Please help with these

Answers

Answer 1

Answer:

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

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Rewrite the equation in vertex form: y=x^2-8x+13

Answers

$vertex\ form:y=a(x-p)^2+q\n\nwher\ p=(-b)/(2a)\ and\ q=f(p)\n\n\ny=x^2-8x+13\na=1;\ b=-8;\ c=13\n\np=(-(-8))/(2\cdot1)=(8)/(2)=4\n\nq=f(4)=4^2-8\cdot4+13=16-32+13=-3\n\nAnswer:y=(x-4)^2-3$

Find the value of 83 - [59 - (22 - 18)]. 16 28 64
anyone??

Answers

so, we need to solve this. 83-[59-(22-18)]
so, we need to use PEMDAS. Using that method, we should find the correct answer. So, 83-[59-(22-18)] would be simplified to 83-[59-(4)]. Then, we do what's left in the parentheses. Now it would be 83-55. So, once you subtract 83 by 55, your answer would be 28.
The answer is B. 28.

We can first start out by simplifying 83 - [59 - (22 - 18)].

22 - 18 = 4, and now we're left with 83 - 59 + 4.

Subtract 83 - 59 to get 24, and then add 4 to get 28.

So, the answer to your problem is 28.

Simplify and identify and x-values for which the expression is undefined. 4x-8 divided by x^2-2x

Answers

$(4x-8)/(x^2-2x)=(4(x-2))/(x(x-2))=(4)/(x)\n\n\n\nx^2-2x\neq0\Rightarrow x(x-2)\neq0\Rightarrow x\neq0\ \wedge\ x\neq2$

A line with a slope of 10 passes through the point (9, 3). What is its equation in point-slope form?

Answers

Answer:

y=10(x-9)+3

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=10(x-9)+3

A moving company had one seven of a ton of a weight to move across town. If they wanted to split it equally amongst 8 trip,how much weight they have on each trip?

Answers

so 1/7 divided by 8

equals to 1/ 56 tons per trip

Angel is shopping in a department store for sneakers. He picks a pair of sneakers that costs $85 but are on sale for 15% off.
Since they were on clearance he was entitled to an additional 10% off
the sale price. What was the total cost of the sneakers?

Answers

Answer:

65 dollars and 2 cent

Step-by-step explanation:

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