does this equation describe a linear function
Y=2/x-28

Answer:

The 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.

Step-by-step explanation:

In 2009, the world's largest pumpkin weighed 1,725 kilograms.

An average-sized pumpkin weighs 5,000 grams.

As the answer is needed in kilograms, we will convert 5000 grams in kilograms.

1 gram = 0.001 kilogram

So, 5000 grams = [tex]5000\times0.001[/tex] =5 kilograms.

Difference between weigh = [tex]1725-5=1720[/tex] kilograms

So, the 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.

Answer:

B. [tex]61^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a quadrilateral. We are asked to find the measure of angle D.

We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].

We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:

[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]

[tex]2D=122^{\circ}[/tex]

[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]

[tex]D=61^{\circ}[/tex]

Therefore, the measure of angle D is 61 degrees and option B is the correct choice.

Answer: The equation of the circle is [tex]x^2+y^2=r^2.[/tex]

Step-by-step explanation: We are given to write the equation of a circle centered at the origin.

We know that the standard equation of a circle with center at the point (g, h) and radius 'r' units is given by

[tex](x-g)^2+(y-h)^2=r^2~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The co-ordinates of the origin are (0, 0).

So, if the center of the circle is at the origin, then we have  

(g, h) = (0, 0).

Therefore, from equation (i), we have

[tex](x-0)^2+(y-0)^2=r^2\\\\\Rightarrow x^2+y^2=r^2.[/tex]

Thus, the required equation of the circle is [tex]x^2+y^2=r^2.[/tex]

Answer:

[tex]y=0.05x[/tex]

Step-by-step explanation:

Given :

x                    Cost, y  

150               $7.50  

220              $11.00

250              $12.50  

275              $13.75

To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Solution:

To find equation we will use two point slope form.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(150,7.50)[/tex]

[tex](x_2,y_2)=(220,11.00)[/tex]

Substitute the values in the formula.

[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]

[tex]y-7.50=0.05(x-150)[/tex]

[tex]y-7.50=0.05x-7.50[/tex]

[tex]y=0.05x[/tex]

Hence the equation which represents the variation is   [tex]y=0.05x[/tex]

Final answer:

The area of Greenland in scientific notation is 8.4 x 10⁵ square miles.

Explanation:

The area of Greenland is 840,000 square miles. Writing this number in scientific notation involves expressing it as the product of a number between 1 and 10 and a power of 10.

To convert 840,000 to scientific notation, first identify the coefficient that is between 1 and 10. In this case, it is 8.4. Next, count how many places you move the decimal point to get from 840,000 to 8.4. You move the decimal five places to the left, so the exponent for 10 will be 5. Thus, the scientific notation for 840,000 is 8.4 × 10⁵.

Answer:

D) translation, then reflection

Step-by-step explanation:

First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.

So, the correct answer is - translation, then reflection

In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.

Answer:

option: D is the correct answer.

( D. 64=0.025 x+7 )

Step-by-step explanation:

We are given step as:

[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]

?

57=0.025x

-----------(2)

2280= x.

We are asked to find the missing step.

Clearly after equation (1)

They have squared the equation both side to obtain:

[tex]64=0.025x+7[/tex]

and then they took the constant term to the left hand side to obtain equation (2).

[tex]64-7=0.025x\\\\57=0.025x[/tex]

Hence, the correct option is:

Option: D

D. 64=0.025 x+7

Answer: 64=0.025x+7

Step-by-step explanation:

a p e x

Answer:

The answer is 2788 miles.

Step-by-step explanation:

The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers.

The given conversion rate is:

1 mile = 1.609 kilometers

or 1.609 km = 1 mile.

So, 1 km = [tex]\frac{1}{1.609}[/tex] miles

And 4485 km = [tex]\frac{1}{1.609}*4485[/tex] miles

= 2787.45 miles.

In nearest miles we can round this to 2788 miles.

Answer:

D

Step-by-step explanation:

The missing step is to perform the inverse of a square root by squaring both sides of the equation. This means to multiply 18*18=324 and the square root expression leaving just the inside untouched. The correct step is D.

Answer:

answer is d

Step-by-step explanation:

1st equation: x +y =5

 2nd equation: x = y +7

replace x in 1st with 2nd

y +7 +y =5

2y+7 =5

2y =-2

y = -1

now replace y in 2nd with -1

x = -1 +7

x = 6

answer:

x = 6

y = -1

Answer:

A

Step-by-step explanation:

for example--

         If -2  ≤x <-1 then value of function is -2

        If   -1 ≤x < 0 then value of function is -1

        If   0 ≤x < 1 then value of function is 0

        If   1 ≤x < 2 then value of function is 1

and so on.

for example--

         If -2  < x ≤ -1 then value of function is -1

        If   -1 < x ≤ 0 then value of function is 0

        If   0 < x ≤ 1 then value of function is 1

        If   1 < x ≤ 2 then value of function is 2

and so on.