Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3
Find the range of ƒ(x) = –2x – 5 for the domain {–2, –1, 1, 2}.
By substituting each value of the domain of x in the function and solving it we will get the range of the function for respective domain
The given function is :
f(x) = -2x - 5
For x = -2 , f(x) is:
f(-2) = (-2*-2) - 5 = 4 - 5 = -1
For x = -1, f(x) is :
f(-1) = (-2*-1) - 5 = 2 - 5 = -3
For x = 1 , f(x) is
f(1) = (-2*1) - 5 = -2 -5 = -7
For x = 2, f(x) is
f(2) = (-2*2) - 5 = -4 -5 = -9
The range is -1 , -3 , -7 , -9
Hope this helps ..!!
Thank you :)
What is the simplest form of (8x2)3?
Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.
Answer:
Step-by-step explanation:
Sylvia's expression
H: Price of hat
0.05: percent sales tax
0.05 h: amount of sales tax Sylvia will pay
h+0.5 h: total amount Sylvia will pay
Jin's Expression
1.05: One whole plus percent sales tax
H: price of hat
1.05 h: total amount Sylvia will pay
Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?
Answer:
the answer is aStep-by-step explanation:
i did the test
Graph this function f(x)=x^2-4x-5
Answer:
Step 1: a = 1, b = -4
Step 2: x = 2, f(2) = -9
Step 4: (5,0) and (-1,0)
Step 6: f(0) = -5
On the graph the points plotted are (-1,0) , (0,-5) , (2,-9) , and (5,0)
Choose the option that correctly completes the statement.
A triangle must have _____ one acute angle.
at most
at least
What is the area of this polygon?
Find the simplified form of the expression. Give your answer in scientific notation.
(9 x 10 5)(6 x 10 -7)
A. 5.4 x 10 -34
B. 1.5 x 10 -1
C. 5.4 x 10 -1
D. 1.5 x 10 -34
.help please and thank you
Construction is under way at an airport. This map shows where the construction is taking place. If Road A and Road B are parallel, what is the distance from P to Q on Road C?
Which statement about this product is true?
0.44 ×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −5 3/4 because 4/4 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6
It is less than −5 3/4 because multiplying by a number less than 1 gives a smaller number.
Answer:
It is greater than −3 because 0.44 × 5 3/4 is less than 1/2 × 6
Step-by-step explanation:
i guessed it and it was right so ye.
Graph the following inequality and then select the correct graph below.
y ≤ x - 2
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y\leq x-2[/tex]
The solution of the inequality is the shaded area below the solid line
The equation of the line is [tex]y= x-2[/tex]
The slope of the line is positive [tex]m=1[/tex]
The y-intercept of the line is the point [tex](0,-2)[/tex]
The x-intercept of the line is the point [tex](2,0)[/tex]
therefore
the graph in the attached figure
The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.
A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pink or orange
helppppppppppppppppppppppp
Picture included!
What is the slope of the line shown in the graph?
A.) -1
B.) -2
C.) 1/2
D.) 2
Which of these sequence is an arithmetic sequence??
Answer:
a and c
Step-by-step explanation:
helpppppppppppppppppppppppppppppp
Suppose you find a rock and measure that 12.5% of the original uranium-235 still remains it, while the other 87.5% has decayed into lead-207. about how old is the rock?
About 65 out of 300 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
To find the percentage of students who prefer walking, divide the number of students who prefer walking by the total number of students and multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.
Explanation:To find the percentage of students who prefer walking, you divide the number of students who prefer walking by the total number of students and then multiply by 100. In this case, 65 students prefer walking out of a total of 300 students.
So, you divide 65 by 300 and multiply by 100 to get the percentage.
Percentage of students who prefer walking = (65/300) * 100 = 21.67%
Learn more about Percentage Calculation here:https://brainly.com/question/32197511
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The data set represents a bimonthly progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. x 0 2 4 6 8 y 2.86 2.89 2.93 3.04 3.11 a. c. b. d.
Answer:
y = 0.0027*x^2 + 0.0111*x + 2.8574
Step-by-step explanation:
Using Excel the procedure is:
First, insert x and y values in a table format, as can be seen in the figure
Then, select data
Next, go to insert tab and inside charts options select scatter plot without any lines
Finally, select a point in the plot, right-click, add trend line, polynomial order 2 and check display equation option
can someone help me with this?
A sine function has the following key features:
Period = 12
Amplitude = 4
Midline: y = 1
y-intercept: (0, 1)
The function is not a reflection of its parent function over the x-axis.
How would this graph look??
Final answer:
A sine function with an amplitude of 4, period of 12, midline of y = 1, and y-intercept of (0, 1) would oscillate between 5 and -3, with a wave repeating every 12 units along the x-axis and starting upward from the y-intercept.
Explanation:
The graph of the sine function with the given properties will have the following characteristics:
The amplitude is 4, which means the function will oscillate 4 units above and below the midline.
The period is 12, indicating that it takes 12 units along the x-axis for the function to repeat its pattern.
The midline is y = 1, so the center of oscillation is not at the x-axis but is shifted upwards by 1 unit.
The y-intercept is (0, 1), which means the function starts at the midline.
Since the function is not a reflection over the x-axis, it means that it starts off going upwards from the midline.
Mapping these points, we can sketch the sine graph starting from the point (0, 1), curving up to a maximum of 5 (midline + amplitude), then down through the midline, reaching a minimum of -3 (midline - amplitude), and back to the midline at (12, 1), completing one full cycle.
What are the roots of the polynomial equation?
x2−14x−32=0
We are given the quadratic equation :
[tex] x^{2} -14x-32=0 [/tex]
Now let us use AC method to factorise it.
Step 1:
Find product of A and C
A=1 and C =-32
A*C =-32
Step 2:
Find factors of -32 such that they add up to give -14.
Factors of -32 that add up to give -14 are -16 and 2.
Step 3:
Rewrite the equation using factors found in step 2.
[tex] x^{2} -16x +2x -32 =0 [/tex]
Step 4:
Factoring by grouping.
[tex] x(x-16) +2(x -16) =0 [/tex]
[tex] (x-16) (x+2) =0 [/tex]
Step 5:
Find roots.
x-16=0 gives x=16
x+2=0 gives x=-2
Answer : Roots of the given Polynomial equation are 16 and -2.
We are given the quadratic equation :
[tex] x^{2} -14x-32=0 [/tex]
Now let us use AC method to factorise it.
Step 1:
Find product of A and C
A=1 and C =-32
A*C =-32
Step 2:
Find factors of -32 such that they add up to give -14.
Factors of -32 that add up to give -14 are -16 and 2.
Step 3:
Rewrite the equation using factors found in step 2.
[tex] x^{2} -16x +2x -32 =0 [/tex]
Step 4:
Factoring by grouping.
[tex] x(x-16) +2(x -16) =0 [/tex]
[tex] (x-16) (x+2) =0 [/tex]
Step 5:
Find roots.
x-16=0 gives x=16
x+2=0 gives x=-2
Answer : Roots of the given Polynomial equation are 16 and -2.
find the arithmetic mean an of an-1 = 3.9 and an+1 = 7.1
a. 11
b. 5.5
c. 3.7
d. 1.6
Answer:
Step-by-step explanation:
Alright, lets get started.
We are asked to find arithmetic mean of two terms given.
For finding arithmetic mean, we add up the values and divide the sum by the number of values.
Here we have given two numbers , below
[tex]a_{n-1}=3.9[/tex]
[tex]a_{n+1}=7.1[/tex]
So, mean of these two numbers will be = [tex]\frac{3.9+7.1}{2}[/tex]
So, mean of these two numbers will be = [tex]\frac{11}{2}=5.5[/tex]
So, arithmetic mean for given two numbers are 5.5 : Answer (b)
Hope it will help :)
b. 5.5
Step-by-step explanation:FOR LEARNING ONLY.. not necessary to read, but I hope it helps!
you start with:
[tex]a_{n-1}=3.9\\a_{n-1}=7.1[/tex]
arithmetic questions like this are like finding an average.
so you add the values while dividing by the total of values there are.
in this case:
[tex]\frac{7.1+3.9}{2}[/tex]
which is simplified to:
[tex]\frac{11}{2}[/tex]
then decimal:
[tex]5.5[/tex]
PLEASE HELP
8.04b
1. Eliminate the parameter.
x = 5t, y = t + 8
A) y = 5x + 8
B) y = x divided by five + 8
C) y = 5x - 8
D) y = x divided by five - 8
2. Eliminate the parameter.
x = square root of x , y = 3t + 7
A) y = 3x2 + 7
B) y = 3 square root of x + 7, x ≥0
C) y = 3 square root of x - 7, x ≥0
D) y = 3x2 - 7
3. Eliminate the parameter.
x = t2 + 2, y = t2 - 4
A) y = x - 6, x ≥ 1
B) y = x + 6, x ≥ 1
C) y = x2 - 6, x ≥1
D) y = x2 + 6, x ≥1
4. Eliminate the parameter.
x = 4 cos t, y = 4 sin t
please help attachment on please don't skip any parts
will get brainliest
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form.
Using the completing-the-square method the vertex form of the function
f(x) = x² + 10x + 7 is f(x) = (x + 5)² - 18
The given function is:
f(x) = x² + 10x + 7
Comparing f(x) = x² + 10x + 7 with f(x) = ax² + bx + c
a = 1, b = 10, c = 7
(b/2)² = (10/2)² = 5²
Add and subtract 5² to the right hand side of the equation
f(x) = x² + 10x + 5² + 7 - 5²
f(x) = x² + 10x + 5² + 7 - 25
f(x) = x² + 10x + 5² - 18
f(x) = (x + 5)² - 18
f(x) = (x + 5)² - 18 is of the form f(x) = a(x - h)² + k which is the vertex form of a quadratic equation
Therefore, the vertex form of the function f(x) = x² + 10x + 7 is
f(x) = (x + 5)² - 18
Learn more here: https://brainly.com/question/19105786
Calculate the principal amount which earns $500 simple interest over 3 Years at a rate of 8% p.a round to the nearest cent
Final answer:
To find the principal amount that would earn $500 in simple interest over 3 years at an 8% annual rate, divide the interest by the product of the rate and period. The principal amount is $2083.33.
Explanation:
Calculating the Principal Amount from Simple Interest
To calculate the principal amount that earns $500 in simple interest over 3 years at a rate of 8% per annum, we can utilize the simple interest formula:
Interest = Principal × rate × time. Plugging in the known values, we get $500 = Principal × 0.08 × 3. This yields the equation $500 = Principal × 0.24.
To find the Principal, we divide $500 by 0.24, which gives us approximately $2083.33. Therefore, the initial principal amount is $2083.33.