The statement 'A polynomial function having degree 6 and only real coefficients may have no real zeros' is false.
A polynomial function having degree 6 and only real coefficients must have at least one real zero. This is known as the Fundamental Theorem of Algebra, which states that a polynomial function of degree n has exactly n complex zeros, counting multiplicity.
Since the polynomial function has only real coefficients, the complex zeros must occur in conjugate pairs. Therefore, if there are no complex zeros (i.e., all zeros are real), then the polynomial function has a total of n real zeros.
Hence, a polynomial function of degree 6 and only real coefficients cannot have no real zeros.
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Janey is using a recipe that calls for two Tablespoons of oil for every every 4 tablespoons create a ratio table to determine how tsp of oil she would need if she used 10 water 
The sum of one interior and one exterior angle of a triangle is degrees.
Answer:
the oppostite
Step-by-step explanation:
a balloon at standard pressure is placed in a cool oven at 20 degrees celsius. the balloon is removed from the oven when the internal temperature rises to 30 degrees celcius. if the volume of the balloon when It is removed from the oven is 3.75 L what is the initial volume of the balloon?
j4jrjrjttjtjtj
Step-by-step explanation:
jeejejehnnrnrnffjfjfc
How many cholates can you buy with 10,80€ and the cholates are 0,90€
Answer:
12
Step-by-step explanation:
because if you do 10.80 divided by 0.90 you get 12
If AB is a straight line, find x
Answer:
x=20
Step-by-step explanation:
Straight lines= 180
x+4x+3x+20=180
Combine like terms
8x+20=180
Subtract 20 on both sides
8x=160
Divide by 8 on both sides
x=20
If AB is a straight line then value of x is 20.
What is Straight Line?A line is an infinitely long object with no width, depth, or curvature.
From the given figure we can say that the angles should be added to one eighty degrees.
x+4x+3x+20=180
Now add the like terms
8x+20=180
Eight times x plus twenty equal to one hundred and eighty.
Subtract 20 from both sides
8x=160
Divide both sides by x
x=20
Hence, if AB is a straight line then value of x is 20.
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F(x)= -x^5 + 3x^3 - 3x
please help me complete this
Answer:
b= -4=32
-2=8
0=0
2=8
4=32
A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the percent of change? WHAT EXPRESSION NOT WHAT THE PERCENT IT.
The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) [tex]\times[/tex] 100.
To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:
Percent of change = ((Current Value - Initial Value) / Initial Value) [tex]\times[/tex] 100
In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).
Substituting these values into the expression, we get:
Percent of change = ((2,800 - 9,300) / 9,300) [tex]\times[/tex]100
Simplifying the expression further, we have:
Percent of change = (-6,500 / 9,300) [tex]\times[/tex] 100
Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) [tex]\times[/tex]100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.
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Solve for x: 3(x + 1)=2(x - 1)
Answer:
x=-5
Step-by-step explanation:
3(x + 1)=2(x - 1)
3x + 3 = 2x - 2
3x - 2x = -2 - 3
x = -5
Hope this helps!
Can anyone help me with this equation?
Answer:
false
Step-by-step explanation:
5+2=15÷(3+2)
5+2=15÷5
7=15÷5
7=3
false because they are different
Answer :
FALSEExplanation :
[tex] \frac{15}{3} + 2 = 15 \div (3 + 2) \\ 5 + 2 = 15 \div 5 \\ 7 = 3[/tex]
65% of 186
Please show work! (my teacher needs me to show work)
Tina can type at least 40 words per minute. Write and graph an inequality to model this situation.
Answer: X>40
Step-by-step explanation:
3. A quadratic polynomial whose
product and the sum of
zéroes are -12 and 1
Answer:
the equation is : x²-x-12
Step-by-step explanation:
the quadratic equation is in the form of : y=ax²+bx+c
the product of the zeros is -12 and the sum is 1
b = - 1
c=-12 (product)
y=x²-x-12
check : factorize first (x+3)(x-4)=0
either x+3=0 then x=-3
or x-4=0 then x=4
-3*4=-12
-3+4=1
the equation is : x²-x-12
An education budget went from $ 800,000 to $ 900,000 . What is the approximate percent increase ?
Answer:
A i think
Step-by-step explanation:
anybody help me? please
Answer:
0 because we can't have Repetitious x in function.
(07.03 MC) Given r = 10i - 5j and s = -2i + 6j, what is r + s?
The sum of vectors r and s is given by r + s = 8i + j. the sum of vectors r and s, we simply add the corresponding components of the two vectors
To find the sum of vectors r and s, we simply add the corresponding components of the two vectors.
Given r = 10i - 5j and s = -2i + 6j, we can add the i-component and j-component separately.
The i-component of the sum (r + s) is obtained by adding the i-components of r and s:
i-component: 10i + (-2i) = 10i - 2i = 8i
The j-component of the sum (r + s) is obtained by adding the j-components of r and s:
j-component: (-5j) + 6j = -5j + 6j = j
Combining the i-component and j-component, we have:
r + s = 8i + j
Therefore, the sum of vectors r and s is given by r + s = 8i + j.
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Planes X and Y and points J, K, L, M, and N are shown. Vertical plane X intersects horizontal plane Y. Point L is on the left half of plane Y. Point N is on the bottom half of plane X. Point M is on the right half of plane Y. Point K is on the top half of plane X. Point J is above and to the left of the planes. Exactly how many planes contain points J, K, and N?
Answer:
Plane X
Step-by-step explanation:
kindly find attached a rough sketch of the problem, that contains the drawing of the plane.
From the drawing we can see that the plane x contains points K and N.
It can be seen that point J is not located on any plane.
So the answer is only one plane which is plane x contain the point K and N.
-2(x+2)<14. i need the answer
Answer:
x > -9
Step-by-step explanation:
-2(x+2)<14
Divide by -2, remembering to flip the inequality
-2(x+2)/-2>14/-2
x+2 > -7
Subtract 2 from each side
x+2-2 > -7-2
x > -9
the statue of liberty in new york city is approximately 305 ft tall. how many u.s. half dollars would be in a stack of the same height? each half dollar is 2.15 mm thick.
There would be approximately 43,149 U.S. half dollars in a stack that is the same height as the Statue of Liberty.
To determine the number of U.S. half dollars that would be in a stack the same height as the Statue of Liberty, we need to convert the height of the statue from feet to millimeters and then divide it by the thickness of a single half dollar.
First, let's convert the height of the Statue of Liberty from feet to millimeters. We know that 1 foot is equal to 304.8 millimeters (rounded to the nearest tenth). Therefore, the height of the Statue of Liberty in millimeters is:
305 ft * 304.8 mm/ft = 92918 mm (rounded to the nearest whole number)
Next, we need to determine the thickness of a U.S. half dollar. Given that each half dollar is 2.15 mm thick, we can now calculate the number of half dollars in a stack that is the same height as the Statue of Liberty:
Number of half dollars = Height of stack / Thickness of a half dollar
Number of half dollars = 92918 mm / 2.15 mm
Number of half dollars ≈ 43149 (rounded to the nearest whole number)
Therefore, there would be approximately 43,149 U.S. half dollars in a stack that is the same height as the Statue of Liberty.
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.004 greater than or less than 4.00
Answer:
0.004 is much less than 4.00!
Answer:
Less
Step-by-step explanation:
Please mark brainliset.
can someone answer this and tell me how to solve please?
Find the first 4 terms, a10, Jamini an n≥3 n-2' and a₁5 of the sequence with the following nth term.
The sequence with the given nth term is n-2. The first four terms of the sequence are a₁ = -1, a₂ = 0, a₃ = 1, and a₄ = 2. The term a₁₀ is equal to 8, a₉ is equal to 7, and a₁₅ is equal to 13.
The given nth term of the sequence is n-2, which means that each term is obtained by subtracting 2 from the corresponding value of n.
To find the first four terms of the sequence, we substitute the values of n from 1 to 4 into the nth term expression. Thus, we have a₁ = 1-2 = -1, a₂ = 2-2 = 0, a₃ = 3-2 = 1, and a₄ = 4-2 = 2.
To find a specific term, we substitute the corresponding value of n into the nth term expression. For example, a₁₀ = 10-2 = 8, a₉ = 9-2 = 7, and a₁₅ = 15-2 = 13.
In summary, the first four terms of the sequence are a₁ = -1, a₂ = 0, a₃ = 1, and a₄ = 2. The term a₁₀ is equal to 8, a₉ is equal to 7, and a₁₅ is equal to 13.
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Anthony bought a rug for his office. He made a scale drawing of the office using a scale of 1 in = 4 ft.
What is the area of the office floor not covered by the rug?
solve for s. s+s+1/2s if s=8
When "s" is equal to 8, the expression "s + s + 1/2s" evaluates to 32.
To solve for "s" in the expression "s + s + 1/2s" when "s" is equal to 8, we can substitute the value of "s" into the expression and simplify.
Substituting "s = 8" into the expression:
8 + 8 + (1/2) * 8
Simplifying:
16 + 8 + 4
28 + 4
32
Therefore, when "s" is equal to 8, the expression "s + s + 1/2s" evaluates to 32.
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–112.84 – 54.14 – (–29.18)
Answer:
-137.8
^^^^^Hope this Helps!
PLEASE HELP ME FAST IM CONFUSED!
Answer: (-2,1/2) (0,0) (2,1) (4,2)
Step-by-step explanation:
plug in the number in place of X
find the coordinates of point P along the directed line segment ST so that SP to PT is the given ratio. 1. S(6,4), T(-4, -8); 1 to 3 2. S(-6, 7), 7(9,25); 2 to 3
First, we find the length of ST and multiply it by the given ratio to get the length of SP. Then, we use the midpoint formula to find the coordinates of point P.1. S(6,4), T(-4, -8); 1 to 3
Let P be the point on the directed line segment ST such that SP : PT = 1 : 3. We need to find the coordinates of P.Step 1: Find the length of ST.
Let S(x1, y1) and T(x2, y2) be the coordinates of S and T respectively. Then we can use the distance formula to find the length of ST.
d(ST) = √[(x2 - x1)² + (y2 - y1)²]
d(ST) = √[(-4 - 6)² + (-8 - 4)²]
d(ST) = √(100 + 144)
d(ST) = √244d(ST) = 2√61
Find the length of SP.We know that
SP : PT = 1 : 3. Therefore,
SP = (1/4)ST.SP = (1/4)(2√61)SP = (1/2)√61
Use the midpoint formula to find the coordinates of P.Let (x, y) be the coordinates of P. Then we can use the midpoint formula to find
(x, y).x = (1/4)(2x2 + 2x1) = (1/4)(2(-4) + 2(6)) = 1y = (1/4)(2y2 + 2y1) = (1/4)(2(-8) + 2(4)) = -1
The coordinates of P are (1, -1).
Once we have the length of SP, we can use the midpoint formula to find the coordinates of P. In the first example, we found that the coordinates of P are (1, -1) if SP : PT = 1 : 3. In the second example, we will use the same method to find the coordinates of P when S(-6, 7) and T(9, 25) are the given points, and
SP : PT = 2 : 3.
We will also find the length of ST, the length of SP, and the coordinates of P.2. S(-6, 7), T(9, 25); 2 to 3Let P be the point on the directed line segment ST such that SP : PT = 2 : 3. We need to find the coordinates of P.Step 1: Find the length of ST.Let S(x1, y1) and T(x2, y2) be the coordinates of S and T respectively. Then we can use the distance formula to find the length of ST.
d(ST) = √[(x2 - x1)² + (y2 - y1)²]
d(ST) = √[(9 - (-6))² + (25 - 7)²]
d(ST) = √(225 + 324)
d(ST) = 3√61
We know that SP : PT = 2 : 3. Therefore,
SP = (2/5)ST.SP = (2/5)(3√61)SP = (6/5)√61
Use the midpoint formula to find the coordinates of P.Let (x, y) be the coordinates of P. Then we can use the midpoint formula to find (x, y).x = (2/5)(x2 + x1) = (2/5)(9 + (-6)) = -3/5 y = (2/5)(y2 + y1) = (2/5)(25 + 7) = 16
The coordinates of P are (-3/5, 16).
To find the coordinates of point P along the directed line segment ST so that SP to PT is the given ratio, we need to find the length of ST and multiply it by the given ratio to get the length of SP. Then, we use the midpoint formula to find the coordinates of point P.
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Can y’all tell me the answer of these 4 questions
Answer:
Yes
2n+4
No
76 percent
Step-by-step explanation:
Answer:#1. No
#2. Second option
#3. No
#4. 76%
Step-by-step explanation:
None is needed.
Can someone please help me with this? ^^"
Answer:
Not issue discussed plz full page
What is the STEP to solve the equation for x: 100 = 125 + x
Answer: -25
Step-by-step explanation:
100= 125 + x First you have to subtract 125 on both sides so 125-125 and 100-125 and you will get -25=x
Answer:
[tex]\boxed {x = -25}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]100 = 125 + x[/tex]
-Switch sides:
[tex]100 = 125 + x[/tex]
[tex]125 + x = 100[/tex]
-Subtract [tex]125[/tex] on both sides:
[tex]125 - 125 + x = 100 - 125[/tex]
[tex]\boxed {x = -25}[/tex]
So, the value of [tex]x[/tex] is [tex]-25[/tex].
