Answer:
I believe it is SSS
Step-by-step explanation:
because all the sides are exactly the same length
Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3
Answer:
c(x) = –8x^2 + 3x – 5 is a quadratic function.
Step-by-step explanation:
At first, we will define what a quadratic function is.
A quadratic function is a polynomial with one or more variables with degree 2.
So, from the given functions
a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.
b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.
c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.
d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.
Answer:
Step-by-step explanation:
What is the probability of either outcome b or d?
a. .28
c. .19
b. .38
d. .33 please select the best answer from the choices provided a b c d?
Answer:
B.38
Step-by-step explanation:
Determine the asymptotes of the function: y=x^3-5x^2+4x-25/x^2-4x+3
(horizontal, vertical or slant)
Answer:
Vertical A @ x=3 and x=1
Horizontal A nowhere since degree on top is higher than degree on bottom
Slant A @ y=x-1
Step-by-step explanation:
I'm going to look for vertical first:
I'm going to factor the bottom first: (x-3)(x-1)
So we have possible vertical asymptotes at x=3 and at x=1
To check I'm going to see if (x-3) is a factor of the top by plugging in 3 and seeing if I receive 0 (If I receive 0 then x=3 gives me a hole)
3^3-5(3)^2+4(3)-25=-31 so it isn't a factor of the top so you have a vertical asymptote at x=3
Let's check x=1
1^3-5(1)^2+4(1)-25=-25 so we have a vertical asymptote at x=1 also
There is no horizontal asymptote because degree of top is bigger than degree of bottom
There is a slant asympote because the degree of top is one more than degree of bottom (We can find this by doing long division)
x -1
--------------------------------------------------
x^2-4x+3 | x^3-5x^2+4x-25
- ( x^3-4x^2+3x)
--------------------------------
-x^2 +x -25
- (-x^2+4x-3)
---------------------
-3x-22
So the slant asymptote is to x-1
Answer: D
Step-by-step explanation:
EDGE 2021
the sum of two numbers is 68.the smaller number is 8 less than the larger number what are the numbers
Answer:
30 and 38
Step-by-step explanation:
If x is the smaller number and y is the larger number:
x + y = 68
x = y - 8
Solve with substitution:
y - 8 + y = 68
2y = 76
y = 38
x = 30
So the two numbers are 30 and 38.
Answer:
Smaller number = 30
Larger number = 38
Step-by-step explanation:
68 = (x+8) + x
68 = 2x - 8
60 = 2x
30 = x
and
68 = (x-8) + x
68 = 2x - 8
76 = 2x
38 = x
a. Plot the data for the functions f(x) and g(x) on a grid and connect the points.
x -2 -1 0 1 2 x -2 -1 0 1 2
f(x) 1/9 1/3 1 3 9 g(x) -4 -2 0 2 4
b. Which function could be described as exponential and which as linear? Explain.
c. If the functions continue with the same pattern, will the function values ever be equal? If so, give estimates for the value of x that will make the function values equals. If not, explain why the function values will never be equal.
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
__
b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
__
c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
b. The function f(x) appears exponential because its graph approaches but does not cross the negative x-axis, while growing at a faster and faster rate to the right (or precisely: as x increases by 1, the value gets multiplied by the same constant, 3.) The function g(x) is linear since g(x) increases by the same amount as x increases in steps of one unit.
c. The graph appears to show that the functions do not intersect, so the function values will not be equal. The function f is already above the function g and it is growing at a faster rate, so they cannot ever be equal.
Step-by-step explanation:
used the answer above just changed a few words and all
What is the difference between the two graphs at X = -3
Answer:
5
Step-by-step explanation:
Blue: when x = - 3, y = 5
Green: when x = -3, y = 0
The difference between the two graphs at X = -3 : 5 - 0 = 5
Answer
5
Need help with a math question
Answer:
3%
Step-by-step explanation:
We are given the data of number of cars observed waiting in line at the beginning of 2 minute intervals between 3 and 5 p.m. on Friday.
We are to find the probability (in percent) that there is no one in line.
Sum of frequencies = 2 + 9 + 16 + 12 + 8 + 6 + 4 + 2 + 1 = 60
Frequency of no car in line = 2
P (no car in line) = 2 / 60 × 100 = 3.3% ≈ 3%
Camilla borrows a book from the library for ddd days. The library charges a late fee of 0.100.100, point, 10 dollars per day that the book is late.
If Camilla returns the book more than 212121 days after she borrowed it, the expression 0.10(d-21)0.10(d−21)0, point, 10, left parenthesis, d, minus, 21, right parenthesis represents the total late fee Camilla owes.
What does (d-21)(d−21)left parenthesis, d, minus, 21, right parenthesis represent in this context?
Answer:
(d -21) is the number of days the book is late
Step-by-step explanation:
There is no fee if the book is returned within 21 days, so d-21 represents the number of "late days" for which a fee is charged.
Answer:
(d -21) is the number of days the book is late
Step-by-step explanation:
A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute? a. 2,400 ft/min b. 211,200 ft/min c. 3,520 ft/min d. 1,720 ft/min
Answer:
3520 ft/min
Step-by-step explanation:
40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min
_____
Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.
Final answer:
To convert 40 mi/h to feet per minute, multiply by 5280 feet per mile and then divide by 60 minutes per hour, resulting in a speed of 2400 ft/min. So the correct option is a. 2,400 ft/min.
Explanation:
To convert the speed of a car from miles per hour (mi/h) to feet per minute (ft/min), we need to know the following conversions:
1 hour = 60 minutes
Now, we can use these conversions to calculate the speed:
40 mi/h
40 mi/h = 40
(5280 ft/mi)
(60 min/hour) = 2,400 ft/min.
The car is driving at a speed of 2,400 ft/min.
How do you solve x^4 - 3x^3 - 3x^2 - 75x - 700
Answer:
= (x +4)(x -7)(x^2 +25)
roots are -4, 7, ±5i
Step-by-step explanation:
You have not said what "solve" means in this context. An expression by itself doesn't have a solution. We have assumed you want to find the factoring and/or roots of it.
I like to use a graphing calculator to find the real roots. For this expression, there are two of them, one positive and one negative. (You know there will be one positive real root, and at least one negative real root, from Descartes's rule of signs.)
Then those roots can be factored out and the solution to the remaining quadratic determined. That factoring can occur by polynomial long division, synthetic division, or other means.
I like to see what happens when I plot the graph of the function divided by the known factors. (We expect a parabola that doesn't cross the x-axis.) The vertex of that parabola can be used to find the remaining roots.
The x-intercepts of the given expression are -4 and +7, so two of the factors are (x+4) and (x-7). Dividing these from the given expression (by synthetic division or other means) gives (x^2 +25). This only has imaginary roots (±5i).
____
If you're constrained to doing this "by hand" with only a scientific calculator, Descartes's rule of signs tells you there is one positive real root. (Only one sign change in the sequence of coefficient signs: +----.)
The rational root theorem tells you it will be a divisor of 700. Various estimates of the maximum magnitude of it will tell you it is probably less than 14 (easily checked). So, the numbers you can test as roots would be 1, 2, 4, 5, 7, 10, 14. You will find that 7 is a root, and then you can reduce the problem to the cubic x^3 +4x^2 +25x +100.
When odd-degree term signs are changed, there will be 3 sign changes (-+-+), hence at least one negative real root. The rational root theorem tells you it is a divisor of 100, so possible choices are -1, -2, -4, -5. By trial and error or other means, you can find the root to be -4. Then the problem reduces to the quadratic x^2 +25.
Roots of that are ±√(-25) = ±5i.
This process generally entails a fair amount of trial-and-error work, which is why I prefer one that makes some use of technology.
_____
We have presumed you have some familiarity with ...
Descartes's rule of signsRational Root Theoremsynthetic divisionThis will usually be the case when you're presented with problems like this. If you need additional information on any of these, it is readily available on the internet (and probably also in your reference material).
1. Write the equation of a line in slope-intercept form that has a slope of -1/4 and passes through the point (8, -1).
2. Write the equation of a line in point-slope form that has a slope of -1 and passes through the point (-2, 5).
These are my last 2 questions thank you everyone for all the help!!
Answer:
see explanation
Step-by-step explanation:
1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{1}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (8, - 1) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - [tex]\frac{1}{4}[/tex] x + 1 ← in slope- intercept form
2
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 1 and (a, b) = (- 2, 5), hence
y - 5 = - (x - (- 2)), that is
y - 5 = - (x + 2)
which of the va;ues of P and Q result in an equation with no solutions? Qx+P=33x+25
Answer:
Step-by-step explanation:
No solution means that the 2 lines will never intersect in a coordinate plane. The only kinds of lines that can exist within the same coordinate plane and never intersect are lines that are parallel. The slopes have to be the same for lines to be parallel. The y-intercept, or where they go through the y axis, won't be the same, but the value of the slope has to be. The slope of the equation on the right is 33, so if these lines are parallel, then Q has to equal 33. P can then be any real number NOT equal to 25.
I will mark Brainliest The radius of a sphere is 7 feet. Which formula can be used to find the surface area of the sphere? A = 4?(7)3 A = 3?(7)2 A = 3?(7)3 A = 4?(7)2
Answer:
A = 4π(7)^2
Step-by-step explanation:
The formula for the area of a sphere is ...
A = 4πr^2 . . . . . . for radius r
When the radius is 7 feet, the value 7 goes where r is in the formula:
A = 4π·7^2 . . . . . square feet
Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …
A.f(n) = f(n − 1) + 4
B.f(n) = f(n − 1) + 2
C.f(n) = f(n − 1) ⋅ 4
D.f(n) = f(n − 1) ⋅ 2
Answer:
A.f(n) = f(n − 1) + 4
Step-by-step explanation:
4+4 = 8
8+4 = 12
We are adding 4 to the term before it
f(n) = f(n-1) +4
Answer: A.f(n) = f(n − 1) + 4 Hope this helps :)
4 yards of woolen fabric costs $30.00 more than 6 yards of silk fabric. How much does the silk cost if the cost of the silk is $25.00 less than the cost of the wool?
Answer:
Cost of yard silk fabric : $35
Cost of yard of woolen fabric: $60
Step-by-step explanation:
This problem must be represented as a linear system of equations
Let
x = the cost of 1 yard of woolen fabric
y = the cost of 1 yard of silk fabric
The problem tells us
4 yards of woolen fabric costs $30.00 more than 6 yards of silk fabric.
4.x = 6.y + 30
cost of the silk is $25.00 less than the cost of the wool
y = x - 25
The system of equations is
4x - 6y = 30
x - y = 25
If we solve this system of equations using a calculator or computational tool, we get the following values
x = $60
y = $35
I require some assistance with this graphing question, please.
"Use the parabola tool to graph the quadratic function
f(x)=−(x+3)^2+5
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola."
The graph's max on both the X and Y axis is 10, and goes no further.
Any help would be appreciated, but feel free to take your time.
Answer:
vertex (-3,5) and another pt (-2,4)
Step-by-step explanation:
It is in vertex form so the vertex is (-3,5)...
Now just plug in a value for x say like -2...
f(-2)=-(-2+3)^2+5
f(-2)=-(1)^2+5
f(-2)=-1+5
f(-2)=4
So another point is (-2,4)
Answer:
y-int = 5
roots: sqrt(5)-3 or -3 - sqrt(5)
TP @ (-3,5)
Step-by-step explanation:
y intercept = 5 (when x = 0)
Roots:
When y = 0
5 - (x + 3)^2 = 0
(x+3)^2 = 5
Square both sides:
x + 3 = Sqrt[5] or x + 3 = - Sqrt[5]
x = Sqrt[5] - 3 or x= - 3 - Sqrt[5]
Turning point (Critical Point):
dy/dx (5-(x+3)^2) = - 2 (x+3)
Solve -2 (x+3) = 0
x = - 3
y = 5
Max point at (-3,5)
How to tell if a function is even or odd from a graph
Answer:
if u can divide it to two
Step-by-step explanation:
I need help ASAP!!
Consider the equation below.
x^2-10x-11=0
Determine which equation has the same solutions as the given equation.
A. (x-10)^2=36
B. (x-5)^2=21
C. (x-10)^2=21
D. (x-5)^2=36
Answer:
D. (x-5)^2 = 36
Step-by-step explanation:
If you add 11 to the given equation, you get ...
x^2 -10x = 11
Then you can add the square of half the x-coefficient to complete the square.
x^2 -10x +25 = 11 +25
(x -5)^2 = 36 . . . . simplify to the appropriate form
Need help with a math question
Answer:
[tex]x =26\°[/tex]
Step-by-step explanation:
For this case we have 2 secant lines and an exterior angle x.
Then by definition the measure of the outer angle is equal to half the difference of the arcs formed by the sides.
This means that the angle x is equal to:
[tex]x =\frac{66\°-14\°}{2}\\\\x =26\°[/tex]
the answer is:
[tex]x =26\°[/tex]
Find the length of segment EC
Step-by-step explanation:
49-30=19, then add 19+16, then you get the answer of 35!
Hope this helps!
Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7 r = 7 and center at (-6, 4) r = 7 and center at (6, -4) r = √7 and center at (-4, 6) r = √7 and (6, -4)
Answer:
center at (6, -4) r = √7
Step-by-step explanation:
(x – 6)^2 + (y + 4)^2 = 7
This is in the form
(x – h)^2 + (y - k)^2 = r^2
Where (h,k) is the center of the circle and r is the radius of the circle
Rearranging the equation to match this form
(x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2
The center is at (6, -4) and the radius is the sqrt(7)
Answer:
center at (6, -4) r = √7
Step-by-step explanation:
(x – 6)^2 + (y + 4)^2 = 7 This is in the form (x – h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius of the circle Rearranging the equation to match this form (x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2 The center is at (6, -4) and the radius is the sqrt(7)
Which shows one way to determine the factors of 4x^3+x^2-8x-2
For this case we must factor the following expression:
[tex]4x ^ 3 + x ^ 2-8x-2[/tex]
We group the first two and the last two terms:
[tex](4x ^ 3 + x ^ 2) + (- 8x-2)[/tex]
We factor the highest common denominator of each group:
[tex]x ^ 2 (4x + 1) -2 (4x + 1)[/tex]
We take the common factor[tex]4x + 1:[/tex]
[tex](4x + 1) (x ^ 2-2)[/tex]
Answer:
[tex](4x + 1) (x ^ 2-2)[/tex]
Identify the graph that has a vertex of (1,-1) and a leading coefficient of a=2.
ANSWER
[tex]f(x) = 2 ({x - 1)}^{2} - 1[/tex]
EXPLANATION
The vertex form of a parabola has equation:
[tex]f(x) = a ({x - h)}^{2} + k[/tex]
where V(h,k) is the vertex of the parabola and 'a' is the leading coefficient.
From the question, we have that, the vertex is
[tex](1,-1)[/tex]
and the leading coefficient is
[tex]a= 2[/tex]
We substitute the vertex and the leading coefficient into the vertex form to get:
[tex]f(x) = 2 ({x - 1)}^{2} + - 1[/tex]
We simplify to get:
[tex]f(x) = 2 ({x - 1)}^{2} - 1[/tex]
The graph of this function is shown in the attachment.
The graph that has a vertex of (1,-1) and a leading coefficient of a=2 is a parabola.
Explanation:The graph that has a vertex of (1,-1) and a leading coefficient of a=2 is a parabola. The leading coefficient, which is the coefficient of the squared term, determines the nature of the parabola.
Since the leading coefficient is positive, the parabola opens upward. The equation of the parabola can be written in the form y = ax^2 + bx + c, where a represents the leading coefficient.
Therefore, the equation of the graph is y = 2x^2 - 4x + 1.
If x/9 < 2/5 and x is a positive integer, how many distinct values are possible for x?
Answer:
3
Step-by-step explanation:
Solving the inequality gives ...
x/9 < 2/5
x < 18/5 . . . . multiply by 9
Applying the problem restrictions, we have ...
0 < x < 3.6 . . . . . x is an integer
Solutions are {1, 2, 3}. There are 3 distinct possible values for x.
The vertex of this parabola is at (2, -4). When the x-value is 3, the yvalue is -1. What is the coefficient of the squared expression in the parabola's equation?
Answer:
3
Step-by-step explanation:
Fill in the known values in the vertex form equation and solve for the coefficient.
y = a(x -h)^2 +k
-1 = a(3 -2)^2 -4 = a -4 . . . . fill in the values and simplify
3 = a . . . . . . . . . . . . . . . . . . .add 4
The coefficient of the squared expression is 3.
Final answer:
The coefficient of the squared term in the parabola's equation, given the vertex (2, -4) and a point (3, -1) on the parabola, is found to be 3 by substituting these values into the vertex form of a parabola's equation.
Explanation:
The student is asking how to determine the coefficient of the squared term in a parabola's equation, given the vertex and a point on the parabola. The standard form of a parabola's equation with vertex (h, k) is [tex]y = a(x - h)^2 + k,[/tex] where a is the coefficient in question. Knowing the vertex at (2, -4) and a point (3, -1) on the parabola, we can substitute these into the equation to find a.
Substituting the vertex into the equation gives us the form [tex]y = a(x - 2)^2 - 4.[/tex] Then we substitute the point (3, -1):
[tex]-1 = a(3 - 2)^2 - 4[/tex]
[tex]-1 = a(1)^2 - 4[/tex]
-1 + 4 = a · 1
a = 3
Therefore, the coefficient of the squared expression in the parabola's equation is 3.
PLEASE HELP!11 25 POINTS The volume of a right rectangular prism can be determined by multiplying the base area of the figure by the height. The volume of a right rectangular prism with a base area of 8 square inches is more than 64 cubic inches. The inequality 8h > 64 can be used to model the situation, where h represents the height of the figure. Which is a possible value of h?
a. 2
b.4
c.8
d.12
Answer:
12
Step-by-step explanation:
The only possible answer if 12 because all of the other choices come to the conclusion that 8h ≤ 64
if h=12 then 8h= 8 * 12 = 96 > 64
The value of h is 12.
What is the volume of a rectangular prism?Multiply the length, width, and height of a rectangular prism to determine its volume. Cubic measurements are used to express volume.
Given,
The only possible answer is 12 because all of the other choices come to the conclusion that 8h ≤ 64
if h=12 then 8h= [tex]8 * 12[/tex] = 96 > 64
To know more about rectangular prism refer to :
https://brainly.com/question/477459
#SPJ2
45 POINTS! HELP ASAP AND ILL MARK AS BRAINLIEST!
What are the amplitude, period, and midline of the function? (1 point)
Amplitude: 8; period: π; midline: y = 1
Amplitude: 8; period: 2π; midline: y = 5
Amplitude: 4; period: 2π; midline: y = 5
Amplitude: 2; period: π; midline: y = 1
Amplitude = 2; period T = π; midline y = 1.
This sinusoidal wave is a even function which means that it has a positive half-cycle and a negative half-circle of equal size, from the image we can see that the midline is y = 1 which is the point where the function is centered.
The amplitude is the measure from the midline to the positive half-cycle, and the midline to the negative half-cycle which is 2.
The period corresponds to a complete cycle of the function or the repetition of the wave seen from a point. In this case, we can see that the wave, starting from π/2 it repeat in 3π/2. So, to calculate the period just substract 3π/2 by π/2
T = 3π/2 - π/2 = (3π - π)/2
T = 2π/2
T = π
HEEEEELP ME ITS MATH I NEED THIS FAST PICTURE BELOW
See the attached picture for the answer.
If w represents the width of a rectangle with a length of 12 centimeters and an area of 590 square centimeters, what is the best algebraic equation?
a) 590=12w
b) 590=2w+24
c)590=12+w
The formula for the area of a rectangle is...
Area = length x width
A = L x W
What we know so far...
Area is 590 cm^2
length is 12 cm
width is unknown
Plug all of these into the equation for area of a rectangle:
590 = 12 * w
or
590 = 12w
Letter A is the correct answer
Hope this helped!
~Just a girl in love with Shawn Mendes
HELP ASAP!! Lara starts from the school, which is 5 miles west and 7 miles north of the house. She travels 20 miles south, and then 15 miles east. What is her final position? What single translation vector moves her from her starting position to her final position?
Answer:
(10, −13); (15, −20)
Step-by-step explanation: