The graph of f(x) = x3 − 7x − 6 is shown.
Based on the graph, what are all of the solutions to f(x) = x3 − 7x − 6?
x = −6
x = −2, −1
x = −2, −1, 3
x = −6, −2, −1, 3
Answers
In accordance with the graph of the cubic function, the roots are - 2, - 1, 3.
What are the roots of a cubic equation according to a graph?
In this question we have a graph of a cubic equation, the roots are the points of the curve that pass through the x-axis. Cubic equations have at least a real root and at most three. In accordance with the graph of the cubic equation, the roots are - 2, - 1, 3.
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Related Questions
Simplify the expression below. If your answer is not a whole number, enter it
as a fraction in lowest terms, using the slash mark (/) as the fraction bar.
5/6 divided by 7/18
Answers
Answer:
2.14 rounded ............
Find the differential of each function. (a) y - x^2 sin 8x
Answers
The differential of the function y - x² sin 8x with respect to x is dy/dx - 2x sin 8x + 8x² cos 8x
To find the differential of the function y = x² sin 8x, we can use the standard notation dy/dx which represents the rate of change of y with respect to x.
To calculate dy/dx, we need to use the product rule, which states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.
Let z be the given function,
z= y - x² sin 8x
The derivative of x² is 2x
The derivative of sin 8x is 8 cos 8x
So,
dz/dx= dy/dx - (2x)(sin 8x) + (x²)(8cos 8x)
= dy/dx- 2x sin 8x + 8x² cos 8x
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Which graph represents the function on the interval [−3,3]?
f(x)=⌊x⌋−3
Answers
The function f(x)=⌊x⌋−3 in interval [−3,3] is represented by following graph:
The correct option is D.
What is floor function?The floor function floor(x) is defined as the function that gives the highest integer less than or equal to x.
Given function
f(x)=⌊x⌋−3 in interval [−3,3]
Above function is floor function.
x = 3f(x) = ⌊x⌋−3
f(3) = 3 - 3
f(3) = 0
x = 2f(2) = 2 - 3
f(2) = -1
x = 1f(1) = 1 - 3
f(1) = -2
x = 0f(0) = 0 - 3
f(0) = -3
x = -1f(-1) = -1 -3
f(-1) = -4
x = -2f(-2) = -2 -3
f(-2) = -5
x = -3f(-3) = -3 -3
f(-3) = -6
Plotting above points the graph we get is as follows:
Hence, Graph that represents the function f(x)=⌊x⌋−3 in interval [−3,3] is below.
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What is the length of the unknown
leg of the right triangle?
5 ft
6 ft
(The figure is not drawn
to scale.)
The length of the unknown leg of the right triangle is
(Round to one decimal place as needed.)
ft.
Answers
Answer:
a = 3.31ft.
Step-by-step explanation:
Pythagorean TheoremThe Pythagorean Theorem explains the connection between a right triangle's three sides. The area of the square produced on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on its legs: a2 + b2 = c2.a, is the shortest leg of the triangle or the opposite.b, is the adjacent leg of the triangle. This leg typically forms the right angle of the triangle.c, is the hypotenuse. This is the longest leg of the triangle.Applying the theorem[tex]a^{2} + b^{2} = c^{2}[/tex][tex]a^{2} +5^{2} = 6^{2}[/tex][tex]a^{2} = 6^{2} - 5^{2}[/tex][tex]a^{2} = 36-25[/tex][tex]\sqrt{a^{2} } = \sqrt{11}[/tex][tex]a = 3.31 feet[/tex]The opposite is 3.31 feet.
Please let me know if this helped!!!
I need help 783.1 x 1.03
Answers
Answer: 806.59300
Step-by-step explanation:
MODELING REAL LIFE A rhino with mass m (in kilograms) has an average heart rate of approximately 241m 0.25 beats
per minute and a lifespan of approximately (6 x 106)m0.2 minutes. Write an expression using an exponent that represents
the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms.
Expression:____
Answers
On solving the provided question, we can say that expression is as follows r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
expression is as follows
r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]
the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms is [tex]1.7 X 10^8 KG[/tex]
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5
In August, Peter rakes 5 lawns. He earns $8 for each lawn he rakes.
In September, Peter earns $10 raking lawns.
The equation shown can be used to find m, the total amount of money Peter earns raking lawns in August and September.
5 x 8 + 10 = m
What is the total amount of money Peter earns raking lawns in August and September?
OA. 55
B. 58
OC. 50
D. 23
Reset
Next
Answers
Therefore , algebraic solution is 55 is the total amount of money Peter earns raking lawns in August and September
What is the total amount of money Peter earns raking lawns in August and September?The total amount of money Peter earns from raking lawns in August and September can be found by solving the equation 5 x 8 + 10 = m, where m represents the total money earned.
Here,
In this equation, 5 represents the number of lawns Peter raked in August, 8 represents the amount he earns for each lawn, and 10 represents the amount he earned from raking lawns in September.
When this equation is solved, the result is m = 55, meaning that Peter earned a total of $55 from raking lawns in August and September.
This can be seen by multiplying 5 times 8, which is 40, and then adding 10, which brings the total to 55.
Therefore, the total amount of money Peter earns from raking lawns in August and September is $55.
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A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
Answers
For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is
$528.28How to find the account balance after 9 yearsThe account balance is solved by adding the initial deposit to the simple interest.
The simple interest is solved using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $425.00
rate= 2.7%
time = 9 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 425 * 9 * 2.7 / 100
Simple interest = 10327.5 / 100
Simple interest = 103.275
The account balance
= initial deposit + simple interest
= 103.275 + 425
= $528.28
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x-y=5
find y
write out the steps
Answers
Answer:
y is x - 5.
Step-by-step explanation:
x - y = 5
x = y + 5
we can isolate y by subtracting 5 from both sides of the equation:
x = y + 5
x - 5 = y
Therefore, the solution for y is x - 5.
Jan is looking for similar figures.
Which choice is similar to the figure shown?
Answers
Answer: Number 3 ( the one with the numbers added that are 4,13)
Step-by-step explanation:
5 - 3 * 2 + 8 * 5 - 2
Answers
If the length of the hypotenuse of the right triangle is 5 units, and the area of p is 9 square units, then what is the area of R?
Answers
Answer:
So, Hypotenuse = unit
Step-by-step explanation:
A linear equation is a(n) _____ because the greatest degree of the variable is 1.
Answers
Linear equation: If the maximum power of the variable/symbol in an equation is one, then the equation is called a linear equation.
An example of a linear equation is x + y = 10.
Definition of Degree: The maximum power in an equation of variable is known as a degree.
So, the degree of a linear equation is 1.
Linear equations are equations based on the first order. The linear equations are explained for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e., only one variable), then it is known as a linear equation in 1 variable.
If a linear equation can have more than one variable. If the linear equation has two or more two variables, then it is called a linear equation with two variables, and so on.
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Function A gives you the area in square inches of a square with side length X inches 
Answers
The answers to each part is mentioned below..
What is the area of a square?The area of a square is -
Area = Side x Side
A = S²
Given is that the function {A} gives you the area in square inches of a square with side length {X} inches
We can complete the table as -
[x] : 0 1 2 3 4 5 6
A[x] : (0)² (1)² (2)² (3)² (4)² (5)² (6)²
A[x] : 0 1 4 9 16 25 36
We can Represent the function A using the equation as -
A(x) = x²
The graph of the function is attached.
Therefore, the answers to each part is mentioned above.
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Select ALL the true statements.
Responses
−1−−−√
is an imaginary number.
square root of negative 1 is an imaginary number.
There are no real numbers that satisfy the equation x=−1−−−√
.
There are no real numbers that satisfy the equation x is equal to square root of negative 1.
Because −1−−−√
is imaginary, no one does math with it.
Because square root of negative 1 is imaginary, no one does math with it.
The equation x2=−1
has real solutions.
The equation x squared is equal to negative 1 has real solutions.
−1−−−√=−1
because −1⋅ −1 = −1
square root of negative 1 is equal to negative 1 because −1⋅ −1 = −1
Answers
The true statements are:
√(-1) is an imaginary number.
There are no real numbers that satisfy the equation x = √-1.
What is Imaginary Number?A number that produces a negative square root is referred to as an imaginary number. An imaginary number, which has no real-world equivalent, is essentially the square root of a negative number.
Given:
We know that the value of √(-1) is i (iota) which is imaginary number.
So, √(-1) is an imaginary number.
Now, Negative numbers don't have real square roots since a square is either positive or 0.
So, x = √-1 have no real solution.
Now, x² = -1 again have no real solution because
x = √-1 and , Negative numbers don't have real square roots.
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I need help with this please hurry asap due right now in 10 minutes!!! p.s x is not multiplying.
Answers
Answer:
31.80
Step-by-step explanation:
20.53
× 1.55=
31.82
-.02
32.80
HELP PLEASE.
In an experiment with a bag of marbles, P(green) = one-fourth. Interpret the likelihood of choosing a green marble.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
Answers
The likelihood of choosing a green marble is unlikely.
What is the probability?Probability is used to determine how likely it is that a random event would happen. The probability that a random event occurs lie between 0 and 1. The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability of picking a green marble is 1/4 or 0.25. 0.25 is less than 0.5. This means it is unlikely the event would occur.
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Write an
explicit formula for an, the nth term of the sequence 8, 40, 200, ....
Answers
Answer:
1,000
Step-by-step explanation:
Formula: An=8/5x5(4)
When you’ve finished solving an equation, it’s easy to check your work. Simply plug your answer for the variable into the original equation. Take, for example, the equation 4x + 9 = 45. After isolating the variable, you’ve come up with x = 9. To check your work, replace the x with 9: 4(9) + 9 = 45. Following the order of operations, multiply 4 by 9 first to get 36 + 9 = 45. Adding 36 plus 9 does equal 45, so you know you’ve found the right value for x. Which of these equations is correct when x = -2? A x + 8 = 5 B 3x - 1 = -10 C 2x - 7 = -11 D -95x = -190 BACK
Answers
The required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.
What is the equation?
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
As of the given example in the question,
Putting x = -2 to in every op[tion,
A,
X + 8 = 5
-2 + 8 = 5
6 ≠ 5
Similarly,
B. -7 ≠ -10
C. -11 = -11
D. -190 = -190
Thus, the required correct equations are 2x - 7 = -11 and -95x = -190. Options C and D are correct.
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Simplify the expression 8+10 (x+3) + x . Do not include spaces in your answer and type in the form similar to 2x+2.
Answers
Steps
8+10(x+3)+x
8+10x+10*3+x
38+11x
All you have to do is expand the expression and calculate then combine terms
Answer:
8+10(x+3)+x
=18(x+3)+x
=18x+54+x
=19x+54
PLEASE HURRY I WILL GIVE BRAINLT The function f(x) represents the number of texts sent this week, and g(x) represents the number of texts sent last week. Given f(x) = 8x + 14 and g(x) = 5x − 2, find (f − g)(x) to find how many more texts were sent this week than last week.
(f − g)(x) = 3x + 12
(f − g)(x) = 3x + 16
(f − g)(x) = 13x + 12
(f − g)(x) = 13x + 16
Answers
The function that represents how many more texts that were sent this week than last week is: B. (f − g)(x) = 3x + 16.
How to Evaluate Functions?To find the value of a given functional expression, we have to apply the basic knowledge of how to solve algebraic expressions.
For example, if we are given that (f - g)(x), it means we are to subtract the function g(x) from f(x). That is (f - g)(x) = f(x) - g(x).
Given the following functions:
Number of texts sent this week is represented as the function, f(x) = 8x + 14
Number of texts sent last week is represented as the function, g(x) = 5x - 2.
Number of texts that were sent this week than last week = (f - g)(x)
(f - g)(x) = (8x + 14) - (5x - 2)
(f - g)(x) = 8x + 14 - 5x + 2
(f - g)(x) = 3x + 16
Therefore, the answer is: (f − g)(x) = 3x + 16.
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Therefore, the answer is: (f − g)(x) = 3x + 16.
Are tan D and tan F ____.
a. complementary
b. supplementary
c. congruent
d. reciprocals
Answers
Reason:
tan = opposite/adjacent
tan(D) = EF/DE = d/f
tan(F) = DE/EF = f/d
Comparing d/f with f/d, and we find they are reciprocals. The two fractions multiply to 1.
Lisa sells raffle tickets at a charity event for $4 each. How many tickets does she have to sell to make $160? Select the correct equation and answer.
Responses
4t=160; 40 tickets4t=160; 40 tickets
t160=4; 40 ticketst160=4; 40 tickets
4(160)=t; 480 tickets4(160)=t; 480 tickets
t4=160; 480 tickets
Answers
Answer: 40 tickets
Step-by-step explanation:
1 ticket=$4
160/4=40
$4x40tickets=$160
please help need help asap pls!
Answers
On solving the provided question, we can say that by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base ; AB = 80m
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base
so DC = 2*AB
AB = 80m
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[tex]solve \: each \: equation \: for \: 0 \: \leqslant 0 < 2\pi[/tex]
btw the second 0 is a 0 with a / but i don't have the symbol
[tex] - 1 = - 2 + \cot(0) [/tex]
Answers
The sine, cosine, and tangent are the three fundamental trigonometry operations. The cotangent, secant, and cosecant functions are derived from these three basic functions.
Is trigonometry a practical tool?Numerous applications of trigonometry and its operations can be found in daily life. For instance, it is used in astronomy to determine how far away nearby stars are, in geography to determine the distance between landmarks, and in the satellite navigation system.
Here,
The three basic categories of trigonometric functions are sine, cosine, and tangent.
And
from the primary functions, one can derive the three cotangent, secant, and cosecant functions.
Therefore , the solution is cotangent, secant, and cosecant functions are derived from these three basic functions .
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The complete question is " Is a slash used on a zero or an O to differentiate between the two trigonometric ratios? ".
Use the image below to solve
Please HELP
Answers
The value of x is given as follows:
x = 18.
What are similar triangles?Similar triangles are triangles that share these following two features:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are listed as follows:
ABD and EDC.
The proportional side lengths are given as follows:
x and 6.12 and 4.Hence the value of x is obtained as follows:
x/6 = 12/4
x/6 = 3.
x = 18.
(using the proportional relationship for the equivalent side lengths of the similar triangles).
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which is larger
8/k^2+2 and k^2+2
Answers
Answer:
Step-by-step explanation:
d e e z n u t z
Line C is represented by the line
y=-52-5. Line D is perpendicular to Line C. What is the slope of Line D?
Answers
from the given option the slope of the line -5/2 is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex]that is option B).
What is slope of Line?An indication of how steep a line is is its slope. When calculating slope mathematically, "rise over run" is used (change in y divided by change in x). Measured by slope, a line's steepness. The slope increases in steepness as it gets larger. It becomes flatter the smaller the slope. Along with indicating whether a line is going up, down, horizontal, or vertical, slope also indicates the direction of the line.
From the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=\frac{2}{5} x[/tex] that is option[tex]$\mathbf{B}$[/tex] ) and this can be determined by using the slop intercept form.
Given :
Equation -[tex]$y=\frac{2}{5} x-1$[/tex]
First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:
[tex]$$y=m x+c$$[/tex]
Now, compare equation (1) with the above equation.
[tex]& \mathrm{m}_1=\frac{2}{5} \\[/tex]
[tex]& \mathrm{c}=-1[/tex]
For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:
[tex]$$m_1 m_2=-1$$[/tex]
So, the slope of the line perpendicular to the line [tex]$y=\frac{2}{5} x-1$[/tex] is:
[tex]$$\mathrm{m}_2=-\frac{5}{2}$$[/tex]
So, from the given option the slope of the line [tex]$-5 / 2$[/tex] is shown by the equation [tex]$y=-\frac{5}{2} x-4$[/tex] that is option[tex]$\left.\mathbf{B}\right)$[/tex].
The complete question is,
Which of the following is the equation of a line that is perpendicular to the graph of y = 25x − 1?
A. y = 25x − 4
B. y = −52x − 4
C. y = −25x − 4
D. y = 52x −
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Simplify the following set expressions.
(-2,4]∪[0,9]
Answers
Answer: (-2,4) x (0,9)=36 simplified
y= 5/2x + 9 is the slope
Step-by-step explanation:
.
If the mean of this data is 95, find the missing data. 103, 99, 90, 86, 105, 96, ___
Answers
Answer: The missing value is 86
Step-by-step explanation: The mean of a data set is the same as the average. The formula for mean is the sum of the data values/(the number of data values). Right now there are only 6 data values and we are looking for a seventh. If we sum the 6 current values and divide by 6, we get a data set with a mean of 96.5. We need a lower mean. The data set we need has 7 points so the sum of all 7 points should be 7(95) since if we divide 7(95) by the number of points which is 7, we get 95 which is the mean we want. 7(95) is 665. We can subtract the sum of the current 6 points from 665 to find the value we want.