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2 years ago

I need to know how to solve this using synthetic division

Mathematics

1 answer:

kati45 [8]2 years ago

8 0

Recall, first off, you sort the terms in descending order, in this case, they already are in descending order. Then you use the coefficients. first off you drop down the first value, and take it from there,

$\bf p(x)=\underline{3} x^3\underline{-4} x^2\underline{-5} x\underline{+1}\qquad a=2\\\\\\
\begin{array}{r|rrrrrrl}
2&&3&-4&-5&1\\
&&&6&4&-2\\
-&&--&--&--&--\\
&&3&2&-1&\boxed{-1}&\impliedby remainder
\end{array}
\\\\\\
3x^2+2x-1x+\boxed{\frac{-1}{3x^3-4x^2-5x+1}}
\\\\\\
3x^2+2x-x-\frac{1}{3x^3-4x^2-5x+1}$

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The length of a rectangle is 3cm greater than its width. the perimeter of the rectangle is 34cm. find its length.

mamaluj [8]

Answer:

10cm

Step-by-step explanation:

The formula for perimeter is:

$P=2(l+w)$

Let the width of the rectangle be x then the length would be...

3+x

Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):

$34=2(x+3+x)\\34=2(2x+3)\\Distribute\ the\ 2\ to\ each\ term\ in\ the\ parentheses\\34=2(2x)+2(3)\\34=4x+6\\Subtract\ 6\ from\ both\ sides\\4x=28\\Divide\ both\ sides\ by\ 4\\x=7$

And since the length is x+3 then it is...

x+3=7+3=10cm

4 0

2 years ago

Read 2 more answers

Joanna plans on hanging 3 pictures of different sizes on the wall of her staircase. She thinks it will look best if all 3 rectan

Natasha2012 [34]

In similar figures, the ratio between corresponding sides are the same.

$\frac{25}{35}=\frac{35}{49}$

Simplify the two to see that they are equal.
The top and bottom of the left fraction are divisible by 5.
The top and bottom of the right fraction are divisible by 7.

$\frac{5}7=\frac{5}7$

Of course, the dimensions of that third picture would have to be this fraction.
Let's test these answers.

$\frac{5}6\neq\frac{5}7$ ⇒ A is not a solution

$\frac{30}{42}=\frac{5}7$ ⇒ B is the solution
(divide the top and bottom by 6)

5 0

3 years ago

two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

Lerok [7]

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

7 0

2 years ago

Is (x+4)^2 equivalent to 2x^2+8x+8? Explain or show your reasoning.

Zolol [24]

Answer:

It's wrong because the y intercepts are different

Step-by-step explanation:

The box method is OP for these kind of questions

If I don't do a good job explaining it then I reccomend you consult the internet

8 0

2 years ago

Please help don’t understand

JulijaS [17]

The angles opposite equal sides are also equal. The sum of angles in a triangle is 180. So 2x + 27 + 2x + 27 + 3x + 28 = 180.

7x + 82 = 180
7x = 98
x = 14

Now plug x into each angle to find their measures.

6 0

2 years ago