Under her cell phone plan, Myesha pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Myesha can use while staying within her budget.

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

Answer:

Step-by-step explanation:

-2 + 3x  = 6wv

Add 2 to both sides

3x = 6wv + 2

Divide the entire equation by 3

[tex]\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}[/tex]

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

Answer:

7

Step-by-step explanation:

To solve this problem, find the greatest common factor of the numbers representing the numbers of apples and pears respectively.

 Each box will contain 3 pears and 4 apples.

 And total number of fruits in each box will be 7 fruits.

It's given in the question,

Blake has 64 apples and 48 pears with him.

He has to put equal numbers of each fruit in a box.

To find the greatest number of fruits he can put in a box we will find the greatest common factor (GCF) of the given numbers first.

Therefore, greatest common factor of these numbers =  =  

GCF of these numbers tells about the number of boxes that can be prepared.

Now the number of pears that can be put in each box =  

And the number of apples in each box =  

        Therefore, each box will contain 3 pears and 4 apples.

        And total number of fruits in each box = 3 + 4 = 7 fruits.

9514 1404 393

Answer:

  D.  -2.09 degrees per minute

Step-by-step explanation:

The average rate of change is the change in temperature divided by the change in time:

  m = (T(30) -T(10))/(30 -10)

  = ((15 +155 e^(-30·0.02)) -(15 +155 e^(-10·0.02))/20

  = (155/20)(e^-0.6 -e^-0.2) ≈ -2.09 . . . degrees per minute

Answer:

the answer is -120

so the answer is -120

Answer:

f(g(x) ) =  (x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5

Step-by-step explanation:

f(x) = x³- 2x² + 3x - 5                g(x) = x² + x - 1

f(g(x))

f(x² +  x - 1)      substitute x² +  x - 1 into each x term in using f(x)

(x² + x - 1)³ - 2(x² + x - 1)² + 3(x² + x - 1)  - 5

Answer:

do u need help?

The amount of time it would take for 5 people to build 15 sheds is; 3 days.

Since, according to the question;

In essence; By proportion 1 person can build 4sheds in four days.

We are required to determine how long it will take 5 people to build 15 sheds.

Therefore: for 1 person;

Therefore, it takes 1 person 15 days to build 15 sheds.

Ultimately, when the job is divided between 5 people; It takes 15/5 = 3 days to build 15 sheds.

Read more:

httpss://brainly.com/question/23459360

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

infinity^2

2+2=4

Step-by-step explanation:

Answer:

Infinity^2, 4

Step-by-step explanation:

Infinity x Infinity = Infinity^2

2 + 2 = 4

oo + oo = oooo

Answer:

An empty subset would still be a subset

{}

Then let's pick one at a time

{red}

{blue}

{yellow}

Then in pairs

{red, blue}

{red, yellow}

{blue, yellow}

and finally, everything goes in!

{red, blue, yellow}

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

Answer: 23

Step-by-step explanation:

okay so if x = -9 and y = 8 you need to place it into the equation like so

-9x8-20 OVER -9+5

then it should be calculated :

-72 - 20 OVER -9 + 5

and calculate it again :

-92 OVER -4

and simplify your answer by dividing it since it’s a fraction (OVER)

-92 divided by -4 is 23.

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

Answer:

3 + 1 * 7 = 28 I don't know if that's what you want but

Answer:

The answer is 3

Step-by-step explanation:

Ok so basicaly the equation is 7(x+1)=28

there really is no hard math involved. I did it pretty quick in my head.

28/7=4

4-1 = 3

so ya  

Answer:

n = -5

Step-by-step explanation:

Let n be the unknown number

n+ (-11) = -16

Add 11 to each side

n+-11+11 = -16+11

n = -5

Answer:

- 5

Step-by-step explanation:

let n be the number , then

n + (- 11) = - 16 , that is

n - 11 = - 16 ( add 11 to both sides )

n = - 5

B. 1969

Step-by-step explanation:

Hope it helped you! :) (Please correct me if I'm wrong.)

Answer:

No, but the reason depends. Pick the one that applies to the question.

Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.

Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.

Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.

Answer:6 and 7

Step-by-step explanation:

Y = 5

The triangle is a right triangle so use the Pythagorean theorem:

Y = sqrt(3^2 + 4^)

Y = sqrt(9 + 16)

Y = sqrt(25)

Y = 5

I think it might be D

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

https://brainly.com/question/4084552

#SPJ5

Answer:

The slope of the line is 2/3. In context of plant growth, every 3 days, the plant grows 2 inches.

Step-by-step explanation:

To find slope, you count the distance between y-values and x values. You then get a fraction of y over x.

Hope this helped and have a great day,

Ginny

The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The points on the graph are (2, 1) , (4, 2) and (7, 3.5).

Now,

Since, Slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Thus, The  Slope of the line passing through the points (2, 1) and (4, 2) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (2 - 1) / (4 - 2)

⇒ m = 1 /2

Thus, The slope of the graph is 1/2, which means that the plant growth 1 inches in every 2 days.

Learn more about the slope visit:

https://brainly.com/question/16949303

#SPJ2

Answer:

4 units left : subtract 4 from each x coordinate  

3 units down : subtract 3 from each y coordinate  

Step-by-step explanation: