p(x) = 3(x + 10x + 5) - 5(x - k)

In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4...

Step-by-step explanation:

Hopefully it helps

The area of a shape is the amount of space it occupies.

The dimensions to build the largest possible athletic complex is 100 by 50 feet

Assume the length of the fence is y.

So, we have:

[tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Perimeter = 2y + 4x}[/tex]

Substitute 400 for perimeter

[tex]\mathbf{2y + 4x = 400}[/tex]

Divide through by 2

[tex]\mathbf{y + 2x = 200}[/tex]

Make y the subject

[tex]\mathbf{y = 200 -2x}[/tex]

Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Area =x(200 - 2x)}[/tex]

[tex]\mathbf{Area =200x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' =200 - 4x}[/tex]

Set to 0

[tex]\mathbf{200 - 4x = 0}[/tex]

Collect like terms

[tex]\mathbf{4x = 200}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 50}[/tex]

Recall that: [tex]\mathbf{y = 200 -2x}[/tex]

So, we have:

[tex]\mathbf{y = 200 - 2 \times 50}[/tex]

[tex]\mathbf{y = 200 - 100}[/tex]

[tex]\mathbf{y = 100}[/tex]

Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Answer:

5 bracelets

Step-by-step explanation:

The common factor of 10, 25 and 30 is 5

this means that each bracelet will have 2 purple, 5 yellow and 6 red.

Answer:

5 Bracelets

Step-by-step explanation:

the common factor of the numbers 10 25 and 30 is 5

5×2= 10

5× 5 = 25

5x6= 30

these numbers are also multiples of 5.

9514 1404 393

Answer:

  D.  3.844 × 10^8 kilometers

Step-by-step explanation:

To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.

Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...

  3.844 × 10^8 km

Answer:

N = Natural numbers

Answer:

14.365

Step-by-step explanation:

do long division or put it in a calculator

Answer:

27

Step-by-step explanation:

Lets find the rate of selling:

Let v= the rate of selling, b = number of bottles of water, and t = time:

b over t gives us the [tex]v=\frac{b}{t}=\frac{3}{20}=\frac{6}{40}=0.15[/tex] rate of selling:

3 hours is 60min * 3 = 180 mins, and since v=b/t, vt=b:

(0.15) * 180 = 27 bottles of water

Answer:

3.b because 60,27,93

Step-by-step explanation:

can you brainliest me

Answer:

3.b

2.155/⅘

Step-by-step explanation:

hope it's helpful

Answer:

No

Step-by-step explanation:

because it doesn't pass through the origin.

Answer:

The answer is 10 12/85    Hope you pass!

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

y-9y=-9-7

-8y=-16

y=2

_________

[tex] \: [/tex]

[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]

[tex] \frac{y + 7}3 = 3(y - 1) [/tex]

[tex]y + 7 = 9(y - 1)[/tex]

[tex]y + 7 = 9y - 9[/tex]

[tex]y - 9y = - 9 - 7[/tex]

[tex] - 8y = - 16[/tex]

y = 2✔

Using the normal distribution, we have that:

a) The sketch of the situation is given at the end of this answer.

b) The probability is:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.

Item b:

The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:

X = 7:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.1}{1.3}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a p-value of 0.9871.

X = 2.8:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.9871 - 0.1587 = 0.8284, thus:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

A similar problem is given at https://brainly.com/question/25151638

Answer:

X = 53°

y = 143°

Step-by-step explanation:

Hope it helps!!!!!!

The inequality that represents the situation is:

[tex]E_J > 49[/tex].

His earnings are of more than 49 dollars, that is, [tex]E_J[/tex] is greater than $49, which means that the following inequality models this situation:

[tex]E_J > 49[/tex].

A similar problem, also involving an inequality built to represent a situation, is given at https://brainly.com/question/22312773

By doing cross multiply, you'll get

6(p-1) = 8(p+10)

Expand

6p-6 = 8p+80

Arrange

-80-6 = 8p-6p

-86 = 2p

Divide by 2 to find p

-43 = p

Answer:

p =

Step-by-step explanation:

First, we can start by cross multiplying.

p−1p+10=86

(p−1)*(6)=8*(p+10)

6p−6=8p+80

After some simplification, we get:

−2p=86

Then we find out that p = -43

If we put it in, and then simplify that, we will get 8/6

If this helped you, consider marking this as brainliest :)

Answer:

0? I tried solving it myself then I put it into my calculator and both times I got 0

The value of x when h = 4 is 4.

The given equation is  :   4(x − 3) = h.  We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:

Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h

Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12

Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4

Therefore, the value of x in terms of h is x = (h + 12) / 4.

Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.

For more such questions on equation

https://brainly.com/question/29174899

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Answer:   V = πr 2 h

Step-by-step explanation:

To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.

Answer:

Step-by-step explanation:

Answer:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

h = 4 cm

Step-by-step explanation:

Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:

V = 36π cm³

r = 3 cm

First, solve for h:

V = πr ²h

Divide both sides by πr ²:

[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]

[tex]h = \frac{V}{\pi r^{2}}[/tex]

Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.

[tex]h = \frac{36}{9}[/tex]

h = 4 cm

0 is the correct answer;

2*0=0, and 0+3=3.

However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.

It has to be > not =

2

Step-by-step explanation:

because if you subtitute 2 for x you would get

2(2) +3>5

4+3=7

7>5

which makes the inequality true

[tex]\\ \sf\longmapsto f(x+1)[/tex]

[tex]\\ \sf\longmapsto 4(x+1)-2[/tex]

[tex]\\ \sf\longmapsto 4x+4-2[/tex]

[tex]\\ \sf\longmapsto 4x+2[/tex]

g(x)=4x+2

I only have the answer for 1, but !

1. The area of a parallelogram is  base times height. Since the area of that rectangle is twice the area of the circle, then the area of the circle is half the base times the height. It will be half of 2πr· r. The area of the circle will be πr2

Answer:

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

Answer:

hwiwj8eie9eiejnebwnw

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

Answer:

0.521

Step-by-step explanation:

It's just like subtracting