these are the few i don't know/im not sure. pls help!
The distance from Newtown to Oldtown on the highway is (6x^2 + 2x – 2) miles. Using the back roads, the distance is (5x^2 – 8x – 6) miles. How many miles shorter is the second route?
A. 11x^2 + 10x - 8
B. -x^2 - 6x + 4
C. x^2 + 10x + 4
D. x^2 - 6x - 8
7^5 • 7^6
A. 49^30
B. 7^30
C. 49^11***
D. 7^11
Find the area of the rectangle.
top: 7x+1
right side: 8x
assuming the other sides are equal...
A. 15x + 1
B. 56x^2 + 8x
C. 56x + 8
D. 15x^2 + 9x
14^-4
A. 1/14^4
B. -56
C. 1/14
D. 1/14^-4
PLS help ASAP!!!!!
Sure, I'd be happy to help you out with these questions! Here are my humorous answers:
1. The second route is shorter by "B. -x^2 - 6x + 4" miles. So, if you're in a hurry, take the second route and save some time and gas!
2. For "7^5 • 7^6," I believe the correct answer is "C. 49^11." That's a whole lot of sevens multiplied together, it's like a jackpot!
3. To find the area of the rectangle, we multiply the length and width. So, the area would be "D. 15x^2 + 9x." This rectangle is getting quite fancy with all those variables.
4. For "14^-4," the answer is "A. 1/14^4." It's like taking a magic potion and shrinking the number down to its very tiny size. Remember, negative exponents mean an inverse, so that's a small value!
I hope these answers bring a smile to your face and help you out!
To solve these questions, I will explain the steps you can take to find the correct answer.
1. The first question asks you to calculate the difference in distance between two routes. The distances are given as polynomials. To find the difference, you need to subtract the second route's distance from the first route's distance.
Distance via highway: 6x^2 + 2x – 2
Distance via backroads: 5x^2 – 8x – 6
To find the difference, subtract the second route's distance from the first:
(6x^2 + 2x – 2) - (5x^2 – 8x – 6)
Simplify the expression:
6x^2 + 2x - 2 - 5x^2 + 8x + 6
Combine like terms:
(6x^2 - 5x^2) + (2x + 8x) + (-2 + 6)
Simplify further:
x^2 + 10x + 4
Therefore, the second route is (x^2 + 10x + 4) miles shorter.
2. The second question asks for the product of two exponential expressions: 7^5 • 7^6. To find the product, you can add the exponents since the base (7) is the same.
7^5 • 7^6 = 7^(5+6) = 7^11
Therefore, the answer is 7^11.
3. The third question asks you to find the area of a rectangle given the lengths of two adjacent sides.
The area of a rectangle is found by multiplying the length and the width. In this case, the length is given as (7x + 1) and the width is given as 8x.
Area = (length) * (width) = (7x + 1) * 8x
Apply the distributive property to multiply the two polynomials:
Area = 7x * 8x + 1 * 8x = 56x^2 + 8x
Therefore, the area of the rectangle is 56x^2 + 8x.
4. The fourth question asks you to simplify the expression 14^-4, which is a negative exponent.
A negative exponent indicates that the expression should be moved to the denominator and the exponent's absolute value should be taken.
14^-4 = 1 / 14^4
Therefore, the answer is 1/14^4.
To summarize, the answers to your questions are:
1. The second route is x^2 + 10x + 4 miles shorter.
2. The product of 7^5 • 7^6 is 7^11.
3. The area of the rectangle is 56x^2 + 8x.
4. The expression 14^-4 simplifies to 1/14^4.
1. C
2. D
3. B
4. A
thank you sooo much Kuai!!:) 100%!
Test for Polynomials and Properties of Exponents Unit Test part 1:
*pls know that these were the answers for me and may be switched up for others, so no I’m not a “liar”*
1: c- x^2+16+1
2: b- -4x^2-x+15
3: c- 2x^2-x+9
4: b: -5
5: b: m^2+2
6: a: 6x^3+7x^2-x-5
7: c: 14t+2
8: a: f8
9: b: 144^12
10: c: x^11
11: a: 4^14
12: b: 4^48
13: c: 1
14: a: 1/27
15: c: 7.2*10^11
16: a: 8.5*10^-9
17: c: 36t^6
18: c: -12x-15
19: b: -6k^4-12k^3+21k^2
20: c: -24x^3
21: a: 13y^2-11y
22: not graded yet
23: not graded yet
If I remember I will give you 22 and 23