Write the quadratic in standard form please!
-4x+6x^2=-4+3x^2

Answer:

hope these help........

Answer:

[tex]x = \frac{-3}{4}[/tex] or  [tex]x = \frac{3}{2}[/tex]

Step-by-step explanation:

[tex]8x^{2} - 4x = 2x +9[/tex]

Okay, let's put everything on one side.

[tex]8x^{2} -4x-2x-9=0[/tex]

As you can see we can subtract -4x from -2x now leaving us with -6x.

[tex]8x^{2} -6x-9=0[/tex]

Now there are multiple ways to solve a polynomial, but we can go with a way to factor them the easy way. We need to multiply the leading coefficient with the ending term because there is no common number we can factor out of these guys.

[tex]8(-9)=-72[/tex]

We multiplied 8 and -9 together which gave us -72. With this, we need to find two numbers that add to the middle term, -6, but will multiply to -72. This is going to be 6 and -12. Now we are going to replace the middle coefficient with those two numbers.

[tex]8x^{2} + 6x - 12x- 9= 0[/tex]

(Keep in mind the equation has not changed)

Now we are going to do something called factoring by grouping, with the first two terms, 8x^2 and 6x we take out the GCF (greatest common factor):

[tex]2x(4x+3)[/tex]

so let's do the same between the last two.

[tex]-3(4x+3)[/tex]

So when putting them together we have,

[tex]2x(4x+3)-3(4x+3)=0[/tex]

Now let's factor here, (4x+3) can be taken out and 2x as well as -3 can be put together.

[tex](4x+3) (2x-3)=0[/tex]

Then we set these factors to zero to get our x answer:

[tex]4x+3=0[/tex]

[tex]2x-3=0[/tex]

And we solve, which leaves us with:

[tex]x = \frac{-3}{4}[/tex] or  [tex]x = \frac{3}{2}[/tex]

Answer: area= 29

               Perimeter= 4

Step-by-step explanation:

Answer:

Percentage of boy students is 45 per cent.

The total number of students is 480.

Step-by-step explanation:

To find the percentage of boy students, just subtract 55% (the percentage of girl students) from 100%, then you'll get 45%.

To find the total number of students, just use algebraic equation, rearrange it, and solve for x.

The workings are shown in the picture attached. Hope this helps!

Answer:

total of students is 480

Step-by-step explanation

let t = total of students.

if 55% of the students in school are girls.

then 45% of the students in the school are boys.

if there are 216 boys in school.

[tex]45\% \times t = 216 \\ t = \frac{216}{45\%} \\ t = \frac{216}{ \frac{45}{100} } \\ t = \frac{216 \times 100}{45} \\ t = 480[/tex]

Answer:

RS = XY (since the two a triangles are similar, you have to match the sides up and then set the values equal to eachother to find the value of x)

3x +2 = 5x -3 (subtract 5x from both sides)

-2x +2 = -3 (subtract 2 from both sides)

-2x = -5 (divide both sides by -2 to isolate x)

x = 2.5 (take the value of x and plug it into the expression given for RS)

3(2.5) +2 (multiply)

7.5 +2 (add)

9.5 (this is the length of RS)

Step-by-step explanation:

I hope this helps :)

Answer:5/9

Step-by-step explanation:

4/9+1/9

add 1 to 4

5/9

Answer:

B; 4/d-6

Step-by-step explanation:

We want to perform a division here

Flipping the right hand side while changing the sign to multiplication, we have that;

(2d - 6)/ (d^2 + 2d -48) * (2d + 16)/d-3

= 2(d-3)/(d^2 + 2d - 48) * 2d + 16/d-3

= 2/(d^2 + 2d - 48) * 2d + 16/1

2/(d-6)(d + 8) * 2(d + 8)/1

= 2/d-6 * 2/1

= 4/d-6

Answer:

667.30

Step-by-step explanation:

Well we can right this equation as 800(.985)^x  it's an exponential function then we substitute x for 12 and get 667.30

Answer:

60(.3)= 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

[tex]\Large\boxed{\tt Answer:~Isosceles~Triangle;~x=25}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

Since this triangle has two congruent angles/sides, we know that it is an isosceles. We can tell by looking at the markings on the triangles: The curves on both angles A and C indicate that they are congruent, and the markings on lines AB and CB also tell us that they are congruent.

To solve for x, we set up our equation like this:

[tex]\tt 4x-20=2x+30[/tex]

Since we know that lines AB and CB are congruent, that means 4x - 20 is equal to 2x + 30.

To solve, we can first subtract 2x from both sides and add 20 to both sides.

[tex]\tt 4x-(2x) -20=2x-(2x)+30\\2x-20+(20)=30+(20)\\2x=50[/tex]

Then, we divide both sides by 2 to isolate x.

[tex]\tt \frac{2x}{2} \frac{50}{2} \\x=25[/tex]

We can check if our answer is correct by plugging in our value for x into both expressions and see if they equal the same thing.

[tex]\tt 4(25)-20=80\\2(25)+30=80\\Correct[/tex]

Answer:

114

Step-by-step explanation:

Answer:

[tex]x = 114[/tex]

the vertical angles is equal =

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need a picture of what you're talking about.

Here is the answer! Hope it helps! (C.)

Answer:

2x+7y+4

hope it helps.....

Answer:    2h- 8

Step-by-step explanation:

Answer:

2h-8

Step-by-step explanation:

Simplify

Distribute

2 ( ℎ − 4 )

2 ℎ − 8

Solution

2 ℎ − 8

Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Answer:

This week her gross wage is equal to $216.25

Step-by-step explanation:

From the question it self we can make the following equation.

Let  "W" be the gross wage for the week.

Let  "V" be the value of the goods she sells.

then.....

W = $140 + 0.05V

(Where $140 is the price she will be paid for just working and 0.05V is the commission she will get paid this week)

Now that we know what "v" equal to, we can easily find out her Gross Wage this week by inserting in the value of V. And so we get.......

W = $140 + 0.05V

W = $140 + 0.05 x 1525

W = $140 + 76.25

W = $216.25

Answer:

Step-by-step explanation:

rise/run = 4/7

since were coming from the origin this is easy

since the y is 4 we know the rise is 4

since the x is 7 we know the run is 7

y = 4/7x

hope this helps <3

Answer:

Résous l'équation suivante pour la variable d:20

Step-by-step explanation:

/

D-9=11

20-9=11

Answer:

Step-by-step explanation:

-5 BECAUSE -4.5 IS CLOSER TO 0

Answer:

since all sides are congruent the you could divide 180 by the because there are 180 degrees in a triangle

So the measure of angle R is 60 degrees

answer: the one that says 16+6m

Answer:

y=2x+10    

Step-by-step explanation:

1hr-12 dollars

2hrs-14 dollars

4hrs-18 dollars

and henceforth adding two

Answer:

60

Step-by-step explanation:

if they are similar:

4×5=20

so

12×5=60

Answer:6 + 12² = x

Hope it helps! Have a great day!

A numerical expression to represent the phrase the sum of 6 and the square of 12 is,  P = 6 + 12²

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given information,

We have to make numerical expression  of,

sum of 6 and the square of 12

Suppose expression value is P

Then, P = 6 + 12²

Therefore, The desired result is  P = 6 + 12²

To know more about Expressions check:

brainly.com/question/16804733

#SPJ2

Answer: the answer is $29.9

Step-by-step explanation:

No, she wrong it will be less than $20

Answer:

No

Step-by-step explanation:

I did the whole thing on paper because it gave me 21.80$

Answer:

$19.50

Step-by-step explanation:

Multiply $2.50 by 4, which will give you $10.00.

Then, add $9.50 and $10 together, which gives you. a total of.

$19.50

Answer:

Hi,  The answer is

Step-by-step explanation:

Well all you have to do is multiply 2.50 by 4=10 and add 9.50. And it all equals 19.50$.

I REALLY hope this helps you!  :)

Answer:

Slope = [tex]-\frac{1}{3}[/tex]

Step-by-step explanation: