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I am Lyosha [343]
4 years ago
9

|4b-4|+|3-b^3|+2b^3;b=2

Mathematics
1 answer:
Katen [24]4 years ago
5 0
|4b - 4| + |3 - b³| + 2b³

subtitute b = 2 to the expression

|4·2 - 4| + |3 - 2³| + 2·2³ = |8 - 4| + |3 - 8| + 2·8 = |4| + |-5| + 16 = 4 + 5 + 16 = 25

---------------------------------------------

|4b - 4| + |3 - b²| + 2b³

|4·2 - 4| + |3 - 2²| + 2·2³ = |8 - 4| + |3 - 4| + 2·8 = |4| + |-1| + 16 = 4 + 1 + 16 = 21
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the sum of two numbers is 35. the smaller number is 21 less than the larger number. What are the numbers?​
bearhunter [10]

Answer:

\huge\boxed{28\ and\ 7}

Step-by-step explanation:

x-\text{the bigger number}\\(x-21)-\text{the smaller number}\\35-\text{the sum of numbers}\\x+(x-21)-\text{the sum of numbers}\\\\\text{The equation:}\\\\x+x-21=35\qquad\text{add 21 to both sides}\\\\x+x-21+21=35+21\\\\2x=56\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{56}{2}\\\\x=28\to x-21=28-21=7

3 0
4 years ago
Read 2 more answers
Given the equation 8x = 4y + 16, generate a plan to rewrite it in slope intercept form. Which variable do you solve for?
andre [41]

Answer:

y = 2x-4

Step-by-step explanation:

To put the equation in slope intercept form (y=mx+b), we solve the equation for y

8x = 4y +16

Subtract 16 from each side

8x - 16 = 4y+16-16

8x-16 = 4y

Divide each side by 4

8x/4 -16/4 = 4y/4

2x -4 = y

y = 2x-4

4 0
4 years ago
Read 2 more answers
Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times
ryzh [129]

Let the age of Vera be 'x' years

So the age of Linda is '2x' years

Now Tanya is 4 less than 4 times Linda

So age of Tanya = 4(2x) -4 = 8x -4 years

So total age of Vera , Linda & Tanya

= x + 2x + 8x - 4

= 11x - 4

But it is 2 less than 9 times Vera's age

11x - 4 = 9x + 2

11x - 9x = 4+2

2x = 6

x = 3

So Vera's age = 3 years

Linda's age = 2(3) = 6 years

Tanya's age = 8x - 4 = 8(3) - 4 = 24-4=20 years

Tanya is 20 years old.


8 0
3 years ago
A number g multiplied by −8  is at least  14 .
Dmitry [639]
-8g is greater than or equal to 14
8 0
3 years ago
Read 2 more answers
Draw the graph of y = 2x + 1
VARVARA [1.3K]

Answer:

Draw a dot at (0, 1)

Draw dot at (-1, -1)

Draw dot at (1, 3)

Connect the dots with a straight line

Step-by-step explanation:

The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).

The slope is 2, also written as \frac{2}{1}. This means that the line goes up 2 units for each 1 unit to the right.

4 0
3 years ago
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