Answer:
Clara's body eliminated the antibiotic at the same rate as Heidi's body.
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Answer:
1. Chloe has more money.
2. Dylan does <u>not</u> have enough money to buy 3 bags of candy.
3. Mikayla could get 4 pennies, 2 nickels, 2 dimes, and 2 quarters back in change.
Step-by-step explanation:
Penny = 1 cent
Nickel = 5 cents
Dime = 10 cents
Quarter = 25 cents
1. Chloe has 2 quarters(50 cents) and 3 dimes(30 cents). 50 + 30 = 80 cents
Haru has 5 nickels(25 cents) and 4 dimes(40 cents). 25 + 40 = 65 cents
2. If each bag costs $350(oddly enough). Dylan would need $1,050 to buy 3 bags of candy. Instead he only has $10. This means he would need $1,040 more dollars.
3. $5 - 4.16 = 84 cents in return
quarter(25) + quarter(25) + dime(10) + dime(10) + nickel(5) + nickel(5) + penny(1) + penny(1) + penny(1) + penny(1) = 84 cents
Answer: -2
Step-by-step explanation:
The lowest value for y is 3, when x=2, so (2,3) is the vertex.