( 10 - 2n ) - ( 5n - 8)

9514 1404 393

Answer:

  y = (1/4)x^2 -x -4

Step-by-step explanation:

When you are given a focus and a vertex, the equation of a parabola can be written as ...

  y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p

Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...

  y = (1/4)(x -2)² -5

Expanding this equation, we get ...

  y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5

Then the standard form equation is ...

  y = (1/4)x² -x -4

_____

* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV

Answer:

10/16

Step-by-step explanation:

Find the common factor between both

5/8 = 10/16

10/16 > 3/16

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 - 8b + 7b - 10 combine like(same) terms

3. 4 - 1b - 10 same as 2.

4. -1b - 6

Answer:

A the first one

Answer:

D

Step-by-step explanation:

Number of days in school =  180-7 days missed = 173

Percent = Part/Whole x 100%

Percent = 173/180 x 100%

Percent = 96%

Answer:

8

Step-by-step explanation:

z/4 - 11 = -9

z/4 = 2

z = 8

Answer:

25% chance

Step-by-step explanation:

Question:

Brianna solved a two-step equation, but she made a mistake along the way.

[tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

Line 2 : [tex]0.1x = -1.3[/tex]

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

Line 4: [tex]x = -1.4[/tex]

Answer:

On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.

Step-by-step explanation:

Required

Where did she make a mistake?

To do this, we simply analyse her workings one step at a time

Equation: [tex]0.1x + 3 = 1.7[/tex]

Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]

This is correct because she subtracted 0.3 from both sides

Line 2 : [tex]0.1x = -1.3[/tex]

This is also correct because she performed the arithmetic correctly

Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]

This is incorrect.

Division by 0.1 is expected not subtraction

Answer:

It's C

Step-by-step explanation:

Answer:

[tex]\frac{n^{10} }{27m^{5} }[/tex]

Step-by-step explanation:

Answer:

a.) they have the same slope

b.) they have different y-intersepts

c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.

Answer:

I think A and B as they both have 27- degree angles

Step-by-step explanation:

I MAY BE WRONG SORRY

Answer:

The water amount will be equal at 19.5 minutes

Step-by-step explanation:

Here, we want to find the value of t when the water level in both tanks will be equal

We simply proceed to equate both ;

That will be;

30t + 25 = -20t + 1000

30t + 20t = 1000-25

50t = 975

t = 975/50

t = 19.5 minutes

Answer:

850 but im not sure lol

Step-by-step explanation:

645 + 225 = 870

1,320 - 870 = 450

450 + 350 = 800

800 + 50 = 850

Answer:

-4y-4xy+16x

Step-by-step explanation:

Hope this helps!! If you need it step by step I'll comment it in the comments.

Answer:

number of servings = 1.5

Step-by-step explanation:

1 gallon = 16 Cups

cups of lemonade concentrate : lemonade servings

212 cups : 20 servings

How many servings can Mary make using 1 gallon of lemonade concentrate

Let

x = number of servings

cups of lemonade concentrate : lemonade servings

16 cups : x servings

Equate both ratios to get x

212 : 20 = 16 : x

212 / 20 = 16 / x

Cross product

212 * x = 20 * 16

212x = 320

x = 320 / 212

= 1.5094339622641

Approximately 1.5 servings

number of servings = 1.5

Let, us assume that quadratic equation is :

[tex]y = ax^2 + bx + c[/tex]

Now, putting x = 0 and y = -4 :

[tex]c = -4[/tex]

Also, putting x = 1 and y = -3 :

[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex]  ....2)

Also, putting x = 2 and y = 0 :

[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)

Solving equation 2 and 3, we get :

a = 1 and b = 0

Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .

Answer: 3 Answers, It could be 11, It also can be the number 2, or it can be a foul shot in sports. Was I right? Or is the answer "one and one"

Step-by-step explanation:

Answer:

yes it does for algebraic expressions

Answer:

4, they are not related

Step-by-step explanation:

x - y = 2 and y = x + 1

x - y = 2

subtract x

-y = 2 - x

divide by the negative

y = -2 + x or y = x - 2

they are not related

Answer:

The Answer Is A) they are parallel

Step-by-step explanation: i took the test and it was right i hope i helped!

Answer:

√−100 = 0 + 10i

Step-by-step explanation:

i is equal to the square root of -1

change sqrt(-100) to sqrt(-1) * sqrt(100)

i * 10

10i

Note: Your equation expression seems a little unclear. So, I am assuming that your expression is

y = x - 4

The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.

Answer:

The value of y = -7 if x = -3

Step-by-step explanation:

Assuming the given the expression

[tex]y = x - 4[/tex]

Given that we have to find the value of y if x = -3.

so substituting x = -3 in the equation

[tex]y = x - 4[/tex]

[tex]y = (-3) - 4[/tex]

[tex]y = -3-4[/tex]

[tex]y = -7[/tex]

Therefore, the value of y = -7 if x = -3

The graph of the equation y = x- 4 is also attached below.

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?

Solving:

[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]

So, we get x = 71°

Option B is correct answer.

Answer:

what do you mean

Step-by-step explanation:

Answer:

18(cos(4pi/3) + i sin(4pi/3))

Step-by-step explanation:

step 1: find the modulus (|z|=√(a^2 + b^2)

|z|=√((-9)^2+(-9√3)^2)= 81+243= 324 => √324=18

step 2: find the argument using theta =tan^-1 (y/x)

theta=tan^-1((-9√3)/-9) = √3

the tangent value of √3 in the third quadrant has the degree measure of 240 and the radian measure of 4pi/3.

Now put them together!

Answer:

D

Step-by-step explanation:

Ed2021

Answer:

SAS

Step-by-step explanation:

the lines in the middle of a segment mean that they are equal in length.

So OE = EB and AE = EC.

Now, since angle AEB and angle DEC are vertical angles, they are equal.

Therefore the triangles are equal by SAS

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Answer:

12.5 cm

Step-by-step explanation:

An equalateral triangle is one with all the sides the same length.

Answer: 5 units

Step-by-step explanation: