The function with a zero of 1/2 is f(x) = (x - 1/2)^2
How to determine the function?The zero is given as:
Zero = 1/2
This means that:
x = 1/2
Subtract 1/2 from both sides
x -1/2 = 0
Square both sides
(x - 1/2)^2 = 0
Express as a function
f(x) = (x - 1/2)^2
Hence, the function with a zero of 1/2 is f(x) = (x - 1/2)^2
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Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
I’m not sure what it’s asking
Answer:
A, D, E, F and G
Step-by-step explanation:
It is asking for the elements of the set A which are integers
Please help! The question is in the image.
Answer:
Step-by-step explanation:
what is the length of AB? round to one decimal place
Answer:
A=0
Step-by-step explanation:
DAC=BAD
A=0
makayla is taking a math course and is working with the perimeter of rectangles. she knows the perimeter and length of her rectangle but wants to solve for the width. rearrange the following equation for w, where p is the perimeter, l is the length, and w is the width of the rectangle.
The equation for w(width of rectangle) is: W = (P - 2L)/2
The correct answer is an option (c)
We know that the formula for the perimeter of the rectangle is:
P = 2L + 2W
where P is the perimeter of the rectangle,
L is the length of the rectangle,
and W is the width of the rectangle.
We need to rearrange this equation for w.
Consider equation,
P = 2L + 2W
P - 2L = 2L + 2W - 2L ......(subtract 2L from each side of equation)
P - 2L = 2W
(P - 2L)/2 = 2W/2 .....(divide each side by 2)
W = (P - 2L)/2
Therefore, the correct answer is W equals the quantity P minus 2 times L all over 2
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The complete question is:
Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.
a) W = 2P − 2L
b) W = P/ 2-2 times L
c) W equals the quantity P minus 2 times L all over 2
d) W = 2P + 2L
Answer:
c) W equals the quantity P minus 2 times L all over 2
Step-by-step explanation:i just took the test
In.a two - digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the number reversed. Find the number
The number is 48.
Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.
According to the given information, the units digit is twice the tens digit. So we have the equation:
y = 2x
If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.
Therefore, we can write the equation as:
2(10x + y) = 10y + x + 12
Simplifying this equation, we get:
20x + 2y = 10y + x + 12
19x = 8y + 12
19x - 8y = 12
We have two equations now:
y = 2x
19x - 8y = 12
Substituting the value of y from the first equation into the second equation, we get:
19x - 8(2x) = 12
19x - 16x = 12
3x = 12
x = 4
Now we can substitute the value of x back into the first equation to find y:
y = 2x
y = 2(4)
y = 8
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write down what you know from the markings
Answer:
YMCA means nothing without the A
Step-by-step explanation:
What is the area of an rectangle with sides lengths of 5/12 foot and 2/3 foot
Answer:
The area of given rectangle is 5/18 square feet.
Step-by-step explanation:
Let l be the length of rectangle and w be the width of the rectangle.
Given information is:
Length = l = 5/12 foot
Width = w = 2/3 foot
The area of a rectangle is given by the formula
\(Area = Length*Width\\A = l*w\)
Putting the values for width and length
\(A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}\)
The area is 5/18 square feet.
Hence,
The area of given rectangle is 5/18 square feet.
A parking lot has 85 cars and trucks in it. There are 17 more trucks than cars. How many each are they
Answer:
there are 51 cars and 34 trucks
hope this helps
Step-by-step explanation:
2) Which expressions are equal to 6^4?
A. 10
B. 216
C. 24
D. 6*6*6*6
E. 25
F. 62*62
Answer:
Step-by-step explanation:
D
José labels the triangle shown. Is this the only triangle he can draw with a 16 cm side opposite a 53° angle and an 8 cm side adjacent to the 53° angle?
A. yes, because A is acute and a < h
B. yes, because A is acute and a > b
C. no, because A is obtuse and a
D. no, because A is acute and h< a < b
Answer:
B. Yes, because A is acute and a < h
Step-by-step explanation:
Answer:
B) yes, because A is acute and a > b
Step-by-step explanation:
The other person was technically right, it is option B, but they put h instead of b
using binomial expansion evaluate (0.99)^6
Answer:
.92367 I think. I'm I'm wrong I'm sorry
HELPP PLEASEE ��2222 is the diameter of a circle. The coordinates are �(−2, −3) and �(−12, −5). At what coordinate is the center of the circle located? A. (5, 1) B. (−5, −1) C. (−4, −7) D. (−7, −4)
Answer:
(-7, -4) which is your answer D in the list of options
Step-by-step explanation:
The center of the circle should be located half way in between the given points on the plane.
Then the center ahs to be located half way for the x coordinates of both points:
half way between -12 and -2 (notice that there is a difference of 10 units between them), therefore half way would be at 5 units to the right from the furthest point, that is -12 + 5 = -7
Similarly, for the y coordinate, we see that the difference is between -5 and -3 (a difference of two units) therefore the center point will be located half way (that is one unit) up from the lowest y coordinate: -5 + 1 = -4
Then the center of the circle is located at (-7, -4)
it takes 1 minute to bake 6 cookies how many cookies could you bake in 2 minutes
8/9 divided by 2/9 draw it in a model to represent it
Answer:
4
Step-by-step explanation:
kcf
8/9 x 9/2= 72/18
=4
Find the value of x in each of the following A)2x=10 B)3x=27
What is the value of the 5 in 564,242?
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
HELP PLEASE HELP PLEASE
Answer:
D 1/4
Step-by-step explanation:
Your question is a problem in reading comprehension. It tells you its own answer.
x is always 1/4
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
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A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
Which rule describes the x-coordinates in the translation?
x + 0
x + 6
x – 6
x + 4
Answer:
(b) x + 6
Step-by-step explanation:
You want the rule for the x-coordinate when the transformation is a right shift of 6 units.
Right shiftA point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.
The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:
x ⇒ x+6 . . . . . . the x-coordinate transformation rule
<95141404393>
9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.
We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:
BD = 2 * AB * AY / XZ
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.
Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,
AB/AX = AC/AY = BC/BZ
Since AB = BC (given that B is a vertex of both triangles), we have:
AB/AX = AC/AY
We can rewrite this equation as:
AB/AC = AX/AY ----(1)
Since BD is a median of triangle ABC, we have:
BD = 1/2 AC ----(2)
Similarly, since YW is a median of triangle XYZ, we have:
YW = 1/2 XZ ----(3)
From equation (1), we have:
AB/AC = AX/AY
Multiplying both sides by AC, we get:
AB = AX * (AC/AY)
Now, using equation (2), we can substitute AC/2 for BD:
AB = AX * BD/AY
Finally, using equation (3), we can substitute XZ/2 for YW:
AB = (BD/2) * (XZ/AY)
Therefore, we have found that:
AB = (BD/2) * (XZ/AY)
Hence, we can solve for BD:
BD = 2 * AB * AY / XZ
Note that we need to know the actual values of AB, AY, and XZ to find BD.
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f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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Which expression could help you find the distance
between (10, 4) and (-6, 4)?
O [10] +1-41
O 1101 +141
O 1-61 +141
O |10| +-61
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
Correct Expression :
\(\qquad \tt \rightarrow \: |10| + | - 6| \)
\(\qquad \tt \rightarrow \: distance = 16\:\: units\degree\)
____________________________________
\( \large \tt Solution \: : \)
\( \textsf{Using distance formula -} \)
\(\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } \)
\(\qquad \tt \rightarrow \: \sqrt{( - 6 - 10) {}^{2} + (4 - 4) {}^{2} } \)
\(\qquad \tt \rightarrow \: \sqrt{( - 16) {}^{2} + 0} \)
\(\qquad \tt \rightarrow \: \sqrt{256} \)
\(\qquad \tt \rightarrow \: 16 \: \: units\)
For short it can be expressed as :
\(\qquad \tt \rightarrow \: |10| + | - 6| = 10 + 6 = 16\)
[ y - coordinate of both the points are same ]
Correct option - D
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
what type of number is -1.48298
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if
any; d. the y-intercept, if any; and e. the missing function value, indicated by the question mark
below.
f(9) = ?
a. Domain - [0, 20]
b. Range - [8, ∞)
c. X-intercepts - undefined.
d. Y-intercept - 8
e. Missing function value f(9) = 11
What is the explanation for the above ?a. The function's domain is the range of x-values over which the graph is defined. In this case, the domain is from 0 to 20, inclusive - [0, 20].
b. The function's range is the set of all possible y-values that the function takes. Since the graph starts from unit 8 on the y-axis, the range would be from 8 to positive infinity - [8, ∞).
c. since the graph does not touch the x- axis at any point, we can state that the there is no x-intercept orthat the x -intercept is undefined.
d. The y-intercept is the point where the graph intersects the y-axis. In this case, the y-intercept is at unit 8 on the y-axis.
e. Based on the graph the point (9, 11) corresponds to the value of y when x is 9, then f(9) would be equal to 11.
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Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?
Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
The angle between 0° and 360° and is coterminal with a standard position angle measuring 1186° angle is
Answer:
106
Step-by-step explanation:
Is this rational or irrational?
Answer:
Irrational.
Step by step explanation:
\(\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}\)
Which linear inequality is represented by the graph?
y > 2x + 3
Oy< 2x + 3
Oy> -2x + 3
Oy< -2x + 3
From the question, we have the following set of points(with the format (x,y)):
\(\lbrace(-3,10.5),(-0.5,3),(2,-4.5),(4.5,-12),(7,-19.5)\rbrace\)Linear equations have the following format:
\(y=mx+b\)If you substitute two points from our set in this equation, you can find the coefficients and determinate the linear function that passes through those points.
Let's take the first two points for example:
\(\begin{cases}10.5=-3m+b \\ 3=-0.5m+b\end{cases}\)Solving this system, will give you the following coefficients:
\(\begin{cases}m=-3 \\ b=1.5\end{cases}\)Then, our line equation is:
\(y=-3x+1.5\)