The system of equations has exactly one solution, but it is located at (16,15), not (–8, 3), (–4, 3) or any other points. So, none of the provided options are true.
Explanation:The task is to identify the statement that is correct about the system of equations –3x + 4y = 12 and x – y = 1. To discover this, we must solve the system which consists of these two linear equations. Adjust equation two to be in the same format as equation one by adding y to both sides which gives x = y + 1. Substitute it into the first equation: -3(y + 1) + 4y = 12, which simplifies to -3y - 3 + 4y = 12, giving y = 15. Substitute y = 15 to the second equation, it gives us x = 16. Hence, none of the provided solutions is correct, because the system has exactly one solution at (16,15).
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A function is given. f(x) = 5x − 7; x = 2, x = 3 (a) determine the net change between the given values of the variable.
help
The coordinate grid shows the graph of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (5, 0) as its solution?
A and B
C and D
B and D
A and D
Which expression is equivalent to (a^8)^4
The expression [tex](a^8)^4[/tex] is equivalent to [tex]a^{32}[/tex].
The correct option is [tex]a^{32}[/tex].
To simplify the expression [tex](a^8)^4[/tex], we need to apply the exponent rule for raising a power to a power. According to this rule, when we have an exponent raised to another exponent, we multiply the exponents together.
In this case, [tex](a^8)^4[/tex] can be simplified as [tex](a^8)^4[/tex], which equals [tex]a^{32}[/tex]. Therefore, the expression [tex](a^8)^4[/tex] is equivalent to [tex]a^{32}[/tex].
To understand why we multiply the exponents, think of it this way: [tex](a^8)^4[/tex] means we have the base a raised to the 8th power, and that whole expression is raised to the 4th power. When we multiply the exponents, 8 x 4, we get 32. This tells us that we have a multiplied by itself 32 times, which is represented by [tex]a^{32}[/tex].
Therefore, the correct answer is [tex]a^{32}[/tex].
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PLEASE HELP!! I WILL GIVE 50 POINTS AND BRAINLIEST ANSWER IF YOU PLEASE JUST HELP ME!!! ITS ONLY 8TH GRADE SO IT SHOULDNT BE THAT HARD!!! PLEASE!!!!! HELP!!!!!!!!
Task 5—Polynomial Division and the Remainder Theorem
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
Part 1. Show all work using long division to divide your polynomial by the binomial.
Part 2. Show all work to evaluate f(a) using the function you created.
Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
Find the length and width of the rectangle if the length is 12 units more then the width and the perimeter is 7 times the width
can someone please help
You're setting sales goals for next month. You base your goals on previous average sales. The actual sales for the same month for the last four years have been 24 units, 30 units, 23 units, and 27 units. What is the average number of units you can expect to sell next month?
A. 26
B. 28
C. 30
D. 104
You invest $300 in an account that has an interest rate of 1.3%, compounded monthly. How much money is in the account after 20 years? Round your answer to the nearest whole number.
Answer:
$389
Step-by-step explanation:
The formula for final value of compound interest is given by
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Here, we have
P = $300
r = 0.013
t = 20 years
n = 12
Substituting these values and find A
[tex]A=300(1+\frac{0.013}{12})^{12\cdot20}\\\\A\approx389[/tex]
Therefore, in 20 years, the account will have $389.
find a1 for the geometric series with r=3 and s6=364
kelvin to fahrenheit f= 9/5(k-273.15) +32
Remember that angle measures in degrees and radians are based on the proportion of the angle to a complete circle, meaning a fraction of either 360° or 2π. Given that 360° = 2π, we can convert between degrees and radians. With this information in mind, set up a proportion and use it to convert an angle of 225° into radians.
what are the domain and range for each of the following functions? write your answer using inequality symbols of possible PLEASE HELP :) ( on both graphs)
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113. Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
What is the value of X in the isosceles trapezoid below?
A. 81 B. 15 C. 11 D. 41
Without additional details, this question can't be answered accurately. Typically, one uses properties of an isosceles trapezoid, such as base angles or diagonal lengths, to find unknown variables. More information would allow a more precise answer.
Explanation:Without a visual or additional information about the isosceles trapezoid, it would be challenging to accurately identify the value of X. However, typically in a problem like this, you would use the properties of an isosceles trapezoid, such as its base angles or the lengths of its diagonals, to find the value of an unknown variable. If given the measures of the other sides, it might be possible to calculate the remaining length. An example would be a problem like this: If the bases of an isosceles trapezoid are 10 and 20 units long, respectively, and the non-parallel sides (legs) are equal and represented by X, then based on specific conditions, X could potentially be calculated.
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HELP If f(x)=2x-12, then f^-1(x)=?
I NEED HELP ASAP! PLS HELP ME!
2.11*7 = 14.77
2.11*9 = 18.99
the answer is y=2.11x
What are the vertical and horizontal asymptotes for the function f(x)= x^2+x-6/x^3-1?
Answer:
Hence, x=1 is the vertical asymptote
Hence, y=0 is the horizontal asymptote
Step-by-step explanation:
We have been given an expression
[tex]\frac{x^2+x-6}{x^3-1}[/tex]
For vertical asymptote we equate the denominator to zero that means
[tex]x^3-1=0[/tex]
[tex]\Rightarrow x^3=1[/tex]
[tex]\Rightarrow x=1[/tex]
Hence, x=1 is the vertical asymptote.
Now, for horizontal asymptote we compare the degree of numerator and denominator
Here degree of numerator is 2 and degree of denominator is 3
When degree of denominator is greater than degree of numerator y=0 is the horizontal asymptote
Hence, y=0 is the horizontal asymptote.
The cycling tour has 340 bottles of water for each week. There are ten people on the tour. How many bottles of water is that for each person per week?
Segment RT is a mid-segment of triangle CDE. What is the length of segment CE?
A) 38 in.
B) 32 in.
C) 24 in.
D) 9.5 in.
Determine the solution set of x^2-80=0.
Answer: The required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]
Step-by-step explanation: We are given to determine the solution set of the following quadratic equation :
[tex]x^2-80=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given equation does not contain the term involving x, so we will use the method of square root to solve the given equation.
The solution of equation (i) is as follows :
[tex]x^2-80=0\\\\\Rightarrow x^2=80\\\\\Rightarrow x=\pm\sqrt{80}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm\sqrt{16\times5}\\\\\Rightarrow x=\pm4\sqrt5.[/tex]
Thus, the required solution set of the given equation is [tex]\{4\sqrt5,-4\sqrt5\}.[/tex]
A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $15 the next year?
f(n) = 2n + 35
f(n) = 20n + 2
f(n) = 10n + 35
f(n) = 2n + 10
Answer:
The correct answer is A, "f(n) = 2n + 35."
Step-by-step explanation:
I got it correct on the test. I hope this helps!
A monomial term has the form ax^n where the coefficient is a and the degree is
What is the slope of a line that is perpendicular to the line y= -1/2x +5?
A(-2
B(- 1/2
C( 1/2
D( 2
One angle in a pair of complementary angles is 4/5th of the other . Find the measure of the two angles
complementary angles equal 90 degrees
angle 1 = x
angle 2 = 4/5x
x + 4/5x = 90
9/5x = 90
x = 90 / 9/5 = 50
angle 1 = 50 degrees
angle 2 = 4/5 x 50 = 40 degrees
The ages of 3 brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the younger brother?
A. 14
B. 18
C. 22
D. 26
Put these substances in order of density with the most dense first and the least dense last.
air
pumpkin pie
whipped cream
steel
Answer: Hello there!
We know that:
[tex]density = \frac{mass}{volume}[/tex]
This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.
The 4 that we have here are:
Air, Pumpkin pie, Whipped cream, and Steel
It is easy to assume that the steel is the more dense object.
The pumpkin pie comes second
third is the whipped cream, which is cream with a lot of tiny air bubbles inside
the less dense object is the air.
then the order is:
Steel, pumpkin pie, whipped cream, air.
Answer both please !
36) the equation would be: 44 x 0.63 =
37) 6.1% = 0.061
59150 x 0.061 = 3608.15 increase
Doug entered a canoe race. he rowed 3 1/2 miles in 1/2 hours what is his average speed in miles per hour
Which of these is not an example of a geometric shape or form?
A convex polyhedron has 30 edges and 8 fewer vertices than faces. How many faces does the polyhedron have? Euler’s formula: V + F = E + 2 12 18 20 24
Answer:
C or 20
Step-by-step explanation:
Just got the answer on Edge :)
Answer:
c
Step-by-step explanation: