Answer the following questions.

(a) 15% of 80 is what number?

(b) is 39 % 65 of what?

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}[/tex]

Answer:

100 feet long

Step-by-step explanation:

Answer:

length of second rectangle is

100 feet

Answer:

A mixture is a combination of two or more kinds of matter (in our problem, wood, iron, and salt) which are physically mixed but not chemically combined. The sum of each of the matter that makes up the mixture is just the mass of the mixture

Mass wood sharing=10.5g

Mass iron filings=150g

Mass salt=18.5g

Step-by-step explanation:

HOPE IT HELPS

The function [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex] has a vertex at (2, -9).

The quadratic function can be represented by a quadratic equation in the Standard form: [tex]ax^2+bx+c[/tex] where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero ([tex]a\neq 0[/tex]) and the degree of the function must be equal to 2.

For solving this question, you should find the vertex of quadratic equation (h,k). Where, [tex]h=-\frac{b}{2a}[/tex] . On the other hand, the value of the k-coordinate will be found when you replace the value of h in the equation of your question.

     1.  [tex]f(x)=-(x-3)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-(x^2-6x+9)\\ \\ f(x)=-x^2+6x-9[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-9\\ \\ -(3)^2+6*3-9=-9+18-9=-18+18=0[/tex]

      The vertex of quadratic equation is (3,0). Incorrect Option.

     2.  [tex]f(x)=(x+8)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=x^2+16x+64[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{16}{2*1} =-\frac{16}{2}=-8[/tex]

        Find k, replacing x for the value of h

         [tex]x^2+16x+64\\ \\ (-8)^2+16*(-8)+64=64-128+64=128-128=0[/tex]

  The vertex of quadratic equation is (-8,0). Incorrect Option.

   3.  [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=(x^2+x-5x-5)\\ \\ f(x)=(x^2-4x-5)[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{-4}{2*1} =-\frac{-4}{2}=-(-2)=2[/tex]

        Find k, replacing x for the value of h

         [tex]x^2-4x-5\\ \\ 2^2-4*2-5=4-8-5=-4-5=-9[/tex]

   The vertex of quadratic equation is (2,-9). Correct Option.

   4.  [tex]f(x)=-\left(x-1\right)\left(x-5\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-\left(x-1\right)\left(x-5\right)\\ \\ f(x)=-(x^2-5x-x+5)\\ \\ f(x)=-(x^2-6x+5)\\ \\ f(x)=-x^2+6x-5[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-5\\ \\ -(3)^2+6*3-5=-9+18-5=18-14=4[/tex]

The vertex of quadratic equation is (3,4). Incorrect Option.

Learn more about the vertex of the quadratic function here:

https://brainly.com/question/26203210

Answer:

f(x)=-3/2x+3

Step-by-step explanation:

y intercept is 3, slope is -3/2

f(x)=-3/2x+3

Take 2 points

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-3=-3/2x[/tex]

[tex]\\ \rm\Rrightarrow y=-3/2x+3[/tex]

Answer:

The parametric hypothesis tests that we introduced in Chapter 5 were all based upon the means of the sample and population.

Answer: Her sales tax rate is  6%.

Step-by-step explanation: Your welcome Mark Me Brainliest.


~"Gamer"~

Answer: None of these lines

Step-by-step explanation: None of these lines, because there is no way to fold it, giving you a symmetrical object.

Answer:

[tex]\huge\boxed{\sf \frac{1}{12} \ in.}[/tex]

Step-by-step explanation:

Length of green caterpillar = 3/4 in.

Length of orange caterpillar = 2/3 in.

Solution:

[tex]\displaystyle = \frac{3}{4} - \frac{2}{3} \\\\LCM = 4 \times \ 3 = 12\\\\= \frac{(3 \times 3 ) - (2 \times 4)}{12} \\\\= \frac{9-8}{12} \\\\= \frac{1}{12} \ in.\\\\\rule[225]{225}{2}[/tex]

Answer:

7*(5)^0,5

:D hope it helps

Edit: I misread the question

Answer:

392 inches sq.

Step-by-step explanation:

To find the surface area, find the area of all side first and then add them together at the end. Area = (length)(width)

The problem gives you the length, width, and height of the prism which is all you need to find the dimensions of each side.

The area of the side facing us would be (9)(14)=126 in. sq. There's two of these sides, one is just hidden. So we would do (126)(2)=252 in sq to get the total area of these two sides.

Moving on to the side on the side, we would do (3)(9)=27, then (27)(2)= 54 in sq.

The side on top would be (14)(3)=42 and then (42)(2)= 84 in sq.

Now, for the final surface area we would just add these all together! 252+54+84=392, so the surface area would be 392 in sq.

If you have any questions you can ask!

Answer:

12.5 oz

Step-by-step explanation:

150 oz / 12 = 12.5 oz

Answer:

a

Step-by-step explanation:

(19.5-17)/ 19.5 = .12820

.12820*100= 12.82%

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

Answer: I'm really sorry its not clear enough for me to answer

Step-by-step explanation:

Answer:

$2.40

Step-by-step explanation:

Let x be the number of Costless vitamins and let y be the number of Savemore vitamins. Since we are trying to minimize cost, our objective function represents the cost of buying both Costless and Savemore vitamins. This function is defined by

C(x,y)=0.05x+0.07y

The first constraint is that Jessica needs 60 units of vitamin A and we know that Costless vitamins have 3 units of vitamin A and the Savemore vitamin has 1 unit of Vitamin A. This translates into the following inequality.

3x+y≥60

The second constraint is that Jessica needs at least 40 units of vitamin B and we know that Costless and Savemore vitamins each have 1 unit of vitamin B. This translates into the following inequality.

x+y≥40

The third constraint is that Jessica needs at least 140 units of vitamin C and we know that the Costless vitamin has 2 units of vitamin C and Savemore vitamins has 5 units of vitamin C. This translates into the following inequality.

2x+5y≥140

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=0.05x+0.07y

Subject to: 3x+y≥60

x+y≥40

2x+5y≥140

x≥0

y≥0

The corner points are:

(0,60),(70,0),(10,30),(20,20)

To minimize cost, we will substitute these points in the objective function to see which point gives us the lowest number. The results are listed in the table below.

The point (20,20) gives lowest cost: $2.40 .

Answer:

5 pencils will cost €0.7

Step-by-step explanation:

     We can set up a proportion to solve. We will have the cost on the top and the number of pencils on the bottom. I will have 50 pencils on the left, and 5 pencils on the right.

[tex]\frac{7}{50}=\frac{x}{5}[/tex]

     Now we will cross multiply.

7 * 5 = 50 * x

35 = 50x

     Divide both sides of the equation by 50.

0.7 = x

x = 0.7

     5 pencils will cost €0.7

Answer:

0.72

Step-by-step explanation:

first you take 1.60 and find 10 percent of it once you find that you times it by 4.5.

Answer:

$6.48

Step-by-step explanation:

10 = 0.16

1.60-0.16=1.44

1.44x4=5.76

1.44/2=0.72

5.76+0.72=6.48

Answer:

12 minutes per each song.

Step-by-step explanation:

If they want to play 5 songs in a duration of 60 minutes, we would have to divide the total amount of minutes by how many songs they have to play.

Total Duration / Total Songs = Duration Per Song

60 / 5 = 12

Answer: Each song lasts 720 seconds, or 12 minutes each song.

Step-by-step explanation:

60 times 60 = 3600 sec.

3600 sec. divided by 5 equals 720

Each song lasts 720 seconds, or 12 minutes each song.

Answer:

[x < 3]

Step-by-step explanation:

-2x > -6

To solve inequalities, you need to get x alone.

Simply, divide both sides by -2,

-2x > -6

x > 3

When we divide a number by a negative during solving, we have to flip the inequality sign, therefore:

[x < 3]

Answer:

x<3

Step-by-step explanation:

Change signs on both sides of an inequality:

2x<6

x<3

Solution:

Note that:

Factorize the perimeter.

Find the length of the patio.

The length of the square patio is 4x + 3 ft.

Answer:

image please

Step-by-step explanation:

Answer:

let's see...

we have total possible outcomes.. = 90 ( from 1 to 90)

Desiree outcomes..= 5 ( 17,34,51,68,85)

and therefore.. the probability is 5/90 = 1/18.

here you go.. that should be correct I hope.

Answer:{x,y}={-1,-4}

Step-by-step explanation:

 [2]    8x = 4y + 8

 [2]    x = y/2 + 1

// Plug this in for variable  x  in equation [1]

  [1]    10•(y /2+1) - 9y = 26

  [1]     - 4y = 16

// Solve equation [1] for the variable  y

  [1]    4y = - 16

  [1]    y = - 4

// By now we know this much :

   x = y/2+1

   y = -4

// Use the  y  value to solve for  x

   x = (/2)(-4)+1 = -1

Answer: C

Step-by-step explanation:

It is C because the shape has two sets of parallel lines

Answer:

It is A because rational numbers and rational expressions are closed under multiplication.

Step-by-step explanation:

Hope this helps! Please mark brainliest :)

Answer:

3:10

Step-by-step explanation:

i did it on paper and took a test on ratios a while ago and i got this answer have a good day and i hope you get a 100 :)

After simplifying, your final answer is 3/2. Check the picture above for the work.

m∠4= 2x°

m∠5 = (x+9)°

case one: If both lie on the same plane then,

m∠4+ m∠5 = 180°

2x+x +9° = 180°

3x+9° = 180°

3x=171°

x= 171°/3

x= 57°

so,

m∠4 = 57° x 2° = 114°

m∠5= 57°+9° =66°

case two : If the angles are on opposite side of each other then,

m∠4=m∠5

2x= x+9°

2x-x=9°

x=9°

so,

m∠4m= 2x9 = 18°

∠5= 9+9= 18°

1.) m∠4 = 2x°

[tex]→m∠4+ m∠5 = 180°[/tex]

[tex]→2x+x +9° = 180°[/tex]

[tex]→3x+9° = 180°[/tex]

[tex]→3x=171°[/tex]

[tex]→x= \frac{171°}{3}[/tex]

[tex]→x= 57°[/tex]

So,

[tex]m∠4 = 57° × 2° = 114°[/tex]

[tex]m∠5= 57°+9° =66°[/tex]

2.) m∠5 = (x+9)°

[tex]→m∠4=m∠5[/tex]

[tex]→2x= x+9°[/tex]

[tex]→2x-x=9°[/tex]

[tex]→x=9°[/tex]

So,

[tex]m∠4m= 2×9 = 18°[/tex]

[tex]∠5= 9+9= 18°[/tex]