Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4
(More than one answer)
Answer:
A, C & D
Step-by-step explanation:
A) 1 + 3x = -x + 4 {subtract 1}
1 + 3x -1 = -x + 4 - 1
3x = -x + 3 {add x}
3x + x = -x + 3 + x
4x = 3 {Divide by 4}
4x/x = 3/4
x = 3/4
C) 1 + 3x = -x +4 {Add x}
1+ 3x + x = - x +4 + x
1 + 4x = 4 {subtract 1}
4x = 4 - 1
4x = 3 {Divide by 4}
D) 1 + 3x = -x + 4 { Subtract 3x}
1 = -x + 4 -3x
1 = -4x + 4 Subtract 4}
1 - 4 = -4x
-3 = -4x {Divide by -4}
-3/-4 = x
x = 3/4
x = 3/4
Please answer will give brainliest. Also, please check my other questions out I need help!!
Answer: C
Step-by-step explanation:
HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on
Answer:
8 rides and 5 games
Step-by-step explanation:
2.25x+1.25y=24.25 2.25(8)+1.25(5)=24.25 18+6.25=24.25
Will give brainiest for the correct answer! please!
Answer:
A
Step-by-step explanation:
it's has 1 sulotion hope this helps
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55
Answer:
D. y = 45x + 55
Step-by-step explanation:
If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;
when c1 = $190, t1 = 3
when c2 = $370, t2 = 7
c is the amount charged
t is the time taken
First thug is to get the slope;
slope = c2-c1/t2-t1
slope = 370-190/7-3
slope = 180/4
slope = 45
Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;
190 = 45(3)+c
190 = 135+c
c = 190-135
c = 55
Substitute into the standard form of the equation;
y = mx+c
y = 45x + 55
Hence option D is correct
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.32852.html
Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?
Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.
Answer: 8.484%
Step-by-step explanation:
The formula for percentage error is calculated as:
= (actual value observed - expected value) / expected value × 100
where,
Actual value observed = $480.00
Expected value = $524.50
Percent error = ($480.00 - $524.50)/$524.50 × 100
= -$44.50/$524.50 × 100
= -0.08484 × 100
= -8.484
= 8.484%
Can someone help me with the questions in the picture?
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2choose the graph that represents the point on the coordinate plane. P (0,8)
Note: You missed to add the diagram. After a little research, I found the diagram.
Hence, I am solving the question based on the attached diagram.
Answer:
option C is the right graph that represents the point P(0, 8) on the coordinate plane.
Step-by-step explanation:
The assumed diagram is attached below.
From the diagram, it is clear that:
Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).But, if we closely observe the graph C on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).
Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.
what is 2+2 and what is your favorite song?
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation:
if n represents a number, write an expression that represents a number that is 5 less than n.
n-5
less than implies subtraction after the variable
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
The population of a city increases by 5% every year. If its population today is 300,000, what will its population be
in 2 years?
Answer:
330,750 people
Step-by-step explanation:
If the population increases by 5% every year, in 2 years the population of the city will be 330,750 people. D is also the correct answer as shown in the file.
Population after 2 year is 330,750
Growth rate problem:Given that;
Growth rate = 5% = 0.05
Current population = 300,000
Find:
Population after 2 year
Computation:
Population after 2 year = 300,000(1 + 0.05)²
Population after 2 year = 300,000(1.05)²
Population after 2 year = 330,750
Find out more information about 'Growth rate'.
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When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
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A pair of linear equations is shown:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C
Step-by-step explanation:
I DID THE TEST
The required explanation which is best for the solution of the given equation is option C.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
We are Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
Also The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation
Therefore, "Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines."
Thus, the explanation that is best for the solution is given by Option C
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Please answer this question :)
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6
Answer:
D) 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1/2, -8)
Point (-1/2, -2)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-1/2+1/2)^2+(-2+8)^2}[/tex]Add: [tex]d = \sqrt{(0)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{0+36}[/tex]Add: [tex]d = \sqrt{36}[/tex]Evaluate: [tex]d = 6[/tex]9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?
Answer:
Step-by-step explanation:
30/50= 3/5= 0.6
Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
losing money if there should ever be a crash in the stock market.
Because the stock market is used as a form of gambling, the government refuses to associated
itself with the stock market as a way to discourage gambling.
Stock in a company gives the holder part-ownership of the company, with voting rights on big
decisions, and profits when the value goes up. The people already vote on happenings in the
government and inherently have ownership of the government.
d. A stock is a part ownership in a company, and the leaders of the government won't have the people owning the government.
Answer:
the answer is C
Step-by-step explanation:
Hence, option (C) is the correct answer.
What is a stock market?
The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.
Such financial activities are conducted through formal exchanges and via over-the-counter (OTC) marketplaces that operate under a defined set of regulations.
Stock in a company gives the holder part-ownership of the company, with voting rights on big decisions, and profits when the value goes up.
Hence, option (C) is the correct answer.
To know more about the stock market
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. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.
Answer:
please forgive me I have no clue
Step-by-step explanation:
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
3g - 5 = 17
Help plz
Answer:
g = 7 1/3
Step-by-step explanation:
Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...7.333... and 7 1/3 are equivalent, so just put either one.
help i’ll give brainliest if it’s right
Answer:
C
Step-by-step explanation:
Avi uses a 3.5-m
ladder to climb up
to his tree house.
The foot of the
ladder is 0.8 m
from the tree. How
far
up
the tree does
the ladder reach?
Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
2/92 = X/100
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
(2)(100) = 92X
200 = 92X
X = 2.1739
Then, once you round it, your answer would be X = 2.17.
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1