Answer:
[tex]P(x)=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]
Step-by-step explanation:
Each root corresponds to a linear factor, so we can write:
[tex]P(x)=x^{2} (x-1)^{2} (x+3)\\=x^{2} (x^{2} -2x+1(x+3)\\\\=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]
Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this [tex]P(x)[/tex]
Footnote
Strictly speaking, a value of [tex]x[/tex] that results in [tex]P(x)=0[/tex] is called a root of
[tex]P(x)=0[/tex] or a zero of [tex]P(x)[/tex] . So the question should really have spoken about the zeros of [tex]P(x)[/tex] or about the roots of [tex]P(x)=0[/tex]
Why might you write the equation in
point-slope form instead of slope-intercept
form?
Step-by-step explanation:
Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.
I hope this will help you out!
The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.
We need to check why might we write the equation in point-slope form instead of slope-intercept form.
What is point-slope form?Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)
where, (x, y) is a random point on the line and m is the slope of the line.
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.
We use point-slope form with one coordinate and slope.
Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.
To learn more about the point slope form visit:
https://brainly.com/question/24436844.
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Fill in the missing number.
70% of blank equals 14
Answer:
20
Step-by-step explanation:
14/0.7
Answer:
Step-by-step explanation:
Your question: 70 percent of what number equals 14?
Step 1: Multiply both sides by 100 to get 7,000 and 1,400.
Step 2: Divide both sides by 70 to get 100 and 20.
Step 3: Put it into fraction form. [tex]\frac{20}{100}[/tex].
Step 4: Since in percentages, you typically only go up to 100, we can remove the 100 to leave us with just 20.
Step 5: We have our answer. 70% of 20 is 14.
Hope this helps! :D
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
For what value of c is the function one-to-one?
StartSet (1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c) EndSet
2
5
11
13
Answer:
13
Step-by-step explanation:
Correct on edge
The function will be one-to-one only if c = 13.
When a function is one-to-one?
A function is one-to-one if and only if each value in the range appears only once.
So, the given set will represent a one-to-one function if c takes a value that is not repeated in any of the other coordinate pairs.
We have:
(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)
For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.
If you want to learn more about functions, you can read:
https://brainly.com/question/4025726
Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =
Answer:
-12
Step-by-step explanation:
3-1/8a=1/4
Pleasseeee help
Please help
What is the measure of ∠ABC?
Answer:
180°
Step-by-step explanation:
-3p + 8 = -13
HELLLLPP
Answer:
p=-7 :)
Step-by-step explanation:
-13-8=3p
-13+(-8)=3p
-21=3p
÷3
-7=p
Answer:
p=-32
Step-by-step explanation:
if i had 350 cream puffs and got left with 30 and sold them for 1.75 how much money did i make
Answer:
52.5
Step-by-step explanation:
Hope i helped!! :D
theres 6 bags and 185 rasins how many are in each bag
Answer:
1110
Step-by-step explanation: If it was multiplication it would 1110 but you cat divide 185 by 6 so if it was 186, not 185 and you divided by 6 you would get 31 hope this helps
Please help!!!!!! :(
Answer:
Yes, it is linear
3x+y=15
Explanation:
Put the variables on opposite sides so that you have:
[tex]\frac{y}{3}[/tex]=5-x
Multiply by 3 on both sides
y=15-3x
Bring x back to y's side
3x+y=15
All done!
In triangle abc ac=8cm, line bm is a median
Answer:
In triangle ABC, centroid D is on the median line segment AM.
Step-by-step explanation:
If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.
hope i helped
Work out 4 1/2 ÷3/5 give your answer as a mixed number in its simplest form
Answer:
7 1/2
Step-by-step explanation:
yw :)
how do you solve y=x+12 y=-18
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
AH IM SO BAD AT MATHHH SORRY !
Answer: 135 degrees
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
sum of triangle angles = 180
then JLK =. 180 -(70+65) = 180 - 135 = 45
then JLK = 45
since JLM = 180
then KLM = 180 - 45 = 135
Which answer choice shows how to find 352 ÷ 16 using partial quotients? Find the quotient and the value that goes in the box in Step 2. Step 1: Subtract (20 × 16) from 352 to get 32. Step 2: Subtract (☐ × 16) from 32 to get 0. Step 3: Add to find the quotient. A. □ = 1; 352 ÷ 16 = 21 B. □ = 1; 352 ÷ 16 = 32 C. □ = 2; 352 ÷ 16 = 22 D. □ = 2; 352 ÷ 16 = 52
Partial quotient is one of the ways of dividing expressions and numbers.
The value that goes into the box is 2.The quotient is 22.The quotient is given as:
[tex]\mathbf{352 \div 16}[/tex]
The first step is:
[tex]\mathbf{352 - (20 \times 16) = 32}[/tex]
The next step is:
[tex]\mathbf{32 - ([\ ] \times 16) = 0}[/tex]
Represent the blank with x
[tex]\mathbf{32 - (x \times 16) = 0}[/tex]
So, we have:
[tex]\mathbf{32 - 16x = 0}[/tex]
Collect like terms
[tex]\mathbf{16x = 32}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 2}[/tex]
So, the value that goes into the box is 2.
The quotient is then calculated as:
[tex]\mathbf{Quotient = 20 + 2}[/tex]
[tex]\mathbf{Quotient = 22}[/tex]
Hence, the quotient is 22.
Read more about partial quotients at:
https://brainly.com/question/830526
can someone please help me as soon as possible
there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses?
Answer:
3 wear glasses
Step-by-step explanation:
10%=2
5%=1
15%=3
What is 5,000 + 5,000?
Answer:
5,000+5,000= 10000
Step-by-step explanation:
If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?
Answer:
0.070
Step-by-step explanation:
i think
75.3325 round to the tenth
Find the distance between points B and N.
Answer:
5
Step-by-step explanation:
b is at 15
n is at 10
hence -15 - -10=5
positive 5 btw
4.Which is the best buy in the following cases. a) 4pens for Rs 56 or 6pens for Rs 90 give full step of answer
Answer:
4 pens
Step-by-step explanation:
better value
find the coordinates of the midpoint of the segment whose endpoint are H(3,2) and K(9,6)
Answer:
midpoint P(6, 4)
Step-by-step explanation:
[tex] \frac{x1 + x2}{2} \\ \frac{y1 + y2}{2} [/tex]
[tex] \frac{9 + 3}{2} = 6 = x \: mid \: point \\ [/tex]
[tex] \frac{6 + 2}{2} = 4 = y \: mid \: point[/tex]
2tanx - 3cotx + 1 = 0
Answer:
475767u5yttuyy
Step-by-step explanation:
phobrovicodibfofiffivonf
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
1: C) Yes, because the last digit is 6, which is divisible by 2
2: B) Yes, because the sum of 2+1+6=9, which is divisible by 3
3: C) Yes, because the last digit of the number is 0
Step-by-step explanation:
Let's start with the first one. Is 26 divisible by 2? Yes, it is, because the last digit is 6, which is divisible by 2. To check to make sure we are right, we simply divide 26 by 2. Can it be done? Yes, 26 divided by 2 is 13, so we are right.
What about number two? Is 216 divisible by 3? Well, the rules divisiblity rules change for 3. For three, the sum of the digits of the number must be divisible by three. Do 2, 1, and 6, when added together, equal a number that is divisible by 3? Well, 2+1+6 is 9, and 9 is divisible by three, so the answer is B.
For the last one we need to check the divisibility rule for ten. The rule is that if the number ends in 0, it is divisible by 10. Does 40,100 end in a zero? Yes, so the answer is C.
i need help my freind mike hawk with his math how do i help him
Answer:
well you got to tell us what we're helping you with!
Step-by-step explanation:
Answer:
Help him understand the topic and give him a few questions to make sure he understands it then let him to do his homework and correct if something is wrong.
Step-by-step explanation:
A school gym is set up for an
assembly. There are 17 rows with 28
chairs in each row. Parents are sitting
in half the chairs, but the other half
are empty. How many chairs are empty?
Answer:
238 chairs are empty
Step-by-step explanation:
Firstly,
you'll have to times 17 by 28 to get the total chairs in the school gym
17 × 28
= 476
Next,
divide it by 2 because half of the gym???
476/2
= 238
So, the amount of the empty chairs in the school gym are 238 in total ｡◕‿◕｡
2x^2 - y^2+ xy Phân tích đa thức thành nhân tử
cihfoufiyfoffuutgjkao
8.
(a) Rowena buys and sells clothes.
(1)
She buys a jacket for $40 and sells it for $45.40.
Calculate the percentage profit.
Work Shown:
45.40 - 40 = 5.40
She made $5.40 in profit. Divide this over the original price to find the percentage profit
(5.40)/(40) = 0.135 = 13.5%