Answer:
Step-by-step explanation:
from the graph, y=0 when x=3
so that eliminates:
g(x) = (x + 3)3
g(x) = x3 + 3
g(x) = x3 − 3
ans is g(x) = (x-3)^3
Answer:
g(x) = (x - 3)3
Step-by-step explanation:
Compare to the parent function of f(x) = x3, the displayed graph is shifted to the "left" by 3 units so it is a translation in the x-direction.
The answer is g(x) = (x - 3)3
How do I solve 28.8=18x
help please! Note: Use ELIMINATION!!!
Write the solution to the given inequality in interval notation
You randomly select one card from a 52-card deck. find the probability of selecting a blackblack twotwo or a blackblack eighteight
A regular hexagon rotates counterclockwise around its center. It turns through angles greater than 0° and less or equal to 360°. At how many different angles of a hexagon map onto itself?
there are 6 sides to a hexagon
360/6 = 60 degrees
so it will map onto itself at 60, 120, 180, 240, 300 & 360
there are 6 different angles
(01.02) kim earns $30 for babysitting on friday nights. she makes an average of $1.25 in tips per hour. write the function of kim's earnings, and solve for how much she would make after 3 hours. (1 point) y = 1.25x + 30; $33.75 y = 30x + 1.25; $43.75 y = 30x + 1.25; $91.25 y = 1.25x + 30; $31.25
A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get in line about how many minutes will it take you to get to the front of the line
Solve for x
7x-0.15=2x+0.6
Explain
A student has to earn a total of at least 280 points on four tests in his math class to pass the class, and his total on the first three tests is 197 points. set up an inequality necessary to find the minimum number of points that he must earn on the fourth test to pass the class. then solve the inequality.
Which of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2 open circles on 1 and 2, arrows pointing out open circles on 1 and 2, line segment between no solution
Answer:
open circles on 1 and 2
Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin
To solve this problem, we set up two linear equations based on the given information and solved them simultaneously. We found that Erin's age is 24 years.
Explanation:This problem is a classic example of a linear equation. We can set up two equations based on the information given:
Erin is 8 years younger than twice Paula’s age. This can be written as E = 2P - 8.The sum of their ages is 40. This can be written as E + P = 40.Upon substituting the value of E (Erin's age) from the first equation into the second, we get: 2P - 8 + P = 40. Simplifying this gives P = 16. Substituting P = 16 into the first equation, we find E = 24. Therefore, Erin is 24 years old.
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round 38562.7 to 1 significant figure
I need help with equation number 6
Toni can carry up to 23 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (
b. weigh 4 lb each. How many books can she carry in her backpack? The inequality is . Toni can carry up to books in her backpack.
Solve each equation. Then check your solution. 3-a/7=-2
A 150° angle is an obtuse angle. What do you Notice about the statement below? What do you Wonder about the statement?
Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and would like to purchase at least 2 pairs of shorts.
a) Write a system of linear inequalities to represent
this situation, then graph.
b)Using your graph, give two possible combinations
of shorts and Brandon can buy.
Two possible solutions are (a) [tex]3[/tex] pairs of shorts and [tex]5[/tex] t-shirts
(b) [tex]4[/tex] pairs of shorts and [tex]3[/tex] t-shirts.
[tex]x=the\; number\; of shorts\\y=the\; number\; of\ t-shirt\; bought[/tex]
So equation formed is
[tex]16x+10y\leq 100[/tex]
[tex]10y\leq 100-16x\\y\leq 10-1.6x[/tex]---Eq [tex]1[/tex]
Bradon wants at least [tex]2[/tex] pair of shorts.Therefore
[tex]x\geq 2[/tex]--Eq [tex]2[/tex]
Now put,
[tex]x=3 \\y=10-1.6(3)\\y=10-4.8\\y=5\\[/tex]
Hence [tex]3[/tex] shorts and [tex]5[/tex] t-shirts
Now put,
[tex]x=4 \\y=10-1.6(4)\\y=10-6.4\\y=3\\[/tex]
Now graph the equation,
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Finding the average values of the representative coordinates of the two endpoints of a line segment in a coordinate plane is also known as using the _______________ formula.
If 1 cm = 0.394 inches, how many inches are in 1 kilometer?
Answer: There are 39400 inches in 1 kilometers.
Step-by-step explanation:
Since we have given that
1 cm = 0.394 inches
As we know that
1 m = 100 cm
1 km = 1000 m
1000 m = 100×1000=100000 cm
1 km = 100000 cm
So, it becomes,
[tex]1\ km=0.394\times 100000\\\\1\ km=39400\ inches[/tex]
Hence, there are 39400 inches in 1 kilometers.
Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the next four years. if the money could be invested at 12% compounded quarterly, which offer should Janet choose?
Give the slope intercept form of the equation of the line that is perpendicular to 5x-3y=8
If you live in Dallas, then you live in Texas, what is the contrpositive of this?
How would I solve 1/5=125^x
Is the relation a function? (3, 6) (10, 13) (11, 1) (13, 6)
Yes, Given relation is a function.
Here,
Points are given as,
(3, 6) (10, 13) (11, 1) (13, 6)
What is a function?
A function is defined as a relation between a set of inputs having one output each.
Now,
The given relation is a function because we don't have any repeated x values. Each input (x) leads to exactly one output (y). if we plotted all the points, then we would not be able to pass a single vertical line through more than one point. Hence, this graph complies vertical line test.
So, Given relation is a function.
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The difference of the squares of two positive consecutive even integers is 20 . find the integers. use the fact that, if x represents an even integer, then xplus 2 represents the next consecutive even integer.
The positive even numbers are 4 and 6.
EquationState of quality between two expressions consisting of variable and/or number.
Given
The difference of the squares of two positive consecutive even integers is 20.
To findThe number will be
How do find the numbers?The difference of the squares of two positive consecutive even integers is 20.
Let x be the even number and positive consecutive even is (x+2)
Then according to the condition
[tex]\begin{aligned} (x+2)^{2} -x^{2} &=20\\x^{2} +4x+4-x^{2} &= 20\\4x &= 20-4\\4x &= 16\\x &= \dfrac{16}{4}\\x &= 4\end{aligned}[/tex]
Then the positive even numbers are 4 and 6.
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Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?
Answer:
X-intercept states that the graph crosses the x-axis.
Substitute y = 0 and solve for x.
As per the statement:
Harry's school is selling t-shirts to raise money for the archery team.
The school will receive 35% of the total sales which can be modeled by the equation:
y = 0.35x
where, x represents the total number of sales and y represents the total cost of sale.
By definition of x-intercept:
0 = 0.35x
⇒x = 0
Therefore, the x-intercept in the equation represents:
The number of sales when no money has been raised.
2,226 divided by 53 how do you solve this??
help me please geometry
How much is 8% of 1249? round the answer to the nearest hundredth
Alexandra is two years older than brad. cecilia is three years younger than alexandra. all three ages added together gives a total of 37 years. how old is each student?
Let us say that:
x = age of brad
x + 2 = age of Alexandra
(x + 2) – 3 = age of Cecilia = x – 1
We are also given that:
x + x + 2 + x – 1 = 37
solving for x:
3x + 1 = 37
3x = 36
x = 12 = age of brad
x + 2 = 14 = age of Alexandra
x – 1 = 11 = age of cecilia