For the given set of equations, the values of x = -8 and x = -2.
We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40
An Equation is an algebraic statement that shows that two quantities are equal.
For one x-value of a solution,
We equate both the given functions,
Thus, f(x) = g(x)
x² + 7x- 24 = -3x - 40
+7x + 3x -24 + 40 = 0
+10x + 16 =0
+ 8x + 2x +16 =0
x(x+8) + 2(x +8) =0
(x+8) (x+2) = 0
x = -8 and x = -2
Hence, Concluding, we have x = -8 and x = -2
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Well we first need to add up all the purchases, 2 sandwiches are 6.86 each so by multiplying that we get 13.72. Next are the burgers, 3.44 x 4 is 13.76. We don’t need to multiply fries since there’s only one, so that’s just 3.19. Finally there are 4 drinks for 1.52 which gives us 6.08. We need to add these prices all together to get the total. 13.72 + 13.76 + 3.19 + 6.08 = 36.75. In order to find ten percent we multiply 36.75 by .10 which gives us 3.675. Double of 3.675 is 7.35. The price 13.72 (14 rounded) needs to be added with the tax 3.675 (4 rounded) and once again add 7.35. All together we get 25. Are there no other answer choices? Unless I did something wrong I’m sure this is right
Answer:
The greatest number of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5
Step-by-step explanation:
Let
x ---->the greatest number of boxes of raspberries that Andrea can buy
y ---->the greatest number of bunches of bananas that Andrea can buy
we know that
---> sales tax

----> equation A
----> inequality B
substitute equation A in the inequality B
![1.08[2.50(\frac{7}{5}y)+3.00y]\leq 135](https://tex.z-dn.net/?f=1.08%5B2.50%28%5Cfrac%7B7%7D%7B5%7Dy%29%2B3.00y%5D%5Cleq%20135)
solve for y
Multiply by 5 both sides to remove the fraction



so
The maximum value of y is 19
Find the value of x
replace the value of y in equation A until you get an integer value that satisfies the ratio 7:5
For y=19


For y=18


For y=17


For y=16


For y=15


therefore
The greatest number of of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5
<u><em>Verify the inequality B</em></u>
![1.08[2.50(21)+3.00(15)]\leq 135](https://tex.z-dn.net/?f=1.08%5B2.50%2821%29%2B3.00%2815%29%5D%5Cleq%20135)
![1.08[52.5+45]\leq 135](https://tex.z-dn.net/?f=1.08%5B52.5%2B45%5D%5Cleq%20135)
----> is true
Answer:
Joe saved 68.25
Step-by-step explanation:
Subtract 6.85 from 80, you get 73.15
Subtract 5.50 from 73.15 and you get 67.65.
Subtract 21.40 from 67.65 and you get 46.25.
Add 22 to that amount, you get 68.25.
P.S
Have an Amazing Day! I Hope this Helps and Good Luck!!
<em><u>~Faker/Tosrel</u></em>