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Use synthetic division and the remainder theorem to find P(a).
P(x) = x^3 + 5x^2 - 6x +6; a = 4
P(a) =
Simplify your answer

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

Answer:

I hope this helps.

Answer:

Hello! The answer is $37.24.

Step-by-step explanation:

By simple calculations, 38% of $97.99 equates to $37.2362. However, since this is a money-based question, we have to round the last two numbers up - which basically equals $37.24!

Answer:

Ryan had $37.24

Step-by-step explanation:

Answer:

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Explanation:

7x - 15y = 2  (1)

x + 2y = 3 (2)

x + 2y = 3

x + 2y - 2y = 3 - 2y

x = 3 - 2y  (3)

Substitute (3) to (1)

7x - 15y = 2

7(3 - 2y) - 15y = 2

21 - 14y -15y = 2

21 - 21 - 29y = 2 - 21

-29y = -19

y = [tex]\frac{19}{29}[/tex]  (4)

Plug (4) into (2)

x + 2y = 3

x + 2[tex]\frac{19}{29}[/tex] = 3

x + [tex]\frac{38}{29}[/tex] = 3

x = 3 - [tex]\frac{38}{29}[/tex]

[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]

Answer:

x = 27

Step-by-step explanation:

Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.

The percentage of an amount a relative to another amount b is given by:

[tex]P = 100\frac{a}{b}[/tex]

From the table given:

Then

[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]

19% of the 7th graders in the School of Rock play keyboard.

A similar problem is given at https://brainly.com/question/10491646

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

Answer:

[tex]s\sqrt{2}[/tex]

Step-by-step explanation:

This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.

Answer:

105.6 km

Step-by-step explanation:

Use: King Henery Doesn't Usually drink chocolate milk

K in king stands for kelo

H in Henery stands for hecto

D in Doesn't stands for deka

U in Usually stands for Meters, Liters, and Grams

d in drink stands for Deci

c in chocolate stands for Centi

And m in milk stands for milli

Answer:  119z −  110

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \boxed{(2x + 1)(x - 5)}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

Answer:

-4-4i

That's the answer for the question

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

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Answer:

given the expression  4x - 2y + z + 5 we see three terms of the expression:  4x, -2y, +z , 5.

Terms are made of two things, a coefficient and a variable.

coefficient       variable

     4                 x

    -2                 y

   +1                 z

   +5                 no variable exists in this term so it is a special term called a constant.

Coefficients can be +/-, fractions, decimals, whole numbers, etc.

In equations the coefficient is often shown as a letter such as

ax + by + 3.

This means (a times x) plus (b times y) plus 3

fractional coefficients looks like this example:   x/4  + y/2  - z/3

the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

Answer:

Let x and y be the numbers, with x the larger one.

x - y = 5

2y = x + 18

Then solve this system of equations:

x - y = 5

x - 2y = -18

Subtract bottom equation from top equation and get

y = 23

So x = y + 5 = 23 + 5 = 28

Answer:

15

Step-by-step explanation:

Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.

Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]

Answer:

20.8333333333

Step-by-step explanation:

7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.

Hi there! :)

A geometric sequence is a sequence where we use multiplication or division to get to the next term.

We use multiplication in the third sequence (we multiply by -5)

So the answer is Option C

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

[tex]SilentNature[/tex]

60

Step-by-step explanation:

Answer:

18x+7

Step-by-step explanation:

3(2x + 5) + 4(3x - 2)

6x+15 + 12x - 8.........distribute

18x+7..........................combine like terms

18x+7

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]3(2x + 5) + 4(3x - 2)[/tex]

You have to distribute:

[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]

[tex]=6x+15+12x+-8[/tex]

You must combine like terms:

[tex]=6x+15+12x+-8[/tex]

[tex]=(6x+12x)+(15+-8)[/tex]

[tex]=18x+7[/tex]

ANSWER:

[tex]=18x+7[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Using the concept of probability, the probability of rolling 2 sixes would be 1/25

From the tree diagram given :

The probability of rolling 2 sixes can be defined thus :

Hence,

P(2 6's) = 1/5 × 1/5 = 1/25

Hence, the probability of rolling 2 sixes is 1/25.

Learn more : https://brainly.com/question/14522818

Answer:

B and C

Step-by-step explanation:

Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D

None of the equations is true.

Two or more expressions with an equal sign are defined as an equation.

The first equation is 54 ÷6 + 3² =4 + 4².

Simplify the equation:

54 ÷6 + 3² =4 + 4²

9 + 9 = 4 + 16

18 = 20

The left side and the right side of the equation are not equal, hence the first equation is not true.

Simplify the second equation:

8042 = 10-22-1

8042 = -13

The second equation is also false.

Simplify the third equation:

62−22=4+7⋅22

40 = -11

The third equation is also false.

Simplify the fourth equation:

19−2⋅5=9⋅73−9

16.5 = 0.73

The fourth equation is also false.

Hence, none of the equations is true.

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Answer:

C:6

Step-by-step explanation:

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

Answer:

v79

Step-by-step explanation:

v79-9that is 10 the closest

[tex] \frac{12}{1} = \frac{96}{x} [/tex]

[tex] 12x = 96[/tex]

[tex]x = \bold{8liter}[/tex]