R(x) is a polynomial of degree 7, so it has up to 7 distinct complex roots r₁, ..., r₇, and we can write it in terms of these roots as
R(x) = (x - r₁) (x - r₂) ... (x - r₇)
The coefficients of R(x) are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if a + b i is a root, then is a - b i is also a root.
(a) We're told that -5 - 3i and 2i are roots to R(x), so we also know that -5 + 3i and -2i are roots.
There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either
(b) at most 3 real roots, or
(c) at most 2 non-real roots and 1 real root.
3 to the power of 4 divided by 3 to the power of 9 all simplified expressions
Answer:243
Step-by-step explanation:
The simplified value of [tex]3^4[/tex]/[tex]3^9[/tex] is 1/ [tex]3^5[/tex].
what are exponents and power?Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements.
Some laws are
[tex]a^0= 1[/tex][tex]a^m . a^n = a^{m+n[/tex][tex]a^m/ a^n = a^{m-n}[/tex]Given:
3 to the power of 4 divided by 3 to the power of 9
Writing into expression
[tex]3^4[/tex]/[tex]3^9[/tex]
Now, using law of exponents
[tex]a^m/ a^n = a^{m-n}[/tex]
So, [tex]3^4[/tex]/[tex]3^9[/tex]
=[tex]3^{4-9}[/tex]
= [tex]3^{-5[/tex]
=1/ [tex]3^5[/tex]
Hence, the simplified value is 1/ [tex]3^5[/tex].
Learn more about exponents here:
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Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
Mark for review (Will be highlighted on the review page)
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Answer:
C. 3
Step-by-step explanation:
3 x 5 = 15, 15 + 2 = 17 :)
So far this month Raul calculated that he will earn $30 in commission for his $200 in product sales. If Raul would like for his commission to be $132, how much MORE does he need in sales?
a. $102
b. $880
c. $588
D. 680
Answer:
D. 680
Step-by-step explanation:
Is the relationship for Camille’s puppies weight in terms of linear or nonlinear
Answer:
linear
Step-by-step explanation:
Where is the picture for this problem???
Answer:
Camille's is linear
Step-by-step explanation:
The weight for Camille's puppy increases in a constant rate(the puppy gains .5 pound per week, every week).
Amit's puppy is non-linear. Observe the table
X 1 2 3 4 5 6 7 8 9 10
Y 4 6 8 12 16 20 22 24 28 32
weeks start out with constant + 2 changes, then at week 3-4 the puppy gains a +4 (no longer linear - your line is no longer straight)
Olivia's puppy is linear
Convert 1100111 from binary to hexadecimal
Answer:
67
Step-by-step explanation:
This is my question it is in the screen shot please help me.
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs
Amber is an engineer designing a suspension bridge. She has a tower at each end of the bridge that will hang four diagonal cables. Her design is shown. Explain the process she should use to determine the lengths of her cables. Use complete sentences.
Answer
she should find the length from where the tower begins to where the cable touches the ground, and use that number to be leg B, with the hight of the tower being constant and being leg A. then she uses the two numbers to find the hypotenuse of the new triangle. Repeat this with the other 3 cables and you have the answer! (Note: leg A's length will remain constant, but leg B's length will not because it is reliant on how far away the cables contact the ground in relation to the tower.)
Step-by-step explanation:
Hope tis helps :)
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 caloriesPlease help me!!!As exponential growth function is
A. A line that a function approaches but does not touch or cross
B. A function with air base that is between zero and one
C. A function with a base greater than one
D. A function with a coefficient greater than 1
Answer:C
Step-by-step explanation:
You purchased 8 tickets to Six Flags. The total cost of the 8 tickets was 279.92.
How much does each ticket cost?
Answer:
20 dollars
Step-by-step explanation:
How can you use regrouping to solve the equation 32-5 =
Answer:
-5+32=27
Step-by-step explanation:
-5+32=27
Hope I helped!
Answer: 27
Step-by-step explanation:
you cross out the 3, taking 1 away, turning that 3 to a 2, then crossing out that 2 in 32, you get 12 by adding the 1 with the 2, if that makes sense (I haven't done regrouping in a while) 12-5 is 7, and then the 3, thats now a 2 in 32, 2-0= 2, so you'd result with 27 (if that makes sense at all, I hope it did)
Is 11/10 a rational number?
Answer:
Yes!
Step-by-step explanation:
You can change 11/10 to 1.1 meaning it is!
(There is a website called "Mathisfun.com" In the rational number section that is a great place to look if you need help)
A ladder rest against a vertical wall .if the top of the ladder is 6m from the foot of the wall and the ladder makes 36° with the ground find the length of the ladder
Answer:
10.21 m
Step-by-step explanation:
|\
| \
| \ L
6 m | \
| \
| 36 deg \
|-------------------------\
For the 36-deg angle, 6 m is the opposite leg. L is the hypotenuse. The trig ratio that relates the opposite leg to the hypotenuse is the sine.
[tex] \sin A = \dfrac{opp}{hyp} [/tex]
[tex] \sin 36^\circ = \dfrac{6~m}{L} [/tex]
[tex] L = \dfrac{6~m}{\sin 36^\circ} [/tex]
[tex] L = 10.21~m[/tex]
110 degree 70 degree x=[?]
I need help ASAP
Choose the following equations that are TRUE:
A 4+4+4= 3 x 4
B 4-3 = -43
C (43)* = 412
D 4² (44) = 47
E 4° = 0
1
וד
(
43
= 4-3
G 4 x 4 x 4 = 42
a is correct
Step-by-step explanation:
a 12=12
if we add4 three times then answer =12 and if do 3×4 then answer is also 12
please helppp!!!!!!!
Answer:
66
Step-by-step explanation:
Use the figure to find the measure of
the angle. Explain your reasoning.
1. ∠4
2. ∠5
3. ∠8
4. ∠6
Answer:
1. ∠4 = 152°
2. ∠5 = 152°
3. ∠8 = 152°
4. ∠6 = 28°
Step-by-step explanation:
1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.
2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°
3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°
4. ∠6 and <8 are a linear pair. Therefore,
m∠6 + m∠8 = 180°
m∠6 = 180° - m∠8
m∠6 = 180° - 152°
m∠6 = 28°
Brainliest for whoever solves first!! Ty!
Answer:
60 Daisies
Step-by-step explanation:
Answer:
?=60
Step-by-step explanation: 2x12 equal 24 and 5x12 equal 60
You start at (5, -5). You move up 4 units and down 2 units. Where do you end?
Answer:
(5, -3)
Step-by-step explanation:
if you move up four units and then down two, you're only moving up 2 units
the -5 is the y (up/down) value, so you add two to it, ending up with (5, -3)
Answer:
(5,-3)
Step-by-step explanation:
hope this helps :)
Why are post hoc test preferred over several t-test
Please help.
Solve the System of Equations by Graphing
y=4
3x+4y=4
Answer:
graph below
Step-by-step explanation:
Graph in image below
NEED HELP DESPERATELY PLEASE IT IS MULTIPLE CHOICE
What type of observation is this?
The cheese looks furry.
Answer:
This is a qualitative observation
Step-by-step explanation:
It is observing the qualities of the cheese as opposed to quantity which would include numbers or data.
C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?
Answer:
4
Step-by-step explanation:
because 2+2+2+2=8 pretty self explanatory
Answer:
13
Step-by-step explanation:
Question 1:
S = {0,1}
Is Set S closed under addition?
Why or why not?
9514 1404 393
Answer:
no; 1+1=2, a number not in the set
Step-by-step explanation:
A set is closed under addition if the addition of any two members of the set results in a member of the set.
0 + 0 = 0 . . . in the set
0 + 1 = 1 . . . in the set
1 + 0 = 1 . . . in the set
1 + 1 = 2 . . . not in the set. The set is not closed under addition.
Create equivalent ratios
If a lemonade recipe requires 2 cups of sugar for every 6
quarts of lemon juice, how many cups of sugar would be
required for 9 quarts of lemon juice?
Answer:
3
Step-by-step explanation:
6 cups require 2 cups
9 cups require-------x
Cross multiplication
9x2 = 6x
18 = 6x
x= 3
Another way to think about:
6 + half of 6 = 9
Then
2+ and half of 2 = 3
6 is 3 times more than 2
9 is 3 times bigger than 3
I need help with this geometry work , can someone help me please .
What is the answer on this one.
Answer:
On x it is 9, on y it is 37,49
Step-by-step explanation:
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars
