Answer:
12. 5(5x+4)(5x-4)
13. 2(4v+5)(4v-5)
14. 5(3x+2)(3x-2)
Step-by-step explanation:
Answer: a=4, b=-8, c=-3
Step-by-step explanation: This equation isn't in standard form. To get it there, subtract -3 from both sides. This gets you an equation of 4x^2-8x-3.
The standard form is ax^2+bx+c.
A is the number before x^2 (4). B is the number before x, and since it's subtracted it's negative (-8). C is the last number, and since it's subtracted it's negative (-3).
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128
The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.
Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.
The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
Answer:
The width of the field is 3.535353535m
Step-by-step explanation:
350÷99=3.535353535
Proof: 99×3.535353535=350
This would be considered a reasonable estimate because if you were to use estimation, you can round 289 to the nearest hundred (300), which is divisible by 60. When dividing 300 / 60, you will get 5 hours, which is 0.5 greater than 4.5 therefore making it a reasonable estimate. In addition, when actually dividing 289 / 60, you will get approximately 4.8 hours, which is close to the estimate, 4.5 hours.
