Instructions: Write an equation to represent the situation and

1 answer:

3 0

Wouldn’t the answer be 48 if I’m correct because it’s talking about renting a bike for a hour and if you do the math 72-24 is 48 hours hope it’s right

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Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10

Tamiku [17]

9514 1404 393

Answer:

B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

x^2 -4x +2 = 10 . . . . . . . given

x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)

(x -2)^2 = 12 . . . . . . . . . write as a square

6 0

3 years ago

Which point on the graph is the solution to the system of linear equations? -2x=-y+4 x=-2

Elodia [21]

Answer:

The solution is (-2, 0)

Step-by-step explanation:

Re-write -2x=-y+4 x=-2 in column form:

x=-2

-2x=-y+4

Next, substitute -2 for x in the second equation:

-2(-2) = -y + 4, or:

4 = -y + 4. Thus, y must be 0.

The solution is (-2, 0)

4 0

2 years ago

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e

DENIUS [597]

Hello,

Reminders:
$$\sum_{i=1}^{n} i= \dfrac{n(n+1)}{2}$


$
$$ \sum_{i=1}^{n} i^2= \dfrac{n(n+1)}{2}$

$
$$ \sum_{i=1}^{n} i^3= \dfrac{n^2(n+1)^2}{4} $
$

$n=6\\
x_{0}=0\\
x_{n}=3\\
\Delta= \dfrac{x_n-x_0}{n}=0.5\\

$
$x_{i} =0+\Delta*i= \frac{i}{2}$

$\sum_{i=1}^{n}\ \Delta*f(x_{i})=\sum_{i=1}^{6}\ \dfrac{i^3/8-6i}{2}$
$$= \dfrac{1}{2}\sum_{i=1}^{6} (\frac{i^3}{8} -6i)=\dfrac{1}{16}*\frac{(6*7)^2}{4}- \frac{9*7}{2}= -3.9575$

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