Solve |2x + 6|<16

A {x|-11 B {x<-11 or x>5}
C {x|-5

Answer:

use the indices formula

Answer:

12 + 6 + 15 = 12 + 15 + 6

Hope this helps :D

Answer:

C

Step-by-step explanation:

[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]

so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]

Answer:

x = 12.52°

Step-by-step explanation:

The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

Answer:

The answer is x = 12.84°

Step-by-step explanation: I took the test

Answer:

√ 2 or in decimal form 1.4

Have a nice day! :)

Answer:

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.

Answer:

16

Step-by-step explanation:

The angle in an equilateral triangle is given as:

3x + 12

The angle is an equilateral triangle is 60°. Therefore:

3x + 12 = 60

=> 3x = 60 - 12 = 48

x = 48 / 3 = 16

x is 16

Answer:

60%

Step-by-step explanation:

30/100×200=60%

exactly 60 that's the answer

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

~

Answer:

the answer is 120 degrees

Answer:

36.70

Hope this helps!

Answer:

The estimation of this equation is the number 33

Step-by-step explanation:

First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

Answer: None, 0 real roots

Step-by-step explanation:

To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]

b = 2

a = -1

c = -5

[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]

iff x > 0: 2 roots

iff x < 0: none

iff x = 0: 1 root

Actual Explanation and Intuition behind it:

If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level

If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer

If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0

The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]

Answer:

D

Step-by-step explanation:

A=bh

A=11.40*6.90

A=78.66 cm^2

Answer:

base x height = area

6.9 x 11.4 = 78.66

D. is the answer

Hope this helps

Step-by-step explanation:

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour

Answer:

1.1

Step-by-step explanation:

7.2-6.1

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Answer:

All true

Step-by-step explanation:

By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.

Answer:

x, y, 4, 0

Step-by-step explanation:

To determine the inverse of the given function change f(x) to y switch x and y and solve for  y.

f(x) = sqrt(x - 4)

y = sqrt(x - 4)

x = sqrt(y - 4)

x^2 = y - 4

x^2 + 4 = y

y = x^2 + 4

The domain of the inverse is the same as the range of the original function.

inverse f(x) = x^2 + 4

x^2 + 4 >= 4

x^2 >= 0

x >= 0

The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.

Answer:

x, y, 3, and 0

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

[tex]5b=2r[/tex]

Step-by-step explanation:

Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn

To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r

Solution:

As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,

number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]

[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]

Therefore,

equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]

Answer:

In this way it is proved

Answer:

16

Step-by-step explanation:

Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.

An = A+(n-1)d

This shows that: A5 = 4+ 4(3) = 16.

Fifth term of the arithmetic sequence is 16.

"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."

Given

First term a1 = 4

Common difference d = 3

n = 5

Formula to find fifth term in the arithmetic sequence

[tex]a_{5} = a_{1} +(n-1)d[/tex]

[tex]a_{5}= 4+(5-1)3[/tex]

[tex]a_{5}= 4+(4)3[/tex]

[tex]a_{5}= 4+12[/tex]

[tex]a_{5}= 16[/tex]

Hence, fifth term of the arithmetic sequence is 16.

Learn more about arithmetic sequence here

https://brainly.com/question/15412619

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Answer:

45 degrees

Method: Parallel

Answer:

B. 3x² -17

Step-by-step explanation:

f(x)= 3x+1

g(x)= x² -6

(f °g)(x) =f(g(x)) so plug in in f for variable x²-6

(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17

Answer:

yes

Step-by-step explanation:

Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that  the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)