Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
Answer:
B.
Step-by-step explanation:
The purpose of establishing a good credit history is to show that you are able to handle money. The higher your credit score is, the more responsible you are with money.
You can build good credit history by making payments with a credit card and repaying your purchases. It shows that if the bank were to give you a larger sum of money, you would pay it back.
As such, B is incorrect. The purpose of credit relates to purchases. A is obviously correct for this reason. C is correct because banks are likely to put less interest, as interest correlates to the score (lower credit score, higher interest). D is correct because banks allow you to obtain credit cards with better rates if your credit score is high enough.
Employers cannot determine your qualification for a job based on a credit score. Some states even prohibit this. For this reason, B is incorrect.
Answer: x = 8/5
Explanation:
5x-2 = 6
5x = 6 + 2
5x = 8
x = 8/5
Answer:
B] f(n) = 6(3)n − 1; f(5) = 486
Step-by-step explanation:
First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.
So if the relation is exponential, if we divide the y coordinates you should get the same result every time.
18 / 6 = 3
54 / 18 = 3
162 / 54 = 3
So the y value increases 3 times. That means that the next value should be 162*3 = 486.
Answer:
x = 77.8 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin40° = 50/x
- Multiply <em>x </em>on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft
