Simplify using order of operations 9 divided by 3 + 4 times 3 divided by 6

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Answer:

$5$

Step-by-step explanation:

$1. \: 3 + 4 \times 3 \div 6 \\ 2. \: 3 + 12 \div 6 \\ 3. \: 3 + 2 \\ 4. \: 5$

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Joey wants to buy the new play station 4. The play station 4 costs $300 and each game costs $60. If he has $700 to spend, what i

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3 years ago

What's the full equation for this graph?

swat32

1.
Left side of a graph is a line that passes through points $A=(-1,-1)$ and $B=(1,4)$ so we can write its equation as:

$(y-y_A)=\dfrac{y_B-y_A}{x_B-x_A}(x-x_A)\\\\\\
\big(y-(-1)\big)=\dfrac{4-(-1)}{1-(-1)}\big(x-(-1)\big)\\\\\\
y+1=\dfrac{4+1}{1+1}(x+1)\\\\\\y+1=\dfrac{5}{2}(x+1)\\\\\\y+1=\dfrac{5}{2}x+\dfrac{5}{2}\\\\\\y=\dfrac{5}{2}x+\dfrac{5}{2}-1\\\\\\\boxed{y=\frac{5}{2}x+\frac{3}{2}}$

2.
Right side of a graph is a parabola with vertex $V=(3,-3)$ that passes through point $P=(1,1)$ . Its equation:

$y=a(x-x_V)^2+y_V\\\\y=a(x-3)^2+(-3)\\\\y=a(x-3)^2-3$

Substitute $x=1$ and $y=1$ to calculate parameter $a$

$1=a(1-3)^2-3\\\\1=a(-2)^2-3\\\\1=4a-3\\\\4a=4\quad|:4\\\\a=1$

and we have the equation of parabola:

$y=a(x-3)^2-3\\\\y=1\cdot(x-3)^2-3\\\\y=(x-3)^2-3\\\\y=x^2-2\cdot x\cdot3+3^2-3\\\\y=x^2-6x+9-3\\\\\boxed{y=x^2-6x+6}$

From 1. and 2. full equation for graph is:

$f(x)=\begin{cases}\dfrac{5}{2}x+\dfrac{3}{2}\qquad\text{for}\,\,\,x\ \textless \ 1\\\\x^2-6x+6\qquad\text{for}\,\,\,x\geq1\end{cases}$

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4 years ago

A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. T

klemol [59]

Answer:

The Alan's average for course is 72.65.

Step-by-step explanation:

Given that,

Each test counts as 15% of the course grade. 20% of course grade is counted term test paper. Alan has test scores of 79, 95, 89, and 81. Alan got 81 score on his term paper . Alan's final examination score = 85.

$\sum w=1$