Answer: x^3 - 3x^2 + 2x
Step-by-step explanation:
Zeros 0, 1, 2
f(x)= x (x-1)(x-2)
= x (x^2 - 3x + 2)
= x^3 - 3x^2 + 2x
Find angle picture below.
Answer:
Angle M = 63
Angle N = 96
Step-by-step explanation:
By exterior angle of triangle:
Angle M + Angle N = 159
(4y+3)+(6y+6)=159
y = 15
Angle M = 4y + 3 = 4(15) + 3 = 63
Angle N = 6y + 6 = 6(15) + 6 = 96
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?
Answer:
It costs $948.60 per person
Step-by-step explanation:
When you divide 2,845.80 by 3 we get 948.6.
I hope this helps you in any way:)
What is the percent of decrease from 500,000 to 200,000?
Answer:
500,000 to 200,000 is a 60% decrease.
A water pipe has a circular cross section of radius 0.75 cm. Water flows through the pipe at a rate of 16 cm/s.
Calculate the time taken for 1 litre of water to flow through the pipe.
Step-by-step explanation:
volume of water flows through the pipe per second= π r² h = 22/7 × ( 3/4)² × 16
= 22/7 × 9/16 × 16
= 22/7 × 9
= 3.14 × 9 = 28.26 cm ³= 28.26/ 1000= 0.02826 litre
0.02826litre = 1 second
1 litre = 1 / 0.02826 = 100000/2826
= 35 .38 seconds
answer = 35.38 seconds
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you ☺️.
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
Solve for a.
√7a-10 - √2a+5=0
What is the root? If there is no root, choose none.
-1
1
3
none
Answer:
3
Step-by-step explanation:
√7a-10 - √2a+5=0
√7a-10 = √2a+5
7a-10 = 2a+5
5a = 15
a = 3
Decrease 1428g by 38.5%
Answer:
1428 (1-0.385) = 878.22
Step-by-step explanation:
Changed 19/4 into a mixed number (fraction).
Answer:
Step-by-step explanation:
Did you mean: Change 19/4 into a mixed number (fraction).
How do you turn 19/4 into a mixed number?
As an improper fraction. (numerator larger than denominator): 19/4 = 19/4
As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4
As a decimal number: 19/4 = 4.75.
As a percentage: 19/4 = 475%
4 and 3/4
16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.
What is 14 times 10 to the power of -7 in scientific notation
Answer:
Step-by-step explanation:
work backwards to find the factors from the roots then multiply the factors together. y= x² - 24x + 140
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
[tex]468 {in}^{2} [/tex]
Step-by-step explanation:
see attached image, surface area is the area of each surface added together
In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
what is 1 x 5555 + -6779 . 55555
Answer:
−376601790
Step-by-step explanation:
1
⋅
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
Answer:
it's -1,224.55555
Step-by-step explanation:
1 x 55,555 = 55,555
55,555 + -6779.55555 = -1224.55555
hope this helps...
Arrange these numbers in ascending order and then find the middle number 0.44,0.09,0.48,0.032,0.5
0.09,0.032,0,5,0.44,0.48
Three hundred new ones cost $2100. what would be the cost of 120 new ones
Answer:
840
Step-by-step explanation:
120 is 40% of 300, and 840 is 40% of 2100 is 840.
Answer:
840
Step-by-step explanation:
Can help find the answer , what the increasing interval and decreasing interval. In interval notations?
Answer:
increasing on intervals
Step-by-step explanation:
cause the intervals come from a negative 2 aNd are going upwards in which the become positive
hope I helped
Another one the last one ASAP
Answer:
13m²
Step-by-step explanation:
Area=6.5*4÷2=13
Answer:
13m
Step-by-step explanation:
1/2 × bas × perpendicular height
Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?
Answer:
12
4*3
That's the answer
find the measures of the interior angles 110 degrees
Answer:
your answer will be 35
Step-by-step explanation:
i hope that's what you're looking for
have a nice day/night
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Without calculating, predict which frame has the shorter width. Explain your reasoning.
Find the width that you predicted to be shorter.
Answer:
B, 6 inches
Step-by-step explanation:
The formula for area is width * height. If the area is the same in both times, increasing height means you must be decreasing width. B has a taller height so must have a shorter width.
7 and 1/2 = 15/2
45 / (15 / 2) = 45 * 2 / 15 = 6 inches
write the number that is 6 less then 8000
Answer:
8000-6=7994 is the required number
pls help. whats 6¹⁵÷6¹⁰=?
Answer:
6^5 or 7776
Step-by-step explanation:
When you divide exponentials you minus the exponents. 15-10=5
6^5 = 7776
Answer:
6^5 = 7776
Step-by-step explanation:
6^15 /6^10 = 6^(15-10) = 6^5 = 7776
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
please answer giving BRAINLIEST
Answer:
x=7
Step-by-step explanation:
You
Have
X-ray
Vision
YhXr
What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance
Answer:
4144
Step-by-step explanation:
hope this helps
Answer:
the answer is 4,144
Step-by-step explanation:
C The triangles in this picture are similar. Find the height of the tree.
Answer:
Please find attached pdf
Step-by-step explanation:
Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?
Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21
Given the Parameters :
Present number of members in club = 15 Expected percentage rise = 140%The projected number of members next summer can be calculated thus :
Current number × Expected percentage rise 15 × 140%15 × 1.4 = 21Therefore, Ming expects to see the number of members rise to 21 next summer.
Learn more :https://brainly.com/question/18796573
Answer:
It's 36 :)
Step-by-step explanation:
Derwin used 6 gallons of paint to paint two rooms. He used 4 gallons to paint one of the rooms. The equation g + 4 = 6 can be used to find the number of gallons g he used to paint The other room. How many gallons of paint did Derwin use to paint the other room?
Answer:
He used 2 gallons to paint the other room.
Step-by-step explanation:
g=2
Because 2+4=6
If you subtract 4 from 6 it equals 2.
Hopefully it helps.
56 = n - 33.
N = __?
30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?
Answer:
Your efficiency is 80%. N is 400
Step-by-step explanation:
I hope I helped :)
Would appreciate Brainliest ;)
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Have a lovely day and good luck with your school work!
I believe the answer is 400, 80%
have a blessed day!