The function rule for this graph is
y =

Answer:

Step-by-step explanation:

Lease years = 2 years

Allowed mileage per year = 10,000 miles

After 4 months of driving ; 5600 miles on car

If driving habit stays consistent, Angel won't stay under the alloted mileage for years,

If 4 months = 5600 miles

Average miles driven per month :

5600 / 4 = 1400 miles / month

After two years ; ( 2 × 12) = 24 months

Total miles driven :

1400 miles × 24 = 33600 miles

Total alloted miles for 2 years:

10,000 × 2 = 20,000 Miles

Excess miles driven;

20,000

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

a)

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

[tex](x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36[/tex]

b)

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

[tex](x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1[/tex]

c)

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

[tex](x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1[/tex]

Hence , this is the required solution .

Answer:

Holy bloop you gotta learn

Step-by-step explanation:

you dumb

go to school

and learn

Answer:

(-3,-1)

Step-by-step explanation:

Answer:

the answer is A

bro please help mee

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

you put the answer on the board

Hi there!

~

[tex]x + \frac{2}{2} (\frac{1}{2} )[/tex]

= [tex]x + \frac{1}{2}[/tex]

Hope this helped you!

Answer:

;_(

Step-by-step explanation:

Answer:

4453r plss im soo poor in fortnite honour64 pls gift me skins

Step-by-step explanation:

Hey there! I'm happy to help!

Let's say that our fraction is x.

x=0.5555555...

Let's get rid of the repeating stuff. If you multiplied x by 10, the fraction would be equal to 5.5555555.....

x=0.55555555....

10x=5.5555555.....

What if we subtracted the first equation from the second? Then all of the repeating stuff would be gone!

9x=5

We divide both sides by 9.

x=5/9.

Have a wonderful day! :D

Answer:

rawr

Step-by-step explanation:

Answer:

Your correct answer is -81/10

Step-by-step explanation:

[tex]\frac{5}{100}- (8.1 + \frac{5}{100})[/tex]

= [tex]\frac{1}{20} - (8.1 + \frac{5}{100})[/tex]

=   [tex]\frac{1}{20} - (8.1 + \frac{1}{20})[/tex]

= [tex]\frac{1}{20} -\frac{163}{20}[/tex]

[tex]=\frac{-81}{10}[/tex]

Answer:

10<=w<=33

Step-by-step explanation:

length is 10 so width can only add up to 20 less than those

40-20=20

20/2=10

76-20=66

66/2=33

p.s. <= is greater than or equal to oops

Answer: x=-18

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex] \huge{ \fbox{ \sf{x = - 18}}}[/tex]

Step-by-step explanation:

[tex] \text{4(7x + 3) = - 3(2 - 9x)}[/tex]

[tex] \text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}[/tex]

[tex] \hookrightarrow{ \sf{28x + 12 = - 3(2 - 9x)}}[/tex]

[tex] \text{Step \: 2 \: : Distribute \: - 3 \: through \: the \: parentheses}[/tex]

[tex]\hookrightarrow{ \sf{28x + 12 = - 6 + 27x}}[/tex]

[tex] \text{Step \: 3 \: : Move \: 27x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \hookrightarrow{ \sf{28x - 27x + 12 = - 6}}[/tex]

[tex] \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \hookrightarrow{ \sf{28x - 27x = - 6 - 12}}[/tex]

[tex] \text{step \: 5 \: : Collect \: like \: terms}[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \hookrightarrow{ \sf{x = - 6 - 12}}[/tex]

[tex] \text{step \: 6 \: : Calculate}[/tex]

[tex] \text{ \underline{ Remember!}} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]

[tex] \hookrightarrow{ \boxed{ \sf{x = - 18}}}[/tex]

Hope I helped!

Best wishes ! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}[/tex]

Let's solve !

[tex]:\implies\sf\:25^{\frac{3}{2}}[/tex]

[tex]:\implies\sf\:(\sqrt[2]{25})^3[/tex]

[tex]:\implies\sf\:5^3[/tex]

[tex]:\implies\boxed{\bf{\red{125}}}[/tex]

Hence, Oprion-D is correct !

Answer:

80%

Step-by-step explanation:

just look it up on google thyats what i did

Answer:

0

Step-by-step explanation:

-2 is multiply by x and 3 then from left the number are replace in right then like term are simplify.

Answer:

Um...

I know the answer to Part A, but not to Part B.

Step-by-step explanation:

The answer for Part A is 7n + 5. Hope this helps!

x = -3

y = 5

x = -2

y = 0

x = -1

y = -3

x = 0

y = -4

x = 1

y = -4

x = 2

y = 0

x = 3

y = 5

Answer:

A

Step-by-step explanation:

I honestly guessed,but i just took the test and got it right.

Answer:

-2x^3y^5

Step-by-step explanation:

Answer:

X= 3

Step-by-step explanation:

To solve this, you must first subtract 2 from 11, to get the 3x isolated.

You'll then have 3x=9, but the x is not alone, so you subtract the 3 from both sides. This leaves you with 3

the value of x will be 3 for the given function 3x+2=11.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function  3x+2=11

Simplifying the function:

=> 3x + 2 = 11

subtract by 2

=> 3x +2 - 2 = 11-2

=> 3x = 9

divide by 3 into both sides

=> x = 3

Therefore, the value of x will be 3 for the given function.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ3

Answer:

Step-by-step explanation:

[tex]120\% \: of\:75\\\\= \frac{120}{100} \times75\\\\\frac{120}{100} \times \frac{75}{1} \\\\= \frac{9000}{100} \\\\ =90[/tex]

Answer: Root 7 would equal 2.64575131106 and would go on forever.

Step-by-step explanation: It isn't one of the perfect squares. For example, the first 10 perfect square are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

Answer:

it is an irrational number and here is why

Step-by-step explanation:

So think of square root as it's answer is something that you you multiply its self by its self and you get that answer. Ex: 8 x 8 = 64 square root of 64 is 8. So in that case there is nothing you can exactly multiply by itself to get 7 so in that case it's a decimal or an irrational number.

HOPE THIS HELPS!

Answer:

[tex]\%\ increase = 75\%[/tex]

Step-by-step explanation:

Initial Height = 60 inches

Final Height = 105 inches

Required

Determine the percentage increase

Percentage increase is calculated as thus;

[tex]\%\ increase = \frac{Final\ Height - Initial\ Height}{Initial\ Height}[/tex]

Substitute values for the final and the initial height

[tex]\%\ increase = \frac{105 - 60}{60}[/tex]

[tex]\%\ increase = \frac{45}{60}[/tex]

[tex]\%\ increase = 0.75[/tex]

Convert to percentage

[tex]\%\ increase = 75\%[/tex]

The height of the tree increased by 75%.

Given that the tree was 60 inches tall, and later it was 105 inches tall, to determine what is the percentage increase to the nearest hundredth of the height of the tree, the following cross multiplication must be performed:

Therefore, the height of the tree increased by 75%.

Learn more in https://brainly.com/question/9897756

Answer:

q = (4 - 5 m)/(2 - m)

Step-by-step explanation:

Solve for q:

m = (2 q - 4)/(q - 5)

Hint: | Reverse the equality in m = (2 q - 4)/(q - 5) in order to isolate q to the left hand side.

m = (2 q - 4)/(q - 5) is equivalent to (2 q - 4)/(q - 5) = m:

(2 q - 4)/(q - 5) = m

Hint: | Multiply both sides by a polynomial with respect to q to clear fractions.

Multiply both sides by q - 5:

2 q - 4 = m (q - 5)

Hint: | Write the linear polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

2 q - 4 = m q - 5 m

Hint: | Isolate q to the left hand side.

Subtract m q - 4 from both sides:

q (2 - m) = 4 - 5 m

Hint: | Solve for q.

Divide both sides by 2 - m:

Answer: q = (4 - 5 m)/(2 - m)

First (Takeaway 4 from 46) Then (divide 6 and 2 and after THAT multipy it with 3) Finally only if needed (Multiply both answers to get the one you need)

Answer:

10

Step-by-step explanation:

Answer:

F'(x) = 2x eˣ¹⁴ − eˣ⁷

Step-by-step explanation:

You're close.  According to second fundamental theorem of calculus:

If F(x) = ∫ₐᵇ f(t) dt, then F'(x) = b' f(b) − a' f(a).

F(x) = ∫ₓˣ² eᵗ⁷ dt

F'(x) = (2x) e⁽ˣ²⁾⁷ − (1) e⁽ˣ⁾⁷

F'(x) = 2x eˣ¹⁴ − eˣ⁷

Answer:

The value of limit = [tex]\frac{13}{8}[/tex]

Step-by-step explanation:

Explanation:-

Given  [tex]\lim_{x \to 4} \frac{x^{2}+5 x-36 }{x^{2}-16 }[/tex]

      =  [tex]\lim_{x \to 4} \frac{x^{2}+9 x-4 x-36 }{(x-4)(x+4) }[/tex]

     = [tex]\lim_{x \to 4} \frac{(x(x-4)+9(x-4) }{(x-4)(x+4) }[/tex]

     =[tex]\lim_{x \to 4} \frac{((x-4)(x+9)}{(x-4)(x+4) }[/tex]

   = [tex]\frac{4+9}{4+4}[/tex]

  = [tex]\frac{13}{8}[/tex]

Hence the limit exists and The value of limit = [tex]\frac{13}{8}[/tex]

Answer:

70 and 14

Step-by-step explanation:

You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.