Determine the interval on which this function is constant. (1 point)

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]

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:

-2*(3y).

Step-by-step explanation:

-2*(3y). −2⋅(3y) - 2 ⋅ ( 3 y ). Multiply 3 3 by −2 - 2 . −6y - 6 y. −2⋅(3y) - 2 ⋅ ( 3 y ) ...

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:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Step-by-step explanation:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

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.

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:

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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!

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:

see below

Step-by-step explanation:

The parallelogram on the left has an area of

A = bh

A = 7*4 = 28 ft^2

The rectangle on the right has an area of

A = bh

A = 8*15 = 120 cm^2

Step-by-step explanation:

For the parallelogram

Area of a parallelogram = b × h

where

b is the base

h is the height

From the question

b = 7 ft

h = 4 ft

So the area is

For the rectangle

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

l = 15 cm

w = 8 cm

So the area is

Hope this helps you

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

[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:

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

Step-by-step explanation:

you put the answer on the board

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%.

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Answer:

Holy bloop you gotta learn

Step-by-step explanation:

you dumb

go to school

and learn

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:

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

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:

;_(

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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:

m-10

Step-by-step explanation:

If it said M decreased by 10, it would be 10-m, but because it says 10 decreased by m, the answer is m-10

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:

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:

(-3,-1)

Step-by-step explanation:

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)