Answer:
3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
Answer:
<em>f(x)=x²-3x-10</em>
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
Answer:
7 horses and 8 chickens
Step-by-step explanation:
To solve this, first you would need to list out all of the available ratios. Then, find out how many legs are in each option.:
14 horses and 1 chicken = 58 legs
13 horses and 2 chickens = 56 legs
12 horses and 3 chickens = etc.
11 horses and 4 chickens
10 horses and 5 chickens
9 horses and 6 chickens
8 horses and 7 chickens
7 horses and 8 chickens = 44 legs!
6 horses and 9 chickens
5 horses and 10 chickens
4 horses and 11 chickens
3 horses and 12 chickens
2 horses and 13 chickens
1 horses and 14 chickens
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = 
tan60° = 
= 
= ( multiply both sides by )
x = 3
