HELP If f(x)=2x-12, then f^-1(x)=?
In square QRST, points U and V are midpoints. If the square has a side length of 18 mm, what is the probability that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest thousandth. A. 0.028 B. 0.056 C. 0.125 D. 0.222
Answer:
C.
Step-by-step explanation:
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
which of the following is equal to the rational expression when x does not equal -6
x^2-36 / x+6
A.) x^2-6
B.) x+6
C.) 1/x-6
D.) x-6
The rational equation [tex]x^2 - 36 / (x+6)[/tex], when x is not -6, simplifies to x - 6. The correct answer is D.) x - 6.
Explanation:This is a Mathematics problem related to algebraic expressions and rational expressions. Given the equation [tex]x^2 - 36 / (x+6)[/tex], when x is not equal to -6, we can simplify this equation by factoring. Note that x^2 - 36 is a difference of two squares, which factors into (x-6)(x+6). So we now have [tex](x-6)(x+6) / (x+6).[/tex]
Since x is not -6, we can cancel out the (x+6)s, leaving us with x-6. Therefore, the answer is D.) x - 6. It's important to be careful with the conditions given in the problem, as they can affect the result.
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let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?
A monomial term has the form ax^n where the coefficient is a and the degree is
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]
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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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 help me please? I don't know how to do this problem, could someone explain step by step? It would be greatly appreciated. I've also included 15 points to whoever answers this.
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.
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!
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
Answer:
35
Step-by-step explanation:
The volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Suppose the base of the pyramid has length = L units and width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
V = (Base area x H) / 3
The volume of a pyramid varies jointly with the base area of the pyramid and its height.
The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches.
Then the volume of a pyramid with a base area of 15 square inches and a height of 7 inches will be
V = (15 x 7) / 3
V = 35 cubic inches
Hence, the volume of a pyramid with a base area of 15 square inches and a height of 7 inches is 35 cubic inches.
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A new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4 -9 , where x represents the number of parking spots in the first row . how many spots are in the parking lot if there are 32 parking spots in the first row
its 69---------------------------------
I NEED HELP ASAP! PLS HELP ME!
2.11*7 = 14.77
2.11*9 = 18.99
the answer is y=2.11x
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 slope of a line that is perpendicular to the line y= -1/2x +5?
A(-2
B(- 1/2
C( 1/2
D( 2
write a conditional statement that correctly describes each venn diagram
I REALLY NEED HELP WITH THIS!!!!!!!!!!!!
A conditional statement that correctly describes each Venn diagram include the following;
I. If m∠A = 40, then it represent acute angles.
II. If 2x = 4, then x is equal to 2.
What is a conditional statement?In Mathematics, a conditional statement is a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."
Where:
P and Q represent sentences or statements.
Part I.
Based on the Venn diagram shown in the image above, we can logically deduce the following conditional statement;
"If m∠A = 40, then it represent acute angles."
All acute angles are less than 90 degrees.
Part I.
Based on the Venn diagram shown in the image above, a conditional statement that correctly describes it can be written as follows;
"If 2x = 4, then x is equal to 2."
Proof:
2x = 4
x = 4/2
x = 2
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A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.
What is the Equation of a Line?We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.
The side that is parallel to side s is q.
Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.
Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):
y - 6 = -1(x - 3)
y - 6 = -x + 3
y = -x + 3 + 6
y = -x + 9
Equation of the side that is parallel to side s is: y = -x + 9.
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can someone please help
Find the measurement of arc AB
45°
60°
90°
180°
the triangle shown in the middle is a 45-90-45 degree triangle ( the orange lines on the legs mean legs are equal)
so if you were to mirror it there would be 90 degrees between A & B
answer is 90 degrees
A function is given. f(x) = 5x − 7; x = 2, x = 3 (a) determine the net change between the given values of the variable.
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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What is the volume of a hemisphere with a diameter of 6 feet to the nearest hundredth of a cubic foot?
The volume the hemisphere is 56. 55 cubic feet
what is the volume of the hemisphere ?
The volume of a hemisphere is the space occupied by the hemisphere.
Formula used to find volume of the hemisphere is :
V = 2/3 × π × r ^3
Given : diameter = 6 feet
r = d/2 = 3 feet
V = 2/3 × π × 3 ^3
⇒ 2/3 × 22/7 × 27
V = 56.5486 cubic feet
round off to nearest hundredth is :
V = 56. 55 cubic feet
Hence , the volume of hemisphere is 56. 55 cubic feet .
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Solve the triangle. A = 54°, b = 11, c = 8
options:
No triangles possible
a ≈ 13.4, C ≈ 49.6, B ≈ 76.4
a ≈ 13.4, C ≈ 45.6, B ≈ 80.4
a ≈ 9, C ≈ 45.6, B ≈ 80.4
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
A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip
they can drive 45 miles on 1 gallon, so divide 500 by 45
500/45 = 11.11
they would need 11.11 gallons of gas
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
find the point that splits segment cd in half if point c is located at (-2,4) and point d is located at (3,7)
Answer: The required co-ordinates of the point are (0.5, 5.5).
Step-by-step explanation: We are given to find the co-ordinates of the point that splits CD in half if point C is located at (-2,4) and point D is located at (3,7).
The point that splits the line segment CD in half will be the mid-point of the segment CD.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the given point that splits CD in half are given by
[tex]\left(\dfrac{-2+3}{2},\dfrac{4+7}{2}\right)=\left(\dfrac{1}{2},\dfrac{11}{2}\right)=(0.5,5.5).[/tex]
Thus, the required co-ordinates of the point are(0.5, 5.5).