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asambeis [7]
3 years ago
12

F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.

Mathematics
1 answer:
babymother [125]3 years ago
4 0
Since its x + 3 we use -3


-3| 2      1      -8      21           (these are the # without the x)
___________________

            -6     15     -21      
-------------------------------
    2      -5      7        0               
 
Drag the 2 down, multiple it by -3 to get -6 
1+(-6) = -5. -5 * -3 =15 . 15+(-8) = 7
7*-3 = -21. -21 +21 = 0 
Since last # is 0 we have a factor.


 factor is 2x^2 -5x -7 (we start with a power 1 less the original.)

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A 6-pound container of detergent costs $4.38. what is the price per pound?
lesya692 [45]

Answer:

.73 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

4.38/ 6

.73 per pound

7 0
3 years ago
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Julli [10]

Answer:

0, 0

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4 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 less than 3 times its width. The perimeter is
My name is Ann [436]

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

8 0
2 years ago
Identify the domain and range of y = 4x - 5 + 3
Zepler [3.9K]

Answer:

\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

5 0
3 years ago
All you need is in the photo I DON'T WANT STEP BY STEP ANSWER FAST please fdsd
Brut [27]

We have the following:

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ a=5 \\ b=0 \\ c=-80 \end{gathered}

replacing:

\begin{gathered} x=\frac{-0\pm\sqrt[]{0^2-4\cdot5\cdot-80}}{2\cdot5}=\frac{\pm\sqrt[]{1600}}{10}=\frac{\pm40}{10}=\pm4 \\ x_1=4 \\ x_2=-4 \end{gathered}

6 0
9 months ago
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