Answer:
2x + 4y = 16.
Step-by-step explanation:
14x - 7y = 8
Convert to slope-intercept form:
-7y = -14x + 8
y = 2x - 8/7
The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:
y = 1/2x + c
This line passes through the point (-2, 5) so:
5 = -1/2* (-2) + c
5 = 1 + c
c = 5 - 1 = 4
So our equation is y = -1/2x + 4.
Convert to standard from
4y = -2x + 16
2x + 4y = 16.
Answer:
10x^2 + 14x - 2
Step-by-step explanation:
So for the perimeter, you have to solve 2(7x-2) + 2(5x^2+1)
So distribute the 2s on both s we get 14x - 4 + 10x^2 + 2
This in standard form is 10x^2 + 14x - 2
✩ Answer:
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✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into:
✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into:
✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into:
✺ Add 2 to both sides:
- Turns into:
✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into:
✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into:
✺ Divide 5 by 5 to get 1:
✺ So your answer is B, 
.
(Number line is below.)
Answer:
Price for Senior Citizen = $7.61
Percent of the regular price = 85% off original
Step-by-step explanation:
Regular Price is $8.95
Seniors get 15% off of that. So, first we need to find 15% of 8.95 and then subtract it from 8.95.
To get percentage of a number, we first convert the percentage to decimal (by dividing by 100) and then multiply it with the number.
15% = 15/100 = 0.15
Fifteen Percent of 8.95 is:
0.15 * 8.95 = $1.3425
Senior Citizen Price = 8.95 - 1.3425 = $7.6075
Rounded to nearest cent = $7.61
How much is this as a percentage of original?
Simple, it is 15% off of the regular price, so this price is 100 - 15 = 85% of original price
(4^p*4^1)^3) =4^15
add the exponents
(4^(p+1))^3 = 4^15
multiply the exponents
(4^3(p+1))= 4^15
the exponents have to be the same
3(p+1) = 15
divide by 3
p+1 = 5
subtract 1
p =4
Eric is not correct
p=4
