Question 5 of 10
Which function is shown in the graph?

Answer: The graph shown

Step-by-step explanation:

Another graph of the function is attached in this answer.

Answer:

The domain is-3<x<3. It can also be (-∞,-3) U (-3,3) U (3, ∞).

Step-by-step explanation:

The U stands for Union. The second  answer usually used only for college algebra.

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

All quadratic equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}[/tex]     (1)

If we know that a = 2, b = - 4 and c = - 3, then the roots of the quadratic equations are:

[tex]x = \frac{4 \pm \sqrt{(-4)^{2}-4\cdot (2) \cdot (- 3)}}{2\cdot (2)}[/tex]

[tex]x = 1 \pm \frac{\sqrt{40}}{4}[/tex]

[tex]x = 1 \pm \frac{\sqrt{10}}{2}[/tex]

By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.

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If the radius of tree stump is 11 inches and volume is 13685 cubic inches then the height will be equal to 36 inches.

Given Radius of tree stump is 11 inches and volume is 13685 cubic inches.

We know that the volume of cylinder will be equal to π[tex]r^{2} h[/tex].

Volume which is given as 13685 cubic inches.

13685=π[tex]r^{2}h[/tex]

π=22/7

13685=π[tex](11)^{2}[/tex]h

h=13685*7/22*121

h=95795/2662

h=35.98

if we round it to nearest tenth then the value of h be 36 inches.

Hence if radius is 11 inches, volume is 13685 cubic inches then the height of tree stump will be 36 inches.

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Answer:36

Step-by-step explanation:

Answer:

4/2 is the wrong answer

Step-by-step explanation:

because it is

The maximum height of the object is 82.7034 from the ground

Velocity is the measure of movement of an object with respect to time.

It is measured in m/sec

h = -4.9t²+21.6t +58.9

dh/dt = -9.8t +21.6

At maximum height ,  velocity = 0

therefore

-9.8t +21.6 = 0

9.8t = 21.6

t = 2.204 sec

h = -4.9 (2.204)²+ 21.6 * 2.204 +58.9

h = -23.803  +47.606 +58.9

h = 82.7034 from the ground

h = 23.80 from the point it is launched.

The maximum height of the object is 82.7034 from the ground

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Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{5 {}^{ - 4x + 7} }{125 {}^{x} } [/tex]

[tex] \frac{5 {}^{ - 4x + 7} }{5 {}^{3x} } [/tex]

[tex]5 {}^{ - 4x + 7 - 3x} [/tex]

[tex]5 {}^{ - 7x + 7} [/tex]

Step-by-step explanation:

2 hours and 45 minutes.

8:45am + 2 hours = 10:45am

10:45am + 45 minutes = 11:30 am

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The lines for the given statements can be plotted as shown below.

The coordinate grid can be filled as,

1)

x        0         3         1

y        3         0         2

2.)

x        0         1         -1

y         1         0          2

3.)

x         0         4         -1

y         -2         0          2

4.)

x         0         1           1

y         -2         0         -2

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Answer:

w (number)  = 2/3

Step-by-step explanation:

Variable w means use the letter w as the unknown number :

This is the equation made from the question :

2+(9w) = 8

Let's subtract 2 from both sides :

9w = 6

Divide both sides by 9 :

w = 6/9

Simplify fraction :

w = 2/3

Hope this helped and have a good day

Answer:

1

Step-by-step explanation:

49 is divisible by 7, 1, 49. 25 is divisible by 5, 1, 25. they are exclusively prime so the highest factor is 1 and the only

Answer:

Step-by-step explanation:

[tex]25x^4-49y^2=(5x^2)^2-(7y)^2\\=(5x^2+7y)(5x^2-7y)\\=(5x^2+7y)[(\sqrt{5} x)^2-(\sqrt{7y} )^2]\\=(5x^2+7y)(\sqrt{5} x+\sqrt{7y} )(\sqrt{5} x-\sqrt{7y} )[/tex]

Answer:

$21.25

Step-by-step explanation:

The cost of the 2 adult tickets before the discount is $8 * 2 = $16

The cost of the 2 child tickets before the discount is $5 * 2 = $10

The total cost before the discount is $16 + $10 = $26

The total cost after the discount is

$26 * (1 - 0.15) =

$26 * 0.85 =

$21.25

The function g(x) is derived by translating the function by the three units, according to the graph.The equation for the red graph will be,g(x) = x²+3

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

From the graph, it is obtained that the function g(x) is obtained by translating the function by the three units.

Hence,the equation for the red graph will be,g(x) = x²+3

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The Graph B  best represents a parabola , Option D has the correct data points and so is the right answer.

A function is a mathematical way of representing relation between two variables.

The function given is

y = 2x²

For x = - 2, y = -2(- 2)² = -8

For x = - 1, y = -2(- 1)² = -2

For x = 0, y = -2(0)² = 0

For x = 1, y = -2(1)² = -2

For x = 2, y = -2(2)² = -8

the  table of x-y will be:

x  - 2    - 1    0    1    2

y    -8     -2   0  -2   -8

The graph is attached with the answer.

The parabola opens downward and has the data points as mentioned above .

Therefore Option D is the correct answer.

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Answer:

Step-by-step explanation:

Complete the following table using the equation: y = 2 x squared

x

-2

-1

0

1

2

y

Plot the points on a graph and determine which graph best represents the equation.

Graph A

On a coordinate plane, a parabola opens up and goes through (1, 3), has a vertex at (0, 0), and goes through (1, 3).

Graph B

On a coordinate plane, a parabola opens down and goes through (negative 1, negative 2), has a vertex at (0, 0), and goes through (1, negative 2).

a.

8, 2, 0, 2, 8; Graph A

b.

-8, -2, 0, -2, -8; Graph A

c.

8, 2, 0, 2, 8; Graph B

d.

-8, -2, 0, -2, -8; Graph B

Please select the best answer from the choices provided

A

B

C

D

   answer is '' a '  got it right

Answer:

Step-by-step explanation:

Answer:

- 112 + 100 n

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d

~~~~~~~

[tex]a_{1}[/tex] = - 12

d = 100

[tex]a_{n}[/tex] = - 12 + 100( n - 1 )

[tex]a_{n}[/tex] = - 12 + 100n - 100

[tex]a_{n}[/tex] = - 112 + 100 n

Answer:

(-2, -4)

Step-by-step explanation:

Use the (x,y) thing:

x = -2

y = -4

therefore, (-2, -4)

Answer:

[tex]80\times3[/tex]

Step-by-step explanation:

Based on the given conditions, formulate:  [tex]80\times3[/tex]

Calculate the product or quotient: 240

get the result: 240

Answer: 240

To find this answer, we had to use the expression 80 * 3, therefore making it the answer.

Answer:

240

Step-by-step explanation:

80*3=240

so u multiply the equation

The solution to the system of equation is (-4 , 2) , Option A is the right answer.

A set of equation whose factors are common are called system of equations.

It is given in the question

3x +5y = -2

3x +7y = 2

On solving this we get

-2y = -4

y = 2

On substitution in any equation

x = -4

Therefore solution to the system of equation is (-4 , 2) , Option A is the right answer.

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Answer:

A.

Step-by-step explanation:

took tha quiz

Answer:

p^2/r

Step-by-step explanation:

so I have shown every work in the picture attached

please let me know if this doesn't help

Because in both graphs the shaded region is above the curve, the correct option is C.

On the graph we can see two parabolas, such that the y-intercepts of these are:

y = 6

y = -4

So we just need to find the pair of options with these y-intercepts, and noticing that for both cases, we must have:

y > parabola.

Because both shaded regions are above the parabolas.

The only option that meets these requirements is option C. Where there is a mistake, as you can see both curves have dashed lines, and always when we have dashed lines we should use the symbols > or <, while in that option we have a ≥ symbol

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Answer:

Interpretation: A cube with sides of 4 units each has a volume of 64 units³.

Explanation:

As v(s) represents the volume of the cube, s represents the length of the sides.

∴ v(4) represents the volume of a cube with sides of  units, and the volume is 64 units³

Manual paid with a $10 bill and he got $2.46 as a change.

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −.

Money spent on sandwich=$4.56 and money spent on drink=$2.98.

We need to find out how much did he spend in all.

That is, the total money spent=4.56+2.98=$7.54

He paid with a $10 bill, he gets change as 10-7.54=$2.46

Hence, he paid with a $10 bill and he got $2.46 as a change.

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The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).

Let r be the radius of the circle. Then the area of the circle will be

Area = πr²

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

Area = (θ/2π) x (area of the circle)

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Answer:

y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2,  y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

Answer:

Its A

Step-by-step explanation:

I said so

6/7 converted to a decimal is 0.8571

From the question, we are to convert the given fraction to a decimal

The given fraction is

6/7

6/7 = 0.8571

Thus,

6/7 expressed as a decimal is 0.8571

Hence, 6/7 converted to a decimal is 0.8571

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