than 0.

+76 is more than 0.

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2

Answer:

28 cars

Explanation:

Let "n" be the cars added in the collection

solve:

[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]

[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]

[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]

[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]

[tex]\rightarrow \sf -7 =0.25n[/tex]

[tex]\rightarrow \sf n = 28[/tex]

Thus, he needs to add 28 cars in the collection to make the collection 75% cars.

Answer:

28 cars

Step-by-step explanation:

Total number of cars and trucks = 20

Cars make up 40% of the collection

⇒ Number of cars = 40% of 20

                              = 0.4 x 20

                              = 8 cars

⇒ Number of trucks = total collection - number of cars

                                  = 20 - 8

                                  = 12 trucks

To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:

(Added cars + existing cars) to total collection = 75%

⇒ x + 8 : x + 8 + 12 = 75 : 100

⇒ x + 8 : x + 20 = 75 : 100

[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]

⇒ 100(x + 8) = 75(x + 20)

⇒ 100x + 800 = 75x + 1500

⇒ 100x -75x = 1500 - 800

⇒ 25x = 700

⇒ x = 28

Therefore he would need to add 28 cars to his collection to make his collection 75% cars.

Check

Number of cars = 8 + 28 = 36

Number of trucks = 12

Total collection = 36 + 12 = 48

Number of cars / total collection = 36/48 = 0.75 = 75%

Answer:

567 ghbvc. the high but

Step-by-step explanation:

solve accordingly to the picture

hope it helps

The median value in the data set is the average of the two middle values which is: 23.

In an ordered data set, the median is the middle value or average of the two middle values in the data set.

List out each data point in the data set given:

20, 20, 20, 22, 22, 24, 26, 26, 26, 26

The middle values in the data set are, 22 and 24.

Median = (22 + 24)/2

Median = 23

Learn more about the median on:

https://brainly.com/question/26177250

Step-by-step explanation:

y = -x/2 - 1

the y-intercept is right there : -1.

it is the y-value when x = 0

the point of y-intercept is therefore (0, -1).

the x-intercept is the other way around. it is the x- value when y = 0.

0 = -x/2 - 1

1 = -x/2

-2 = x

the point of x-intercept is therefore (-2, 0)

Answer:

42,40,58

Step-by-step explanation:

Answer:

48 miles

Step-by-step explanation:

To find the mileage when both cost the same, first form two equations for the total cost for each rental place.

Let the mileage be m.

Sunshine Rental

Daily rate= $57.99

Total cost= $(57.99 +0.48m)

City Rentals

Daily rate= $58.95

Total cost= $(58.95 +0.46m)

Let's equate both equations together.

When both costs the same,

57.99 +0.48m= 58.95 +0.46m

0.48m -0.46m= 58.95 -57.99

0.02m= 0.96

Solve for m:

m= 0.96 ÷0.02

m= 48

The cost is the same at 48 miles.

Answer:

b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over