9x^2-6x+8=0 what is the fifth step in solving this equation

Answer:

He translated them the wrong way.

It should of gone up 2 and right 2 not down 2 and left 2.

The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)

Please mark brainliest would rly help.

Step-by-step explanation:

Hello!

Divide 528 and 264. It will give you 2.

Now, multiply 35 and 2.

Answer: 70

Hope this helps! ~Pooch ♥

ANSWER: [tex]\frac{2}{-5}[/tex]

EXPLANATION:

We can use the slope formula and input the x and y values to solve for the slope.

[tex]\text{Slope Formula}: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}=m[/tex]

[tex]\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m[/tex]

The slope of the line is [tex]\frac{2}{-5}[/tex]

The slope of the line that passes through the points (2, 5) and (7, 3) is -2/5.

To find the slope of the line passing through the points (2, 5) and (7, 3), we can use the formula for slope:

The slope of the line that passes through the points (2, 5) and (7, 3) can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

Slope (m) = (3 - 5) / (7 - 2) = -2/5

Therefore, the slope of the line is -2/5.

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Question:

what are your choices?

To determine how many tickets of each type were sold, two equations were formulated and the system was solved using the elimination method, resulting in 600 covered pavilion seats and 800 lawn seats sold.

To solve this problem we need to set up a system of equations based on the information provided. Let's define two variables: x for the number of covered pavilion seats sold, and y for the number of lawn seats sold. We know that together, a total of 1400 tickets were sold and the total receipts from these sales were $24,000. We can set up the following equations:

1) x + y = 1400 (total number of tickets sold)

2) 20x + 15y = 24,000 (total revenue from ticket sales)

To solve the system of equations, you can use either substitution or elimination method. Let's use the elimination method by multiplying the first equation by -15 and adding it to the second equation to eliminate y.

-15x - 15y = -21,000

20x + 15y = 24,000

Add the two equations:

5x = 3,000

Divide both sides by 5:

x = 600

Now we can substitute x back into the first equation to solve for y:

600 + y = 1400

y = 800

Therefore, 600 covered pavilion seats and 800 lawn seats were sold.

Answer:

[tex]2.6334 \cdot 10^{-5}[/tex]

Step-by-step explanation:

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

To multiply it , first we multiply the numbers.

46.2  times 5.7 is 263.34

Now we multiply the exponents. To multiply exponents we apply exponential property.

[tex]a^m \cdot a^n= a^{m+n}[/tex]

When the exponents with same base are in multiplication then we add the exponents

[tex]10^{-1} \cdot 10^{-6}=10^{-7}[/tex]

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

[tex]263.34 \cdot 10^{-7}[/tex]

Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left

[tex]2.6334 \cdot 10^2 \cdot 10^{-7}[/tex]

[tex]2.6334 \cdot 10^{-5}[/tex]

Answer:

Cathy has read 3/6 or 1/2 of her book.

Step-by-step explanation:

1/6+2/6=3/6 or 1/2

Answer:

61.60

Step-by-step explanation:

Answer:

The answer is $61.60

Step-by-step explanation

The wholesale price is 44$, but it will be marked up 40% which in decimal form is .40. You multiply that by 44 to get 17.6, and since its mark up you add that number to 44 to get $61.6

The width of the rectangle is 5.55 ft and the length is 19.425 ft. The perimeter of the rectangle is 25.95 ft and the area is 107.95875 sq ft.

To find the width of the rectangle, we can set up the equation

5/2 = 13.875 / width

Solving for width gives us width = 5.55 ft. Therefore, the length of the rectangle is 13.875 + 5.55 = 19.425 ft.

The perimeter of a rectangle is given by the formula 2(length + width). Substituting the given values, we get the perimeter to be 2(19.425 + 5.55) = 25.95 ft.

The area of the rectangle is given by the formula length * width. Substituting the given values, we get the area to be 19.425 * 5.55 = 107.95875 square feet.

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Answer:

[tex]P(x)=x^3-11x^2+43x-65[/tex]

Step-by-step explanation:

If the complex number [tex]3-2i[/tex] is a root of a cubic function, then the complex number [tex]3+2i[/tex] is a root too. Thus, the cubic function has three known roots [tex]5,\ 3-2i,\ 3+2i[/tex] and can be written as

[tex]P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.[/tex]

Answer:

q=135 degrees

p=45 degrees

Step-by-step explanation:

For q:

q is 135 degrees because alternate exterior angles are congruent when L1 is parallel to L2 intersected by L3.

For p:

p is 45 degrees because L2 is a straight line so it has a measurement of 180 degrees. So to find p you do 180 degrees-q.

Which is 180-135=45 degrees

Answer:

_______________________________________________________

Note that this multiplication problem has two (2) multiplicands; that is, two (2) numbers being multiplied by each other;  which are:  "56" and "213"

The "product" refers to the number obtained when multiplicands in a multiplication problem are multiplied together.

In this case, the product given is:  " 103 " ; which is smaller than one of the "multiplicands" in the problem — specifically, "213" !

This does not make sense; and this along tells us that the answer — "213" ; is incorrect.

________________________________________________

Furthermore, if we multiply the two (2) given multiplicands:

  56 * 213  ;  we get:  " 11,928 " ;  which is much greater than:  " 103 " .  

________________________________________________

Hope this answer is of help to you!

   Best wishes in your academic endeavors

            — and within the "Brainly" community!

________________________________________________

Answer:

5x-3 or x-3

Step-by-step explanation:

I don't know what are the choices, so I'll just factor the whole thing. Choose the ones that fit.

-3 + -15 = -18

-3 * -15 = 9*5

5x^2-15x-3x+9

5x(x-3)-3(x-3)

(5x-3)(x-3)

Answer:

5x - 3

Step-by-step explanation:

APEX

Answer:

4.45058959259........

And it still goes

The exact value of sin(17π/12) is -(√2 + √6)/4.

To find the exact value of sin(17π/12), we need to express 17π/12 as a sum or difference of angles for which we know the sine values. Since 17π/12 is not a standard angle, we'll use the angle addition formula.

17π/12 = (3π/4) + (2π/3)

Now, we'll use the sine addition formula:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

Here, A = 3π/4 and B = 2π/3:

sin(3π/4 + 2π/3) = sin(3π/4)cos(2π/3) + cos(3π/4)sin(2π/3)

Now, we need to find the sine and cosine values of 3π/4 and 2π/3:

sin(3π/4) = √2/2, cos(3π/4) = -√2/2

sin(2π/3) = √3/2, cos(2π/3) = -1/2

Plugging these values into the formula:

sin(17π/12) = (√2/2 * -1/2) + (-√2/2 * √3/2)

= -√2/4 - √6/4

= -(√2 + √6)/4

So, the exact value of sin(17π/12) is -(√2 + √6)/4.

Hey there!

Answer:

60 child tickets were sold

Step-by-step explanation:

Let no of children tickets sold that day be c and adult tickets be a

Then since total number of tickets sold is 148, we have

c+a = 148  ... i

Also given that admission fee is 6.00 for children and 9.70 for adults

So for c children tickets sold value= 6c and for adults it is 9.7a

total revenue = 6c+9.7a=1213.60 ... ii

We got two equations in two variables c and a

Let us solve this

a =148-c. substitute this in ii

6c+9.7(148-c) = 1213.60

Simplify the above to have

222 = 3.7c

Or c = 60

No of child tickets sold = 60

g(x) = f(x) + 3

Since you know f(x) = 3x - 2, you can plug in (3x - 2) for "f(x)" in the equation:

g(x) = f(x) + 3

g(x) = (3x - 2) + 3

g(x) = 3x - 2 + 3

g(x) = 3x + 1

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

The slope of the function represents the cost of each additional month of membership, while the y-intercept represents the initial cost of joining the gym.

The slope of the function C(m) = 50m + 79.50 represents the cost of each additional month of gym membership. In this case, the slope is 50, meaning that for every additional month of membership, the cost increases by $50.

The y-intercept of the function, which is 79.50, represents the initial cost of joining the gym. This can be considered as the one-time fee or the cost for 0 months of membership.

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Hello!

Answer:

249

Step-by-step explanation:

83

 3  x

___

249

Hope this helps! ~Pooch ♥

Answer:

(-2, 0)

Step-by-step explanation:

Use elimination: add the two systems. Because the left is equal to right, you are adding the same thing and it's legal.

-x+3y=2

+ (x+y=-2)

Add each term

-x+x + 3y+y = 2+ -2

4y=0

y=0

x+y=-2

x+0=-2

x=-2

Answer:

x=-2, y=0

Step-by-step explanation:

-x+3y=2

X+y=-2

We can add these two equations together to eliminate x

-x+3y=2

x+y=-2

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

4y = 0

Divide each side by 4

4y/4 = 0/4

y=0

Now we still need to find x

x+y = -2

Substitute x=0

0+y = -2

y= -2

Answer:

Toner = $45.00; ink = $25.50

Step-by-step explanation:

Let T = the cost of a toner cartridge and I = the cost of an ink cartridge

We have two conditions:

(1)                      T = I + 19.50

(2)           4T + 11I = 460.50     Substitute (1) into (2)

4(I + 19.50) + 11I = 460.50     Remove parentheses

 4I + 78.00 + 11I = 460.50     Combine like terms

      15 I + 78.00 = 460.50     Subtract 78.00 from each side

                    15I = 382.50      Divide each side by 15

(3)                  I = 25.50

=====

Substitute (3) into (1)

T = 25.50 + 19.50

T = 45.00

=====

Check:

(1)                         45.00 = 25.50 + 19.50

                           45.00 = 45.00

(2) 4×45.00 + 11×25.50 = 460.50

         180.00 + 280.50 = 460.50

                        460.50 = 460.50

Answer:

Probability of rolling an even number then rolling an odd number = 1/4

Step-by-step explanation:

When we roll a fair six-sided die twice,

The pair of combinations are

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(5,1),(6,2),(6,3),(6,4),(6,5),(6,6)

There are 36 possibilities

The odd numbers are 1,3 and 5

even numbers are 2,4 and 6

Possibilities of rolling an even number then rolling an odd number

(2,1),(2,3),(25)

(4,1),(4,3),(4,5)

(6,1),(6,3),(6,5)

There are 9 possibilities

Probability of rolling an even number then rolling an odd number = 9/36 = 1/4

Answer:

$33 336

Step-by-step explanation:

Increase = 30 000 × 0.112

Increase = $3336

New salary = 30 000 + 3336

New salary = $33 336

Answer:

D. log (x-2)

Step-by-step explanation:

We can see that in the graph of the function g(x), the graph is shifted toward the right.

We know that, to shift a graph to the right, we subtract that number of units inside the function.

For example if we are plotting a graph of F(x) and if we have to shift the function to the right by 2 units, we can write it as, [tex]F(x-2)[/tex].

Similarly, here the graph of log (x) is shifted 2 units to the right so we can write the function as,

[tex]log (x-2)[/tex] (we subtract inside the function).

Answer:

D. [tex]log(x-2)[/tex]

Step-by-step explanation:

We have been given function's [tex]f(x)=log(x)[/tex] graph and graph of function g(x). We are asked to choose the correct function formula for g(x).

We can see that our parent function f(x) is translated to right to get function g(x).  

The rule for translating a function to right by k units is:      

[tex]f(x)\rightarrow f(x-k)[/tex]

We can see that our parent function is shifted 2 units to right as our parent function crosses x-axis at x equals 1, while our new function crosses x-axis at x equals 3. So our new function g(x) will be:

[tex]g(x)=log(x-2)[/tex]

Therefore, the expression [tex]log(x-2)[/tex] is equal to g(x) and option D is the correct choice.

Answer:

c 61 units but it should be under a square root

Step-by-step explanation:

CA=6

CB=5

5^2+6^2=AB^2

61=AB^2

The Option C is partially correct , the answer must be under a square root as [tex]\;\sqrt {61} {\text{ units}}[/tex].

Further explanation:

The pythagorean theorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.

It can be mathematically expressed as,

[tex]{h^2} = {p^2} + {b^2}[/tex]  

Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.

Step by step explanation:

Step 1:

It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] it is established as right angle triangle.

First determine the perpendicular and the base of the triangle.

It can be seen that there are 5 boxes between the point [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]{\text{B and C}}[/tex].

Therefore, the perpendicular of the triangle [tex]AC[/tex] is [tex]{\text{6 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is  .

Step 2:

Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}A[/tex].

The distance between [tex]B{\text{ and }}A[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].

The length of the hypotenuse [tex]AB[/tex] can be calculated as,

[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2} &= {6^2} + {5^2}\\{h^2} &= 61\\h &= \sqrt {61}\\\end{aligned}[/tex]  

Therefore, the distance between [tex]B{\text{ and }}C[/tex] is [tex]\sqrt {61}[/tex] units.  

Thus, option C is partially correct , the answer must be under a square root as [tex]\sqrt {61}[/tex] units.

Learn more:  

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Pythagoras theorem.

Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum

ANSWER: SSS, SAS, ASA, AAS, or HL

EXPLANATION:

SAS: Three congruent sides on both triangles.

SAS: Two congruent sides and a congruent included angle on both triangles.

ASA: Two congruent angles and a congruent included side on both triangles.

AAS: Two congruent angles and a congruent side on both triangles.

HL: Two right triangles with one congruent leg and congruent hypotenuses.

Answer:

y = -3x+5  This has a negative slope

Step-by-step explanation:

The first step is to find the slope.  We can use the formula

slope = (y2-y1)/(x2-x1)

        = (-10--1)/(5-2)

       = (-10+1)/3

        = -9/3

       =-3

Next we will use the point slope form of the equation of a line

y-y1 = m(x-x1)

y--1 = -3(x-2)

y+1 = -3(x-2)

Distribute the -3

y+1 = -3x -3*(-2)

y+1 = -3x+6

Subtract 1 from each side

y+1-1 = -3x+6-1

y = -3x+5

This is in the slope intercept form of the equation.

My answer differs from the options because I have a negative slope

Answer: The answer would be 36

Step-by-step explanation:

9×4=36