How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answer:

y=(x+2)²-3

Step-by-step explanation:

when y=x² shifted 3 units down

its eq. is y=x²-3

when it is also shifted 2 units left then its eq. is

y=(x+2)²-3

Answer:

a and b are similarity i think that's what your looking 4 idk

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.

Answer:

x = 27

Step-by-step explanation:

4(x−9)=4(9+1/3x).

Divide each side by 4

(x−9)=(9+1/3x)

Subtract 1/3 x from each side

x - 1/3x -9 = 9+1/3x -1/3x

2/3x -9 = 9

Add 9 to each side

2/3x -9+9 = 9+9

2/3x = 18

Multiply each side by 3/2

3/2 * 2/3x = 18*3/2

x = 27

Answer:

27

Step-by-step explanation:

4(x−9)=4(9+1/3x)

4x-36=36+(4/3)*x

(12/3)*x-36=36+(4/3)*x

(8/3)*x=72

8x=216

x=27

Answer:

The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.

DISTANCE FORMULA

The study of geometry in a graphical environment is called co-ordinate geometry.

In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.

Step-by-step explanation:

Answer:

Short answer: They are essentially the same thing.

The distance formula is derived from the Pythagorean Theorem

We have distance formula:

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

Pythagorean Theorem:

[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]

The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.

We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]

But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:

[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]

Answer:  y = 0x+3 or y = 3

The slope is 0 and the y intercept is 3. So m = 0 and b = 3.

Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.

This graphs out a horizontal line that passes through the two points (0,3) and (1,3).

Answer:

5a(c-2ab+6)

Step-by-step explanation:

5a is in all three, then factorise

Answer:

5a(−2ab+c+6)

Step-by-step explanation:

Factor 5ac−10a2b+30a

−10a2b+5ac+30a

=5a(−2ab+c+6)

Answer:

5a(−2ab+c+6)

Answer: Gym problem (fourth option)

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given.

For the first option the equation is:

384+2x=6x

Because the problem asks for a solution where both costs are equal.

For the second option the equation is :

384+2x = 6x

Because the problem asks for a solution where both amounts are equal.

For the third option the inequality is:

384+2x>6x

Because the problem asks for a solution where the first cost is more expensive than the second cost.

For the fourth option (gym problem) the inequality is:

384+2x< 6x

Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).

This option is the correct one.

Feel free to ask for more if needed or if you did not understand something.  

Step-by-step explanation:

We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).

Answer:

(-2 + -5x)(2 + -3x)

Simplifying

15x2 + -4x + -4

Reorder the terms:

-4 + -4x + 15x2

Factor a trinomial.

(-2 + -5x)(2 + -3x)

Final result:

(-2 + -5x)(2 + -3x)

Can i get Brainlest??? Plzzz :D

Answer:

true

Step-by-step explanation:

This is a true statement

To be a rectangle it must have 4 right angles and 2 pairs of parallel sides

A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles.    (Rhombuses with 90 degree angles are squares)

_________________________________

Yes,it is true.

Rectangle are just the special case of parallelogram where the angles are all 90 degree.All rectangles have 90 degree angles and with parallelogram that does not always have to be the case. Some parallelograms are squares,rhombus and many more.A parallelogram is a quadrilateral with 2 pairs of opposite,equal and parallel sides.

Hope it helps..

Good luck on your assignment

______________________________

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]-3x-8+6=7[/tex]

[tex]-3x-2=7[/tex]

[tex]-3x-2+2=7+2[/tex]

[tex]-3x=9[/tex]

[tex]$\frac{-3x}{3} =\frac{9}{3} $[/tex]

[tex]-x=3[/tex]

[tex]x=-3[/tex]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\[/tex]

Following are the graph attachment to this question:

The second function, that is [tex]g(x)= (\frac{2}{3})^x[/tex] is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

We want to compare the graphs of the two given functions. We will see that the graph of g(x) is the graph of f(x) reflected across the line y = x.

The given functions are:

f(x) = (3/2)*x

g(x) = (2/3)*x

Note that each point on the line f(x) is written as:

(x, (3/2)*x)

And each point on the line g(x) is written as:

(x, (2/3)*x)

Now, if we multiply both sides of the above point by (3/2) we will get:

((3/2)*x, x)

Now, remember that for a general point (x, y), if we apply reflection across the line y = x, we get.

(y, x)

So the order of the values changes, exactly as we can see for f(x) and g(x).

Then we can conclude that g(x) is obtained by reflection f(x) across the line y = x.

Then the graph of g(x) is the graph of f(x) reflected across the line y = x.

If you want to learn more, you can read:

https://brainly.com/question/14536884

Answer:

7x3 + 5x2 + 5

x2

= 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum =6

Product =5

Factors = 5 , 1

x² + 6x + 5 = x² + x + 5x + 5*1

                  = x(x + 1) + 5(x+1)

                 = (x+1) (x +5)

[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]

Answer:

A -1 6/8

B -1 2/8

C -0.5

D 1

E 1 5/8

Step-by-step explanation:

Answer:

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

 Step-by-step explanation:

Step(i):-

Given h(x) = - 16 x² + 48 x +6   ...(i)

Differentiating equation (i) with respective to 'x'

[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex]   ...(ii)

Equating Zero

- 3 2 x + 4 8 = 0

- 32 x = - 48

    x = 1.5

step(ii):-

The maximum height of the ball 'x' = 1.5

Again Differentiating equation (ii) with respective to 'x'

[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]

The maximum height 'x' = 1.5

h(x) = - 16 x² + 48 x +6  

h(1.5) = - 16 (1.5)² +4 8 (1.5) +6

         =   42

The maximum height at x = 1.5 is  = 42

Final answer:-

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.

If B is between A and B, then AB +BC = AC

Given that, HJ=4x+9

JK=3x+3

KH=33

According to the Segment Addition Postulate, we can say that

HJ+JK=KH

4x+9+3x+3=33

(4x+3x)+(9+3)=33

7x+12=33

7x=33-12=21

    =4(3)+9

HJ=12+9=21

    =3(3)+3

JK=9+3=12

The value of x=3, length of HJ=21 and JK=12 .

Learn more about Segment Addition Postulate here:

brainly.com/question/22093187

#SPJ2

Answer:

Wrote it in the explanation :)

Step-by-step explanation:

Expression One: c + 25% = price of gas in august

Expression Two: c + 0.25 = price of gas in august

Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to  convert it into a decimal.

Please tell me if you have any further questions...

Hope this helped!!

Answer:

C

Step-by-step explanation:

x-intercept occurs when y=0.

2x -3y= 8

When y=0,

2x -3(0)= 8

2x= 8

x= 8 ÷2

x= 4

Thus the coordinates is (4,0).

Answer:

The answer is 108.

Step-by-step explanation:

This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.

Answer:

x = 18

Step-by-step explanation:

This problem can be solved using concept of Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]

_________________________________________

Given in the problem

a = 24

b = x

h = x+12

applying Pythagoras theorem

[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]

for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Thus, value of x is 18.

The answer is f(x)=1/2x+25

Answer:

Segment EF = 16 units

Step-by-step explanation:

First we will figure out our equation:

Line FD is adjacent to angle a.

Line EF is opposite to angle a

and line ED is the hypotenuse.

Since we will being using Tangent, the hypotenuse is irrelevant.

Tan a° = [tex]\frac{opposite}{adjacent}[/tex]

Now substitute:

[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]

Multiply both sides by 12:

[tex](12)tan\frac{3}{4} =x[/tex]

Solve for tangent by using your calculator:

[tex]tan \frac{3}{4}= 1.333333333[/tex]

[tex](12)1.333333333= 16[/tex]

[tex]16 = x[/tex]

EF = 16 units.

Answer: the one above is correct

Step-by-step explanation:

Took the test!! :)

Answer:

The equation for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c ----1

y represents the depth of water

t represents the time

The depth of the water after 5 hours is 32 inches.

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47

Answer:

Since the first number after the decimal is lower than 5, you would need to round down.  So the answer would be 17(not 18).

Step-by-step explanation:

Answer:

a = -7

b = 0

c = 4

Step-by-step explanation:

Answer:

Look at the attachment

Answer: 2/8, 4/8, 4/4, 8,8

Step-by-step explanation:

They all have the denominator of 8.

Answer:

f(x) has a larger growth rate

f(x) is always greater than g(x)

Step-by-step explanation:

f(x) = 2/5 x

g(x) = -2x

the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive

therefore the correct true statements are:

f(x) has a larger growth rate, and f(x) is always greater than g(x)

options 1 and 3

Step-by-step explanation:

option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted