The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = [tex]\frac{mass}{volume}[/tex]
Input the parameters and solve
Density = [tex]\frac{220000}{1000}[/tex] = 220g/cm³
Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?
Answer:
4 dollars to get 1 yard
Step-by-step explanation:
Suppose you discover that your growth fund, income fund, and money market fund return
rates are better estimated at 12%, 6%, and 3% per year respectively. How should you invest
the $3200 to get a retum of $255 in one year?
Answer:−3+3=−4
2+3−=15
4−3−=19
2 3
Step 1: Pair the equations to eliminate y because the y terms are already additive inverses
1
−3+3=−4
2+3−=15
2
2+3−=15
4−3−=19
2 3 4
3 =11
5
6 −2=34
Step 2: Write the two new equations
as a system
Step 3: Substitute the value for x and z
into one of the original equations
3 =11
3 5 +2=11
4
5−3+3 −2 =−4
15+2=11
5
6 −2=34
5−3−6=−4
−3−1=−4
9x
2=−4
=−2
= 45
x = 5
−3=−3
=1
The solution (5, 1, -2)
Step-by-step explanation:
Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some snacks at a gas station. He then continues on his road trip describe the distance traveled between 10 minutes and 15 minutes
Answer: 3.33miles
Step-by-step explanation:
given data:
distance covered in first 15 minutes = 10 miles
time spent buying gas and some snacks = 10mins.
= 10/15 * (15 –10 )
= 3.33miles
jacob has traveled 3.3miles between 10 and 15 minutes.
Answer:
3.33 miles!
Step-by-step explanation:
-2 = ( 4 + z ) / -2
I need help answer fast
WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1
Step-by-step explanation:
Hey there!
Given;
[tex] {7}^{0} [/tex]
The answer would be one (1).
Reason: Anything to the power "0" is 1.
So, 7^0 is 1.
Hope it helps...
Factor 2x^3-5x^2-4x+3
Answer:
(2 x - 1) (x + 1) (x - 3)
Step-by-step explanation:
Factor the following:
2 x^3 - 5 x^2 - 4 x + 3
Hint: | Find all linear factors of 2 x^3 - 5 x^2 - 4 x + 3 via the rational root theorem. Do this by finding rational roots. The candidates are x = ± p/q for all p that are divisors of the constant term 3 and for all q that are divisors of the leading coefficient 2.
The possible rational roots of 2 x^3 - 5 x^2 - 4 x + 3 are x = ± 1/2, x = ± 3/2, x = ± 1, x = ± 3. Of these, x = 1/2, x = -1 and x = 3 are roots. This gives 2 x - 1, x + 1 and x - 3 as all factors:
Answer: (2 x - 1) (x + 1) (x - 3)
use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)
Answer:
See Below
Step-by-step explanation:
A) 3/2
B) 1
C) -1
Using the slope formula, and plugging-in values
We want to find the slopes of different lines, given that we know two points on each line.
We will get:
a) 3/2
b) 1
c) -1
Now let's see how to find the slopes.
We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using that equation we can find the slopes for this problem.
a) (1, 6) and (-3,0)
The slope will be:
[tex]a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}[/tex]
b) (7,2) and (0,-5)
The slope will be:
[tex]a = \frac{2 - (-5)}{7 - 0} = 1[/tex]
c) (-7,-3) and (-6,-4)
The slope will be:
[tex]a = \frac{-3 - (-4)}{-7 - (-6)} = -1[/tex]
If you want to learn more, you can read:
https://brainly.com/question/16180119
Factorize using middle term:
m²+3m+2
Answer:
Step-by-step explanation:
m2 + 3m + 2
m2 + m + 2m + 2
m (m + 1) + 2(m + 1)
(m + 1) and (m + 2) are the factors
What is the base in the expression 45?
4
5
9
20
the answer to your question is 4
Answer:
yeah it is 4 i got it right
Step-by-step explanation:
How to find LCM by division method
look it dinometer of last two numbers at the down and cross multiple them by the lcm
what is the anwser to the question 35−10+35−10÷5
Answer:
its 10
Step-by-step explanation:
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
plz answer 12 points
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.
Answer:
50 + 30x = 45x
Step-by-step explanation:
We are told that Susan drove 50 miles before Rick started his journey.
We are told that Susan drives at 30 miles/hr
Which means total distance by Susan for x number of hours is;
50 + 30x miles
Total distance driven by Rick for x number of hours = 45x
For Rick and Susan to be at the same point, their distance covered must be the same.
Thus;
50 + 30x = 45x
45x - 30x = 50
15x = 50
x = 50/15
x = 3.333 hours
Thus, the equation where Rick and Susan would have driven the same number of miles is;
50 + 30x = 45x
What is the measure of
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?
i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)
Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}
Answer:
It is A
Step-by-step explanation:
Help, please! ( Thank You! ). Very important!!!
Answer:
Outlier a Magee decree
Step-by-step explanation:
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps I’ll give brainliest
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
A ring is now reduced to £840.
This is a saving of 40% of the original price.
Work out the original price of the ring.
==============================================
Work Shown:
If you save 40%, then you pay 100% - 40% = 60% of the original price
final price = 60% of original price
final price = 0.60*(original price)
840 = 0.60x
0.60x = 840
x = 840/0.60
x = 1400
The ring was originally £1400 before the discount.
multiplying a number by (−1) results in its (blank)
The answer is it’s inverse.
Multiplying a number by -1 changes the sign of the number, which is the inverse of the original number.
Answer:
Makes it negative
Step-by-step explanation:
example:5 multiplied by (-1) = -5
In the notation "s(x) = ...," what does "s(X)" represent?
ОА.
There is not enough information to answer this question.
OB.
The value of s(x) depends on the value of x, since sis a function of x.
O C.
The value found when sis multiplied by the value x.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: B) The value of s(x) depends on the value of x, since s is a function of x.
It's similar to f(x) or g(x) function notation, but now we're using the letter s.
The x is the input of the function. The output is s(x). So that's why s(x) depends on x.
Combine like terms
9w-w =
can you guys help me
Answer:
Step-by-step explanation:
X<2
Alg I Trad Bench 1 Laurel MS 2020-2021 Section 1 8 of 308 of 30 Items Item 8 A taxi service charges a flat rate for the first 3 miles of service. For any additional mileage, the taxi service charges an additional rate per mile, x. The expression 10+2.50(x−3) represents the scenario.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
First 3 miles = flat rate
Subsequent miles = additional rate per mile x
Equation which represents the scenario :
10 + 2.50(x - 3)
If the amount charged by the taxi service for a certain trip is
10 + 2.50(x - 3)
Then. ;
10 = the flat rate charged for the first 3 seconds
2.50 = additional mile charge
x = total trip distance
Hence, (x - 3) = (total trip distance - first 3 miles) = additional miles traveled
Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Answer:
100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.
Explanation:
there are 5 pairs of whole numbers that multiplied together will be 100:
100 x 1 = 10050 x 2 = 10025 x 4 = 10020 x 5 = 100 10 x 10 = 100while there are only 2 pairs of whole numbers that multiplied together will be 15:
15 x 1 = 153 x 5 = 15write the sentence as an equation 253 is the product of 69 and g
Answer:
253=69g or 253=69(g)
Step-by-step explanation:
If CDEF ≅ KLMN, what are the congruent corresponding parts? A. Sides: CD¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KL¯¯¯¯¯¯,CF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯;Angles: ∠C≅∠N,∠D≅∠M,∠E≅∠K,∠F≅∠L B. Sides: CD¯¯¯¯¯¯≅KL¯¯¯¯¯¯,DE¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯;Angles: ∠C≅∠K,∠D≅∠L,∠E≅∠M,∠F≅∠N C. Side: CD¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,EF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅KL¯¯¯¯¯¯;Angles: ∠C≅∠L,∠D≅∠K,∠E≅∠N,∠F≅∠M D. Sides: CD¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯,DE¯¯¯¯¯¯≅KL¯¯¯¯¯¯,EF¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯,CF¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯;Angles: ∠C≅∠M,∠D≅∠N,∠E≅∠L,∠F≅∠K
How do you find the endpoint?
Answer:
Step-by-step explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.
Help which one is it
Answer:
addition of property of equation
Step-by-step explanation:
You have to move the -3 by adding it to both sides and since the other number is negative you get 1
Answer:
Addition property of equality