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3 years ago

Use synthetic division to find the result when 3x^3-19x^2-12x-14 is divided by x−7.

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

Answer:

your look hard what grade you in

Step-by-step explanation:

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George is building a fence. One side of the yard has a row of trees that is 15 feet long. This row of trees will serve as part o

Mariana [72]

It should be 11, yes. Sounds like simple subtraction

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3 years ago

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at

aksik [14]

The formula for the area of a triangle is
$A=\frac{1}{2}bh$
$\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})$

We are given:
$\frac{dh}{dt}=2$
$\frac{dA}{dt}=4.5$
$h=9.5$
$A=92$

Plug in:
$4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})$
We can find $b$ with:
$A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}$
So $4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})$
$\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}$
$\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}$
$\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130$

So the base is decreasing at a rate of 3.130 cm/minute.

6 0

3 years ago

The graph of f(x) shown below had the same shape as the graph of g(x)=x2 but is shifted up by 3 units

Amiraneli [1.4K]

If the graph has exactly the same shape, and just moved up 3 units,

the equation of this new graph is

f(x) = x² + 3

7 0

3 years ago

Bailey rolls a pair of dice 12 times, and the sum of 6 came up 5 times to calculate the experimental and theoretical probabiliti

mel-nik [20]

Answers:

Experimental probability = 5/12

Theoretical probability = 5/36

========================================================

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

----------------------------

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

1+5 = 6
2+4 = 6
3+3 = 6
4+2 = 6
5+1 = 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

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2 years ago

Consider the following conditional statement:

damaskus [11]

Answer:

A is your answer bwttwwwwwww

Step-by-step explanation:

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3 years ago