2/5x + y =7 SOLVE FOR Y

Answer:

f(n + 3) = 3n + 13

Step-by-step explanation:

f(x)=3x+4 then f(n+3)=

f(n + 3) = 3(n + 3) + 4

f(n + 3) = 3n + 9 + 4

f(n + 3) = 3n + 13

I hope this helps!

The missing terms in the given factorized expression are:

3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

We have,

_ x²y + _ y² + 9 _ = 3x _ ( _ + 4y + _ )

We need to fill the boxes and make sure that both sides are equal.

We will remove the bracket on the right side.

i.e 3x _ _ + 12xy_ + 3x_ _

Now,

_ x²y + _ y² + 9 _ = 3x _ _ + 12xy_ + 3x_ _

We will make,

_ x²y  and 3x _ _ equal.

_ y²  and 12xy_ equal.

9 _  and + 3x_ _ equal.

So,

(3)x²y = 3x (x)(y)

(12x)y² = 12xy(y)

9 (xy) = 3x(y)(3)

Thus the missing terms in the given factorized expression are:

3x²y + 12xy² + 9xy = 3xy ( x + 4y + 3 )

3x²y + 12xy² + 9xy = 3x²y + 12xy² + 9xy

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Answer:EVALUATE

(x=3)(x=1) 4−2(x+3) 2(x+1) 3

Step-by-step explanation:

The 50% probability that a student chosen randomly from the class does not play a sport.

According to the statement

We have to find that the probability.

So, For this purpose, we know that the

Probability is that the branch of mathematics that studies the possible outcomes of given events along with the outcomes' relative likelihoods and distributions.

From the given information:

In a class of scholars, the subsequent data table summarizes what percentage students play an instrument or a sport.

Then

In total, there are 8 + 7 + 3 + 12 = 30 students.

And Of this total, 3 + 12 = 15 don't play a sport.

Then

Probability = 15/30

Probability = 0.5

Then

50% probability that a student chosen randomly from the class does not play a sport.

So, The 50% probability that a student chosen randomly from the class does not play a sport.

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Answer:

2.61625

Step-by-step explanation:

Answer:

-18 + 30 s - 72 t + 12 u

Step-by-step explanation:

Expand the following:

-6 (3 - 5 s + 12 t - 2 u)

-6 (3 - 5 s + 12 t - 2 u) = -6×3 - 6 (-5 s) - 6×12 t - 6 (-2 u):

-6×3 - 6 (-5) s - 6×12 t - 6 (-2) u

-6×3 = -18:

-18 - 6 (-5) s - 6×12 t - 6 (-2) u

-6 (-5) = 30:

-18 + 30 s - 6×12 t - 6 (-2) u

-6×12 = -72:

-18 + 30 s + -72 t - 6 (-2) u

-6 (-2) = 12:

Answer:  -18 + 30 s - 72 t + 12 u

by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.

We are given the total number of days as 21.

Now, we know that:

In 1 week, we have 7 days.

So, in 3 weeks = 7 × 3 = 21 days.

Also, 1 day has = 24 hours.

So, by using multiplication, we get that:

21 days = 24 × 21 hours

= 504 hours

Also,

1 hour = 60 minutes

504 hours will be calculated again by using multiplication.

504 hours = 504 × 60 = 30240 minutes

30240 hours = 1,814,400 seconds.

Therefore, by using the operation of multiplication, we get that 21 days is equal to 3 weeks, 504 hours, 30240 minutes and 1,814,400 seconds.

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Your question was incomplete. Please refer the content below:

21 days is equal to:

a) 3 weeks

b) 504 hours

c) 30240 minutes

d) 1,814,400 seconds

e) 1081404 seconds

Select all the correct options that apply.

Answer:  D (Interval)

Answer: 1040 sequences

Step-by-step explanation:

a die has 6 faces, 6x6x6x6 = 1296 possible sequences in whole
you have to get rid of the sequences that don't work, 4x4x4x4 = 256 (these will fail because you need at least one number that is bigger than 4)

1296 (whole)-256 (failed) = 1040 sequences that could work

The partial derivatives for this problem are given as follows:

To find the partial derivatives of a function, we apply the same rules that we apply for complete derivatives, just considering the variables for which we are not deriving the function as constants.

For this problem, the function is given as follows:

x² + 4y² + 7z² = 1.

The function for z is given by:

7z² = 1 - x² - 4y²

[tex]z = \sqrt{\frac{1 - x^2 - 4y^2}{7}}[/tex]

As a function of x, the derivative will be given by:

[tex]\frac{\partial z}{\partial x} = -\frac{x}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]

Because the derivative of the inside term as a function of x is of -2x, then we apply the derivative of the root and simplify -2 with 2.

For the derivative as a function of y, we follow the same procedure, with the lone difference being the the inside derivative is of -8y, then:

[tex]\frac{\partial z}{\partial y} = -\frac{4y}{\sqrt{\frac{1 - x^2 - 4y^2}{7}}}[/tex]

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The simplest form of the expression [tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex] is yx³.

The simplest form of a fraction is one with a reasonably prime denominator and numerator. It indicates that, except for 1, there is no common factor between the fraction's numerator (upper portion or top) and denominator (lower part or bottom).

A fraction is a number that has been expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. In a complex fraction, a fraction can be found in either the numerator or the denominator.

An expression is made up of a number, a variable, or a combination of a number, a variable, and operation symbols. Two expressions joined by an equal sign form an equation.

Consider the expression,

[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}[/tex]

[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=\frac{x^{\frac{1}{3} }}{y^{-1}}[/tex]

We know, x⁻¹ = 1/x

[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{\frac{1}{3} })^{9}[/tex]

[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(y^{9})(x^{\frac{1}{3}\times 9})[/tex]

[tex](\frac{x^{\frac{1}{3} }}{y^{\frac{-3}{3} }} )^{9}=(yx^{3})[/tex]

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Answer:

36792000

Step-by-step explanation:

you look up how many minutes in a year then multiply by 70

[tex] \frac{9}{3} - \frac{1}{6} = \frac{9 \times 2}{3 \times 2} - \frac{1}{6} = \frac{18}{6} - \frac{1}{6} \\ \\ \frac{18 - 1}{6} = \frac{17}{6} = 2 \frac{5}{6} [/tex]

Answer: 2 5/6

Step-by-step explanation:

9/3-1/6 is 2 5/6 what you do is cross multiply 9/3 and 1/6 to get 18/6 and 1/6 then you subtract across

Answer: 53

Given, expression:

Given values: a = -2, b = 5, c = -3

Substitute them inside the expression:

distribute

evaluate

simplify

According to the question, the given rational expression can be simplified which is shown below:

Rational expression = [tex](\frac{x^{2}+8x+7}{x^{2} -x-12)} /(\frac{x^{2} +2x-8}{x^{2} +13x+24} )[/tex]

To simplify the given rational expression which is also an polynomial expression by the method of factors rule. Performing factors on numerator as well as on denominator. And later divide them with each other.

Rational expression = [tex](\frac{(x+7)(x+1)}{(x-4)(x+3)}) /(\frac{(x+4)(x-2)}{x^{2} +13x+24} )[/tex]

The factors of the denominator term is not possible. Therefore, the given expression cannot be simplified.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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Answer:

C. SNL

Step-by-step explanation:

S is a point in the plane, N is a line in the plane, and L is a point on another line in the plane.

Answer: D XLJ

Step-by-step explanation:

Hope that helps

Gracias

Answer: $86.67

Step-by-step explanation:

34 x 7% OR 34 x .07 = 2.38

Skirt = $36.38

47 x 7% = 3.29 47+3.29 = 50.29

50.29+36.38=86.67

x = 9 is not an extraneous solution of the equation.

√x=√(x-8) + 2

Squaring both the sides of the equation, we get

(√x)² = (√(x-8)+2)²

x = (✓(x - 8))² + 2² + 2(✓(x - 8))(2)

x = x - 8 + 4 + 2(✓(x - 8))(2)

Subtracting x on both the sides of the equation, we get

- 4 + 2(✓(x - 8))(2) = 0

Adding 4 on both the sides of the equation, we get

4(✓(x - 8)) = 4

Dividing both sides of the equation by 4, we get

(✓(x - 8)) = 1

Squaring again on both the sides of the equation

x - 8 = 1

x = 9

Check for extraneous solution by putting the value of x = 9 in the original equation, we get

✓9 = ✓(9 - 8) + 2

✓9 = ✓1 + 2

3 = 1 + 2

3 = 3

⇒ LHS = RHS

∴ x = 9 is not an extraneous solution of the equation.

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Answer:

270

Step-by-step explanation:

With a 270 rotation you move 3 boxes

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

The given expression is

-4/7p+(-2/7p)+1/7

In the given expression there is a variable p and a constant.

We have to add the terms which having p.

(-4/7+(-2/7))p+1/7

=(-4/7-2/7)p+1/7

=-6/7p+1/7

=(-6p+1)/7

Therefore (-6p+1)/7 is an equivalent fraction of -4/7p+(-2/7p)+1/7.

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$30000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (30000)(0.05)(5) \implies I = 7500[/tex]

Answer:

(2, 2) or (2, 3)

Step-by-step explanation:

two of the same number in x place means it is not a function. elimination on of these will make it a function.

Answer:

0.00762

Step-by-step explanation:

Answer:

y=2880x+26500

Step-by-step explanation:

Basically, this question wants you to write an equation where you can figure out how much money Tony has at any year.

1. They already told us how much the raise was: $2880

2. He started off with $26,500, so we know we have to add that at the beginning. That is our y-intercept.

3. A function is written as y=mx+b. Y is what you are solving for. M is the constant change (x doesn't mean anything, it just tells us which number is m). B is the y-intercept, which is 26,500 in this case. Its what you are starting with. If he had no money, there would be nothing to start with. There would be no y-intercept.

4. Because he gets the same raise every year of 2880, that is constant. It does not change, but it increases constantly.

5. So, y=2880x+26500 is your answer.

Answer:

3

Step-by-step explanation:

5-(x-2)2 for x= -1

it going to be

5-(-1-2)2

5- 1 x 2

5 - 2

=3

Answer:

- 4

Step-by-step explanation:

substitute x = - 1 into the expression

5 - (x - 2)²

= 5 - (- 1 - 2)²

= 5 - (- 3)²

= 5 - 9

= - 4

Work Shown:

five hundredths = 5/100 = 0.05

Answer:

50

Step-by-step explanation:

Answer

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The length is 50. You solve it by making an equation out of the information given. the rectangle's length(l) is 3 times its width(w) and its perimeter(p) is 128. So in order to solve this you need an equation to find the perimeter, isolating w to find l. It'll look something like this:

(3w+8)+(3w+8)+w+w=128

?You combine all like terms turning it into:

2(4w+8)=128

8w+16=128

8w=112

w=14

you use the value of w to solve for l as follows:

l=w*3+8

l=14*3+8

l=42+8

l=50

The inverse function returns the original value for which the output of a function was given.

The inverse the function y = 2x + 1 is [tex]y^{-1[/tex] = x + 1/ 2.

Every logarithmic function has an exponential inverse, and vice versa.

An exponential function is a mathematical function with the formula f(x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero.

The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

Let the equation be y = 2x + 1

y = 2x + 1

simplifying the equation, we get

⇒ 2x = y+1

⇒ x = y+1/ 2

Therefore, the inverse is [tex]y^{-1[/tex] = x+1/ 2

Let the composition function be

[y ₀ [tex]y^{-1[/tex]] (x) = y (x+1/2)

simplifying the above equation

[y ₀ [tex]y^{-1[/tex]] (x) = 2 (x+1/2)-1

[y ₀ [tex]y^{-1[/tex]] (x) = x

The inverse of y is the image of y in the line y = x.

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Answer:

Step-by-step explanation: