Answer:
A) {x | 0 ≤ x ≤ 4}Step-by-step explanation:
The x-coordinates form the domain.
We know the x-coordinates of the end points of the line, the first numbers in pair of coordinates:
x = 0 and x = 4Also, since both points are closed circles, the endpoints are included.
So the domain is the interval between 0 and 4, both inclusive.
This is shown as:
{x | 0 ≤ x ≤ 4}The matching answer choice is A.
The domain of the function includes all x-values from 0 to 4, including both 0 and 4.
So, the correct answer is option A: {[tex]{x | 0 \leq x \leq 4}\\[/tex]}.
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. In this case, the function begins with a closed circle at (0, 2) and ends with a closed circle at (4, 6), which means that the function is defined at these specific points.
Since the function is a linear function, it represents a straight line.
A linear function is continuous, and it extends indefinitely in both directions.
Therefore, any x-value between 0 and 4 will also be defined by the linear function.
In mathematical notation, we can represent the domain as:
Domain: {x | 0 ≤ x ≤ 4}
This means that the domain of the function includes all x-values from 0 to 4, including both 0 and 4.
So, the correct answer is option A: {[tex]{x | 0 \leq x \leq 4}\\[/tex]}.
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complete question:
A linear function is shown on the graph.
a linear function that passes through the points (0, 2) and (4, 6)
What is the domain of the function?
[tex]{x | 0 \leq x \leq 4}\\{x | 0 < x < 4}\\{y | 2 \leq y \leq 6}\\{y | 2 < y < 6}[/tex]
graph is attached
17 added to 4 times a number is 57.
(4n)17 = 57
(17 + 4)n = 57
17 + 4n = 57
17 + 4 + n = 57
Given −29.032 ÷ −0.76, find the quotient.
Answer:
38.2
Step-by-step explanation:
[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]
Notice every time a number ended up in the hundreds place, it was because a number for example, 2, was dropped into the next digit of the number. Let's say I get 18 from subtracting, and there is a 4 in the hundreds place, then 18 becomes 184 subtracted by any number below it that the divisor can multiply to.Note: Anytime 2 negative numbers are divided by each other, they will have a positive quotient.What are the exact values of a and b?
By using trigonometric relations, we will see that:
a = 7/2, b = (7*√3)/2
So the correct option is the second option, counting from the top.
What are the exact values of a and b?
Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).
Then we will use the two relations:
cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)
With that relation we can find the value of b:
cos(30°) = b/7
cos(30°)*7 = b = (7*√3)/2
The other relation we will use is:
sin(θ) = (opposite angle to the given angle)/(hypotenuse)
With that we can get the value of a:
sin(30°) = a/7
sin(30°)*7 = a = 7/2
Then the correct option is:
a = 7/2, b = (7*√3)/2
Which is the second option, counting from the top.
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Are they similar? Yes or no
Answer:
yesss
Step-by-step explanation:
yes there similar
i think
pls mark brainliest
A student discovers that, in the triangle shown here, the equation conclude from this fact? m² + n²/p² = 1 holds true. What can she conclude from this fact
m² + n²/p² = 1 is not equation of triangle
Solution :
Triangle :
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.
Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.
m² + n²/p² = 1
Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.
triangle triplet :
3,4,5
let's try to prove this by using pre define triplet triangle
m= 3
n=4
p=5
3*3+4*4/5*5= 1
9+16/25= 1
9*25 +16/25 =1
225+16/25=1
9.64[tex]\neq[/tex] 1
this
m² + n²/p² = 1 is not equation of triangle
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What form of correspondence does the function f(x) = 2x + 5 have?
A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one
What is Function?A function is defined as a relation between a set of inputs having one output each.
we need to check correspondence of the function f(x) = 2x + 5.
f(x)=2x+5
f'(x)=2
i.e increasing function (one-one).
But it is not onto because f(x) does not take all values in N.
Range of f(x)=Codomain.
It is a one one function.
Therefore the given function f(x)=2x+5 is a one one function.
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
O
U/N N/UT
아름
25 52
이름
돌
The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.
According to the given question.
We have a line AB containing the points A(4, 5) and B(9, 7).
Here, we have to find the slope of line AB.
As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).
Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)
= (7 - 5)/(9 - 4)
= 2/5
Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.
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the driving distance between phoenix and los angeles is 599kilometers. the driving distancce between pheonix and chicago is approximately 2.3 x 10^3. a. which city is nearer to pheonix, los angeles, or chicago
Answer:
Los Angeles
Step-by-step explanation:
If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.
The temperature has been dropping 3 degrees Celsius per hour since midnight. If the temperature is
11 degrees at midnight, what is the temperature at 3:00AM?
Answer:
2 degrees Celsius
Step-by-step explanation:
I did this by just counting it out:
if the temperature drops 3 degrees every hour, that means we just subtract 3 for every hour after midnight
12:00-11
1:00-8
2:00-5
3:00-2
hope this helps :D
Give the digits in the ones place and the tenths place.
80.97
ones:
tenths:
10
X
S
For the given number, the digit at ones place is 0 and at tens place is 8.
What number comes in tenths place?The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
For the number, 80.97
This number can be written as = 80 + 0.97
The digit at ones place is 0
and digit at tenths place is 8
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Find the coordinates of the vertices of the figure after the given transformation.
reflection across the x-axis
H(−4, 3), I(−1, 5), J(−4, 0)
The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)
How to find the coordinates of the vertices of the figure after the given transformation?The coordinates of the vertices of the figure are given as:
H(−4, 3), I(−1, 5), J(−4, 0)
The transformation is given as:
A reflection across the x-axis
The rule of reflection across the x-axis is
(x, y) = (x, -y)
When the above rule is applied on the coordinates of the vertices of the figure, we have:
H' (−4, -3), I'(−1, -5), J(−4, 0)
Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)
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Examine the question.
6x−3=Ax−3−2x
What value must A have for the equation to have infinitely many solutions?
A.) -2
B.) 4
C.) 8
D.) 2
The value of 6 in the digit 43. 967 is
A. Unit
B. Tenths
C. Hundredths
D. Hundred
Answer:
C
Step-by-step explanation:
Expand:
y^4
i fell asleep in math class.. what is this smh
The expansion of the expression given as y^4 is y^4 = y * y * y * 4
How to expand the expression?The expression is given as:
y^4
According to the exponent law of indices, we have
x^n = x * x * x * ..... *xn
This means that, the expansion of the expression given as y^4 is
y^4 = y * y * y * 4
Hence, the expansion of the expression given as y^4 is y^4 = y * y * y * 4
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Answer: y * y * y * y
Step-by-step explanation:
y is being multiplied by itself four times
Given y = x² + 3x - 2, find y when x = -2
Answer:
y = -4
Step-by-step explanation:
y = x² + 3x -2
y = (-2)² + 3(-2) - 2
y = 4 - 6 - 2
y = -4
I hope this helps!
WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?
Step-by-step explanation:
21 seconds. pretty sure
which is the order from least to greatest of the following: eight sevenths, one sixth, 0.2, thirty two percent?
The order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.Given fractions: 8/7 (eight sevenths), 1/6 (one sixth) , 1/5 (0.2), 8/25 (32%).
Now, here,
[tex]\frac{8}{7} = 1.14[/tex][tex]\frac{1}{6} = 0.1667[/tex][tex]\frac{1}{5}=0.2[/tex][tex]\frac{8}{25}=0.32[/tex]Thus, the order of the fractions in the ascending order is: [tex]\frac{1}{6} < \frac{1}{5} < \frac{8}{25} < \frac{8}{7}[/tex]
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what is the range of values for the measurement 500-+4%
Answer:
480-520.
Step-by-step explanation:
4% of 500 = 500 * 4 / 100 = 20
Consider the functions f(x)=-3x=3 and g(x)=-3x+4 find f(8)
k+4=5
k=?
Please I need help
Answer:
1 its an obvious answer cause 1+4=5
order the fractions from least to greatest 3/5 1/5 1/6
Answer:
1/5, 1/6, 3/5.
Step-by-step explanation:
Answer:
1/6, 1/5, 3/5
Does this help?
>
EXAMPLE 3
Marcus is putting new tiles on his kitchen floor. Each file is 1 square
foot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly how
many tiles will he use?
tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15ºf. this means that the temperature inside the oven will be within 15ºf of the temperature to which it is set. write an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºf. let t represent the temperature inside the oven.
The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
How to to find the maximum and minimum temperatures ?The function of absolute value calculates the separation between a point and an origin.
A less-than-compound inequality is represented by:
[tex] |x| \leq a[/tex]
then the solution is
[tex] - a \leq \: x \: \leq \: a[/tex]
according to the question
Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:
[tex] |T - 400| \leq \: 15[/tex]
now apply the solution
[tex] - 15 \leq \: T - 400 \leq \:15[/tex]
then simplify this
[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]
[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]
Hence, The highest temperature recorded was 415°F(maximum).
At its lowest, the temperature is 385°F(minimum).
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Please help need the answer fast
Answer:
of answer 22837 if I am correct
Write the expression that represents this phrase: the quotient of 10 and x
The given statement "the quotient of 10 and x" can be written in the form of an expression as 10/x
What is an Expression?An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.
Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.
The given statement "the quotient of 10 and x" can be written in the form of an expression as shown below.
The quotient of 10 and x → 10/x
Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x
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evaluate the expression
Answer:
16
Step-by-step explanation:
Step 1. Plug the numbers into the equation
Step 2. Solve using PEMDAS
[tex]\frac{6 ( 6 + 2)}{3}[/tex]
[tex]\frac{6 ( 8 )}{3}[/tex]
[tex]\frac{48}{3}[/tex]
16
Answer:
6(a+c)÷b
6(6+2)÷3
6×8÷3
48÷3
16 Ans
Step-by-step explanation 16is the answer
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Answers in bold
Increasing on the interval (-2.5, 0)Decreasing on the interval (-∞, -2.5) U (0, ∞)Each answer is in interval notation.
=================================================
Explanation:
The graph is increasing when the curve goes uphill when moving to the right.
This occurs on the interval -2.5 < x < 0 which condenses to the interval notation (-2.5, 0); be sure not to mix this up with ordered pair notation which unfortunately looks identical.
----------
The graph is decreasing when the curve goes downhill when moving to the right.
This happens on two separate intervals of -∞ < x < -2.5 and 0 < x < ∞ which condense to the interval notation (-∞, -2.5) and (0, ∞) respectively.
Joining those two intervals up with the union symbol gets us
(-∞, -2.5) U (0, ∞)
find four consecutive multiples of 4 such that twice he sum of the least and greatest exceeds three times the least by 32.
According to the question, the four consecutive numbers can be written as :
First = [tex]x[/tex]; Second = [tex]x+2[/tex]; Third = [tex]x+4[/tex]; Fourth = [tex]x+6[/tex]
As per the question, the final expression is :
[tex]2((x+2)+(x+4)) = 3(x)+32[/tex]
[tex]4x+12 = 3x+32[/tex]
[tex]x = 20[/tex]
Therefore, the four values can be calculated by substituting the above value:
[tex]x=20; x+2=22; x+4=24; x+6=26[/tex]
The four consecutive numbers are: [tex]20,22,24,26[/tex]
Substitute the calculated values in the final expression, to check whether the answer is correct or not.
[tex]2(22+24) = 3(20)+32[/tex]
[tex]92=92[/tex]
Therefore, the calculated values are correct.
What are consecutive terms?
Consecutive terms are those terms which follow one sequential order.
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The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 12 cases
he constant of proportionality is
enter your response here millimeters per DVD case.
Answer: ---
Step-by-step explanation:
Divide the hight of the stack by 8, multiply that by 12, you should have your answer
an air conditioning system can circulate cubic feet of air per minute. how many cubic yards of air can it circulate per minute?
We know that ,
1 feet= 0.33 Yard
Given that .
An air conditioning circulate 1 cubic foot per minutes
So it circulates 0.33 Yards per minute .
an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute13.32 yards per minute
Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,
Rate = volume/time. Which is
360 = volume/ 1
Volume = 360 cubic feet
Convert cubic feet to cubic yard
1 cubic foot = 0.037 cubic yards
Multiply this by 360
Cubic yards = 360 × 0.037
Cubic yards = 13.32
Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute to 13.32 cubic yards of air which can circulate air per minute
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