What is the value of x in this expression:
15= 1/2 + 3/2x + 10

According to the first scale, 2 red balls = 1 star.

According to the second scale, 2 triangles = 1 star

So,

1 triangle = 1 red ball

1 star = 2 red balls

1 red ball = 1 red ball

Therefore, 2 + 1 + 1 = 4 red balls

The last scale needs 4 red balls

K = -3

1. Simplify -k-4k to -5k

-5k=3(k-10)-6(k-6)

2. Distribute Parentheses/Expand

-5k=3k-30-6k+36

3.Simplify 3k-30-6k+36 to -3k +6

-5k=-3k+6

4. Add 3k to both sides

-5k+3k=6

5. Simplify -5k+3k to -2k

-2k=6

6. Divide both sides by -2

k=-6/2

7. Simplify 6/2 to 3

k=-3

Answer:

1) [tex]\frac{dy}{dx}=12x^2+6x-6[/tex]

2) [tex]x\leq-1\text{ or } x\geq 1/2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=4x^3+3x^2-6x-1[/tex]

Part A)

We want to find the derivative of the above function. So:

[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3+3x^2-6x-1][/tex]

Expand:

[tex]\frac{dy}{dx}=\frac{d}{dx}[4x^3]+\frac{d}{dx}[3x^2]+\frac{d}{dx}[-6x]+\frac{d}{dx}[-1][/tex]

Use the power rule. Therefore, our derivative is:

[tex]\frac{dy}{dx}=3(4x^2)+2(3x)+(-6)+(0)[/tex]

Simplify:

[tex]\frac{dy}{dx}=12x^2+6x-6[/tex]

Part B)

We want to find the range of the values of x such that:

[tex]\frac{dy}{dx}\geq 0[/tex]

So, all we have to do is substitute our derivative in:

[tex]12x^2+6x-6\geq0[/tex]

And solve for this quadratic inequality!

Solve it normally. Pretend the inequality is with an equal sign. So:

[tex]12x^2+6x-6=0[/tex]

Divide everything by 6:

[tex]2x^2+x-1=0[/tex]

Factor. We can use -2 and 1. So:

[tex]2x^2+2x-x-1=0[/tex]

From the first two terms, factor out 2x.

From the third and fourth terms, factor out a negative. So:

[tex]2x(x+1)-(x+1)=0[/tex]

Grouping:

[tex](2x-1)(x+1)=0[/tex]

Zero Product Property:

[tex]2x-1=0\text{ or } x+1=0[/tex]

Solve for x in each case:

[tex]x=1/2\text{ or } x=-1[/tex]

So, the zeros of our function is -1 and 1/2.

Looking above, we can see that this is a greater than inequality.

Since this is a greater than inequality, our solution is all values to the left of the first zero and all values to the right of the second zero.

Therefore, our solution is:

[tex]x\leq-1\text{ or } x\geq 1/2[/tex]

In interval notation, this is:

[tex](-\infty,-1]\cup[1/2,\infty)[/tex]

So, for all values within the above interval, our derivative, dy/dx, will be greater than or equal to 0.

And we're done!

Edit: Typo. Brainly is rather buggy right now.

Answer:

3

Step-by-step explanation:

1. One= $25 Two= $40 Three= $55

2. One= $35 Two= $45 Three= $55

Answer:

The three integers are

11, 13, and 15.

Step-by-step explanation:

We shall consider the integers as

x, (x+2), and (x+4). The sum of these is 39, so we can write:

x+(x+2)+(x+4)=39

Open the brackets and simplify.

x+x+2+x+4=39 3x+6=39 Subtract 6 from each side.3x=33 Divide both sides by 3.x=11 Therefore: (x+2)=13and (x+4)=15

Answer:

The three integers are 11, 13, and 15 .

Step-by-step explanation:

We shall consider the integers as x, ( x + 2 ) , and ( x + 4 ) . The sum of these is 39, so we can write:

x + (x + 2) + (x + 4) = 39

Open the brackets and simplify.

x + x + 2 + x + 4 = 39

3x + 6 = 39

Subtract 6 from each side.

3x = 33

Divide both sides by 3.

x=11

Therefore: (x + 2) = 13 and (x + 4) = 15

Answer:

45

Step-by-step explanation:

You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer

Answer:

3

Step-by-step explanation:

i guessed and got it right on edge

Answer:

yes the correct answer is 3

Step-by-step explanation:

on Edge. stats how 3 is correct. and given from the picture how 3 is the only visible number.......;-;

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Answer: Thursday

Explanation: its Thursday because Monday is 5° below 0 is a negative number and Wednesday is 2° below 0 is also a negative number because its below 0. Now on Thursday its 3° above 0 which is the correct answer you need because its above the negative numbers of 0 which = a positive number now Tuesday is 0° which is just 0 nothing else.

Simple <3

Answer:

its Thursday

Step-by-step explanation:

because it states 3 above 0

Answer:

Yes, it is possible.  Hope this helps!

Step-by-step explanation:

Answer:

{3, 4, 5, 6, 7, 8, 9, 10, 11}

Step-by-step explanation:

Let integer be x

x > 2 and x < 12

gives

2 < x < 12

All such integers are {3, 4, 5, 6, 7, 8, 9, 10, 11}

Answer: 0.98 is larger than 0.112.

Step-by-step explanation:

0.112 is farther away from 1 because it is smaller  and  0.98 is larger and closer to 1.

Hey there! I'm happy to help!

We see that Kevin travels 12 1/2 miles in 1/3 hours. We want to see how far he travels in one hour. To do this, we simply multiply by 3!

12 1/2×3=37 1/2

Therefore, Kevin travels at 37 1/2 mph.

Have a wonderful day! :D

Answer:

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Step-by-step explanation:

Given:

2x - 5 and 3x2 + 5x - 7

Product of two values means multiplication of the two values

(2x - 5) (3x^2 + 5x - 7)

6x^3 + 10x^2 - 14x - 15x^2 - 25x + 35

Collect like terms

6x^3 + 10x^2 - 15x^2 - 14x - 25x + 35

Simplify

6x^3 - 5x^2 - 39x + 35

(2x - 5) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x + 35

Therefore product of 2x - 5 and 3x2 + 5x - 7 is 6x^3 - 5x^2 - 39x + 35

Answer:

I need only only only 0 rupees

Answer:

see below

Step-by-step explanation:

3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?

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

1. dog walking:

6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour

$10,800 in 3 months

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

2.  private swim instructor

6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour

$7,200 in 3 months

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

3.  sandwich maker

6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour

$6,030 in 3 months

Answer:the answer would be 3 ) For every 1 cup of peanut butter, there is 5 cups of cookie dough

Step-by-step explanation:

Answer:

The slope is 3/1 or 3.

Step-by-step explanation:

The slope equation is y2-y1/x2-x1. Plug the coordinates into the equation and you get -6-3/-1-2 = -9/-3 = 9/3 = 3/1 = 3.

Answer:

(-6,3)

Step-by-step explanation:

Answer:

-27

Hope this helps.

Answer:56000

Step-by-step explanation:

Answer:

C. 6x-7

Step-by-step explanation:

4x+2x=6x

(-3)+(-4)=-7

6x-7

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

:)

Given:

Side lengths of triangle are (6.2v-5.5) cm, (8.5v-6.7) cm, and (6.6w+7.6) cm.

To find:

The expression which represents the perimeter of the given triangle.

Solution:

We know that perimeter of a triangle is the sum of all sides of a triangle. So,

[tex]Perimeter=(6.2v-5.5)+(8.5v-6.7)+(6.6w+7.6)[/tex]

On combining like terms, we get

[tex]Perimeter=(6.2v+8.5v)+6.6w+(-5.5-6.7+7.6)[/tex]

[tex]Perimeter=14.7v+6.6w+(-4.6)[/tex]

[tex]Perimeter=14.7v+6.6w-4.6[/tex]

Therefore, the perimeter of the triangle is [tex]14.7v+6.6w-4.6[/tex].