Please help and explain

Answer:

f-1(x)=2x over x-1

Step-by-step explanation:

The linear equation that describes the problem 72x + 150y = 5400.

A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.

The graph of a linear equation is  a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line.  it is called a 'linear equation.'

Tennis Club sells monthly memberships for  $72.

Tennis rackets for $150.

The tennis club  sales goal of $5400 per month.

The linear equation.

72x + 150y = 5400.

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After Multiplying 3 with the eq. (i) we will add this to eq. (ii)

[tex] \sf 18x - 6y + 3z = - 2[/tex]

[tex] \sf2x + 3y - 3z = 11[/tex]

[tex]⇒ \sf20x - 3y = 9 \: \: .........(iv)[/tex]

After Multiplying 2 with the eq. (iv) we will add this to eq. (iii)

[tex] \sf \: x + 6y = 31[/tex]

[tex] \sf40x - 6y = 18[/tex]

[tex] \sf \: 41x = 49[/tex]

[tex]⇒ \sf \: x = \frac{49}{41} [/tex]

After putting the value of x in the eq. (iii)

[tex] \sf \frac{49}{41} + 6y = 31[/tex]

[tex]⇒ \sf6y = 31 - \frac{49}{41} [/tex]

[tex] \sf \: ⇒ 6y = \frac{1271 - 49 }{41} [/tex]

[tex]⇒ \sf6y = \frac{1222}{41} [/tex]

[tex]⇒ \sf \: y = \frac{1222}{41 \times 6} [/tex]

[tex]⇒ \sf \: y = \frac{611}{123} [/tex]

After putting the value of x and y into eq. (i)

[tex] \sf6 \times \frac{49}{41} - 2 \times \frac{611}{123} + z = -2 [/tex]

[tex]⇒ \sf\frac{294}{41} - \frac{1222}{123} + 2 = - z[/tex]

[tex]⇒ \sf \frac{882 - 1222 + 246}{123} = - z[/tex]

[tex]⇒ \sf - \frac{94}{123} = - z[/tex]

[tex]⇒ \sf \: z = \frac{94}{123} [/tex]

Hence,

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41}

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41} [/tex]

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}[/tex]

[tex] \bf• \: The \: value \: of \: z \: = \frac{94}{123}[/tex]

Answer:

m<A + m<B + m<C = 180

53+90+m<C=180

m<C=180-143

m<C=37

Answer:

Step-by-step explanation:

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

The factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).

The equation is: (X+5)²+3x+15

Then,(X+5)²+3x+15

Factors are: x(x+20)(x+2)

Therefore, the factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).

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Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

Answer:

A= w . h = 10

Step-by-step explanation:

Look at attached graphic.

It's a rectangle.

width (in x axe) = length between 3 to -2 = 5

height (in y axe) = length between 1 to -1 = 2

Answer:

33

Step-by-step explanation:

Landon is building new book shelves for his bookstore's new mystery section

Each of the shelf can hold 37 books

There are 1221 mystery books

Therefore the number of shelves that Landon will need to build can be calculated as follows

= 1221/37

= 33

Hence Landon needs to build 33 shelves

Answer:

132

Step-by-step explanation:

check it out . it seems to be the right answer. .

Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace

Step-by-step explanation:

To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;

An integer must be an whole number including Zero, which means no fractions

Similarly, integer numbers could be either positive or negative in value.

Hence, from the set represented above ;

(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.

Answer:B

Step-by-step explanation:

Answer: x=2 and y=5

Step-by-step explanation:

Substitute the Y= equation for the Y in the second equation.

ie: x+3(2x+1)=17

Now all of your variables are the same and you can solve for X. You should get X=2.

Then plug 2 in for X in the first equation

ie: y=2(2)+1

Then solve for Y. You should get 5

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10)

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

Answer:

Y=120°

Step-by-step explanation:

as you would add 33° and 87° together which gives you 120

Answer:

i will see if i can figure it out

gl dude

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok ill try to find it and answer it

Answer:

what bedroom...............?

Answer:

[tex]95ft^2[/tex]

Step-by-step explanation:

We need to multiply 10 feet by 9 feet 6 inches.

6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.

Multiply 10 by 9.5.

(10)(9.5) = 95

Therefore the answer is 95ft squared.

Hope this helps!!

- Kay :)

Answer:

y=200+50x

Step-by-step explanation:

Answer:

3 : 8

Step-by-step explanation:

→ Find the sum of the shapes

10 + 6 = 16

→ Relate the triangles : total shapes

6 : 16

→ Divide by 2 on both sides

3 : 8

Answer:

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)

Answer:

1.83 x 108 is about 3 times smaller

Step-by-step explanation:

1.83 x 108 = 197.64

6.1 x 105 = 640.5

640.5/197.64 = 3.24

Answer:

a₇ = [tex]\frac{4096}{3125}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 4 ÷ 5 = [tex]\frac{4}{5}[/tex]

r = [tex]\frac{16}{5}[/tex] ÷ 4 = [tex]\frac{4}{5}[/tex]

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = [tex]\frac{4}{5}[/tex] , thus

a₇ = 5 × [tex](\frac{4}{5}) ^{6}[/tex] = 5 × [tex]\frac{4096}{15625}[/tex] = [tex]\frac{4096}{3125}[/tex]

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

f(0) =  ( f(k) +f(-k) ) / 2

f(0) = (16 - 4) / 2

f(0) = 12 / 2

f(0) = 6  → ANSWER

*Remember that f(0) = m(0) + n = n

If we have f(x) = mx + n, then:

f(k)= mk + n     and       f(-k)= -mk + n

If we add them:

  f(k) + f(-k)

= mk + n -mk + n

= 2n

= 2f(0)

So we conclude that:

f(0) = [f(k) + f(-k)] / 2

Answer: Checkings, Retirement, Savings

Answer:

The answer is choices Only A

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

it no solution

No solution is parallel to each other.

solution crosses each other.

infinite is only one line.