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.
For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.
Answer:
24 right handed students
Step-by-step explanation:
1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.
2. Multiply 30 by 1/5 to get 6 left handed students in the class.
3. Take the 30 students in the class and subtract the 6 left handed students.
4. The remaining 24 students must be right handed.
Select the correct answer.
The surface area of a cube is 600 square inches. What is the area of one of its faces?
A 6 square inches
B. 36 square inches
C. 75 square inches
D. 100 square inches
Answer:
D=100 square inches
Step-by-step explanation:
Area of a square=side^2
Area of a cube=6xside^2
let the side be a
6a^2=600
a^2=600/6
a^2=100
Answer:
im on it its d
Step-by-step explanation:
Explain why 3( + 4) = 3( − 5) has no solution. Choose the best response below. I NEED THIS ASAP!!!
a. The coefficients of are the same, but the constant terms are different.
b. The coefficients of are the same, and the constant terms are same.
c. The coefficients of are different, but the constant terms are the same.
d. The coefficients of are different, and the constant terms are different.
Answer:
a. The coefficients of are the same, but the constant terms are different.
Step-by-step explanation:
it makes the most sence to me, but appoligise if I'm wrong
Can someone help me plz
Answer:
i think the answer is 7
Please help meeee I don't know this
Answer:
[tex]\boxed {m = -\frac{5}{7}}[/tex]
Step-by-step explanation:
Use the Slope Formula to determine the slope of two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
First Point: [tex](x_{1} , y_{1})[/tex]
Second Point: [tex](x_{2}, y_{2})[/tex]
-Substitute both points:
First Point: [tex](5, 11)[/tex]
Second Point: [tex](19, -1)[/tex]
[tex]m = \frac{-1 - 11}{19 - 5}[/tex]
-Solve for the slope:
[tex]m = \frac{-1 - 11}{19 - 5}[/tex]
[tex]m = \frac{-10}{14}[/tex]
[tex]\boxed {m = -\frac{5}{7}}[/tex]
Therefore, the slope is [tex]-\frac{5}{7}[/tex]
help me answer this question please
Answer:
f'(2) = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASCalculus
The definition of a derivative is "the slope of the tangent line".
Derivatives of constants are 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 2
Step 2: Find 1st Derivative
Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹Simplify: f'(x) = 6x - 4Step 3: Find tangent slope
Define: f'(x) = 6x - 4, x = 2Substitute: f'(2) = 6(2) - 4Multiply: f'(2) = 12 - 4Subtract: f'(2) = 8Step 4: Identify
f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.
Find the value of n.
9 x -1 x n = 9 x -3
Answer:
n=3
Step-by-step explanation:
9 x -1 x n = 9 x -3
-9n=-27
9n=27
n=27/9
n=3
So value of n is 3
Multiply 8674 x 678 is what
Answer:
5880972
hope it helps..
HELPPPPPPPPPP ASAP?!?!? Thank you
Answer:
48 and 96
hope it's helpful ......
Answer:
48 and 96
Step-by-step explanation: each time you multiply by 2
What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)
Answer:
Domain: {-3, -2, -1}
Range: {-3, 6}
General Formulas and Concepts:
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
Step 1: Define
(-3, 6)
(-2, -3)
(-1, 6)
Step 2: Identify x-values
x = -3, -2, -1
Step 3: Identify y-values
y = -3, 6, 6
Please answer this correctly without making mistakes
Answer:
The 2-cup bottle of insect repellent for $4.48
Step-by-step explanation:
The first would be 0.31 cents per ounce and the second is 0.28 cents per ounce.
how do u find the third side
Answer:
Square root of 49
The missing side is 7
Step-by-step explanation:
With the Pythagorean theorem.
25^2= 625
24^2= 576
Square root of 49=7
The missing side is 7
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
Three plane tickets to New York cost $2,472.If each plane ticket costs the same amount, about how much does one ticket cost?How much would the airline have to discount each ticket for the new total would be 2,400?
Answer: 824$ for each
and will have to discount 24$ for each ticket
Step-by-step explanation: 2472/3= 824
2400/3=800
824-800=24
help, I’ll give brainliest and thanks
Answer:
1/2
Step-by-step explanation:
Rise over Run... 2/4
LMC given numbers 60 and 80
240 is answer
LCM : least common factorPLZ HELP!!!this is due in 5mins
WILL GIVE BRAINLIEST...
Francine has a picture with a length 5/3 its width. She wants to enlarge the picture to have an area of 240 in2. What will the dimensions of the enlarged picture be?
w = 20 in, h = 12 in
w = 24 in, h = 10 in
w = 12 in, h = 20 in
Which transformations map the strip patterns onto itself?
Answer: D.
A horizontal translation and a glide reflection.
Determine whether the following relation represents a function.
{(-9,8), (-2,1), (-7,5), (-4,3), (-8,2)}
Answer:
yes
Step-by-step explanation:
Each input value only goes to one output value so the relation is a function
The domain isn't repetitive so it's function.
Domain of Relation is {-9,-2,-7,-5,-4,-8}. There are no same domains or repetitive so It's a function.
Michael walks 30 meters in 20 seconds. How many meters does he walk in per second?
Answer:
1.5 meters
Step-by-step explanation:
30/20 = 1.5
Answer:
1.5 meters per second.
Step-by-step explanation:
30/20=1.5
Hope I helped!
true or false ------- y-intercept is where a point crosses the x-axis
Answer:
false
Step-by-step explanation:
that would be x-intercept
5 + x + 3 + 2x = -2(4x - 15) show the work
Answer:2
Step-by-step explanation:
Which equation has the solution x=3
Answer:
6-x=3 4-x=1 96 divided by x = 32
Step-by-step explanation:
Hope this helped! If it did, please mark me as brainilest and give a shot at my 100 points homework/puzzle. Here is the link: https://brainly.com/question/19021808 Thanks!
Is (2, 2) a solution of the inequality y < 3x - 5?
Answer: it’s not a solution or C
Step-by-step explanation:
the given point is (2,2) there is a x value and a y value
so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*
2 does NOT equal to 1
Answer:
Third option, It is not a solution.
Step-by-step explanation:
Please answer this question.... You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?
Answer:
36 legs
Step-by-step explanation:
Including the chair and yourself
8 less than the length L
Answer:
L-8=?
Step-by-step explanation:
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
Answer:
No, it isn't.
Step-by-step explanation:
We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line
[tex]4x+3y=12[/tex]
We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].
In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :
[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin ( [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex] )We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]
If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :
[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]
Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]
The snow is now 52 inches deep. If this was a 77%
decrease, what was the initial depth
Answer:
29.3785310734 is the exact answer but you can estimate
Step-by-step explanation:
Let’s say the initial depth was 100%.
A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:
You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.
Answer:
I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test
Step-by-step explanation:
Jamie was working on his math homework with his friend, Kent. Jamie looked at the following problem.
−9.5 − (−8)− 6.5
He told Kent that he did not know how to subtract negative numbers. Kent said that he knew how to solve the problem using only addition. What did Kent mean by that? Explain.
Answer:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.
Step-by-step explanation:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.So, -9.5 - (-8) - 6.5 = -9.5 + 8 - 6.5I hope this helps!