1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mr_godi [17]
3 years ago
7

Please help! Thanks in advance.

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
You might be interested in
What is the first step in constructing an inscribed circle inside triangle XYZ?
Tasya [4]

Answer:

Construct the angle bisector of angle Y

Step-by-step explanation:

-An inscribed circle is defined as the largest circle that can be drawn within the boundaries of a plane figure.

-The first step in constructing an inscribed circle is to bisect any two angles of the plane figure, triangle in this case, as there intersection point will form the circle's center.

=>Hence, the first step is Construct the angle bisector of angle Y or Z or X( whichever you decide on).

6 0
3 years ago
Please help! Will give brainliest to correct answer! (1/3) - 50 POINTS - please no wrong answers.
astraxan [27]

Answer:

( 6, pi/6)

Step-by-step explanation:

( 3 sqrt(3), 3)

To get r we use x^2 + y ^2 = r^2

( 3 sqrt(3) )^2 + 3^2 = r^2

9 *3 +9 = r^2

27+9 = r^2

36 = r^2

Taking the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

Now we need to find theta

tan theta = y/x

tan theta = 3 / 3 sqrt(3)

tan theta = 1/ sqrt(3)

Taking the inverse tan of each side

tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))

theta = pi /6

7 0
3 years ago
Read 2 more answers
Brandi needs to wrap a birthday present for her friend's party. Each side length is 16.7 in. What is the minimum amount of paper
tester [92]
A box has 6 sides so you multiply 16.7 and 6 and you’ll get 100.2
ANSWER IS 100.2in
3 0
3 years ago
The smartest person can only help with the method please help <br> 3 1/4 divided by 2
nevsk [136]

Answer:

13/8 = 1 5/8

Step-by-step explanation:

first make 3 1/4 into an improper fraction

3 1/4 = (3*4+1)/4 = 13/4

13/4 /2

we know that dividing by a number is multiplying by its reciprocal, so

(13/4)/2 = 13/4 * (1/2)

multiply the numerators together, and multiply the denominators together

13/4 * (1/2) = (13*1)/(4*2) = 13/8 = 1 5/8

6 0
3 years ago
3 units to the left of 0
Ket [755]
-3...idk what your asking...but on a number line, 3 places to the left of zero is negative three
4 0
3 years ago
Other questions:
  • A coin-operated machine sells plastic rings. It contains 6 yellow rings, 11 blue rings, 15 green rings, and 3 black rings. Sarah
    5·2 answers
  • The graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A
    11·1 answer
  • Which statement is true?
    14·1 answer
  • What does this math problem solve? 1982x6578=_____
    14·2 answers
  • Find the height of the cylinder
    5·1 answer
  • How do you solve this <br> 21 = 14 + 7x
    7·1 answer
  • What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
    14·2 answers
  • A. simplify and factor the following expression
    11·2 answers
  • Given (x – 7)2 = 36, select the values of x.
    6·1 answer
  • 1) 3 = x + 13I need help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!