f(x) = x^2+ 2x-5
g(x) = 3x^2-4x+1

What is f(x) - g(x)?

A) [tex]-2x^2-2x-4[/tex]

B) [tex]-2x^2+6x-6[/tex]

C) [tex]4x^2-2x-4[/tex]

D) [tex]4x^2+6x-6[/tex]

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

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:

30/6

Step-by-step explanation:

20+10=30

2*3=6

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]66.92\:\mathrm{m}[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex] where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:

[tex]15\cdot w=276.9,\\w=\frac{276.9}{15},\\w=18.46\:\mathrm{m}[/tex].

The perimeter of a rectangle is given by [tex]p=2w+2l[/tex]. Therefore, the perimeter of the rectangle is:

[tex]2(15)+2(18.46)=\fbox{$66.92\:\mathrm{m}$}[/tex].

Answer:

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

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:

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:

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:

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:

+ 5°

Step-by-step explanation:

Given,

Good morning temperature = -15°

Raise in temperature = 20°

Afternoon temperature = -15° + 20°

           = + 5°

Hence, temperature in after noon is equal to + 5°.

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:

[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:

Step-by-step explanation:

2y=10x-3( i arranged it to make it easier)

y=(10x-3) divided by 2

y=5x-1.5

they are parallel because they have the same gradient/slope number.

To solve this, you need to plug in the numbers for h.

-4(-12) ≥ 8       48 ≥ 8  yes

-4(-7) ≥ 8         28 ≥ 8  yes

-4(-5) ≥ 8        20 ≥ 8  yes

-4(-3) ≥ 8        12 ≥ 8  yes

-4(-2) ≥ 8         8 ≥ 8  yes

-4(-1) ≥ 8         4 ≥ 8  no

-4(1) ≥ 8          -4 ≥ 8  no

-4(3) ≥ 8         -12 ≥ 8 no

-4(8) ≥ 8         -32 ≥ 8  no

Hope this helped!

Answer:

1.

Step-by-step explanation:

90+8x+12x=180

20x=90

x=4.5

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:

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

728282636381919191828273737363839038373637373

Answer:

i think its 13/45

Step-by-step explanation:

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:

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:

1/3

Step-by-step explanation:

When you divide 1 by 3, you get .3 repeating.

Answer:

Im pretty sure the answer is y=375x+73

Im not really sure

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:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01