Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.
Answers
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
Related Questions
Multiply (x+6) to (x^2 - 7x + 12)
Answers
Answer:
x³- x²- 30x + 72
Step-by-step explanation:
this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)
hope this helps
Choose True or False for each equation for x = 6.
Answers
1 = False (6x6 = 36)
2 = True ( 6 + 5 = 11)
3 = True ( 6/2 = 3)
4 = True (17 - 6 = 11)
Answer:
false
true
true
true
Step-by-step explanation:
what is the greatest common multiple of 96,48,84
Answers
Answer: 12
Step-by-step explanation: 96-84=12
I dont really know how i did it I just did.
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answers
Answer:
13
Step-by-step explanation:
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answers
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.
1.
A. 4.4%
B. 104.1%
C. 4.2%
D. 0.042%
Answers
Answer:
D. 0.042%
Step-by-step explanation:
YOUR ANSWER
Graphical form: T%2Ahef%2Aor%2Amu%2Alar=A%5EP-1g%2Aiv%2Aest%2Ahei%2Ant%2Aer%2Aes%2Atr%2Aat%2Aer simplifies to T%2Ahef%2Aor%2Amu%2Alar-A%5EP%2Bg%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat=0
Text form: T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er simplifies to T*hef*or*mu*lar-A^P+g*iv*est*hei*nt*er^2*es*tr*at=0
Cartoon (animation) form:
For tutors: simplify_cartoon( T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er )
If you have a website, here's a link to this solution.
DETAILED EXPLANATION
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes T%2Ahef%2Aor%2Amu%2Alar=A%5EP-g%2Aiv%2Aest%2Ahei%2Ant%2Aer%2Aes%2Atr%2Aat%2Aer.
Look at .
Reduce similar several occurrences of highlight_red%28+er+%29 to highlight_green%28+er%5E2+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-A%5EP+%29,highlight_green%28+g%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat+%29
It becomes .
Result: T%2Ahef%2Aor%2Amu%2Alar-A%5EP%2Bg%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat=0
i am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?
A-2
B-3
C-4
D-5
Answers
Answer:
B. 3
Step-by-step explanation:
Let's make an equation for this. Our unknown number is x.
x
We are adding 4.
x + 4
Then multiplying by 5.
(x + 4) • 5
It will equal 35.
(x + 4) • 5 = 35
To solve this, divide both sides by 5.
(x + 4) = 7
Now subtract 4 from both sides.
x = 3
This is your answer.
Check this by plugging it back into our original equation.
(x + 4) • 5 = 35
(3 + 4) • 5 = 35
7 • 5 = 35
35 = 35
Your answer is correct.
Hope this helps!
The following triangle is equilaterial triangle. Solve for the unknown variable.
Answers
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
A painter is building scaffolding to paint the ceiling of a tall building. Each section of scaffolding is in the shape of a rectangle and measures 8 feet wide by 17 feet long. The painter uses metal piping along the diagonal to secure the scaffolding. Which measurement is closest to the length of the diagonal piping?
Answers
Answer:
18.79
Step-by-step explanation:
. The coordinates of a rectangle are (4,2), (4,-3), (-2, -3) and (-2, 2). In square units, what is the area of this rectangle? units
Answers
Answer:
24 units^2. :)
CAN YOU PLS HELPS ME AND NO LINKS ALOUD.....PLS HELPS ME I WIL GIVE CROWN
Answers
Answer:
I'd say the first one, it is most common for states to have four or fewer roller skating rinks.
Have a lovely day/night! <3
If anyone can help I would really appreciate it!
Answers
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answers
Answer:
750 ft
Step-by-step explanation:
The measure of one interior angle of a parallelogram is 5 times the measure
of another angle. What's the measurement of the larger interior angle?
Answers
Answer:
Step-by-step explanation:
The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)
a+5a=180
6a=180
a=30
The larger angle is 5a so the larger angle is
5(30)=150 degrees.
100 POINTS, MAHNIFIA PLEASE ANSWER!
SCAMMERS WILL NOT BE TOLERATED!
Answers
Answer:
- 3.4(21) = - 71.4
(- 2.3)(- 7.9) = 18.17
9.24 ÷ - 7 = -1.32
(- 8.5) ÷ (- 3.4) = 2.5
- 6.85 ÷ 0.5 = - 13.7
please help on both!! will give brainliest.
Answers
Answer:
6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x
Step-by-step explanation:
For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.
(there's an error in this question)
As for question 6,
a) with coordinate (x,y) = (-2,7)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(-2,7) ➡️ (x2,y2) then,
m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -7/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −7/2 (x-0)
If we simplify this, we simply get
y = −7/2 x ← This is our equation for coordinate (-2,7)
b) with coordinate (x,y) = (2,-1)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -1/2 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −1/2 (x-0)
If we simplify this, we simply get
y = −1/2 x ← This is our equation for coordinate (2,-1)
c) with coordinate (x,y) = (4,-5)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -5/4 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −5/4 (x-0)
If we simplify this, we simply get
y = −5/4 x ← This is our equation for coordinate (4,-5)
d) with coordinate (x,y) = (10,-17)
1. To find the equation of a line or gradient,
first find the slope via the formula: -> m = (y2-y1/x2-x1)
If we let (0,0) ➡️ (x1,y1) and
(2,-1) ➡️ (x2,y2) then,
m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient
Now that we have found the slope we can find the equation via the point-slope formula:
(y−y1) = m(x−x1) ;
2. Substituting the slope = -17/10 for
m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)
Thus,
y−0 = −17/10 (x-0)
If we simplify this, we simply get
y = −17/10 x ← This is our equation for coordinate (10,-17)
A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways
Answers
Answer:
5/2
5 : 2
5 to 2
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answers
Answer:
0
Step-by-step explanation: i did the lesson
plssssssssssssssssssssssssssss
Answers
Answer:
D) 2275
Step-by-step explanation:
asap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answers
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answers
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
need help ASAP !!!
[tex] \sqrt{2563 \times 2563} [/tex]
Answers
Answer:
√{2563×2563}=√2563²=±2563
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
Answers
2x+9x-30=14
11x=44
x=4
y=3(4)-10
y=2
how many times can 10 go into 111?
Answers
Answer:
11 times
Step-by-step explanation:
hope this helps
Answer:
11.
Step-by-step explanation:
10 x 10 = 100
10 x 11 = 110
10 x 12 = 120 which is too much so its the one above.
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answers
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level. What was the change in her elevation?
Answers
Answer:
18 feet
Step-by-step explanation:
52 - 34 = 18
Answer:
18
Step-by-step explanation:
52 - 34 = 18 because she went 34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is negative -34 + 52 = 18
$800 invested at 5.25% simple interest for 4 yrs.
Answers
Answer:
14 dollars.
Step-by-step explanation:
With annual interest rate, 5.25 interest rate is $14.00
Answer:
$968
Step-by-step explanation:
800 × 0.0525 × 4 = 168 (interest)
168 + 800 = 968 (total)
Select the graph that correctly represents the
armount of money. y. Jack earns doing
chores for x hours at $2 an hour if he works
for a maximum of 8 hours.
Answers
Answer: C
Step-by-step explanation: Because 2 times 1= 2 2times 2=4 2 times 3=6 etc...
Hallllp!!!! please!!!!!!! I will give brainliest!!!!