Raelynn and Kiara are both getting their nails done today. Raelynn gets her nails done every 9 days. Kiara gets her nails done every 12 days. In how many days will they be at the nail salon on the same day again?

Answer:

The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

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☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4[/tex]

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

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☆Now all we need to do is plug in and we are done!

[tex]y = 4x - 8[/tex]

▪Happy To Help <3

Answer:

C. [tex]x < -3[/tex] or [tex]x > 1[/tex].

Step-by-step explanation:

Let [tex]f(x) = x^{3}+3\cdot x^{2}-9\cdot x +7[/tex], the first derivate of the function is:

[tex]f'(x) = 3\cdot x^{2}+6\cdot x -9[/tex] (1)

By the Quadratic Formula, we determine the roots of this polynomial:

[tex]x_{1} = 1[/tex], [tex]x_{2} = -3[/tex]

And the factorized form of the polynomial is:

[tex](x-1)\cdot (x+3) > 0[/tex]

By law of Signs, the polynomial is increasing when [tex]x-1 > 0[/tex] and [tex]x +3 > 0[/tex] or [tex]x-1 < 0[/tex] and [tex]x+3 < 0[/tex], which means that:

[tex]x < -3[/tex] or [tex]x > 1[/tex]

Therefore, the right answer is C.

Answer:

The correct option is an option (c).

Given:

The given function is,

[tex]f(x)=x^{3}+3x^{2}-9x+7[/tex]

Computation:

The function is increasing when [tex]f'(x)>0[/tex].

Now, differentiating the given function with respect to [tex]x[/tex] up to first order we get,

[tex]f'(x)=3x^{2}+3(2x)-9(1)+0\\f'(x)=3x^{2}+6x-9\\=3(x^{2}+2x-3)\\=3(x(x+3)-1(x+3))\\=3(x+3)(x-1)[/tex]

So, the sign function is,

 Therefore, [tex]f'(x)>0[/tex] when [tex]x\in (-\infty ,-3)\cup (1,\infty )[/tex]

So, [tex]f(x)[/tex] is increasing on [tex]x<-3[/tex] or [tex]x>1[/tex]

Hence, the correct option is an option (c).

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Answer:

a............ you are welcome

Answer:

5.06%

or

5.06329114%

Step-by-step explanation:

The increase if $4.

4/79 = 0.0506329114, which is 5.06%

Answer:

4 %

Step-by-step explanation:

100/24=25/6=4 1/6

Answer:

0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

v=<3,-1>

[tex]||v||=\sqrt{x^{2} +y^{2} } \\\sqrt{(3)^{2}+(-1)^{2} } \\\sqrt{9+1} =\sqrt{10} \\u=\frac{1}{||v||} *v\\u=\frac{1}{\sqrt{10} } *<3,-1>\\u=<\frac{3}{\sqrt{10} } ,-\frac{1}{\sqrt{10} } >\\[/tex]

Answer:

25

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

8x4=32, you have to distribute the 8 into the parentheses so you will have 8x2+8x2 which is 16+16=32

Step-by-step explanation:

(-8-9)+23

-17+23

6.........

The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

Here,

We have to simplify;  the sum of -8 and -9, increased by 23.

And, find an algebraic expression.

What is Algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Now,

The written expression is, the sum of -8 and -9, increased by 23.

It can be written as,

⇒ [(-8) + ( -9)] + 23

⇒ - 8 - 9 + 23

⇒ - 17 + 23

⇒ 6

Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

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Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

The given fraction in simplest form is 1/16.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2⁻⁴/4⁰.

Now, 2⁻⁴/4⁰ =2⁻⁴/4⁰

= 2⁻⁴/1

= 1/2⁴

= 1/16

Therefore, the given fraction in simplest form is 1/16.

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Answer:

5.7-18y=1

Step-by-step explanation:

52-9y=3

5.2-9y=-2

or,57.2-18y=1

Answer:

-18y = 46.8

Step-by-step explanation:

Adding Left hand side elements together as well as right hand side

Eq1 = equation 1

Eq2 = equation 2

LHS(left hand side of the equation)

RHS(right hand side of the equation)

LHS of Eq1 + LHS of Eq2 = RHS of Eq1 + RHS of Eq2

-52 -9y + 5.2 -9y = 3 - 2

=> -9y -9y - 52 + 5.2 = 1

=> -18y - 46.8 = 1

=> -18y - 46.8 = 0

=> -18y = 46.8

Given that,

The area of the rectangle, [tex]A=x^2-114[/tex]

Length of the rectangle, [tex]l=x+12\ m[/tex]

To find,

The width of the rectangle.

Solution,

The formula for the area of a rectangle is given by :

A = lb

b is width of the rectangle

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{x^2-114}{x+12}\\\\b=\dfrac{x^2-12^2}{x+12}\\\\b=\dfrac{(x-12)(x+12)}{(x+12)}\\\\=(x-12)\ m[/tex]

So, the width of the rectangle is (x-12) m.

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Step-by-step explanation:

Answer:

a= 98 b= 82 c= 98 is the answer .....

Answer:yes

Step-by-step explanation:

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

Answer: 39

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

5y + 10/5 = -13 (distribute 5)

5y + 2 = -13 (simplify fraction)

5y = -15 (subtract 2 from both sides)

y = = -3 (divide 5 from both sides)

Checked worked:

5 ([-3] +2/5)

-15 + 10/5

-15 + 2 = -13

y = -3

Answer:

7 ft

Step-by-step explanation:

16-9=7

Answer:

30 miles

Step-by-step explanation:

60 ÷ 20 = 3

10 × 3 = 30

Answer:

Step-by-step explanation:

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

Substituting the points (-3,3) and (-2,1), we get;

Thus, the slope of the line is

Equation of the line:

The equation of the line can be determined using the formula,

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

Thus, the equation of the line is

Hence, y − 1 = −2(x − 4) is the correct answer.

:)

Answer:

$115

Step-by-step explanation:

805 divide it by 7 you get 115 also got right guys trusted me ( >-< )

Answer:

yep! 115$ is correct! :)

Answer:

it should be c sorry if I get it wrong

Answer:

Because

Step-by-step explanation:

(+) × (-) = (-)

(-) × (+) = (-)