Solve for x.


Please helpppp!

Given:

The expressions are:

[tex]2x(x^2-6x+3)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

[tex]a(b+c)=ab+ac[/tex]

The first expression is:

[tex]2x(x^2-6x+3)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)[/tex]

[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]

Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].

The second expression is:

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]

Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].

Answer:

4th option 0,5,10,15

Step-by-step explanation:

Let's check if the first choice is geometric.

2*3 = 6. is 6*3 = 18, yes! is  18*3 = 54. Yep! its geometric

the second option multiplies by -2, it is geometric

the third option multiplies by 1/5, it is geometric

The fourth option does not multiply by anything common, it is Not geometric

Answer:

0,5,10,15 is not the sequence of geometric.

Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.

Step-by-step explanation:

This is totally correct!

Answer:

THREE AND SIX OR FOUR AND FIVE

Step-by-step explanation:

They're just opposite ends !

Step-by-step explanation:

Alternate Interior Angles: 3 and 6

Alternate Exterior Angles: 2 and 7

Answer: 2

Step-by-step explanation:

Given

The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]

According to the remainder theroem

[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]

Put [tex]x=1[/tex] in the polynomial to get the remainder

[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]

So, we get the remainder 2.

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

[tex]2x+29=9x-13[/tex]

[tex]2x-9x=-29-13[/tex]

[tex]-7x=-42[/tex]

Divide both sides by -7.

[tex]x=\dfrac{-42}{-7}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

Answer:

122.3 degrees

Step-by-step explanation:

To get the measure, we use the appropriate method

The method we are going to use here is the cosine rule

We have the general form as;

a^2 = b^2 + c^2 -2bc Cos A

where a = 25

b = 9 and c = 19

Substituting these values;

25^2 = 9^2 + 19^2 - 2(9)(19) Cos A

183 = -342 cos A

cos A = -183/342

cos A = -0.54

A = arc cos -0.54

A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65

= 122.35

Answer:

Rida is 10 years old and her father is 40 years old.

Step-by-step explanation:

Given:

Present age

Present age of Rida = x

Present age of Rida's father = 4x

Age after 5 years

Age of Radi after 5 years = x + 5

Age of Radi's father after 5 years = 3(x + 5)

What To Find:

The present age of Rida and Rida's father.

Solution:

According to the statement the equation will be,

⇒ 4x + 5 = 3(x + 5)

Remove and solve the brackets,

⇒ 4x + 5 = 3x + 15

Take numbers to RHS and variable to LHS,

⇒ 4x - 3x = 15 - 5

Subtract 3x from 4x and 5 from 15,

⇒ x = 10

Now substitute the values of Rida's age and Rida's father's age,

Rida's age = x = 10 years

Rida's father's age = 4x = 4(10) = 40 years

Answer:

Ok so the probability  would be 16%(can be round to)

Step-by-step explanation:

Step-by-step explanation:

The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are

12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.

a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.

[tex] \frac{26 + 27}{2} = 26.5[/tex]

The median is 26.5

b. The range is maximum value minus minimum value.

[tex]48 - 12 = 36[/tex]

c. The mode is the number that appear the most

That number is 31.

d. 20 students took apart of this survey.

Answer:

A

Step-by-step explanation:

The slope is -1/2 and the y-intercept is 14

Answer:

I want to help but I don't understand the question. Can you plz send a picture of the question

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

Answer:

Hello! answer: 18

Step-by-step explanation:

AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!

1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.

2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.

Let x be the sample mean

Let s be the sample standard deviation

Let n be the sample size

Let α be the significance level

Let Z be the standard normal distribution value.

To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:

1. Random sampling:

The sample of 125 workers was selected randomly.

2. Independence:

We assume that each worker's commuting time is independent of each other.

3. Sample size:

n = 125 > 30. This satisfies the condition for the central limit theorem to apply.

4. Normality:

The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).

Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.

Read more about confidence interval

brainly.com/question/15712887

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Answer:

73

Step-by-step explanation:

9.2  x 10 - 3 - 1.3 x 10 - 3

92 -3 - 13- 3

73 is the answer if that the question

Answer:

[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]

Answer:

14.286% increase

Step-by-step explanation:

Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.

We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)

[tex]10*100/70=14.286[/tex]

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7

Answer: B

Step-by-step explanation: 65/100 = 65%

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

Answer:

150 degrees.

Step-by-step explanation:

We know, 1 Hour angles = 15 Degrees

So, 10 hour walking = 10*15 = 150 degrees

Hope this will help. Please mark me brainliest.

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

may be QR also equal to 34

Answer:

5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3

Step-by-step explanation:

It is abe

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps