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ExtremeBDS [4]
3 years ago
8

 

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0
Mr. Rowley  : 16/14 reduces to 8/7
Ms. Rivera : 64/60 reduces to 16/15

No, these ratios are not equivalent. Because ratios can be written as fractions....and 8/7 is not equivalent to 16/15
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Find the derivative for the function.
dalvyx [7]

The rule for deriving a multiplication is

(f(x)\cdot g(x))' = f'(x)g(x)+f(x)g'(x)

Also, we can forget about the factor 4 for now, since we have

(4f(x)\cdot g(x))' = 4(f'(x)g(x)+f(x)g'(x))

So, we will just multiply everything by 4 at the end. Our functions are

f(x) = (x^7-9)^{12},\quad g(x) = (4x+8)^{11}

For both derivatives we will use the rule

(f(x)^n)' = n\cdot f(x)^{n-1}\cdot f'(x)

So, we have

f'(x) = 12\cdot(x^7-9)^{11}\cdot 7x^6,\quad g'(x) = 11\cdot(4x+8)^{10}\cdot 4

We can simplify those expression a little bit:

f'(x) = 84x^6(x^7-9)^{11},\quad g'(x) = 44(4x+8)^{10}

The formula f'(x)g(x)+f(x)g'(x) thus becomes

84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10}

And so the final answer is

4(84x^6(x^7-9)^{11}\cdot (4x+8)^{11} + (x^7-9)^{12} \cdot 44(4x+8)^{10})

If you simplify this expression by factoring common terms, you will see that the correct answer is the first one.

5 0
2 years ago
In the image shown, line n is a transversal cutting parallel lines l and m. ∠1 = 3x + 18 ∠7 = 2x + 39 What is the measure of ∠7?
wel

Answer:

B) 81°

Step-by-step explanation:

Given:

From the figure given below,

∠1 = 3x + 18

∠7 = 2x + 39

∠1  and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.

Therefore, the angles 1 and 7 are congruent to each other. This gives,

∠1  ≅ ∠7

3x+18=2x+39\\\\3x-2x=39-18\\\\x=21

Therefore, the value of 'x' is 21.

Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,

\angle 7 = 2x + 39\\\\\angle 7 =2\times 21+39\\\\\angle 7 =42+29\\\\\angle 7 =81\°

Therefore, the correct option is option (B).

4 0
3 years ago
Read 2 more answers
1/8x=-5 solve the equation
amm1812
To solve 1/8x = -5 , you will need to multiply both sides of the equation by 8. once you do that you will get the answer:
x= -40
let me know if you have any other questions
:)
4 0
3 years ago
Read 2 more answers
Can someone help me with this
zhannawk [14.2K]

Answer:

30  I N

Step-by-step explanation:

7 0
3 years ago
On a number line, what number is 2/3 of the way from 7 to 13?
notka56 [123]

Answer:

That would be about 11.667

8 0
3 years ago
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