Answer:
the answer should be c
Step-by-step explanation:
Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?
Fill in the blanks. (Hint: Your answers are numbers.)
The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.
f(x)=x²−4x−21
The degree is the biggest power of x. That's a polynomial of degree 2, also called a quadratic function. Let's find its zeros.
0 = x²−4x−21 = (x - 7)(x+3)
x=7 or x=-3
The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r. If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less. The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s. We divide by x-s and get a new polynomial of degree one less. We repeat all this until we get a constant polynomial (degree zero). So we get a zero for every degree. They're not necessarily all different.
Answer:
The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.
Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.
Answer:
31
Step-by-step explanation:
I would use my fingers mostly.
But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.
903.6 divided by 29.1
Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.
I hope this helps. I'm sorry if you get this wrong.
Answer:
30
Step-by-step explanation:
Round 903.6 to 900 and 29.1 to 30
So 900/30
= 30
This would be my estimated answer
Also 30^2
= 900
Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.
Answer:
The cost of one ft^2 of grass sod = $9
the cost of one geranium= $9
Step-by-step explanation:
Hi, to answer this question we have to write a cost equation for each one:
Heather : 14x+5y =171
Carlos: 6x+7y=117
Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.
Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:
98x+35y=1,197
-
30x+35y=585
____________
68x=612
Solving for x:
x = 612/68
x=$9 per ft2
Replacing x=9 on any equation:
6(9)+7y=117
54+7y=117
7y=117-54
7y=63
y=63/7
y=$9
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
Will give BRAINLIEST cuz ion know how to do this yall :)
Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows
Step-by-step explanation:
1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left
2 to 3. object 2 is moved 6 units right
The table shows ordered pairs of the function y = 16 + 0.5x .
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?
(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)
Answer: The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.
The ordered pairs simply means for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
Answer:
The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation:
Yang–Mills existence and mass gap. Solve that ur a genius
Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.
A counterexample for sinytany=cosy is 0 degrees
true or false?
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
Which of the following polygons can form a regular tessellation?
Answer:
option A.
Step-by-step explanation:
The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.
HOPE THIS HELPS.
Answer:
a
Step-by-step explanation:
Answer fast!!
The diagram represents three statements about teachers: p, q, and r.
For how many teachers are both p ∧ r true and q false?
2
4
5
9
Answer: 5
Step-by-step explanation:
For how many teachers are both p ∧ r true and q false?
(p ∧ r) ∧ (q')
q' = q complement (not in q)
p intersection r = (p ∧ r) = 9
both p ∧ r true and q false = (8+6) - 9
both p ∧ r true and q false = 14 - 9 = 5
OR
p + r - p ∧ r
8 + 6 - 9 = 14 - 9 = 5
Answer:
The answer is C (5) on Edge.
Step-by-step explanation:
Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?
Answer:
$ 809.78
Step-by-step explanation:
Given that
F = future value = $50,000
Interest rate = r = 1.45% = 0.0145
Number of period per year = 12months
Time expressed in years = 5years
The present value of a periodic deposit
P =( F ×r/n)/{ (1+r/n)^nt} -1
Substituting the values into the above formula
P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1
= 50000×0.001208/(1+0.0012)^60}-1
= 60.4/1.0012)^60}-1
60.416/1.074608-1
60.4/0.07460
= $ 809.779
His monthly deposit will be $ 809.78
what is 40.8 ÷ 6? Please explain how you got your answer
Answer:
6.8
How many 6's can go into 40?
6 + 6 + 6 + 6 + 6 + 6 = 36
6 6's
Subtract the amount off
40.8-36=4.8
How many 6's can go into 4.8?
0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48
0.8 6's
4.8 = 4.8 = 0
6 6's + 0.8 6's = 6.8 6's
6.8 is the answer
If you have any questions you can ask
Step-by-step explanation:
Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem
Answer:
1) 3.5
2) 0.875
5)7y -14
Step-by-step explanation:
1)7y= 0+2
Y= 2/7=
3.5
2)7y= 6+2=8
Y= 8/7=0.875
5) I just multiplied outside value which is7 with the value inside the bracket
I just solve the one I know.
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
2/ 7 − 2/15 = ____ solve ?
Answer:
16/105
Step-by-step explanation:
2/7 - 2/15 = 16/105
The answer is 16/105
please see the attached picture for full solution
hope it helps
Good luck on your assignment
As a member of the Game Shop rewards program, you get a 12% discount on purchases. All sales are subject to an 8% sales tax. Write functions to model the discount and the sales tax, then identify the rule for the composition function that calculates the final price you pay Games Shop.
Answer:
the answer is 1.041
Step-by-step explanation:
you will do.... 12*8/100
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
12% = discount on purchases.
8% = sales tax.
Now,
If the item cost $x
The function to model the amount after discount.
f(x) = x - (12/100)x = x - 0.12x
The function to model the amount after the sales tax.
g(x) = x + (8/100)x = x + 0.08x
Now,
The rule for the composition function calculates the final price you pay Games Shop.
= x + 0.08x - 0.12x
= x - 0.04x
Thus,
The function to model the amount after the discount is x - 0.12x
The function to model the amount after the sales tax is x + 0.08x.
The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.
Learn more about functions here:
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2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *
__________________________________
The right answer is Acute.
Explanation
Acute angle triangle are those which is more than 0 degree and less than 90 degree.
Hope it help
Good luck on your assignment
________________________________
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury
Answer: Earth
Step-by-step explanation:
Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons
Mercury 0.39 AU, 36 million miles 57.9 million km 0
Venus 0.723 AU 67.2 million miles 108.2 million km 0
Earth 1 AU 93 million miles 149.6 million km 1
Mars 1.524 AU 141.6 million miles 227.9 million km 2
Can u please answer this question in the picture below or above I guess
Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
Which statement best explains why pollution stays within the Earth's atmosphere? *
Answer:
Because of cars, and factories making it everyday.
Step-by-step explanation:
I Need help please!!
Answer:
D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language
Answer: DAnswer:
d
Step-by-step explanation:
Math question do not guess
What is the domain of the function shown on the graph?
Answer:
Step-by-step explanation:
Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is
- ∞ < x < ∞
Can someone please help me
Answer:
1) Yes
Product of Means = Product of Extremes
4 × 21 = 7 × 12
84 = 84
2) No
Product of Means = Product of Extremes
2 × 2 = 3 × 3
4 ≠ 9
3) No
Cross multiplying
3 × 6 = 4 × 8
18 ≠ 32
4) Yes
Cross Multiplying
1 × 25 = 5 × 5
25 = 25
Answer:
Step-by-step explanation:
1) 4 : 7 ? 12 : 21
If product of mean is equal to product of extremes, then they are proportion
Product of extremes = 4*21 = 84
Product of mean = 7 * 12 = 84
Product of extremes = Product of mean
They are in proportion
4 : 7 :: 12 : 21
2) 2 : 3 ? 3: 2
Product of extremes = 2*2 = 4
Product of mean = 3*3 = 9
Product of extremes ≠ Product of mean
They are not in proportion
2 : 3 ≠ 3 : 2
3) 3/4 ? 8/6
3 : 4 ? 8:6
Product of extremes = 3 * 6 = 18
Product of mean = 4 * 8 = 24
Product of extremes ≠ Product of mean
They are not in proportion
3 : 4 ≠ 8 : 6
4) 1/5 ? 5/25
1:5 ? 5 : 25
Product of extremes = 1 * 25 = 25
Product of mean = 5 * 5 = 25
Product of extremes = Product of mean
They are in proportion
1 : 5 :: 5 : 25
A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently
Answer:
All cubes, regardless of size, will have 6 faces and 12 edges.
find the value of A when pi= 3.142 and r= 5
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
To learn more on area of circle click:
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help me
Factor: 5x2 – 15x – 20.
(a) 5(x-4)(x+1),
(b) -2(x-4)(x+5),
(c) -5(x+4)(x-1),
(d) 5(x+4)(x+1).
Answer:
C
Step-by-step explanation:
5×2=10
10-15x-20
-10-15x
5(-2-3x), or -5(x+4)(x-1) solve it and find your answer
Please help me I’m stuck.
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:
[tex]A=\frac{1}{2}(17)(15)sin35[/tex]
Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared
