Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.
HELP ASAP PLEASE!
Write a rule for the sequence.
4, 8, 16, 32, ...
Start with 4, and multiply by 2 repeatedly.
Start with 4, and add 8 repeatedly.
Start with 4, and add 2 repeatedly.
Start with 2, and multiply by 4 repeatedly.
30 points. Can you please solve this?
Answer:
43 glasses with 4 fluid ounces in the last glass
Step-by-step explanation:
156+192= 348
348÷8=43 1/2 glasses 43 full glasses and 4 fl ounces leftover
Jamal and his family went to their favorite restaurant
for dinner. The cost of the dinner was $86.90. The
family used a $15.00 off coupon, which discounted from
the total cost of the dinner. Jamal left the waiter an
18% tip of the discounted bill. How much did the family
pay for dinner, including discount and tip?
$9000.00 decreased by 0.5% make sure to show your work
Answer: 8550
Step-by-step explanation:
9000(1-0.5)
9000(0.95)
8550
find the diameter of the graphed circle.
A line with a slope of -2 is written in the form y=mx+b.
what is the value of b If the line passes through the point (5,-7)?
Answer:
b = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 2 , then
y = - 2x + b ← is the partial equation
To find b substitute (5, - 7 ) into the partial equation
- 7 = - 10 + b ⇒ b = - 7 + 10 = 3
Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32
O B.1/8
O c.1/16
O
D.1/64
Answer:
C
Step-by-step explanation:
The four partners in a business decide to split the profits of their company in the ratio 2 : 3 : 3 : 5 .
If the profit one year is $26, 000, then what is the largest amount of profit received by one of the four partners?
Answer:
$10,000
Step-by-step explanation:
the profit was divided to 2+3+3+5=13 parts
the largest amount of profit
=$26,000×5/13
=$10,000
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Monique went on a hike in the hills. The table
displays the times and distances from the beginning to
the end of the hike.
If Monique hiked at a constant pace, which equation
shows the relationship between the length of the time
she hiked and the distance she hiked?
A. d= 6t
B. d = 4.8t
C. d= 12.5t
D. d= 0.087
Answer:
I believe it is A, d= 6t
It is an odd question though.
growth or decay pls answer
Answer:
exponential decay because the base is less than one
Step-by-step explanation:
NO LINKSS!!! HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?
Answer:
the answer I say would be correct would be D
can someone please help me asap ill give extra brainly points!!!
Answer:
94.20 yds
Step-by-step explanation:
C = 2 pi r
2 pi (15) = 94.20 yds
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
Answer:
1) (x+5)(x+4)
Step-by-step explanation:
Use a Pythagorean Triple to find x.
Answer:
x = 51
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
x² = 45² + 24² = 2025 + 576 = 2601 ( take the square root of both sides )
x = [tex]\sqrt{2601}[/tex] = 51
Answer:
x = 51.
Step-by-step explanation:
The triple you require is 17-15-8
We have x-45-24
- that is three times each number in the triple.
So x = 3*17 = 51.
Greg is at his house he gets in his car drives north 9.6 miles and stops at a store then he turns around and drives south 8.4 miles to his friends house how far is the friends house from Greg’s houses?
I dont know what is the missing number 6 x ? x 3 = 90
11/3 can be thought of as a whole number and a fraction.
Complete the statements below to show the number of wholes and the fractional part that make up 11/
3.
what does 2x+2y=7 equal to
The sum of Paul’s and Sam’s ages is 4 and the difference between their ages is 0. Two equations to model this situation are x + y = 4 and x - y = 0. The solution represents both of their ages. What quadrant does the solution lie in?
A.) IV
B.) II
C.) III
D.) I
Answer:
D.) |.
Step-by-step explanation:
x + y = 4
x - y = 0 Adding:
2x + y - y = 4
2x = 4
x = 2
and y = 4 - 2 = 2.
The point (2, 2) is in quadrant |
The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?
Answer:
$89.90
Step-by-step explanation:
38% corresponds to the decimal fraction 0.38.
The amount of the discount is 0.38($145), or $55.10. Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.
A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62: $89.90.
Write an equation for the line parallel to the given line that contains C.
C(1,4); y=−3x+1
Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)
Step-by-step explanation:
i will give brainiest 1!!!!!!!
What is x(5-2)(2-2)=12
Answer: No solution
x(5-2)(2-2)=12
x(3)(0)=12
Since its times by 0 the x goes away and it is
0=12
No solution
Answer:
0=12
Step-by-step explanation
(5−2)(2−2)=12
(3)(2−2)=12
A certain computer can perform a maximum number of
operations per second. If this computer is running at 25% of
the maximum and is performing 100 operations per second,
what is the maximum number of operations the computer can
perform per second?
Answer:
I believe the answer is 400 operations per second.
Step-by-step explanation:
1.2 career planning financial algebra
Needs more info about your question please
What is the value for the missing angle ??
In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men have an average height of 5 7/12 feet. What was the average height of American men 150 years ago? show your work
Answer:
5 1/4 feetStep-by-step explanation:
Average height now:
5 7/12 feetThe difference:
1/3 footAverage height 150 years ago:
5 7/12 - 1/3 = 5 + 7/12 - 4/12 =5 + 3/12 =5 + 1/4 =5 1/4 feetSolve for x
4/x = 2/7
what is the general rule of the following geometric sequence
-4; -1; -1/4
Answer:
Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.
Step-by-step explanation:
-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.
What is the value of x in the figure?
Answer:
34
Step-by-step explanation:
This is because the whole angle is a right angle and equals 90°. You subtract 56 from 90 and get 34. Hope this helped you out!!
Answer:
i am pretty sure 34 (degrees)
Step-by-step explanation:
tell me if this is wrong.