13.
(a)
for x = 2:
for x = 5
(b)
The graph is:
(c)
Using the graph:
Using the quadratic formula:
![\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20x%3D%5Cfrac%7B-21%5Cpm%5Csqrt%5B%5D%7B21%5E2-4%28-5%29%28-10%29%7D%7D%7B2%28-5%29%7D%20%5C%5C%20x%3D%5Cfrac%7B-21%5Cpm%5Csqrt%5B%5D%7B241%7D%7D%7B-10%7D%20%5C%5C%20x%3D0.54758%20%5C%5C%20or%20%5C%5C%20x%3D3.6524%20%5Cend%7Bgathered%7D)
Answer:
3 rolls
Step-by-step explanation:
Divide 240 feet by 80 feet per roll. That equals 3.
Yes that is true because -3=3 so -3 is less
Answer:Gary made 15 baskets.
Susan made 10 baskets.
Bill made 17 baskets.
Step-by-step explanation:
Let x represent the number of baskets that Gary made.
Let y represent the number of baskets that Susan made.
Let z represent the number of baskets that Bill made.
Gary made 5 baskets than Susan this season. This means that
x = y + 5
Bill made 3 less than twice as many baskets as Susan. This means that
z = 2y - 3
Together, all three made 42 baskets. This means that
x + y + z = 42 - - - - - - - - - - 1
Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes
y + 5 + y + 2y - 3 = 42
4y + 2 = 42
4y = 42 - 2 = 40
y = 40/4 = 10
x = y + 5 = 10 + 5
x = 15
z = 2y - 3 = 2 × 10 - 3
z = 20 - 3 = 17
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
