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kkurt [141]
4 years ago
6

I need help with number 35

Mathematics
1 answer:
Lyrx [107]4 years ago
3 0

Answer:

Step 1       Distributive Property

Step 2      Associative Property

Step 3      Multiplication Rule

Step 4      Zero Exponent Rule    

Step 5      Definition of an Exponent

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. Multiplication Rule: When we multiply terms with the same bases, we add exponents.

3. Division Rule: When we divide terms with the same bases, we subtract exponents.

4. Zero Exponent Rule: When we have a base to the exponent of 0, it is 1.

5. Negative Exponent Rule: A negative exponent creates a fraction.

6. Power to a Power Rule: When we raise an exponent to an exponent, we multiply exponents.

7. Distributive Property: When we have exponents with parenthesis, we apply it to everything in the parenthesis.

Step 1       Distributive Property

Step 2      Associative Property

Step 3      Multiplication Rule

Step 4      Zero Exponent Rule    

Step 5      Definition of an Exponent

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Y= x^3 + 8x^2 +5x<br> work out the coordinates of the two turning points
aliya0001 [1]

Answer:

(-5, 50) and (-1/3, -0.815)

Step-by-step explanation:

The equation is;

y = x³ + 8x² + 5x

Now the turning point will occur at where dy/dx = 0.

Thus;

dy/dx = 3x² + 16x + 5

At dy/dx = 0, we have;

3x² + 16x + 5 = 0

From quadratic formula, we can get;

x = -5 or -⅓

Thus, let's find y at this points.

y = -5³ + 8(-5)² + 5(-5)

y = -125 + 200 - 25

y = 50

Also,at x = -⅓, we have;.

y = (-⅓)³ + 8(-⅓)² + 5(-⅓)

y = -1/27 + 8/9 - 5/3

y = -0.815

Thus,the coordinates of the turning points are;

(-5, 50) and (-1/3, -0.815)

6 0
3 years ago
What is the median age showed in the box and whisker plot?
hoa [83]

Answer:

D

Step-by-step explanation:

I'm not 100% percent sure but I believe its that one

5 0
3 years ago
Read 2 more answers
-x&lt;-29−x&lt;−29 pls answer pls
Tasya [4]

Solve for x.

x − 29 > x > 0

3 0
3 years ago
I'm having a bit of a problem with this piecewise function I will upload a photo
kipiarov [429]

Given the piecewise function:

f(x)=\begin{cases}-0.5x-4,x\le-2 \\ 5,-24\end{cases}

So, for the given function, we will graph it as follows:

1) graph the line (-0.5x-4) as x less than or equal to -2

To graph the line, we need two points

We will substitute with two values less than -2 and calculate the corresponding values of f(x)

When x = -4, f(x) = -0.5 * -4 - 4 = -2

When x = -6, f(x) = -0.5 * -6 - 4 = -1

So, the line will pass through the points ( -4, -2) and ( -6, -1)

The line will start from the point ( -2, -3)

The dot at x = -2 will be closed.

2) Graph the line (y = 5) as x between -2 and 4

The line will be horizontal at this interval

the dot at x = -2 will be open

The dot at x = 4 will be closed

3) Graph the line ( -x + 5 ) as x greater than 4

As in (1), substitute with 2 values of x greater than 4

When x = 5, f(x) = -5 + 5 = 0

When x = 6, f(x) = -6 + 5 = -1

So, the line will pass through the points ( 5, 0 ) and ( 6, -1 )

The graph of the function will be as shown in the following picture:

8 0
1 year ago
Which function is the inverse of f(x)= 3x+5 over 7
Pani-rosa [81]

f(x) = (3x+5)/7

Step 1:

we write f(x) as y

y=(3x+5)/7

Step 2:

switch y by x and x by y

x=(3y+5)/7

Step 3:

solve for y,

x=(3y+5)/7

multiply both sides by 7

7x=3y+5

subtract 5 from left side

3y=7x-5

divide both sides by 3

y= (7x-5)/3

f⁻¹ (x) =(7x-5)/3

8 0
4 years ago
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