Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?
Answers
Answer:
(D)
Step-by-step explanation:
If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).
Answer:
D on edge
Step-by-step explanation:
Related Questions
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
Answers
Hope this helps
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]
Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4
Answers
Answer:
1 and 3; 2 and 4
Step-by-step explanation:
Supplementary angles add up to 180 degrees, which is a straight line.
we can see that angles 2 and 3 make the / line, as do 1 and 4
1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /
4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \
Can anybody help me please? it’s a major and i’m very confused.
Answers
Hey if someone could please help me with this i waould be very greatful
Answers
Answer:
40%
Step-by-step explanation:
2/5x100%=40%
5 examples of theorems in math. :")
Answers
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Theorem 2. Thales Theorem
If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.
Theorem 3. Euclid’s Theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements.
Theorem 4. Fundamental Theorem of Arithmetic
The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes.
Theorem 5. Ceva’s Theorem
Ceva's theorem is a theorem of affine geometry, in the sense that it may be stated and proved without using the concepts of angles, areas, and lengths (except for the ratio of the lengths of two line segments that are collinear). It is therefore true for triangles in any affine plane over any field.
Round The Following Number: 194,332.125
Answers
explanation
How do I make the pain go away?
Answers
Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?
Answers
Answer:
g5654
Step-by-step explanation:
You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.
If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.
Answers
Answer:
200,000 feet to dig
Step-by-step explanation:
We use a ratio for this problem
30,000 200,000,000
----------- = ---------------------
30 x
200,000,000 * 30
---------------------------- = 200,000 feet to dig
30,000
This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.
sin^2A+cos^2A=? .find the value.
Answers
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
Identify these foil solutions by using the screenshots below!
Answers
Hope it helps and is correct!
2.5 pounds of grapes cost $2.25 what is the cost per pound
Answers
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
divide the cost of the item by its weight in pounds
A motorcyclist traveled at a rate of 60 miles per hour for 3 hours, then took a break for lunch for 45 minutes. She then traveled for another amount of time at 60 miles per hour before reaching her destination. If she traveled a total of 270 miles, and left at 9:30 a.m., at what time did she arrive at her destination?
Please help:( need this ASP
Answers
Answer:
2:45 p.m.
Step-by-step explanation:
60 miles per hour for 3 hours
time: 12:30
miles driven: 180
45 minutes for lunch
time: 1:15
miles driven: 180
60 miles an hour till she hits 270
270-180=90
90 miles = 1.5 hours of driving
1.5 hours plus 1:15 = 2:45
4x-4=4x + ___
What is the answer
Answers
Answer:
-4
Step-by-step explanation:
4x - 4 = 4x + ?
-4
4x - 4 = 4x + (-4) ---> 4x - 4 = 4x - 4
done
Answer:
it should just be-4
The pool is partially filled with water. The volume of the water in the pool is 45 ft3. How deep is the
water?
A.)0.5 ft
B.)1.5 ft
C.)2.5 ft
D.)3.5 ft
Answers
C.)2.5 ft
it's just a guess
For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.
Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the same value. A. 36 divided by 3+3 and 2^2 + 2. B. -(2/3)^2 and 4/9. C. 8(-9) and - 12 - 60. D. 1+2/4 and 1 - 1/4.
Answers
Answer:
A) equal
B) equal
C) equal
D) not equal
Step-by-step explanation:
The pairs of options (A), (B), and (C) of expressions came out to be equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
We want to determine if the expressions in each answer option have the same value
A. 36 divided by 3+3 and 2^2 + 2.
⇒ 36/(3+3) =36/6 =6
⇒ 2² + 2 = 4 + 2= 6.
Here, pair of expressions that came out to be equal
B. -(2/3)^2 and 4/9.
⇒ -(2/3)² = 4/9
Here, pair of expressions that came out to be equal
C. 8(-9) and - 12 - 60.
⇒ 8(-9) = -72
⇒ - 12 - 60 = -72
Here, pair of expressions that came out to be equal
D. 1+2/4 and 1 - 1/4.
⇒ 1+2/4 = 6/4
⇒ 1 - 1/4 = 3/4
Here, the pair of expressions came out to be not equal.
Thus, the pairs of options (A), (B), and (C) of expressions came out to be equal.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
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Need help with the rule transformation
Answers
[tex]T(x,y)=(x+3,y-2)[/tex]
Hope this helps.
Answer the following question in *full sentences*
What does the equation 100+0.05p=0.25p represent?
Answers
The value of "p" will be "0.002".
Equation:According to the question,
[tex]100+0.05p=0.25p[/tex]By subtracting "0.25p" from both sides, we get
→ [tex]100+0.05p-0.25p=0.25p-0.25p[/tex]
[tex]100-0.2p=0[/tex]
[tex]100=0.2p[/tex]
[tex]p = \frac{0.2}{100}[/tex]
[tex]= 0.002[/tex]
Thus the above approach is right.
Find out more information about equation here:
https://brainly.com/question/10754087
What’s the radius of a circle with the circumference of 37.68 feet
Answers
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
pls mark as brainliest
i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one
Answers
2/8 and 7/28 both simplify to 1/4
Quantity A: 2 8
Quantity B: 7 28
2 x 3,5 = 7
8 x 3,5 = 28
Graph the image of rectangle STUV after a reflection over the line y= –x
Answers
Answer:
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Step-by-step explanation:
The image of the rectangle STUV after a reflection over the line y= –x is attached below.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)
We have to graph the image of the rectangle STUV after a reflection over the line y= –x
The points obtained after graphing ate,
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.
Learn more about the geometric transformation here:
brainly.com/question/16156895
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4. Calculate the mean of the data set {22, 34, 37, 23, 45, 21, 29, 37}. Round to the nearest tenth.
37
31.0
35.4
31.5
Answers
Answer:
31.0
Step-by-step explanation:
The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.
Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers
= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37
= 248
The mean = 248/8
= 31
(20 POINTS) PLZZZZZ HELPPPPPP
2. A diagonal shortcut across an empty
rectangular lot is 97 feet. The lot is 72
feet long. What is the other dimension of
the lot?
A 65 feet
C 120.8 feet
B 84.5 feet
D 169 feet
Answers
Answer:
65 ft (which is A)
Step-by-step explanation:
A² + B² = C²
72² + B² = 97²
B² = 4225
B = √4225
B = 65 ft
The frequency, f, in Hz, at which a simple pendulum rocks back and forth is given by 1 , 2 g f π l = where g is the strength of the gravitational field at the location of the pendulum, and l is the length of the pendulum. a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2 b. The strength of the gravitational field on the moon is about 1 6 as strong as on Earth. Find the frequency of the same pendulum on the moon.
Answers
Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answers
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes
Answers
Answer:
$44
Step-by-step explanation:
Will give Brainly! Please help!
Answers
Answer:
The answer is option c.
Hope this helps!
Find the measure......
Answers
Answer:
the answer would be S/ 2= 140/ 2 = 70°
Which postulate or theorem can be used to prove that
ABC~A ADC?
B
• SAS Congruence Postulate
•HL Congruence Theorem
• ASA Congruence Postulate
•SSS Congruence Postulate
Answers
Answer:
sSS Congruence Postulate
The answer is SSS Congruence Postulate
Step-by-step explanation:
Write the linear equation in slope-intercept form given the following:
(-3, 7) and (6, -8)
Answers
Answer:
y = - [tex]\frac{5}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)
m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then
y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 8) , then
- 8 = - 10 + c ⇒ c = - 8 + 10 = 2
y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line