Using complex numbers concepts, it is found that the statement is false.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
A complex number has the format [tex]a + bi[/tex], and it's conjugate is [tex]a - bi[/tex].In this problem:
Real root -3.Complex-conjugate roots 1 + i and 1 - i.Complex root -3 + 7i.The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.
A similar problem is given at https://brainly.com/question/24450834
Can someone help me with number 8?
Rate of change = change in distance ÷ change in time
= (3126 ft - 1735 ft) ÷ (120 s - 45 s)
= 1391 ft ÷ 75 s
≈ 18.55 ft/s
∴ the rate of change is 18.55 ft/s.What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
How many times larger than 2 x 102 is 2 x 108?
Answer:
1 x 106
Step-by-step explanation:
200,000,000 divided by 200 is equal to 1,000,000
A man rented a lawn mower from 9am to 4pm and paid $288.40. What was the rental cost per hour
Answer:
$288.40/7 = $41.20
Step-by-step explanation:
Answer:
$57.68 an hour
Step-by-step explanation:
take the amount charged and divide it by the number of hours he rented it
Which is an expression that represents the horizontal side length of the triangle? Give the points(x,y) and (5,7) Lie on the line
Answer:
x - 5
Step-by-step explanation:
The x-coordinate of the left endpoint is 5.
The x-coordinate of the right endpoint is x.
length = x - 5
Jeandre said |6| equals |−6|. Is Jeandre correct? Complete the explanation.
plz help. The ratios of M&M's to skittles in the candy dish is 4 to 1. given this ratio, which two sets of candy counts are possible?
What is the answer first one to answer gets marked braniest
Answer:
15
Step-by-step explanation:
Multiples of 5 are 10, 15, 20, 25, .......
The only number shown to be a multiple of 5 is 15
On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?
A. 13.5 feet
B. 6.5 feet
C. 1.5 feet
D. 4.5 feet
Answer:
13.5
Step-by-step explanation:
4.5*3=13.5
What is the expression after applying the distributive property?
−35(−4+(−6))
Please help me!!!!!
Answer:
The answer is 350. The expression after the distributive property is 140 + 210.
Step-by-step explanation:
-35( -4 + (-6))
Distributive property is
ex.
a( b +/- c) = ab + ac
So,
-35( -4 + (-6))
= 140 + 210 (a negative times a negative is a positive ( - ) x ( - ) = ( + )
= 350
Take away five from twelve times f
Answer: you didn’t fully put the question
Step-by-step explanation:
Step-by-step explanation:
according to your question if we take away five from twelve the answer is 7
7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =
s°
30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour
Answer:
A
Step-by-step explanation:
if 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?
Answer:
N= 8
Step-by-step explanation:
Answer:
n = 8
Step-by-step explanation:
This Geometric series. r = 2 and a = 2
[tex]S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}[/tex]
n = 8
PLEASE HELP IT’S DUE TMR
Answer:
a = 5/3 (1 1/3)
b = 16/3 (5 1/3)
c = 42/5 (8 2/5)
d = 20/9 (2 2/9)
Step-by-step explanation:
Can I have brainliest pls?
Which of the following is a function equivalent
[tex]f(x) = 4 {(1.8)}^{2x} [/tex]
a.
[tex]f(x) = 4 {(3.24)}^{x} [/tex]
b.
[tex]f(x) = 4(3.24x)[/tex]
c.
[tex]f(x) = {12.96}^{x} [/tex]
d.
[tex]f(x) = {51.84}^{x} [/tex]
Answer:
The correct result would be f(x) = 4(3.24)x.
Step-by-step explanation:
Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?
At 3 hours both Jacaranda and Wiles would have the same cost
Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:
y = 12x + 40
Let z represent the total charges by wiles and x represent the number of hours. Hence:
z = 22x + 10
Since they are to have the same cost, hence:
y = z
12x + 40 = 22x + 10
10x = 30
x = 3 hours
Therefore at 3 hours both Jacaranda and Wiles would have the same cost.
Find out more at: https://brainly.com/question/13911928
PLEASE PROVIDE A PICTURE graph the solution to this system of inequalities in this coordinate plane. 3у > 2х + 12
2x +y < -5
Answer:
The double shaded region
Help ill give a brainiest to the first person who answer
Answer:
i think the answer is b Robert earned 10, which was less than twice what Eric earned
the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3
The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³
Volume of a pyramidThe volume of a pyramid is decribe as follows:
volume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
B = 5² = 25 cm²
volume of the pyramid = 1 / 3 × 25 × 7
volume of the pyramid = 175 / 3
volume of the pyramid = 58.3333333333
volume of the pyramid = 58. 33 cm³
learn more on pyramid here:https://brainly.com/question/3399922
Answer:
C. 58 1/3 cm^3
Step-by-step explanation:
Find the solution of the system of equations.
2.x + 4y = -14
– 2y = 9
Answer:
x = 4, y = -9/2 (-4.5)
Step-by-step explanation:
Using the second equation, we can divide both sides by -2 and get
y = 9/-2
y = -9/2
Then, we plug this y value into the first equation and get:
x + 4(-9/2) = -14
Simplify:
x - 18 = -14
x = 4
please help!!! thank you so much whoever does!!
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
[tex] = \frac{2}{8} [/tex]
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
Ig1000+log342........
Answer:
5.53
Step-by-step explanation:
We know that lg 1000=3.
And using the calculator, we know that lg 342=2.53
passes through (1,4) and is parallel to the line y=2x-3
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = 2
y-intercept: 4 - (2)(1) = 2
Solve for x. PLEASE GIVE EXPLAINED WORK FOR IT
Answer:
x = 9
Step-by-step explanation:
7x - 25 = 4x + 2 (vertical angles)
7x - 4x = 2 + 25
3x = 27
x = 27/3
x = 9
4(9) + 2 = 38 degrees
Please help with this math problem ASAP!! I will mark brainliest! :)
Answer:
y=4 x=6
Step-by-step explanation:
you said asap do i dont have time to explain
write the equation in slope intercept-form for the line that passes through (0,-7) and (10,3)
2. Solve x2 + 2x + 7 = 0 using the Quadratic Formula
Answer:
-1 ± i√7Step-by-step explanation:
x² + 2x + 7 = 0D = 2² - 4*7 = 4 - 56 = -52x = (-2 ± √-28)/2 = (-2 ± 2√-7)/2 = -1 ± i√7Which of the following statements must be true based on the diagram below.please help
Answer:
A: ST is a segment bisector
Step-by-step explanation:
ST is a segment bisector. Point S cuts in between segment QP. While Point T cuts between segment PO.
What is the value of x?
x= 12
x = 14
x = 22
x = 24
The answer is x = 12
Please help!!
9.(05.02)
Solve the following system of equations: (5 points)
x - 2y = 5
2x - 4y = 10
Infinitely many solutions
No solutions
(0, 0)
(5, 10)
Answer:
Infinite solutions
Step-by-step explanation:
If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.
Step-by-step explanation:
infinitely many solutions :)