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SSSSS [86.1K]
3 years ago
12

Find the remainder when f(x)=2x3-5x2+8x+4 is divided by 2x-1 and use it to determine if 2x-1 is a factor

Mathematics
1 answer:
ollegr [7]3 years ago
5 0

The remainder of f(x) = 7

Step-by-step explanation:

f(x) = 2x^{3}  - 5x^{2} +8x + 4

Here 2x - 1 is a factor.

We will apply Factor theorem ( states that if (x-a) is a factor of f(x) then f(a) is the remainder)

Putting x = 1/2 in f(x) we will get the remainder.

f(1/2) = 2(1/2)^3 -5(1/2)^2 +8(1/2) +4

=7

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Which one have is the coldest temperature negative numbers or positive numbers
aalyn [17]

Answer:

Step-by-step explanat số âm vì số âm < số dương mà nhiệt đọ càng thấp thì càng lạnhion:

6 0
3 years ago
Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 1/2 times its abscissa.
rosijanka [135]

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = -\frac{2}{5} x + \frac{19}{5}

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

3 = -\frac{2}{5} (2) + \frac{19}{5}

3 = -\frac{4}{5} + \frac{19}{5}

3 = 15/5

3 = 3

8 0
3 years ago
Solve and round answer to nearest hundredth please.
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Solve this by using natural logs.  Taking the natural log of both sides:

ln(7*16^{8x-8})=ln(3)

To undo the multiplication, we use addition:

ln(7)+ln(16)^{8x-8}=ln(3)

The rule says we can now bring the exponent down in front of the ln:

ln(7)+(8x-8)ln(16)=ln(3)

Now we will subtract ln(7) from both sides:

(8x - 8)ln(16) = ln(3) - ln(7)

Now we will divide both sides by ln(16):

8x-8=\frac{ln(3)-ln(7)}{ln(16)} then add 8 to both sides:

8x=\frac{ln(3)-ln(7)}{ln(16)}+8 which simplifies to

8x = 7.694401895 so

x = .9618002368 or, rounded,

x = .96

(Rest assured I did the math and checked the answer and it checked out perfectly!)  I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)

5 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
Alecsey [184]

<u><em>Answer:</em></u>

y^2 = 28x

<em><u>Step-by-step explanation:</u></em>

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

<em>y^2 = 28x</em>

7 0
3 years ago
Read 2 more answers
What is 17% of 350 explain
klio [65]
X = 17% of 350

17% = 17/100 = .17

Saying "of" in mathematics is like saying "multiplied by"

x = .17 * 350

x = 59.5
6 0
3 years ago
Read 2 more answers
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