Plz solve number 8 correctly. Show your steps. I need this ASAP!!

Answer:

15/10 and 21/14

Step-by-step explanation:

Simplify:

9/5 and 19/10

Simplified; not proportional.

Simplify:

4/6 and 10/16

2/3 and 5/8

Simplified; not proportional.

Simplify:

25/35 and 20/24

5/7 and 5/6

Simplified; not proportional.

Simplify:

15/10 and 21/14

3/2 and 3/2

Simplified; proportional.

Answer:

The vertex is (0,0)

Step-by-step explanation:

To find the x coordinate of the vertex

x = -b/2a  where ax^2 +bx +c

a=1 b=0 c=0

x = -0/2(1) = 0

The y value is found by substituting into the equation

y = (0)^2 =0

The vertex is (0,0)

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

Answer:

option E, C

Step-by-step explanation:

From the graph we will find the equation of g(x).

g(x) is a parabola with vertex ( h, k) = ( 0, 9)

Standard equation of parabola is ,  y = a (x - h)² + k

                                                     y = a (x - 0)² + 9

                                                     y = ax² + 9 ----------  ( 1 )

Now we have to find a .

To find a we will take another point through which the parabola passes .

Let it be ( 3, 0).

Substitute ( 3 , 0 ) in  ( 1 ) =>  0 = a (3 )² + 9

                                     => - 9 = 9a

                                     => a = - 1

Substitute a = - 1 in ( 1 ) => y = -1 x² + 9

                                  => y = - x² + 9

Therefore , g(x) = -x² + 9

Now using the table we will find h(x)

 [tex]h(x) = 4^{x}[/tex]

So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]

Option A : both function increases on ( 0, ∞ ) - False

               [tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]

                                  [tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]

g(x) decreases on ( 0 , ∞)

             [tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]

                                [tex]= \infty[/tex]

h(x) increases on ( 0, ∞)

option B : g(x) increasing on (- ∞, 0) - False

      g(x) = -x² + 9

       g( -2 ) = - (-2)² + 9

                 = - 4 + 9 = 5

       g ( -5) = - ( -5)² + 9

                =  - 25 + 9 = - 14

   As the value of x moves towards - ∞ , g(x) moves towards - ∞

   Therefore g(x) decreases on  (- ∞, 0)

Option C: y intercept of g(x) is greater than h(x) - True

         y intercept of g(x) = ( 0 , 9 )

         y intercept of h(x)  = ( 0 , 1 )

Option D : h(x) is a linear function - False

Option E : g(2) < h(2) - True

        g(x) =  -x² + 9

        g(2) = -(2)² + 9 = - 4 + 9 = 5

        h(x) = 4ˣ          

        h(2) = 4² = 16      

Answer:

Your just now have finals ?

Step-by-step explanation:

Ay, good luck tho homie !

Answer:

Sergio will buy first

It will take 34 weeks for Sergio

and 45 weeks for Lia

Step-by-step explanation:

Given Info: Per week Sergio Saves $24

How:

divide $72 by 4 weeks to find how much Lia is earning per 1 week.

72/4= 18

So Lia is saving 18$ per week while Sergio saves $24 per week

24>18

Sergio will save more per week so he will get it first.

It will take 34 weeks for Sergio

and 45 weeks for Lia

Answer:

35

Step-by-step explanation:

Perimeter of LMK = 14 + 11 + 17

Perimeter of LMK = 42

Perimeter GHJ/ Perimeter LMK = 5/6

Perimeter GHJ / 42 = 5/ 6                      Cross Multiply

6*Perimeter GHJ = 42 * 5

6*Perimeter GHJ = 210                           Divide by 6

Perimeter GHJ = 210/6

Perimeter GHJ = 35

Answer:

y = 2*(x - 3)^2 - 2

Step-by-step explanation:

Remember that a quadratic equation of vertex (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if we know that the vertex is at (3, - 2)

we have:

y = a*(x - 3)^2 + (-2)

And we want the y-intercept to be (0, 16)

This means that, when we take x = 0, we must have y = 16

if we replace these in the above equation we get:

16 = a*(0 - 3)^2 - 2

now we can solve this for a

16 = a*(-3)^2 - 2

16 = a*9 - 2

16 + 2 = a*9

18 = a*9

18/9 = a

2 = a

Then the quadratic equation is:

y = 2*(x - 3)^2 - 2

Answer:

x = 9

Step-by-step explanation:

|x - 9| = 0

x = 9

|9 - 9| = 0

|0| = 0

0 = 0

Answer:

sorry

Step-by-step explanation:

hindi ko din alam

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

Answer:

4628

I hope it will help you all

Answer:it is the number above the 5

Step-by-step explanation:

Answer:

893

Step-by-step explanation:

To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.

Hope this helps.

[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]

The closest number is 893

Saludos ten lindo día uwu

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a

x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2

x = (-7 + [tex]\sqrt{81}[/tex] )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a

x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2

x = -7 - [tex]\sqrt{17}[/tex] / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

Answer:

[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]

[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex]               [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]

[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]

Answer:

Step-by-step explanation:

==========================================

Work Shown:

sin(A)*cot(A)

sin(A)*( cos(A)/sin(A) )

cos(A)

--------------

Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.

Answer:

cosA

Step-by-step explanation:

Using the identity

cotA = [tex]\frac{cosA}{sinA}[/tex] , then

sinA × cotA

= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )

= cosA

Answer:

The answer is A, that's the correct one

The question is incomplete. The complete question is :

A survey was done to determine the relationship between gender and subject preference. A total of  56 students were surveyed to determine if they liked math, English, social studies, or science as their  favorite subject. The results were then broken down based on whether the respondent was male or  female.

Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?

Solution :

A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables.  One of the category is represented by the rows while the other categories by a column.

Here, in this table it is given that the total surveyed = 56 students

From the table, we know that number of males who likes social studies = 8

Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :

[tex]$=\frac{8}{56}$[/tex]

[tex]$=\frac{1}{7}$[/tex]

=0.14

Answer:

[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]

  = [tex]\sqrt{3^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

Answer:

x = 10.6

Step-by-step explanation:

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(49) = 8/x

x = 8/sin(49)

x = 10.6

Answer:

In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.

Answer:Rh

Step-by-step explanation:mama

Answer:

(x - 2)^2 + (y + 2)^2 = 100

Step-by-step explanation:

We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.

Then the radius of this circle will be the distance between (2, - 2) and  (-4, 6)

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between (2, - 2) and  (-4, 6) is:

[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]

Then the radius of the circle is R = 10

and we know that the center is (2, -2)

the equation for this circle is then:

(x - 2)^2 + (y - (-2))^2 = 10^2

(x - 2)^2 + (y + 2)^2 = 100

Answer:

hello the function graph is turned 90 degree like clock way.

All the plotted graphs represent functions whose inverse is also a function.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function whose inverse is also a function.

A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a  function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.

Therefore, all the plotted graphs represent functions whose inverse is also a function.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls