Given:
A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.
To find:
The polynomial function in factored form.
Solution:
If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.
If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.
It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.
It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.
Now, the required polynomial is:
[tex]P(x)=(x+2)(x-4)^2[/tex]
Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].
Witch is the net for the figure shown?
What type of graph is best to use to show data that are parts of a whole?
Answer:
Pie charts
Step-by-step explanation:
A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Someone help me! I have a pic down below.
How do you find the area of a circle???
Pls help I’ll give brainlest
the answer is 40 yards. hfjjfnfhcnfnc
I WILL GIVE BRAINLIEST PLEASE
Answer:
the answers are pi/6 and radius. hence the statement should read as
the length of the arc intercepted by third central angle is pi/6 times the length of the radius.
Question 16 of 20
To the nearest hundredth, what is the circumference of a circle with a radius
of 7 units?
A. 43.98 units
B. 21.99 units
C. 35.75 units
D. 153.94 units
Answer:
43.98
Step-by-step explanation:
The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
Given that the radius of the circle is 7 units, we can substitute this value into the formula:
To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.
C = 2π(7) = 14π
Use the approximation π ≈ 3.14:
C ≈ 14(3.14) = 43.96
Rounding this value to the nearest hundredth, we get approximately 43.98 units.
Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ7
how many puppies were rescued 12x+3=
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Can some help with this Math question .?
No linksss
Answer:
I think ir is 2 -2
Step-by-step explanation:
hope it helps
What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
the correct answer is 32
Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None
Answer:
SAS
Step-by-step explanation:
PLEASE HELP QUICK ITS TIMED
Dawson has 3 more tokens than twice the number of tokens that Rachel has. Dawson has
21 tokens. What is the total number of tokens Rachel has?
Answer:
9
Step-by-step explanation:
I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.
Answer:
9 divided by 21
Step-by-step explanation:
17
MATH PLEASE HELP ! PLEASE
Answer:
wait I am solving this
Step-by-step explanation:
mark it as the brainliest to get the answer
Box A is 12 ounces and cost 1.92 box B is 18 ounces and cost 3.42 which box will give Micah more for her money and by how much?
Answer:
box b 0.03
Step-by-step explanation:
i divided and got 1 ounces each
Helppp math help !!!!!!
Step-by-step explanation:
it should be x= -3 and x= 1
please provide a answer
Answer:
uhh, look it up
Step-by-step explanation:
HELP PLSS
Write the percent as a fraction and as a decimal.
3/15%
Answer:
0.2% and 1/5%
Step-by-step explanation:
Hope this helps
Answer:
0.2% is the answer as decimal.
3/15/100
3/15*1/100
3/1500
1/500( as fraction)
Step-by-step explanation:
Mr. Olen is looking at the drawings of two proportional city lots. One of the dimensions of Lot B is not readable. How many square feet are in Lot B?
325,000 square feet
75,000 square feet
135,000 square feet
202,000 square feet
NO LINKS
Answer:
nfdsBFS>BFBms?FBsbn
Step-by-step explanation:vkhgv
SFsASFWWFmreweebwfjfeWBEfeb
What is that number in scientific notation form??
Answer:
D. 3.7 × 10⁶
Step-by-step explanation:
3.7 × 10⁶
3700000
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU
Answer:
-2 2/5
Step-by-step explanation:
Hugo has a brother and sister. Hugo is x years old. •
His sister Jasmine is 3 years older than Hugo •
His brother Manny is 2 years older than Jasmine.
Which expression represents the sum of the ages of Hugo and his two siblings?
x + 5
X + 8
3r + 5
3x + 8
pls help due soon
Answ
3xmas8
-------------------------------
listo
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer
Answer:
37.5 meters
Step-by-step explanation:
depth of well : hours of digging
it dug to a point of -50 Meters in one day
= 50 meters : 24 hours
After 18 hours at how many meters would the rig
Let
x = depth that will be rigged
depth of well : hours of digging
= x meters : 18 hours
Equate the ratios
50 meters : 24 hours = x meters : 18 hours
50/24 = x/18
50 * 18 = 24 * x
900 = 24x
x = 900/24
x = 37.5
x = depth that will be rigged = 37.5 meters
The height of a refrigerator would be about?
A. 7 inches
B. 7 feet
C. 7 yards
D. 7 miles
Answer:
i think its b) 7 feet
Step-by-step explanation:
The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of and b? If explanation given properly will give BRAINLIEST!!!
a) b-a=10, a=3b+4
b) a-b=10, b=3a+4
c) a/b=10, a=3b+4
d) a-b=10, a=3b+4
e) b-a=10, 3b=a+4
Answer:
d)
Step-by-step explanation:
a - b = 10
a = 4 + 3b
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
find the equation of the parabola with its focus at (5,0) and it’s directrix y=2
Answer:
Option A
Step-by-step explanation:
From the question given in the picture attached,
Directrix of the parabola → y = 2
Focus of the parabola → (-5, 0)
Since, focus is below the directrix, parabola will open open downwards.
Equation of the parabola will be in the form of,
y - k = -4p(x - h)²
Here, (h, k) is the vertex of the parabola
p = Distance between vertex and focus or distance between vertex and directrix
Since, distance between vertex and focus = Distance between vertex and directrix
Therefore, vertex of the parabola → (-5, 1)
Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit
By substituting these values in the equation,
y - 1 = -4(1)[x - (-5)]²
y - 1 = -4(x + 5)²
y = -4(x + 5)² + 1
Option A will be the answer.
A bank makes a profit of 20 million euro. The bank pays 500 thousand euro in tax. What percentage of the profit is paid in tax?
Answer:
2.5%
Step-by-step explanation:
Given data
Profit = Euro 20,000,000
Tax paid= Euro 500,000
The percentage tax paid is
% Tax= Tax paid/Profit*100
% Tax= 500,000/20,000,000*100
% Tax=0.025*100
% Tax=2.5
Hence the percentage tax paid is 2.5%