Answer:
D. (-1, 3/2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define System</u>
4x + 2y = -1
3x + 4y = 3
<u>Step 2: Rewrite System</u>
4x + 2y = -1
- [Multiplication Property of Equality] Multiply -2 on both sides: -2(4x + 2y) = 2
- [Distributive Property] Distribute -2 on both sides: -8x - 4y = 2
<u>Step 3: Redefine Systems</u>
-8x - 4y = 2
3x + 4y = 3
<u>Step 4: Solve for </u><em><u>x</u></em>
- Combine equations: -5x = 5
- [Division Property of Equality] Divide -5 on both sides: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original Equation]: 3(-1) + 4y = 3
- Multiply: -3 + 4y = 3
- [Addition Property of Equality] Add 3 on both sides: 4y = 6
- [Division Property of Equality] Divide 4 on both sides: y = 3/2
The logarithm of a function log a = x is also expressed as 10^x = a. In this case, we are given log (x) = -0.123. Hence the equivalent function is 10^-0.123 = x; x is equal to 0.7536. the answer to this problem is 0.7536.
Answer: 22.012593
Step-by-step explanation: multiply 2.217 by 9.929 which is simple enough, and then you get 22.012593 as your answer :>
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:
where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.
So, to the nearest whole number, the area of the circle is 1385 square mm.
Answer:
$46.746
Step-by-step explanation:
Allen is buying a video that originally cost = $ 49
Discount coupon = 10%
Sales tax= 6%
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Hence, the price of video after discount coupon and sales tax= $ 49 ×
×
Price of video after discount coupon and sales tax= $ 49 × 0.9× 1.06
price of video after discount coupon and sales tax= $46.746
Hence, the correct answer is $46.746
