solve (−8x−12)+(9x+4)=

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

Standard form of a parabola:

Let's find the vertex of this parabola.

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

Simplify using PEMDAS.

Subtract 4 from both sides.

Now we have (h, k) and a of the vertex form.

In order to convert from vertex to standard form, simplify the equation by FOILing.

Distribute 3 inside the parentheses.

Combine like terms.

Therefore, we have the answer:

Vertex form:

Standard form:

Answer:

1.

Step-by-step explanation:

90+8x+12x=180

20x=90

x=4.5

Answer:

i think its 13/45

Step-by-step explanation:

9514 1404 393

Answer:

  2. chord theorem; t = 10.5

  3. chord theorem; x = 5

Step-by-step explanation:

For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.

2. 20t = 10·21

  t = 210/20 . . . . divide by 20

  t = 10.5 . . . . . . . simplify

__

3. 10(x +4) = 15(x +1)

  10x +40 = 15x +15 . . . . . eliminate parentheses

  25 = 5x . . . . . . . . . . . . . subtract 10x+15

  5 = x . . . . . . . divide by 5

Answer:

12 students

Step-by-step explanation:

You can just divide 60 by 5 and get the answer, or you could go the longer route and put an amount into each of the five groups until it comes up to 60, then you will have your answer of how many students are in each group.

Hope this helped mark as brainliest.

the answer willllll be 6 units

Answer:

x is equal to seven.

Step-by-step explanation:

To solve this you can move like terms to each side, then divide both sides by the coefficient of x:

4 + 6x = -3 + 7x

6x -7x = -3 - 4

-x = -7

x = 7

Answer:

the single decimal multiplier is 1.0058

Step-by-step explanation:

Let us have 100

Decreasing by 6% will be

100 - 0.06(100)

= 94

Increasing by 7%

= 94 + 0.07(94)

= 100.58

So

to get the single decimal multiplier,

we have 100.58/100 = 1.0058

Answer:

I think it is 14.1421356237. I needed you can round it down to 14.14.

Step-by-step explanation:

Scale factor of STUV to S'T'U'V

= Length of T'U' / Length of TU

= 6/12 = 0.5.

Answer:

Step-by-step explanation:

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = - 4x + 3    ⇒   m₁ = -4    ⇒    m₂ = -4

The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = -4

(2, -3)   ⇒   x₁ = 2,  y₁ = -3

point-slope form:

y - (-3) = -4(x - 2)

y + 3 = -4x + 8             {subtact 3 from both sides}

y = -4x + 5        ←    slope-intercept form

Answer:

23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[2 × (24 ÷ 3)] + 7

Step 2: Evaluate

Answer:

→ [2 × 24/3] + 7

Divide 24 by 3 we get 8 as the product:

→ [2 × 8] + 7

Now, multiply 8 by 2 we get product as 16 :

→ 16 + 7

Let's add the 16 and 7 and we get final answer as :

→ 23

Answer:

49 years old

Step-by-step explanation:

14 = 2/7

14 divided by 2 = 7

7 x 7 = 49

Answer:

49

Step-by-step explanation:

Answer:

70x

Step-by-step explanation:

8x8 = 64x then +6x = 70x

Answer:

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

Step-by-step explanation:

The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.

So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.

Answer:

Question mark stands for 2d

Step-by-step explanation:

Here, we want to get what the question marks stands for

As we can see, the left was factorized to give the right

So, we have that ;

4d^3 + 6de = 2d(2d^2 + 3e)

so the question mark stands for 2d

Answer:

[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]

Step-by-step explanation:

[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]

Answer:

30/6

Step-by-step explanation:

20+10=30

2*3=6

728282636381919191828273737363839038373637373

Answer:

16xpi

Step-by-step explanation:

To find the area of a circle the formula is pi r squared.

r represents radius, aka 4x.

4 times 4 yields 16.

Leaving you with 16xpi

Answer:

50.24

Step-by-step explanation:

A= πr^2

3.14 x 4^2 = 50.24

(4^2=16)

Answer:

x=4 and y=0

Step-by-step explanation:

Sub x-4 in for y:

2x+4(x-4)=8

2x+4x-16=8

6x=24

x=4

y=x-4

y=4-4

y=0

Y = 4

X = 0

Answer is 8

Answer:

Step-by-step explanation:

count all the full squares...  12

and add 1/2 a square for the angled one

12.5  :)  or 12  1/2

Answer: 12.5 sq units

Step-by-step explanation:

Make two triangles (big and small triangle) and one rectangle. ( kinda like what's in the pic)

Area of big triangle:

b = 3  h = 3

1/2 x 3 x 3 = 4.5 sq units

Area of small triangle:

b = 2  h = 2

1/2 x 2 x 2 = 2 sq units

Area of rectangle:

l = 3   w = 2

3 x 2 = 6 sq units

Area of the figure: A. of rect. + A. of s. tri. + A. b. tri.

6 + 2 + 4.5 = 12.5 sq  units

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

Answer:

Yuor answer is X

Step-by-step explanation:

Answer:

A) 7 is the greatest common factor of the expression.

B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]

Step-by-step explanation:

We are given the expression: [tex]14x + 28y + 21[/tex]

Part A: What is the greatest common factor of the expression?

We need to find the greatest common factor of the expression.

The expression is divisible by 7

So, 7 is the greatest common factor of the expression.

Part B: Factor the expression

We need to factor the expression: [tex]14x + 28y + 21[/tex]

Taking 7 common:

[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]

So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]

Answer:

Answer:

x=3

Step-by-step explanation:

7−3x=−x+1

Step 1: Simplify both sides of the equation.

7−3x=−x+1

7+−3x=−x+1

−3x+7=−x+1

Step 2: Add x to both sides.

−3x+7+x=−x+1+x

−2x+7=1

Step 3: Subtract 7 from both sides.

−2x+7−7=1−7

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Answer:

I would assume you would use PEMDAS? thats what I would use

Answer:

Solve the parenthesis

Step-by-step explanation:

In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!

Answer:

Step-by-step explanation:

[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]

There are no real zero in the equation.