Which of the following points are on the line given by the equation y=1/2x?
Check all that apply
A. (2, 1)
B. (3, 15)
C. (4, 2)
D. (3, 6)
E. (-2, 1)
F. (-2, -1)
Answer: (2,1) (4,2) (-2,-1)
Step-by-step explanation:
thats apex, my dude
Answer:
Option A, C, F are the correct options.
Step-by-step explanation:
The given equation of line is [tex]y=\frac{1}{2}x[/tex]
Now we will plug in the values of points and validate the equation.
Option A. (2, 1)
[tex]y=\frac{1}{2}x[/tex]
[tex]1=\frac{2}{2}=1[/tex]
So this points lies on the given equation of line.
Option B. (3, 15)
[tex]15\neq \frac{3}{2}[/tex]
So the point is not on the line.
Option C. (4, 2)
[tex]2=\frac{4}{2}=2[/tex]
Point lies on the line.
Option D. (3, 6)
[tex]6\neq \frac{3}{2}[/tex]
Therefore point is not on the line.
Option E. (-2, 1)
[tex]1\neq \frac{-2}{2}[/tex]
Point does not lie on the line.
Option F. (-2, -1)
[tex]-1=\frac{-2}{2}=-1[/tex]
So this point lies on the line.
There are three points (2, 1), (4, 2) and (-2, -1) are on the line.
△FEB≅△CNB.
What is length of BN¯¯¯¯¯¯ ?
we know that
The CPCTC states that corresponding parts of congruent triangles are congruent
so
△FEB≅△CNB
that means
[tex]FE=CN\\FB=CB\\EB=NB[/tex]
we have
[tex]FE=6.1\ units\\FB=4.8\ units\\EB=3.8\ units[/tex]
therefore
[tex]BN=3.8\ units[/tex]
the answer is
the length of BN is [tex]3.8\ units[/tex]
The gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, 2.11, and $1.84 what is the median gas price and the difference of the first and third quartiles
Answer:
Median = $1.84
The difference of the first and third quartiles = $0.34
Step-by-step explanation:
Median
How to calculate the median of a small data or ungrouped data;
1. Arrange the data in ascending or descending order.
2. Choose the middle value. The middle value can be a single value or two value. If the middle value is a single value, then, that value is the median but if the middle values are two, the mean of the two middle values is evaluated to get the median.
Arranging the gasoline prices given in ascending order;
$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11
The middle value is a single number $1.84 in bold. Therefore, the median is $1.84.
Median = $1.84
First (Lower) Quartile
To calculate for the First (Lower) quartile,
1. Arrange the data give in ascending order.
2. The First (Lower) quartile, Q1 is then calculated using;
[tex]Q1 =\frac{1}{4} (n + 1)^{th}[/tex] term
where n is the total number of terms of the data. In the given question, the total number of terms, n = 7
[tex]Q1 =\frac{1}{4} (7 + 1)^{th}[/tex] term
[tex]Q1 =\frac{8}{4}^{th}[/tex] term
Q1 = 2nd term
3. Select the 2nd term of the given data already arranged in ascending order.
$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11
The First Quartile, Q1 = $1.75
Third (Upper) Quartile
To calculate for the third (upper) quartile,
1. Arrange the data give in ascending order.
2. The third (upper) quartile (Q3) is then calculated using;
[tex]Q3 =\frac{3}{4} (n + 1)^{th}[/tex] term
where n is the total number of terms. In the given question, the total number of terms, n = 7
[tex]Q3 =\frac{3}{4} (7 + 1)^{th}[/tex] term
[tex]Q3 =\frac{24}{4}^{th}[/tex] term
[tex]Q3 = 6^{th} term[/tex]
3. Select the [tex]6^{th} term[/tex] of the given data already arranged in ascending order.
$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11
The third (upper) quartile Q3 = $2.09
The difference between the first and third quartiles is called interquartile range.
Now, calculating the difference of the first and third quartiles
Interquartile Range = Q3 - Q1
$2.09 - $1.75 = $0.34
The difference of the first and third quartiles, Interquartile Range = $0.34
The range of f(x) = |-x| is _____.
y < 0 , y > 0 , y ≤ 0 , y ≥ 0
Answer:
y ≥ 0
Step-by-step explanation:
The real absolute value function is defined on the set of all real numbers, assigning each real number its respective absolute value. Formally, the absolute value of any real number x, is defined by:
[tex]|x|=x,\hspace{3}if\hspace{3}x\geq0\\|x|=-x,\hspace{3}if\hspace{3}x<0[/tex]
The domain of the function is all real numbers, and by definition, the absolute value of x will always be greater than or equal to zero and never negative. Hence:
[tex]Domain:\\x\in R\\Range:\\y\in R : y\geq0[/tex]
I attached you a picture of the graph.
Cameron bought four begonias in 6-in pots and a $19 fern at a fundraiser. he spent a total of $63. how much is each begonia?
The cost of each begonia is $11 at a fundraiser.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume the cost of each begonia x.
Since Cameron bought four begonias, the total cost of the begonias was 4x.
The total cost of the plants was the cost of the begonias plus the cost of the fern, or 4x + 19.
As per the question, the total cost was $63, so we can set up the equation:
4x + 19 = 63
To solve for x, we need to get x by itself on one side of the equation. We can do this by subtracting 19 from both sides:
4x + 19 - 19 = 63 - 19
This simplifies to:
4x = 44
To solve for x, we need to divide both sides by 4:
4x / 4 = 44 / 4
This simplifies to:
x = 11
Therefore, each begonia cost $11.
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what are the angle measures of the triangle? a)30, 60, and 90 b)45, 45, and 90 c)60,60,and 60 d)they cannot be determined.
the right answer is actually 30,60,90, I got the answer right on the test
The measures of the angles are 30°, 60°, and 90° for the given right triangle. The correct answer would be option (A).
What is right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the figure, as shown.
According to the figure,
perpendicular = 7√3
hypotenuse = 14√3
As per the question, we have
Since sin θ = perpendicular/hypotenuse
Substitute the values in the above formula, and we get
sin θ = 7√3/14√3
sin θ = 1/2
θ = 30°
This means the measures of the angles are 30°, 60°, and 90°.
Hence, the correct answer would be an option (A).
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The question seems to be incomplete, the missing part has been attached below.
Question Down Below...
I have another math question
Use lagrange multiplier techniques to find the local extreme values of f(x, y) = x2 − y2 − 2 subject to the constraint x2 + y2 = 16
The local extreme values of [tex]\( f(x, y) = x^2 - y^2 - 2 \)[/tex] subject to the constraint [tex]\( x^2 + y^2 = 16 \)[/tex] are -18 at points (0, 4) and (0, -4).
To find the local extreme values of [tex]\( f(x, y) = x^2 - y^2 - 2 \)[/tex] subject to the constraint [tex]\( x^2 + y^2 = 16 \)[/tex] using Lagrange multiplier techniques, we need to set up the Lagrangian function:
[tex]\[ L(x, y, \lambda) = f(x, y) - \lambda(g(x, y) - c) \][/tex]
where [tex]\( g(x, y) \)[/tex] is the constraint, c is a constant, and [tex]\( \lambda \)[/tex] is the Lagrange multiplier.
In this case, [tex]\( g(x, y) = x^2 + y^2 \)[/tex] is the constraint, and c = 16 .
So, the Lagrangian function is:
[tex]\[ L(x, y, \lambda) = x^2 - y^2 - 2 - \lambda(x^2 + y^2 - 16) \][/tex]
Now, find the partial derivatives of L with respect to ( x, y, ) and[tex]\( \lambda \)[/tex] and set them equal to zero to find critical points:
[tex]\[ \frac{\partial L}{\partial x} = 2x - 2\lambda x = 0 \]\[ \frac{\partial L}{\partial y} = -2y - 2\lambda y = 0 \]\[ \frac{\partial L}{\partial \lambda} = x^2 + y^2 - 16 = 0 \][/tex]
Solving the system of equations, we get two critical points:
1. When [tex]\( x = 0, y = 4, \lambda = -\frac{1}{4} \)[/tex]
2. When [tex]\( x = 0, y = -4, \lambda = -\frac{1}{4} \)[/tex]
Now, evaluate f(x, y) at these critical points:
1. f(0, 4) = 0 - 16 - 2 = -18
2. f(0, -4) = 0 - 16 - 2 = -18
Therefore, the local extreme values of [tex]\( f(x, y) = x^2 - y^2 - 2 \)[/tex] subject to the constraint [tex]\( x^2 + y^2 = 16 \)[/tex] are -18 at points (0, 4) and (0, -4).
Find an equation of the vertical line that passes through (x, y) = (−7, 1).
Take a look at the figure. What is the first step you should take to solve the formula?
A. Find the value of 6 squared. B. Cancel 6 into 6. C. Subtract 2 from 3. D. Multiply 3 by 6.
Please help me with 3 math questions!!! I will give 30 points and brainliest to whoever answers the best!
1. Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) = (answer) x (answer)(answer)
ƒ -1(4) = (answer)
2. Match each function with the expression representing its inverse function. Match one of the numbers with the correct letter.
1. y = x - 4
2. g(x) = -0.5x
3. k(x) = x
4. p(x) = x + 4
5. h(x) = 4x
6. ƒ(x) = x/2
a. 2x
b. x + 4
c. x - 4
d. -2x
e. 0.25x
f. x
3. The graph of a function g is shown below.
Find its inverse.
(picture below, my answer is NOT correct)
Can you check if I did this right? (:
What is the equation of the line that is perpendicular
Krista is planning to mow her grandparents lawn the rectangular yard is 10 yards by 12 yards but there is a square patio that has 12 foot sides in the middle of Krista kenmo 15 square feet per minute about how long will it take to finish the yard
A student has some 1 bills and $5 bills in his wallet. he has a total of 15 bills that are worth $47. how many of each type of bill does he have?
Answer:
B. seven $1 bills and eight $5 bills.
Step-by-step explanation:
n = number of $1 bills
m = number of $5 bills
Given:
n + m = 15
n($1) + m($5) = $47
Just solve 2 equations in 2 unknowns n and m:
(i) n + m = 15
(ii) n + 5m = 47
Subtract (i) from (ii) and get
4m = 32
m = 32/4 = 8
Then from (i) get
n = 15 - m = 15 - 8 = 7
There are 7 $1 bills and 8 $5 bills.
There are 20 counters in a box. A counter is chosen and replaced 100 times, the results are 32 blue and 68 red. How many of each color do you think there are in each box ?
Simplify the square root of 16x^6th power
Assume that you pay $2,849.84 in state property taxes every year. If your property has an assessed value of $41,302, what is your state’s property tax rate? a. 0.077 b. 0.032 c. 0.014 d. 0.069
Answer:
Therefore, The correct option is D. 0.069
Step-by-step explanation:
Amount of the money paid in the state property taxes every year = $2849.84
The property owned has an assessed value.
Now, the assessed value of the property is $41302
We need to find the state's property tax rate.
[tex]\text{So, State's property tax rate = }\frac{\text{state's property tax}}{\text{assessed value}}\\\\\text{State's property tax rate = }\frac{2849.84}{41302}\approx 0.069[/tex]
Therefore, The correct option is D. 0.069
If r^n=a, then which of the following are true statements? Check all that apply.
a. a^1/n=r b. a^r=n c. n sq a =r d. n^1/r=a
Helpppppppppppppppppppppppppppppp
replace the numbers inside () for x
f(4) = -4(4)-3 = -16 -3 = -19
G(-4) = 2(-4)^2 -3(-4) = 44
What is the equation of a line perpendicular to the line 7x+4y=15+2x and passes through the point (0.5,0.5)?
what is the slope of the line (2,5) and 7,25)
Which description matches the algebraic expression 45n
A.the sum of a number and 45
B. the quotient of a number and 45
C. the product of a number and 45
D. the difference of a number and 45
Answer: The correct description is (C). the product of a number and 45.
Step-by-step explanation: We are given to select the correct description that matches the algebraic expression 45n.
Let, 'n' be a number.
Then, the sum of 'n' and 45 is written as (45 + n).
So, option (A) is incorrect.
The quotient of 'n' and 45 is given by [tex]\dfrac{n}{45}~\textup{or}~\dfrac{45}{n}.[/tex]
So, option (B) is incorrect.
The product of 'n' and 45 is
45 × n = 45n, which means 45 times of a number 'n' or n times of 45.
So, option (C) is correct.
The difference of 'n' and 45 is (n - 45) or (45 - n), according as 'n' is greater or 45 is greater.
So, option (D) is incorrect.
Thus, the correct option is (C).
Write the quadratic function with the following transformations: vertical shrink by 3, left 4, down 9.
The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartile range
Find -8 ÷ 1/2 =
a.1/16
b.16
c.-1/4
d. -4
The equation y=-5.131x^2 31.821x-3.333 approximates the number of people standing in line to catch commuter train x hours after 5am what is the best estimate for the number of people in line at 9am
41 is the best estimate for the number of people in line at 9am
What is Equation?Two or more expressions with an Equal sign is called as Equation.
y equal to minus five point one three one x square plus Thirty one point eight two one x minus three point three three three.
y=-5.131x²+ 31.821x-3.333 approximates the number of people standing in line to catch commuter train x hours after 5am.
There is 4 hours in between 9 am and 5 am. so x=4
Substitute x=4 into the equation
y=-5.131(4)²+ 31.821(4)-3.333
y=-5.131(16)+127.284-3.333
y=-82.096+127.284-3.333
y=41.855
Hence 41 is the best estimate for the number of people in line at 9am
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Create an algebraic expression or equation that might model any of the behaviors you observe. Then, explain your reasoning.
If cats prowl, mice will scatter. Mice are scattering