Answer:
The maximum number of quarters that he could have is 13
Step-by-step explanation:
Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then
→ x + 10 >= 20
→ x >= 10 (1)
His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.
→ (x * 25) + (10 * 10) <= (4.25 * 100)
→ 25x + 100 <= 425
→ 25x <= 325
→ x <= 13 (2)
If we combine the equation 1 and 2:
10 <= x <= 13
The maximum value of x is 13
The large triangle is 3 times the size of the similar smaller triangle, so
.. x = 3*8 in = 24 in
Answer: A. top 0 bottom 6 b. top 0 bottom 0
Step-by-step explanation:
Answer:
<h2>5(11 + 7)</h2>
Step-by-step explanation:
55 = 5 · 11
35 = 5 · 7
GCF(55, 35) = 5
The distributive property <em>a(b + c) = ab + ac</em>
Therefore
55 + 35 = 5 · 11 + 5 · 7 = 5 · (11 + 7)
Answer:
- C. f(x) = x³ + 10x² + 7x - 18
Step-by-step explanation:
If the function has a factor of x + 9, then the function will have a zero output at x = -9
<u>Lets verify:</u>
- A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, No
- B. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 = -9, No
- C. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, Yes
- D. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No
