Answers
Answer: x=3
Step-by-step explanation:
[tex]g(x)=x^3-3\\\\g(x)=24\\\\Hence,\\\\x^3-3=24\\\\x^3-3+3=24+3\\\\x^3=27\\\\x^3=3^3\\\\Thus,\\\\x=3[/tex]
Related Questions
I need help pleaseeeeeee
Answers
Explanation- 600-294=306
306 ÷ 18=17
B- $492
Explanation-6x18=108
600-108=492
Data were collected on the distance a golf ball will travel when hit by a golf club at a certain speed. the speed, s, is measured in miles per hour, and distance, y, is measured in yards. the regression line is given by Å· = 5.32 46.73s. identify the slope and y-intercept of the regression line. interpret each value in context. the slope, b = 5.32, indicates that the distance increases by 5.32 yards for every one mile per hour of speed. the y-intercept, a = 46.73, is the distance estimated by this model if the speed is zero miles per hour. the slope, b = 5.32, indicates that the distance decreases by 5.32 yards for every one mile per hour of speed. the y-intercept, a = 46.73, is the distance estimated by this model if the speed is one mile per hour. the slope, b = 46.73, indicates that the distance increases by 46.73 yards for every one mile per hour of speed. the y-intercept, a = 5.32, is the distance estimated by this model if the speed is zero miles per hour. the slope, b = 46.73, indicates that the distance decreases by 46.73 yards for every one mile per hour of speed. the y-intercept, a = 4.17, is the distance estimated by this model if the speed is one mile per hour.
Answers
The slope, b = 5.32, indicates that the distance increases by 5.32 yards for every one mile per hour of speed. The y-intercept, a = 46.73, is the distance estimated by this model if the speed is zero miles per hour.
Based on the given conditions, formulate,
The speed, s, is measured in miles per hour, and distance, y, is measured in yards.
The regression line is given by,
Å = 5.32 + 46.73s (Equation-1)
Then find,
The slope and y-intercept of the regression line.
The general form of linear regression line is
A linear regression line has an equation of the form Y = a + b x, where x is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
y = a + b x (Equation-2)
where x is variable. In the given equation the variable is denoted by s.
On comparing Equation-1 and Equation-2,
We can write,
a = 46.73
b = 5.32
It means slope is 5.32 and y-intercept is 46.73.
The slope, b = 5.32, indicates that the distance increases by 5.32 yards for every one mile per hour of speed.
The y-intercept, a = 46.73, is the distance estimated by this model if the speed is zero miles per hour.
Therefore,
The slope, b = 5.32, indicates that the distance increases by 5.32 yards for every one mile per hour of speed. The y-intercept, a = 46.73, is the distance estimated by this model if the speed is zero miles per hour.
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In every box of bubble gum there are 18 pieces, which describes a proportional relationship between the number of packages, x, and the number of pieces, y. Choose the equation that expresses this relationship.
Answers
Answer:
Thats nice
Step-by-step explanation:
A line with a slope of 8 passes through the point (1, 8). What is its equation in
slope-intercept form?
Answers
The equation in slope-intercept form for the line with slope of 8 and passing through (1,8) is y = 8x
What is slope intercept form ?One of the most widely used forms for expressing a line's equation is the slope intercept form of a straight line. If you know the slope of the straight line and the y-intercept, you can use the slope intercept formula to determine the equation of the line ( the y-coordinate of the point where the line intersects the y-axis). Every point along a line must satisfy its equation in order for it to exist.
y=mx + b is the equation in slope intercept form
x=1, y=8
y=8x+ b
8 = 8 + b
b= 0
The equation in slope-intercept form for the line with slope of 8 and passing through (1,8) is y = 8x
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22 points for doing this
Answers
Answer:
The correct answer is D. -8<535
Step-by-step explanation:
In a math perspective, -8 < 535. Done
Otherwise, the elevations of the lowest and highest points start from below sea levels up to land and so on. Since negative numbers here are feet below the sea level, we went from New Orleans up. So D.
Analyze Nikia says that 3/2 divided by 1/4 equals 3/8. Draw a model and use words to
explain why Nikia's statement is not reasonable.
what is 3/2 divided by 1/4
Answers
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal.
Nikia says that 3/2 divided by 1/4 equals 3/8.
Nikia's statement is wrong .
3/2 divided by 1/4 = [tex]\frac{3}{2} X \frac{4}{1}[/tex] = 6.
How do you divide two fractions with different denominators?To divide fractions with unlike denominators, first convert the division problem to a multiplication problem by multiplying the numerator of the division problem by the reciprocal of the denominator of the division problem, and then simplify.Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in dividing fractions is to find the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators. Then multiply the two denominators together.Here,
3/2 divided by 1/4 = [tex]\frac{3}{2} X \frac{4}{1}[/tex] = 6.
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the rectangular garden has an area 8x^2+14x-15 square meters.if the length measures (2x+5)meters.find the width.
Answers
The area of a rectangle can be calculated with this formula:
[tex]A=lw[/tex]Where "l" is the length and "w" is the width of the rectangle.
In this case, you know that the area of the rectangle (in square meters) is represented with this expression:
[tex]8x^2+14x-15[/tex]And the length (in meters) is represented with the expression:
[tex]2x+5[/tex]Then, you can substitute the expressions into the formula:
[tex]\begin{gathered} A=lw \\ (8x^2+14x-15)=\mleft(2x+5\mright)w \end{gathered}[/tex]Now you need to solve for "w":
[tex]\begin{gathered} \frac{8x^2+14x-15}{2x+5}=w \\ \\ w=\frac{8x^2+14x-15}{2x+5} \end{gathered}[/tex]To simplify the expression, you can follow this procedure:
1. Factor the numerator as follows:
- Identify the coefficients:
[tex]\begin{gathered} a=8 \\ b=14 \\ c=-15 \end{gathered}[/tex]- Rewrite the middle term as a sum of two terms that makes that:
[tex]\begin{gathered} a\cdot c=(8)(-15)=-120 \\ \end{gathered}[/tex]And whose sum is:
[tex]b=14[/tex]Then, this is:
[tex]8x^2+14x-15=8x^2+(-6x+20x)-15=8x^2-6x+20x-15[/tex]Because:
[tex]\begin{gathered} -6+20=14 \\ \\ (-6)(20)=-120 \end{gathered}[/tex]- Make two groups of two terms:
[tex]=(8x^2-6x)+(20x-15)[/tex]- Factor out the Greatest Common Factor from each group of terms. Notice that the Greatest Common Factor of the first group is:
[tex]GCF=2x[/tex]And the Greatest Common Factor of the second group is:
[tex]GCF=5[/tex]Then:
[tex]=2x(4x-3)+5(4x-3)[/tex]- Factoring out this Greatest Common Factor:
[tex](4x-3)[/tex]You get:
[tex]=(4x-3)(2x+5)[/tex]2. Substitute the factored numerator into the equation:
[tex]w=\frac{(4x-3)(2x+5)}{2x+5}[/tex]3. Since:
[tex]\frac{(2x+5)}{(2x+5)}=1[/tex]You get:
[tex]\begin{gathered} w=(4x-3)(1) \\ w=4x-3 \end{gathered}[/tex]Therefore, you can determine that the answer is:
[tex]4x-3[/tex]A pail contains seven red, six green, three orange, and four black marbles. One marble is to be drawn at random. What is the probability that the marble is orange?
Answers
Answer:
[tex]\frac{3}{20}[/tex] or [tex]0.15[/tex]
Step-by-step explanation:
What is probability and how do we calculate it?
Probability, or the chances of a certain event happening at random, can be calculated with the following formula:
[tex]\bf P=\frac{\text{\bf number of successful outcomes}}{\text{\bf number of total outcomes}}[/tex]
In the formula written above, the number of successful outcomes refers to how many times the desired event is achieved (in this case, how many ways an orange marble could be picked), and the number of total outcomes refers to how many events were possible (how many ways a marble could be picked). (Note that the term "events" can be thought of as similar to "ways" - 3 events in which an orange marble is picked simply means that there are 3 ways for orange marbles to be picked.)
How do we calculate probability in this scenario?
In this scenario, we have 3 orange marbles out of a total of 7 + 6 + 3 + 4 = 20 marbles in the pail, and we want to find the probability, or chances, that one randomly picked marble out of the total will be orange. Thus, the number of successful outcomes is how many different events will result in an orange marble being picked. This is equal to how many orange marbles there are, which is 3. Similarly, the number of total outcomes is equal to how many different events there can possibly be when picking. This is equal to the number of marbles (not necessarily orange) there are in the pail, which is 20.
From the above observations, we can conclude that the probability of a randomly drawn marble being orange is [tex]\bf \frac{3}{20}[/tex] or [tex]\bf 0.15[/tex].
Find the measure of FG.
Thank you ;)
Answers
both sides are equal, the only correct answer for x is 5 which makes FG 16
the sum of the 2 numbers is 92 the the product of the 2 nrumbers is 2107 what is the age of audras oldest parent is the youngest dugters age
Answers
By the concept of quadratic equation the oldest parent has 49 years and the other is 43 years.
What are quadratic equations?Any equation that can be written in standard form as where x stands for an unknown, a, b, and c are known values, and a 0 is an algebraic term is known as a quadratic equation. A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible. A quadratic function is one that has the formula f(x) = ax2 + bx + c, where a, b, and c are all integers with a not equal to zero. A curve known as a parabola makes up the quadratic function graph.
Let's define x = age of parent 1, and y = age of parent 2, and suppose that y is the oldest one.
We know that:
x + y = 92
x × y = 2107
Now we have a system of equations that we need to solve:
The first step is isolate one of the variables in one of the equation, let's isolate x in the first equation:
x = 92 - y
Now we can replace it in the second equation and find the value of y.
x × y = 2107
y × (92 - y) = 2107
92y - y² = 2107
Now we need to solve a quadratic equation!
-y² + 92y - 2107 = 0
so we have two solutions:
y = (-92 + 6)/(-3) = 43
y = (-92 - 6)/(-2) = 49
Because y is the oldest one, we need to take the biggest solution, this is y = 49.
So the oldest parent has 49 years.
If you want to find the age of the other parent, replace this in the first equation:
y + x = 92
49 + x = 92
x = 92 - 49
= 43
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The following equations define a system.
-2x - y = 10
x - 2y = 5
Which graph represents the system?
Answers
The system represents a straight graph.
How is straight lines and a linear equation related ?The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.
Graphing a system of linear equations is as simple as graphing two straight lines. When the lines are graphed, the solution will be the (x,y) ordered pair where the two lines intersect (cross). * Before you begin, rearrange the equations so they will read "y =".
The given system of equations indicate a linear equation .
This means that after solving this we will get a straight line slope whose value can be calculated by the formula tan theta = height / base
Thus the system represents a straight graph .
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Answer:
B
Step-by-step explanation:
NEED HELP! 76% of 250 and how do I show my work?
Answers
Answer:
Step-by-step explanation:
76/100 of 250
cancel out the zeroes
multiply and divide
76*250/100
=190
Answer:
190
Step-by-step explanation:
76%=76/100
so 76% of 250 can be written as :
76/100 * 250/1 =19000/100
you can simplify that and you get the answer 190
Q(x)=-3x graph the linear function with points
Answers
The graph of the linear function passes through (0,0) , (1,-3) and (-2,6) and the graph is attached below.
A polynomial of degree one or even less, including the zero polynomial, is referred to as a linear function in calculus, analytic geometry, and related fields (the latter not being considered to have degree zero).
If a function's graph (in Cartesian coordinates) is a quasi-line in the plane, calculus and other related mathematical disciplines will refer to it as a linear function from the rational data to the real numbers. When the input vector is changed, the output frequently changes in a way that is proportional to the change in the input variable. When drawn using a different type of coordinate system, a straight line can represent a number of distinct functions.The graph of the function will be represented by the equation:
Q(x) = - 3x
at x=0 , Q(x) = 0
at x = 1 , Q(x) = -3
at x = -2 , Q(x) = 6
Therefore the graph will pass through the points (0,0) , (1,-3) and (-2,6).
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My brain stopped working so i need help
Answers
Answer:
-1.94
Step-by-step explanation:
Equation: [tex]\frac{c}{-1} + 0.56 = 2.5[/tex]
-
Solving the equation:
[tex]c + 0.56 = 2.5 * 1\\c + 0.56 = 2.5\\c = 2.5 - 0.56\\c = -1.94[/tex]
What is the value of |238| + |−28| − |−14|?
A 224
B 196
C 280
D 252
Answers
Answer:
D
Step-by-step explanation:
av= absolute value
av of 238 = 238
av of -28 = 28
av of -14 = 14
238 (+) 28 (-) 14 = 252
238 + 28 = 266
266 - 14 = 252
therefore 252 is the correct answer
hope this helped ^^
Find the missing exponent show work if u can
Answers
Answer: pretty sure its 5 to the power of 7
Answer:
7
Step-by-step explanation:
Exponents:[tex]\sf \boxed{\dfrac{a^m}{a^n}=a^{m-n}}[/tex]
In exponent division, if bases are same, subtract the exponents.
Let ? be 'x'.
[tex]\sf \dfrac{^{11}}{^x}=^4\\\\5^{11-x}=5^4[/tex]
As bases are same, compare the exponents.
11 - x = 4
-x = 4 -11
-x = -7
x = -7 ÷ (-1)
x = 7
on thursday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on thursday?
Answers
The number of hamburgers sold on Thursday is 106
Finding unknown quantity from Linear equation:
The Linear equation is a mathematical statement that is used to find an unknown quantity in a problem. Here to represent the Unknow qualities we use variables like x, y, z, etc.
Here we have,
On Thursday, a local hamburger shop sold a combined total of 424 hamburgers and cheeseburgers.
Since we don't know the number of hamburgers and cheeseburgers.
Represent them with variables x and y
Let x be the number of hamburgers
and y be the number of cheeseburgers
=> x + y = 424 ----(1)
Given that,
The number of cheeseburgers sold was three times the number of hamburgers sold
=> y = 3x -----(2)
From (1) and (2)
=> x + 3x = 424
=> 4x = 424
=> x = 106
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The complete question is
On Thursday, a local hamburger shop sold a combined total of 424 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Line p has an equation of y=–5/6x–5. Line q includes the point (9,–4) and is parallel to line p. What is the equation of line q?
Answers
If line q is parallel to line p.The equation of line q will be y =-5/6 x + 3.5
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
m =(y₂-y₁)/(x₂-x₁)
It is given that, Line p has an equation of y=–5/6x–5. Line q includes the point (9,–4) and is parallel to line p.
The slope of line p is -5/6.
If two lines are parallel the slope of the equation will be the same.
As a result, the slope of line q is -5/6.
The line passes through the point (9,–4) with slope -5/6 is,
y - y₁ = m (x -x₁)
y - (-4) = -5/6(x-9)
6(y+4) =-5(x-9)
6y+24 = -5x + 45
6y = -5x + 45 -24
6y = -5x +21
y =-5/6 x + 3.5
Thus, if line q is parallel to line p. The equation of line q will be y =-5/6 x + 3.5
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Obiri uses his bicyde to travel x km from his house to work He then uses 2½hours at a rate of 5km/h to his place of work If the distance from his house to work is 15 km. fond x
Answers
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled. Speed is inversely correlated with time and directly correlated with distance.
What are time, distance, and speed?
Speed tells us how swiftly or slowly an object is moving. While distance, as the name suggests, relates to the amount of space between two sites, time refers to the period of time separating two events. Speed is calculated as Distance x Time.
Time is calculated as Time = Distance Speed.
Distance is calculated as Distance = Speed x Time.
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Nadine wants to cover a wall of her dining room with glass tiles. The wall is 8 feet by 8 feet, and the tiles are 16 inches by
16 inches. How many tiles will she need?
Answers
Nadine will need 36 tiles.
This question form linear equation.
What is linear equation ?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
We know, 1 feet = 12 inches
The wall is 8 feet by 8 feet
so convert it into inches we get, 96 inches by 96 inches.
It's given the tiles are 16 inches by 16 inches.
so, let x = tile she needs
x(16 * 16) = 96 * 96
now, find x
x = (96 * 96) / (16 *16)
x = 36
so, she needs 36 tiles
Therefore, Nadine will need 36 tiles.
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What is 44 laps in 4 days = ? Laps in 3 days
Answers
The volume of the rectangular prism is defined by V = lwh, find the volume of the
rectangular prism shown below.
Answers
Volume of the rectangular prism is 6x³ + 20x² - 2x - 24
How to find volume ?
The formula of volume of rectangular prism is v = lwh
l = length
w = width
h = height
so we have length = 3x+4 , width= x+3 & height = 2x - 2
apply to formula :
volume = lwh
v =(3x+4)*(x+3)*(2x -2)
finally we get ,
v =6x³ + 20x² - 2x - 24
Volume of the rectangular prism is 6x³ + 20x² - 2x - 24
volume :
Volume is a measure of occupied three-dimensional space.It is often quantified numerically using SI derived units or by various imperial units.The definition of length is interrelated with volume.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.The formula for the volume of a prism is V=Bh. where B is the base area and h is the height. Liquid volume is a way to measure an amount of liquid by describing it how much 3-D space it occupies .To learn more about volume refer :
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Sam had $26 when he went to the fair. He had a hot dog for $2.50, a drink for $1.75, and fried dough for $4.80. Then he bought a hat for $12.88. How much did he have left?
Answers
Answer:
4.07
Step-by-step explanation:
2.50+1.75+4.80+12.88=4.07 EZ
………………helppppppppppp
Answers
Answer:
B.
Step-by-step explanation:
Help me out!! Click the pic to see the question
Answers
You have to plug 30 in for x
13.00 + 0.10(30)
13 + 3
$16
A football team receives the ball on their own 50-yard line. They lose of 20 yards on the first play. What yard line is the ball on? (Please helppp!!)
Answers
If they give up 20 yards on the opening play, they're out. The ball is on the 30-yard line.
The starting line is the 50-yard line.
The new yard line following the first play Equals (The yard line following the first play) - (The number of yards lost)
As the football team lost 20 yards after the first play.
After the second play, the new yard line is 50 - 20 = 30 yards.
After the second play, the new yard line is 30.
The ball was on the 30-yard line at the end of the second play.
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A tulip is 2 inches tall after 1 week, 5 inches after 2 weeks, and 8 inches after 3 weeks. Which functions shown below can be used to determine the height, f(n), of the tulip in n weeks. 1. f(n) = 3n-1 2. f(n) = 3+2(n-1) 3. f(n) = f(n-1) + 3 where f(1) = 2
Answers
The height of tulip can be expressed by expression f(n)=3n-1
What do you mean by expression?A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.
Mathematical expression components:
a) Constant: a fixed numerical value
b Variables: They don't accept any predetermined values. Values are assigned based on the criteria.
c)Terms: Constants, variables, or constants multiplied by variables are all acceptable terms (s).
d) Operators:The four operations of addition (+), subtraction (-), multiplication (-), and division (-) are referred to as operators because they are employed to combine the components in an equation.
Given:
1. f(n)=3n-1
after 1 week (n=1)
f(1) = 3*1-1
f(1) = 2 in
After 2 week (n=2)
f(2) = 3*2-1
f(2) = 5in
After 3 week (n=3)
f(3) = 3 *3-1
f(3) = 8in
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In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week, 347 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
If In the first week of July, a record 1,040 people went to the local swimming pool, in the second week, 105 fewer people went to the pool compared to the first week, in the third week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool in the fourth week than in the third week, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week is 30%.
As per the question statement, 1,040 people went to the local swimming pool, in the second week, 105 fewer people went to the pool compared to the first week, in the third week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool the fourth week than in the third week.
We are required to calculate the overall percentage decrease in the number of pool-goers over these four weeks.
To solve this question, we simply need to calculate the exact number people who went to pool in the fourth week, and then, calculate the percentage decrease in the number of pool goes, with respect to the record of the first week.
(1040 - 105 + 140 - 347) = [(1040 + 140) - (347 + 105)] = (1180 - 452) = 728,
That is, 728 people attended the pool in the fourth week.
Therefore, the decrease in the number of pool-goers from the first week till the fourth week = 312
Therefore, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week will be,
[(312/1040) * 100]
= [{312/(104 * 10)} * 100]
= [(312/104) * (100/10)]
= (3 * 10)
=30%
Percentage: In mathematics, a percentage is a dimensionless number or ratio that is expressed as a fraction of 100, and is often denoted using the percent sign, "%"To learn more about percentage, click on the link below.
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A band expects to put songs on their next CD. The band writes and records % more songs than they expect to put on the CD. During the editing process, % of the songs are removed. How many songs will there be on the final CD?
Answers
The number of songs that will be found on the final CD is 3
How to determine the valueFrom the information given, we have the following deductions;
The number of songs that were put in the next CD is 12 songsThe percentage of extra songs that were added is 25%80% of the songs were removed after the final recordingWe have to determine the number of songs on the final CD,
For the recorded CD,
The percentage given is 25%
Then, we get;
12 + (25/100 × 12)
Divide through
12 + (0.25 × 12)
12 + 3
Add the values
15 songs
For the number of removed songs, the percentage given is 80%
Then, we get;
15 - (80/100 × 15)
Divide through
15 - (0.8 × 15)
Multiply the values
15 - 12
3
Hence, the value is 3
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when dividing 560.9 by 100, how should the decimal point be moved?
Answers
The answer would be: 560.9/100 = 5.609
