Evaluate (6x + 1) – (2x + 8) when x = 3.

Answer:

Step-by-step explanation:

The first thing should always do is find a program that will show you what the graph looks like. Desmos is a free program that suits all graphing questions.

That will give you the answer (which I have labeled for you.)

First make x = 0

That gives you y = 0 + 4 = 4

The point is (0,4)

Now let y = 0

0 = -1/5 x + 4     Add 1/5x  to both sides

1/5 x = 4             Now multiply by 5

x = 5*4

x = 20

The point is (20,0)

You need one more point just to confirm your work. I chose x = - 5

When you do the calculation it comes out to y = 5

The point is (-5,5) which is labeled.

Answer:

First, let us prime factorise the given number

3993 = 3×11×11×11

Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.

So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)

So, the answer is 3

Answer:

The average speed of A is

100m ÷ 10. 93s = 9.14m/s

The average speed of B is

100m ÷ 10. 49s = 9. 53m/s

The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s

The speed that B is faster than A is

0. 42m/s × 10. 49s = 4. 40m

So, B won by 4. 40m

Step-by-step explanation:

First find Divisor

[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]

[tex]\\ \sf\longmapsto x^2+5x+6[/tex]

Dividend given by

[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]

We know

[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]

[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]

[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]

[tex]\\ \sf\longmapsto x^2-6x+8[/tex]

Now factor

[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]

[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]

[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]

[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]

Hence all zeros are

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cup = 8 fl oz

x cup = 6 fl oz                         Cross multiply

6 oz * 1 cup = 8 oz x               divide by 8

x = 6 oz /8 oz = 3/4 cup

If kim needs 1/4 cup per batch then she will have enough for 3 batches of 1/4 cup each.

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.

Answer:

hey why you delete my answers

Answer

you cant have a remainder bigger then your divident

Step-by-step explanation:

Answer:

The Lowest common multiple of 25, 30 and 75 is 150.

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

Hi

let's call X number of photo ordered.

So total Cost  is  C(x) = 7X+ 25

Il let you calculate for X = 12 . Have fun

Answer:

B. its B

Step-by-step explanation:

The answer is B! :)

According to the figure:-

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Answer:

angles of half a circle is 90

its 90 degrees

Answer:

90°

Step-by-step explanation:

the triangle is inside a circle and  touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle

Answer:

The sum of the larger and smaller number is 15.

Step-by-step explanation:

Let x = smaller number

Let y = larger number

Set up a system of equations.

2y - x = 21

2y + x = 27

Add the two equations together to cancel out x

4y = 48

Divide both sides by 4

y = 12

Plug value into either equation to find x

2(12) - x = 21

24 - x = 21

x = 3

12 + 3 = 15

Answer:

y^-24, x^-2 y^-5, 1/ y^24, x^2/y^11, x^2y^-11 and 1/ x^2y^5

ok i tried searching up the problem and how to solve it but didn`t come up with much.

i don`t know if this changes anything, but I noticed that some of these answers are opposites

ex (from the sequence you gave me in the comments below)                                      : y^-24, x^-2, y^-5, y^24, x^2,  y^5

maybe thats what it meant by matching the expressions?

again, sorry if this wasnt much help i have a small brain DD::

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90° , then

5x + 7 + 8x - 21 = 90 , that is

13x - 14 = 90 ( add 14 to both sides )

13x = 104 ( divide both sides by 13 )

x = 8

Then the measure of the angles are

5x + 7 = 5(8) + 7 = 40 + 7 = 47°

8x - 21 = 8(8) - 21 = 64 - 21 = 43°

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

let the angle be x then its complement is (90 - x) and

x = 2(90 - x) + 21

x = 180 - 2x + 21

x = 201 - 2x ( add 2x to both sides )

3x = 201 ( divide both sides by 3 )

x = 67

The measure of the angle is 67°

Answer:

35 different combinations

Step-by-step explanation:

This would be a combination because the same person cannot get all three medals so permutation is not the correct way to calculate this. We use the formula C(n,r)=(nr)=n!(r!(n−r)!)=? where n is the number of total objects and r is the number of objects taken from the total.

brainliest pls . . . uwu

Hi ;-)

[tex](-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}[/tex]

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

Answer:

-14

Step-by-step explanation:

Substitute the values for the variables.

[tex]2(-3)+2(-4)\\-6-8\\-14[/tex]

Answer:

-14

Step-by-step explanation:

cause you do 2(-3) + 2(-4) = -14

Answer: on the number line put -1.50 (1 and a half (1 1/2))

Step-by-step explanation:

$1.50 more than his account is $200.

the balance should be $-1.50

on the number line put -1.50

Step-by-step explanation:

5.

[tex] | \frac{x}{3} +{ \frac{2}{5} } | = 2[/tex]

[tex] \frac{x}{3} = \frac{6}{5} [/tex]

[tex]5x = 18[/tex]

[tex]x = \frac{18}{5} [/tex]

and

x/3=-12/5

x=-36/5

Hey man, refer the attachment.