PLEASE HELP I WILL GIVE BRAINLIEST
What is the range of the function f(x) = |x| – 3?
{f(x) ∈ ℝ | f(x) ≥ –3}
{f(x) ∈ ℝ | f(x) < –3}
{f(x) ∈ ℝ | f(x) ≤ –3}
{f(x) ∈ ℝ | f(x) > –3}
The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3
The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.
What is the range of the function?The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.
Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.
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If 7 litres of petrol will last 23 minutes in Dave's car, then how long will 25 litres last? Give your answer to the closest minute.
Answer:
25 liters will last 82 minutes.
Step-by-step explanation:
All you have to do is divide 23 by 7 to get the minutes per liter.
This will get 3.285714285714286.
Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.
But since we need to round the answer by the closest minute the answer would be 82 minutes.
Hope this helped :D
For the following exercises, solve the equations below and express the answer using set notation.
14. 2| 4 − x | = 7
Answer: 1/2, 15/2
Step-by-step explanation:
to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:
|4-x|=7/2
and then you can remove the absolute value symbols and make 2 equations:
4-x=7/2
4-x=-7/2
solve these and you're done!
Algebra 1 A Adaptive CR (JL22) 1/Tools Of The Trade
2. Simplify and write in exponential form. (4³)(3) = ?
O
O (4³) (¹)
521
The simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
How to simplify the expression?The expression is given as:
[tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex]
Expressions raise to power 0 is 1.
So, we have:
[tex](4^3)(\frac{4^4x^4}{3^2x^2y^2})[/tex]
Apply the law of indices to expression with common base
[tex](\frac{4^{4+3}x^{4-2}}{3^2y^2})[/tex]
Evaluate the sum and difference
[tex](\frac{4^7x^2}{3^2y^2})[/tex]
Remove the bracket
[tex]\frac{4^7x^2}{3^2y^2}[/tex]
Hence, the simplified expression of [tex](4^3)(\frac{4^4^0x^4}{3^2x^2y^2})[/tex] is [tex]\frac{4^7x^2}{3^2y^2}[/tex]
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find the area of the shape below
Answer:
47.92cm²
Step-by-step explanation:
Area = length x width
We first section off different rectangles to use the above formulaThe blue represents the total length of the F sideIn the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.
On a coordinate plane, circle Q is centered at the origin with radius r. Triangle P Q S is shown. Point Q is at (0, 0) and points P is at (x, y). The length of Q P is r, the length of P S is y, and the length of Q S is x. Angle P S Q is a right angle.
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?
(h + x)2 + (k + y)2 = r2
(x – h)2 + (y – k)2 = r2
(k + x)2 + (h + y)2 = r2
(x – k)2 + (y – h)2 = r2
Based on the given information, the equation of this new circle is B. (x - h)² + (y - k)² = r²
What is the equation of a circle?The equation of a circle of radius r represents all the points that lie on the circumference of the given circle.
The equation of a circle is:
x² + y² = r²
Where:
r is the radius of a circle.
After translating h units along the x-axis and k units along the y-axis on a coordinate plane,
The equation of this new circle is given by:
(x - h)² + (y - k)² = r²
Where h and k represent the coordinates at the center.
Thus, option B is correct.
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Answer: B) (x - h)² + (y - k)² = r²
Step-by-step explanation:
Edge 2023
Make P the subject.
Q = 3P + 2
Answer:
P = [tex]\frac{Q-2}{3}[/tex]
Step-by-step explanation:
Q = 3P + 2 ( subtract 2 from both sides )
Q - 2 = 3P ( isolate P by dividing both sides by 3 )
[tex]\frac{Q-2}{3}[/tex] = P
please helpp
Answer:
(B). 86°
Step-by-step explanation:
to its 4. RST maps to AR'S'T'.
Preimage
R(1, 1)
S(1,-1)
T(2,-2)
(197
dixes 180x
↑
↑↑
The coordinate rule is:
The transformation is:
Image
R'(3,2)
S'(3,-2)
T'(6,-4)
The coordinate rule for each point is;
R'(x, y) → (x + 2, y + 1)
S'(x, y) → (x + 2, y - 1)
T'(x, y) → (x + 4, y - 2)
How to Interpret Transformations?Coordinate plane rules is simply (x, y) → (x ± h, y ± k)
where h and k are the horizontal and vertical shifts.
Thus, the coordinate rule for each point is;
R'(x, y) → (x + 2, y + 1)
S'(x, y) → (x + 2, y - 1)
T'(x, y) → (x + 4, y - 2)
The transformation is (x, y) = (x, y) for Point R
The transformation is (x, -y) = (x, -y) for Points S and T
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Need help asap pls
In the photo
Answer:
26 is my guess
find the solution of the polynomial 2x^2 - 3x
Answer:
(2x-3)x
Step-by-step explanation:
The question has grouping, for the answer you have to ungroup the problem to get your solution.
Sum of three consecutive even numbers is 36. Find the numbers.
Answer:
12
Step-by-step explanation:
12 + 12 + 12 = 36
ORlet each number = X
3x = 36
x = 36/3
x = 12
Hope this helps.Good luck ✅.What is cos(30°)?
2
1
cos (30°)
30%
= =
√3
√[?
Enter
Answer:
Cos (30°) = √3/2
Step-by-step explanation:
that is the solution above
The value of the trigonometric equation cos ( 30 )° = √3/2
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of ∠BAC = 30°
The adjacent side of the triangle AC = √3 units
The hypotenuse of the triangle AB = 2 units
So , from the trigonometric relations
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ( 30 )° = √3/2
Therefore , the measure of cos ( 30 )° = √3/2
Hence , the trigonometric relation is cos ( 30 )° = √3/2
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Can yaal help me Find the value of x
Answer:
C
Step-by-step explanation:
the ratios of corresponding sides are in proportion
that is the outer triangle and the inner triangle
[tex]\frac{x}{30}[/tex] = [tex]\frac{88}{44}[/tex] = 2 ( multiply both sides by 30 to clear the fraction )
x = 30 × 2 = 60
Answer:
C. 60
Step-by-step explanation:
I just saw that 44 + 44 equals 88 and compared those two sides, I knew it couldn't be 88, so that's out. Then, I saw that the side, 21 + 21, was shorter than the unknown side and that ruled out 42 and 30. 60 is the only one that is left and makes sense.
Why are there two solutions for the equation |6+y| = 2?
Explain.
Answer:
y=-4 and y=-8
Step-by-step explanation:
When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a [tex]\pm[/tex]. Because 6+y could've been -2 and the absolute value just made it positive 2
So set 6+y equal to -2 and 2 to find the two solutions:
6+y = 2
y = -4
6+y = -2
y = -8
Hey there!
YOUR EQUATION: |6 + y| = 2
CONVERT THAT TO:
y + 6 = 2 OR y + 6 = -2
FIRST let’s solve for: y + 6 = 2
y + 6 = 2
SUBTRACT 6 to BOTH SIDES
y = 6 - 6 = 2 - 6
SIMPLIFY THAT!
y = 2 - 6
y = -4
Possible solution #1: y = -4
LASTLY let’s solve for: y + 6 = -2
y + 6 = -2
SUBTRACT 6 to BOTH SIDES
y + 6 - 6 = -2 - 6
SIMPLIFY THAT AS WELL!
y = -2 - 6
y = -8
Possible solution #2. y = -8
Therefore, your answer should be:
y = -4 or y = -8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which two activities are examples of data collecting?
A. Graphing the heights of baseball players
B. Measuring the time between bus stops
C. Asking people what their favorite food is
D. Using the results of a race to predict who will win future races
Hello!
The 2 activities which represent data collecting are :
A. Graphing the heights of baseball playersC. Asking people what their favorite food isThe two activities in the choices represents data collecting are:
A. Graphing the heights of baseball players
C. Asking people what their favorite food is.
Because, in collecting data we will asking or not asking but measuring the data th needed to represents.
#CarryOnLearning
I need answer quickly
Hello !
Answer:
Step-by-step explanation:
Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²
Here, we have a = 4 and c = 6 so :
b² = 6² - 4²
⇔ b² = 36 - 16
⇔b² = 20
⇔ b = √20 (and not b= -√20 because b ≥ 0)
Answer:
b = [tex]\sqrt{20}[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem:
6² = 4² + b²
⇒ b² = 6² - 4²
⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]
⇒ b = [tex]\sqrt{36 - 16}[/tex]
⇒ b = [tex]\sqrt{20}[/tex]
Zoltan has a list of whole numbers, all larger than 0 but smaller than 1000. He notices that every number in his list is either one-third of another number in the list or three times another number in the list. What is the largest number of different whole numbers that can be on Zoltan's list?
The largest number of different whole numbers that can be on Zoltan's list is 999
How to determine the largest number?The condition is given as:
Number = 1/3 of another number
Or
Number = 3 times another number
This means that the list consists of multiples of 3
The largest multiple of 3 less than 1000 is 999
Hence, the largest number of different whole numbers that can be on Zoltan's list is 999
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-3-2-1
Intro
8
4
do
(2
-16
Ty
3
X
1
Which intervals show f(x) decreasing? Check all that
apply.
O [-2.5, -2]
O [-2,-1.5]
0-1, 1)
[1.5, 2]
[2, 2.5)
(2.5,3]
Done
Answer:
[-2.5, -2][-2, -1.5][1.5, 2][2, 2.5)[-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5) were the intervals show f(x) decreasing
What is a function?A relation is a function if it has only One y-value for each x-value.
To find the intervals where a function is decreasing, you need to look for the parts of the function where the slope is negative.
In other words, you need to find the intervals where the function is going downhill.
By the given function or graph the intervals where f(x) is decreasing are
[-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5)
Hence, [-2.5, -2], [-2, -1.5], [1.5, 2] and [2, 2.5) were the intervals show f(x) decreasing
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what is (-6, 12) reflected over the x axis and reflected over the y axis ?
Solve using a paragraph proof
Given:Rectangle DVEO with diagonals DE and OV
Prove: OVE ≅ DEV
Answer:
you will use the SOHCAHTOA METHOD IF ITS A TRIANGLE. Not sure
Consider the Expression
An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.
What is a fraction simplification?Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.
This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.
A fraction is consist of the form p/q
Where,
P is the numerator and q is denominator
An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].
Hence option A is correct.
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Help plsssssss WILL GIVE BRAINLIEST
Answer: (1,2)
Step-by-step explanation:
I will help you..
Given:
[tex]-2x-5y=-12\\10x-4y=2[/tex]
Lets cancel out the x term..
[tex]5(-2x-5y)=-12(5)\\=-10x-25y=-60[/tex]
Now our system looks like this:
[tex]-10x-25y=-60\\10x-4y=2[/tex]
Add.
[tex]-29y=-58\\y=2[/tex]
plug in 2 for y
[tex]-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1[/tex]
Therefore the system is:
[tex](1, 2)[/tex]
If this helped consider marking brainiest.
Answer:
y=2 x=1
Step-by-step explanation:
1. 5(-2x-5y=-12)
10x-4y=2
2. -10x-25y=-60
+
10x-4y=2
3. -29y=-60+2
-29y=-58
y=2
Which proportion could be used to find the length of side b?
Answer:
A
Step-by-step explanation:
[tex]\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}[/tex]
Also, you need to subtract the 2 known angles from 180 to find the missing angle measurement. 180 - 85 - 64 = 31
The angles go with the side lengths opposite them.
[tex]\frac{sin 64}{a} = \frac{sin 85}{b} = \frac{sin 31}{9.3}[/tex]
How many solutions does this linear system have?
y = 2/3x+ 2
6x - 4y = -10
• one solution: (-0.6, -1.6)
O one solution: (-0.6, 1.6)
no solution
infinite number of solutions
The given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)
Solving system of linear equationsFrom the question, we are to determine the number of solutions the given linear equation has
The given system of equations is
y = 2/3x+ 2 ---------- (1)
6x - 4y = -10 ---------- (2)
Substitute equation (1) into equation (2)
6x - 4y = -10
6x - 4(2/3x +2) = -10
6x - 8/3x -8 = -10
6x - 8/3x = -10 + 8
10x/3 = -2
10x = -2 × 3
10x = -6
x = -6/10
x = -0.6
Substitute the value of x into equation (1)
y = 2/3(-0.6)+ 2
y = -0.4 + 2
y = 1.6
The solution to the given system of equation is x = -0.6, y = 1.6. That is, (-0.6, 1.6)
Hence, the given linear equation has one solution: (-0.6, 1.6). The correct option is the second option one solution: (-0.6, 1.6)
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Choose the ordered pair which is the solution to: x + y = 5 and x − y = 1.
Mateo rmpio su alcancia y compro dos articulos,uno de $700 y otro de $500.
Pago los dos articulos con monedas del mismo valo.¿Cual es la moneda de mayor valor que pudo haber usado y cuantas monedas entrego por cada articulo?
Answer:
Pesos: $20
Dolares: $1
Step-by-step explanation:
Si la moneda mas alta tiene un valor de $20 pesos, tendria que pagar el primer articulo con 35 monedas. $20 x 35 = $700
Tendria que pagar 25 monedas para el segundo articulo. $20 x 25= $500
Si fuera en dolares, tendria que pagar el primer articulo con 700 monedas y el segundo articulo con 500 monedas.
Espero que esto te haya ayudado :)
Which number is irrational?
Answer:
4.12
Step-by-step explanation:its 4.12 because all except it are in fraction form and irrational numbers cant be in fraction.
The figure shows a circle circumscribed around a triangle.
Triangle U T V is inscribed within a circle. A point is at the center of the triangle. Lines are drawn from the points of the triangle to the point in the middle. Lines are drawn from the point in the middle to the sides of the triangle to form right angles.
What is constructed first when creating the circle?
perpendicular segments to the vertices of the triangle
perpendicular bisectors of the sides of the triangle
angle bisectors of each angle of the triangle
the incenter of the triangle
Option B is right perpendicular bisectors of the sides of the triangle
What circumcircle?If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.
One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.
When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.
When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C
In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC
Therefore Option B is right perpendicular bisectors of the sides of the triangle.
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HELP ASAP)
How many degrees is angle X?
How many degrees is arc ZY?
How many degrees is arc XY?
(Picture is below)
Answer:
X = 70°arc ZY = 140°arc XY = 82°Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
TheoremsThe Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
SolutionsUsing the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
Answer:Angle x=70°
Step-by-step explanation:interior angles add up to 180° so we add 41° and 69°. After addition,you minus from 180° and you get 70°