x^3+5x^2+3x+15 factor the polynomial

Answer:

ES LA NUME  C                                        R

Step-by-step explanation:

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Answer:

selling prices =10% 10+150+15%=180

the answer of this question is (-2,2)

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

This is because the two chords are the same length, so they are the same distance away from the center.

We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.

Answer:

Step-by-step explanation:

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

hope it help ..........you

Answer: x = 36

Step-by-step explanation:

[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]

Answer:

(0.5,3)

Hope this helps..Have a good day!!

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

Learn more here: https://brainly.com/question/16151695

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

Answer:

[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]

Step-by-step explanation:

Answer:  [tex]\sqrt{2}[/tex]

======================================================

Explanation:

Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,

[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]

Now rationalize the denominator

[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]

Which is the exact value of [tex]\sec(45^{\circ})[/tex]

The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.

Answer:

36: G-30

37: Please add the rest of the questions, so I can answer 37.

Step-by-step explanation:

Answer:

1000cm²=0.1m²

so 7000cm²=0.7m²

Step-by-step explanation:

please mark me as brainliest

Answer:

0.7

Step-by-step explanation:

Make ratio:

1 square centimeter = 0.0001 square meter

x square meters = 7000 square centimeters

Multiply:

0.0001 × 7000 = 0.7

Hope this helped.

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Answer:

Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH

Step-by-step explanation:

Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5

áp dụng tính chất của dãy tỉ số bằng nhau, ta được:  

x/7 = y/5 => x-y =/7-5 = 6/2 = 3

Vì x/7 = 3 => x = 21

y/5 = 3 => y= 15

Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh

Answer:

a) 3.5 cm / month

b y = 3.5(x-1) + 4, x >= 1

Step-by-step explanation:

the plant grew 32-4 = 28 cm in 9-1 = 8 months.

so, the growth rate is 28 cm / 8 months = 7 cm / 2 months, or (to norm it to a typical 1 unit denominator) 3.5 cm per month.

x = months of growth

y = height of plant

so, considering the "start" of 4 cm after one month, the equation is

y = 3.5(x-1) + 4, x >= 1

since we don't know anything about anything that happened before the first month was over, we cannot validate this equation for anything x<1.

Answer:

x = 3

Step-by-step explanation:

We are given the equation 4(x - 8) + 10 = -10 and are asked to find the solution, solution meaning to get x alone.

To do so, first distribute the 4 on the outside of the parenthesis to both values on the inside of the parenthesis :

4(x - 8)

(4 * x - 4 * 8)

4x - 32

4x - 32 + 10 = -10

Now combine like terms :

4x - 22 = -10

Now it's time to get x alone, first get rid of -22 by adding 22 to both sides :

4x = 12

Now get x alone by dividing both sides by 4 :

x = 3

Answer:

i don't know

Step-by-step explanation:

i don't know

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

Answer: x = 74.3

Step-by-step explanation:

Let 22 be reference angle

so

tan 22 = p/b

tan 22 = 30/x

or, x= 30/tan22

so, x = 74.252

so, x = 74.3

Answer:

b) 78.5

Step-by-step explanation:

distance you will move = circumference of wheel = πd = π(25) = 78.53981