So she earned $34 in 4 hours, meaning she was earning at the rate of 34/4 or $8.5/hour. Is she works for 10 hours at the same rate, it would be 8.5 x 10 = $85. B is the correct proportion.
Answer:
Step-by-step explanation:
Left
When a square = a linear, always expand the squared expression.
x^2 - 2x + 1 = 3x - 5 Subtract 3x from both sides
x^2 - 2x - 3x + 1 = -5
x^2 - 5x +1 = - 5 Add 5 to both sides
x^2 - 5x + 1 + 5 = -5 + 5
x^2 - 5x + 6 = 0
This factors
(x - 2)(x - 3)
So one solution is x = 2 and the other is x = 3
Second from the Left
i = sqrt(-1)
i^2 = - 1
i^4 = (i^2)(i^2)
i^4 = - 1 * -1
i^4 = 1
16(i^4) - 8(i^2) + 4
16(1) - 8(-1) + 4
16 + 8 + 4
28
Second from the Right
This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.
12 = 8a + b
<u>17 = 12a + b Subtract</u>
-5 = - 4a
a = - 5/-4 = 1.25
12 = 8*1.25 + b
12 = 10 + b
b = 12 - 10
b = 2
Now they want a + b
a + b = 1.25 + 2 = 3.25
Right
One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.
(2x - 2)^2 = 4x^2 - 8x + 4
4x^2 - 8x + 4 - 2x + 2
4x^2 - 10x + 6 The problem is factoring since neither of the first two equations work.
(2x - 2)(2x - 3) This is correct.
So the answer is D
If you would like to know which is the most reasonable goal for Kirk and his family to plan to save, you can calculate this using the following steps:
a. $225 a month * 2 years * 12 months = 225 * 2 * 12 = $5400
b. $200 a month * 3 years * 12 months = 200 * 3 * 12 = $7200
c. $100 a month * 4 years * 12 months = 100 * 4 * 12 = $4800
d. $75 a month * 5 years * 12 months = 75 * 5 * 12 = $4500
The most reasonable goal to plan to save would be goal b, because $7200 is more than <span>$6845.</span>
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>
Hello! The answer to your question would be as followed:
20 / (3 * (20 - 3))
20 / (3 * 17!)
20 * 19 * 18 * 17 / (6 * 17)
20 * 19 * 18 / 6
20 * 19 * 3
20 * 57 =
1140