This is a linear function whose graph cuts the origin.
Therefore, any increase in the x axis will lead to a corresponding increase in the y axis by the same factor.
[tex]\begin{gathered} \text{The graph has the equation y =}\frac{x}{2} \\ If\text{ x is doubled, the corresponding value of y is also doubled} \end{gathered}[/tex]Thus, C is the answer
What is the value of x in the equation x-2/3 + 1/6 = 5/6
The value of x in the equation (x - 2)/3 + 1/6 = 5/6 is: x = 4
How to Solve an Equation?To solve a given equation, find the value of the variable in the equation by isolating the variable to one side using the necessary properties of equality.
Given the equation, (x - 2)/3 + 1/6 = 5/6:
(x - 2)/3 + 1/6 = 5/6
Subtract both sides by 1/6:
(x - 2)/3 + 1/6 - 1/6 = 5/6 - 1/6 (subtraction property of equality)
(x - 2)/3 = 4/6
Multiply both sides by 3:
(x - 2)/3 × 3 = 4/6 × 3 (multiplication property of equality)
x - 2 = 2
Add both sides by 2:
x - 2 + 2 = 2 + 2 (addition property of equality)
x = 4
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Robert rolled a die 30 times. Itlanded on four 7 times. What was theexperimental probability for landingon a four?AC11B
Probability= Number of required outcome / Number of possible outcomes
Number of possible outcomes= 30
Number of required outcome = 7
[tex]probability=\frac{7}{30}[/tex]can you show me the format to get the answer to m/3 +4=7
can you show me the format to get the answer to m/3 +4=7
we have
[tex]\frac{m}{3}+4=7[/tex]solve for m
that means
isolate the variable m
so
step 1
subtract 4 both sides
[tex]\begin{gathered} \frac{m}{3}=7-4 \\ \frac{m}{3}=3 \end{gathered}[/tex]step 2
multiply by 3 both sides
[tex]\begin{gathered} m=3\cdot3 \\ m=9 \\ \\ \\ \end{gathered}[/tex]therefore
the answer is
m=9we have thatstep 1is equal to
m/3 +4-4=7-4
step 2is equal to
m/3=3
step 3is given
step 4is given
Part 2Let
n------> number of hours
y -----> the total charge
Remember that
The linear equation in slope intercept form is equal to
y=mx+b
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem
y=mn+b
where
m=$25 per hour
b=$50
so
y=25n+50
For y=$125
Find out the number of hours
substitute the value of y in the equation and solve for n
125=25n+50
25n=125-50
25n=75
n=3 hours
therefore
the answers are
the total charge's equation is (25n+50)
the number of hours are 3
Find the area of the polygon. 2 m 19 m 2 m 17 m The area of the polygon is (Type a whole number.)
If the polygon is redrawn and completed as shown below
The area of the polygon = area of the rectangle ABCD - ( area of the rectangle AEFG + area of the rectangle HBJI)
Area of rectangle = L x B
For ABCD
L = 17 + 2= 19 m
B = 19 + 2 + 2 = 23 m
Area = 19 x 23 = 437 square metre
For AEFG
L= 2 m , B = 2 m
Area = 2 x 2 = 4 square m
For HBJI
L= 2 m , B = 2m
Area = 2 x 2 = 4 square m
[tex]\begin{gathered} Area\text{ of the polygon = 437 - ( 4+ 4)} \\ =\text{ 437 - 8} \\ =429m^2 \end{gathered}[/tex]Directions: Raise the powers of all variables and numbers indicated, and then turn the following expressions in radical form into exponential expressions in rational form. You do not need to evaluate or solve any of the expressions, just put them in simplest exponential form.
The value of the exponents in simple exponential form is [tex]x^{\frac{44}{5}}[/tex] .
The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."
Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.
[tex]\sqrt[5]{5^y} \cdot(5^4)^3 = 5^{\frac{y+60}{5} }[/tex]
[tex]\sqrt[5]{5^x} \cdot(5^4)^3 = 5^{\frac{x+60}{5} }[/tex]
Therefore the properties of exponents can be used to find the exponential solutions.
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(4x + 8)° find the value of each variable
The graph shows the scores of an exam. About what percent of students scored above 86%?
Attach shows the scores of students in an exam
[tex]\begin{gathered} \text{(students scored above 86\%) = }\frac{\text{ number of students score above 86\%}}{\text{Total scored }}\text{ x }\frac{100}{1} \\ \text{(students scored above 86\%) = }\frac{\text{8+5.9+2.2+2}}{1.4+2.2+4.5+6.2+8.5+16.5+18+16.3+8+8+5.9+2.2+2}X\frac{100}{1} \\ \\ \text{(students scored above 86\%) = }\frac{18.1}{99.7}\text{ X }\frac{100}{1} \\ \text{(students scored above 86\%) = }18.15\text{ \%} \\ \text{(students scored above 86\%) = 18\%} \end{gathered}[/tex]Hence the correct answer = 18% Option A
Can someone please help me?
I will give brainliest
We can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.
What do we mean by proportions?A proportion is an equation that equalizes two ratios.You could, for instance, write the ratio as follows: 1: 3 in the case of 1 boy and 3 girls (for every one boy there are 3 girls)The proportion formula is used to determine whether two ratios or fractions are equal.We can find the missing value by dividing the given values.The proportion formula can also be written as a: B::C:D = a/b = c/d, where a and d are the extreme terms and b and c are the mean terms.So, a proportion that is used to determine the QS's missing side
(A) QS/OR = PO/SR
Not possible, and the bases in the denominator have the wrong base positions.(B) PR/PO = QS/QR
Not possible because the order of the lines does not allow for the measurement of line length. QS/SR = PO/OR.(C) QS/SR = PO/OR
Given that the sides and base are both perfectly positioned within the fractions, this ratio can be used to determine the length of line QS.Therefore, we can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.
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Name two triangles that are congruent by ASA.Choose the correct answer below.(triangle)ABC = (triangle) hpw GHJ(triangle)ABC= (triangle)DEF(triangle)DEF= (triangle)GHJ
Congruence by ASA (Angle-Side-Angle): Triangles are congruent if any two angles and their included side are equal in the triangles.
For the given triangles:
[tex]\begin{gathered} \Delta ABC\cong\Delta\text{GHJ} \\ \\ \angle B=\angle H \\ \angle C=\angle J \\ BC=HJ \end{gathered}[/tex]Start with 16÷8. Rewrite as an equivalent multiplication expression using the multiplicative inverse of 8.
The equivalent multiplication expression using the multiplicative inverse of 8 is 16 x ¹/₈ or 16 x 8⁻¹.
What is the multiplicative inverse?The multiplicative inverse is the reciprocal of a number.
The multiplicative inverse can be used to replace the division operation.
It is a simpler way that supplies the equivalent multiplication result in place of the division operation.
Check:
16÷8 = 2
Similarly, 16 x ¹/₈ = 2
Thus, instead of 16÷8, we can also use the multiplication inverse of 8 which is 16 x ¹/₈.
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In a science project, the number of bacteria increases exponentially. Every hour, the number of bacteria triples. If the project starts with 100 bacteria, how many bacteria are present after 5 hours?
Consider that the exponential function can be written as follow:
f(x) = a
A company sells equipment for $4,000. the original cost was $50,000.the accumulated depreciation is $45,000. the sale results in what?A. a loss of $4000B. a loss of $1000
ANSWER
Loss of $1000
EXPLANATION
Cost is $50000
The less accumulated depreciation is $45000
Hence, the book value on data on sale;
[tex]\begin{gathered} 50000-45000 \\ =5000 \end{gathered}[/tex]Gain or loss on sale = Sale value - Book value;
[tex]\begin{gathered} 4000-5000 \\ =-1000 \end{gathered}[/tex]Therefore a loss
what is the length of the marked portion of each line segment? Copy the segment onto your paper before finding the missing length. Assume that the entire line segment is sub divided into equal sections.
The length of the marked portion of line segment A is 25, B is 45 and C is 30.
What is line segment?
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The distance between two ends of a line segment is its length. Half-open line segments contain exactly one of the endpoints while other end point is open, while closed line segments have both the endpoints closed. Open line segments do not contain any of the endpoints.
Calculation of line segment A,
75 ÷ 3 = 25
25 × 1 = 25
Therefore, the length of the marked portion of line segment A is 25
Calculation of line segment B,
75 ÷ 5 = 15
15 × 3 = 45
Therefore, the length of the marked portion of line segment B is 45
Calculation of line segment C,
50 ÷ 5 = 10
10 × 3 = 30
Therefore, the length of the marked portion of line segment C is 30
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HELPPPP MEEEEE PLEASEEEEE
Sam and his cousin Matt have the same birthday, but Sam is 5 years older than Matt. Let the variable x represent Sam’s age and y represent Matt’s age. Graph the relationship between Sam’s age and Matt’s age.
The relationship between Sam’s age and Matt’s age is given as x = y + 5
What is an equation?An equation is an expression that can be used to show the relationship between numbers and variables.
The equation of a line in slope intercept form is:
y = mx + b
Where m is the slope and b is the y intercept
Let x represent Sam’s age and y represent Matt’s age. Sam is 5 years older than Matt, hence:
x = y + 5
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A parabola is modeled with the equation x2 – 12x + 4y + 24 = 0. Which is the domain and range of the parabola?
D: (–∞, ∞); R: (–∞, 3]
D: (–∞, ∞); R: [3, ∞)
D: (–∞, 3]; R: (–∞, ∞)
D: [3, ∞); R: (–∞, ∞)
Answer:
first option
Step-by-step explanation:
[tex] {x}^{2} - 12x + 4y + 24 = 0[/tex]
[tex] {x}^{2} - 12x + 24 = - 4y[/tex]
[tex] - \frac{ {x}^{2} }{4} + 3x - 6 = y[/tex]
Now, we can find the domain and range, the easiest way first is to put this in vertex form
First, find the x coordinate of the vertex using
-b/2a,
[tex] \frac{ - 3}{2(( - 0.25))} = 6[/tex]
Now, plug in 6 into the original equation to obtain the y value of the vertex
[tex] - \frac{6 {}^{2} }{4} + 3(6) - 6 = - 9 + 18 - 6 = 3[/tex]
So our vertex is (6,3).
Next , we put this in vertex form.
[tex]a(x - h) {}^{2} + k[/tex]
where (h,k) is the vertex
and a is the leading coefficient
so our quadratic in vertex form is
[tex] - \frac{1}{4} (x - 6) {}^{2} + 3[/tex]
Part 3: Domain and Range.
The domain of any quadratic(unless we are doing a real world example with a variable that can not be negative like time, objects,etc) is always all real numbers.
So the domain is (-oo,oo)
Since our a is negative, the range of our parabola is (-oo,3]
The correct answer is the first option
IncorrectYour answer Is Incorrect.Find the range of the quadratic function.y=3x2 - 30x + 77Write your answer as an inequality using x or y as appropriate.Or, you may instead click on "Empty set" or "All reals" as the answer.DSODO음EmptysetAll realsХ?
We are given the following quadratic function:
[tex]y=3x^2-30x+77[/tex]To determine the range we need first to determine the vertex of the quadratic function. To do that, since we have an equation of the form:
[tex]y=ax^2+bx+c[/tex]The x-coordinate of the vertex is given by:
[tex]x=-\frac{b}{2a}[/tex]Replacing we get:
[tex]x=-\frac{-30}{2(3)}[/tex]Solving we get:
[tex]x=\frac{10}{2}=5[/tex]The y-coordinate of the vertex is found by replacing this value in the quadratic equation:
[tex]\begin{gathered} y=3(5)^2-30(5)+77 \\ y=3(25)-150+77 \\ y=2 \end{gathered}[/tex]Now, since the term "a" is a positive number the parabola opens upwards, and the range is the values of "y" that are larger than the y-coordinate of the vertex, that is:
[tex]R=\mleft\lbrace y\in\R\parallel y\ge2\rbrace\mright?[/tex]determine x-axis and y-axis intercepts for -8x-6y=12
After determining the x and y axis, we get the x and y intercepts as 1.5 and -2.
Given the equation is -8x-6y=12
-6y=8x+12
y=-8x/6+12/6
y=-4x/3+2
To determine x intercept, set y=0
-4x/3+2=0
Multiply both sides of the equation by the common denominator.
-4x×3/3 + 2×3 = 0×3
Reduce the fraction.
-4x+6=0
Rearrange the variables to the left side of the equation.
-4x=-6
cancel - sign.
4x=6
x=6/4
x=3/2
Now, to determine y intercept, set x=0
-8x-6y=12
-8(0)-6y=12
-6y=12
y = -12/6
y = -2
Hence the x and y intercepts are 1.5 and -2 respectively.
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HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answer:
I'm not %100 sure this is correct but it seems like it wants a decimal
Step-by-step explanation:
D is 0.37
R is 0.34
That's the only thing that makes sense.
Please mark brainliest if correct!
COULD REALLY USE HELP!only have a short amount of time!.Write the translated equation y = 1xl so that the vertex is at(-5, -3). You can use parenthesis instead of absolute valuebars for this answer.
With the function given as y = |x|, and the value of x on the graph is -5, when translated it becomes
[tex]y+3=|x+5|[/tex]Because when x = -5, then y + 3 = 0 (that is, y = -3)
Between 9 pm and 6:36 am, the water level in a swimming pool decreased by 6/35 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
First, we need to know the total hours from 9 pm to 6:36 am.
We have that from 9:00 pm to 6:00 am are 9 hours. We still have 36 minutes.
And
[tex]36\min \cdot\frac{1hour}{60\min }=0.6hour[/tex]Then, the total hours are 9.6 hours.
The water level decreased by 6/35 in. Then:
[tex]d=\frac{\frac{6}{35}in}{9.6\text{hour}}\Rightarrow d=0.01786in/\text{hour}[/tex]Then, the level decreased approximately 0.01786 in/hour at that period of time (the water level decreased at a constant rate).
Would you help me with 64 A, B , and C i
Given data:
Rate of decrease: 2.5 inches per hour
After 1.5 hours the candle is 11.5 in long
Let x be the number of hours
Let y be the length of the cangle remaining
Linear equation:
[tex]\begin{gathered} y=mx+b \\ \\ m=rate\text{ of change} \\ b=initial\text{ value} \\ \\ \\ y=-2.5x+b \end{gathered}[/tex]Use given data to find b: After 1.5 hours the candle is 11.5 in long
x=1.5
y=11.5
[tex]\begin{gathered} 11.5=-2.5(1.5)+b \\ 11.5=-3.75+b \\ 11.5+3.75=b \\ b=15.25 \end{gathered}[/tex]a. Formula:
[tex]y=-2.5x+15.25[/tex]b. The formula describes the remaining length (y) using two terms:
-2.5x: first term, this term includes the slope or rate of change (-2.5) and the variable (x)
15.25: second term it the initial lengh of the candle
c.
i. Evaluate the formula for x=3
[tex]\begin{gathered} y=-2.5(3)+15.25 \\ y=-7.5+15.25 \\ y=7.75 \end{gathered}[/tex]After 3 hours burned the length of the candle is 7.75 inches
ii. Evaluate the formula for x=5
[tex]\begin{gathered} y=-2.5(5)+15.25 \\ y=-12.5+15.25 \\ y=2.75 \end{gathered}[/tex]After 5 hours burned the length of the candle is 2.75inches
a. If f(2)= 5, then the point __ is on the graph of f.
b. If (5,0) is on the graph of f, then f(5) =__
Answer:
a. (2, 5)
b. 0
Step-by-step explanation:
The function is y = f(x)
If we plug in a value for x, we should get a value for y and that (x, y) will be a point
a. We have x = 2 and y = f(2) = 5
So x = 2, y = 5 is a point otherwise written as (2, 5)
b. If y = 0, when x = 5 then f(5) = 0
how do this problem and what would be the answer?
We will have the following:
[tex](g\circ f)(x)=2(4x+3)\Rightarrow(g\circ f)(x)=8x+6[/tex]Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept 1.
Answer:
y = 4/3x + 1
Hope this helps :)
Step-by-step explanation:
The slope-intercept form is y = mx + b.
m = the slope which is 4/3
b = the y-intercept which is 1
So to substitute the numbers in, the final equation would be y = 4/3x + 1
Required Question #7 7) 100^2 x 100^5 = 100^y y=?
Given the general rule for exponents:
[tex]a^n\cdot a^m=a^{n+m}[/tex]then, in this case we have the following:
[tex]\begin{gathered} 100^2x100^5=100^y \\ \Rightarrow(100^2)\cdot(100^5)=100^{2+5}=100^7 \\ \Rightarrow y=7 \end{gathered}[/tex]therefore, y=7
The value of a stock decreases by an average of 17 dollars each week. Which of the following represents the total average decrease in the stock after 6 weeks?
6|−17| = 102 dollars
|−17| − |6| = 11 dollars
|−17| − 6 = 11 dollars
−6|17| = 102 dollars
Answer: It is C.
i did the exam.
Step-by-step explanation: It is really about how it is set up so C is the right one.
Give a test to a group of students the grades and gender are summarized below if one student is chosen at random find the property ability that the student was female or got AB round the solution of 3 decimal places
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Data Table
Step 02:
probability (female) or probability (B)
probability = favorable outcomes / total outcomes
probability (female) = 32 / 55
probability (B) = 8 / 55
probability (female) or probability (B) = (32 / 55) + (8 / 55) - (32/55)*(8/55) = 0.6426
The answer is:
probability (female) or probability (B) = 0.643
Find the 55 th term in the following sequence: -102, -98, -94, -90
Answer:
114
Step-by-step explanation:
Using the explicitly formula for an arithmetic sequence, the nth term is 4n-106.
Thus, the 55th term is 55(4)-106 = 114.
Julie can run 3 laps in 9 minutes. At this rate, how many laps can she run in 24 minutes?
In 24 minutes Julie can run 8 laps.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Julie can run 3 laps in 9 minutes that is :
in 9 minutes = 3 laps
Now, to find the laps covered by Julie in 24 minutes we first find the laps rate per minutes by dividing 9 both the side :
in 9/9 minutes = 3/9 laps
in 1 minutes = 1/3 laps
Multiply 24 both the side :
in 24 minutes = 24/3 laps
in 24 minutes = 8 laps
Therefore, in 24 minutes Julie can run 8 laps.
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x f(x)-2 -6-1-10 212 23-14 -6Which interval could contain a solution to f(x) = 0?A. -6
Notice that when x = -1, f(x) = -1, and if x = 0, then f(x) = 2.
As we can see, the values of f(x) change from negative to positive between -1 and 0. This means that between the interval -1 < x < 0, we can find f(x) = 0
