Answer:
The mixed number 1 1/6 converted into an improper fraction is 7/6.
Step-by-step explanation:
The improper fraction representation after converting of 1 1/6 is 7/6 where numerator is 7 and denominator is 6
To convert a mixed number to an improper fraction, we follow these steps:
Multiply the whole number by the denominator of the fraction.
In this case, multiply 1 (the whole number) by 6 (the denominator), which gives 6.
Add the numerator to the result obtained in step 1.
The numerator in this case is 1. Adding 1 to 6 gives 7.
Place the result from step 2 as the numerator of the fraction, and keep the denominator the same.
The denominator remains 6.
Therefore, the improper fraction representation of 1 1/6 is 7/6.
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possible number of extrema a 4th degree polynomial could have is:
A. 3 or 1 extrema
B. 4 or 2 extrema
C. 5 extrema
D. none
Answer:
A
Step-by-step explanation:
Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:
Answer:
Her raise per hour is $3.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
It can be solved by using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.
She must solve the equation:
[tex]x^2-6x+9=0[/tex]
The solution to the equation is the increase in her hourly wage.
Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]
Since the square root is 0, there is only one solution:
[tex]\displaystyle x=\frac{6}{2}=3[/tex]
x = 3
Thus, her raise per hour is $3.
Angie has a car worth $18,200. She has $525 in cash, and $2,800 in her savings account. Her only debt is the loan she took out to buy the car. If angie's net worth is $9,025, what is the amount of her loan? answer Choice: A. $5,850 B. $9,025 C. $11,825 D. $12,500. Please help:)
Step-by-step explanation:
18,200
-12,350
5,850 (A) 5,850
9(2n+1) simplify expression I will mark brainliest correct answer
Answer:
18n+9 i think
Step-by-step explanation:
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
C = 5 over 9(F − 32)
C = 5/9 (F − 32)
To solve for F, first, we will multiply both sides by 9/5.
C × 9/5 = 5/9 (F − 32) × 9/5
9/5 C = F − 32
Now, we add 32 to both sides.
9/5 C + 32 = F − 32 + 32
9/5 C + 32 = F
F = 9 over 5C + 32
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
If f(x)=|x−5|+2, find f(3)
Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4A peacock walks 6 feet in 15 seconds how many feet can a peacock walk in 98 seconds?
Answer:
[tex]Distance = 39.2[/tex]
Step-by-step explanation:
Given
[tex]Distance = 6ft;\\ Time = 15seconds[/tex]
Required
Determine the distance covered in 98 seconds
To solve this, the following assumption must be made:
The peacock walks at a constant speedSo, first we calculate the speed
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 6 for Distance and 15 for Time
[tex]Speed = \frac{6}{15}[/tex]
[tex]Speed = 0.40[/tex]
Next, is to calculate the required distance
[tex]Speed = \frac{Distance}{Time}[/tex]
In this case:
[tex]Speed = 0.40[/tex] because it is constant and
[tex]Time = 98[/tex]
The expression becomes:
[tex]0.40 = \frac{Distance}{98}[/tex]
Make Distance the subject:
[tex]Distance = 0.40 * 98[/tex]
[tex]Distance = 39.2[/tex]
The peacock will walk 39.2 feet in 98 seconds
Plz help plz I’m begging I will give brainliest
Answer:
B is the answer.
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.
(can i get brainliest now)
Urgent plss! Thanks For the answers
==================================================
Work Shown:
[tex]\displaystyle \lim_{x \to 3} \frac{f^2(x)-4}{f^2(x)-f(x)-2}\\\\\\\displaystyle \lim_{x \to 3} \frac{(f(x)-2)(f(x)+2)}{(f(x)-2)(f(x)+1)}\\\\\\\displaystyle \lim_{x \to 3} \frac{f(x)+2}{f(x)+1}\\\\\\\displaystyle \frac{f(3)+2}{f(3)+1}\\\\\\\displaystyle \frac{2+2}{2+1}\\\\\\\displaystyle \frac{4}{3}\\\\\\[/tex]
Notes:
In step 2, I used the difference of squares rule to factor the numerator. The denominator can be factored through trial and error. The key here is the f(x)-2 terms that show up in each. Those factors cancel in step 3.
Afterward, we apply the substitution rule, [tex]\displaystyle \lim_{x \to a} f(x) = f(a)[/tex], so basically I plugged in x = 3. Then evaluated f(3) = 2 due to the point (3,2).
What is the product of 10 and 3/4
i really need help asap
Answer:
-7=k
Step-by-step explanation:
5k-3k-2=-16
2k-2=-16
2k=-14
k=-7
What’s the zero of the function on the graph PLEASE
Answer:
B) x = -5
Step-by-step explanation:
The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.
I hope this helps! :)
A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.
· Lucy buys 3 apples and 6 mangos for a total of $9.15.
· Amir buys 8 apples and 4 mangos for 11.92.
What is the cost of a single apple?
Answer:
$0.97
Step-by-step explanation:
Let the cost of a single apple is x and that of single mango is y.
ATQ,
3x+6y=9.15 ....(1)
8x+4y=11.92 ...(2)
Multiply equation (1) by 8 and equation (2) by 3
24x+48y=73.2 ...(3)
24x+12y=35.76 ...(4)
Subtract equation (2) from (1) :
24x+12y-(24x+48y) = 35.76 - 73.2
12y-48y = -37.44
-36y = -37.44
y = $1.04
Put the value of y in equation (1)
3x+6y=9.15
3x+6(1.04) = 9.15
3x = 9.15-6(1.04)
3x = 2.91
x = $0.97
Hence, the cost of single apple is $0.97.
Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.
A P = 22 m, A = 129 sq. m
B P = 42 m, A = 159 sq. m
C P = 52 m, A = 169 sq. m
D P = 32 m, A = 189 sq. m
Answer:
A= l×l
= 13×13
A= 169
P= 4l
= 4×13
= 52
so the answer is C
WILL GIVE BRAINLIEST :)
Answer:
c
Step-by-step explanation:
it would have some exponent but its the only one that is constant
b=9 c=4 bc+12.3=?
AAAAAAAAAAAAAAAAAAAAAAAAAASAP
Answer:
48.3
Step-by-step explanation:
since b = 9 and c = 4
9 x 4 = 36 and 36 + 12.3 = 48.3
lb = 64 oz Helppppppppppppp me
[tex]5[/tex]
Answer:
no u
Step-by-step explanation: no no no no no no no no no
Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)
Given:
Equation of line is [tex]y-25=2(x-10)[/tex].
A line is perpendicular to the given line and passes through (-3,7).
To find:
The point slope form of the perpendicular line.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex] ...(i)
where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.
We have,
[tex]y-25=2(x-10)[/tex] ...(ii)
From (i) and (ii), we get
[tex]m_1=2[/tex]
Product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]2\times m_2=-1[/tex]
[tex]m_2=-\dfrac{1}{2}[/tex]
So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].
Point slope form of the perpendicular line is
[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]
[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]
Therefore, the correct option is C.
f−1(f(x)) = f(f−1(x)) =
Given:
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]
To find:
The missing value.
Solution:
We have,
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex] ...(i)
We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then
[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex] ...(ii)
From (i) and (ii), we get
Missing value = [tex]x[/tex]
Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].
show the steps on how to use the distributive property to evalute 9·67
Answer:
6.oz I will ply to get a
Step-by-step explanation:
ok is the only
Answer:
Step-by-step explanation:
9(67)=9(70-3)=
A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month
Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
what is this answer!!!!!!!!
Step-by-step explanation:
what is this answer
(3x + 40) + (5x - 52) = 180°
8x - 12 = 180°
8x = 180 + 12
8x = 192
8x = 24
x = 3
Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
What temperature is halfway between 0 and 14 degrees
Answer:
7°
Step-by-step explanation:
you get the minimum +the maximum ÷ 2
so : (0+14)÷2 =7°
In a class of 25 students, 9 have a cat and 8 have a dog. There are 2 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?
Answer:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
The probability that a student has a cat given that they do not have a dog is 3/5
What is probability ?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question,
The number of student who do not have a dog is
25 - ( 8 + 2 ) = 15
9 have a cat { do not have a dog is a prerequisite }
So the probability that a student has a cat given that they do not have a dog = 9/15
= 3/5
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Solve using substitution.
y = 3x – 6.
y = 2x – 1
Answer:
x = 1 and y = 3
Step-by-step explanation:
To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y
2x - y = -1
2x = y - 1
2x + 1 = y
Now we can substitute 2x + 1 for y in the other equation
3x + 2x + 1 = 6
5x = 5
x = 1
now that we have x, we can get y
2(1) - y = -1
2 - y = -1
2 = y - 1
3 = y
So x = 1 and y = 3
The table below shows some prices at a produce stand.
Produce Price per Pound
Onions $2.25
Yellow Squash $2.99
Spinach $4.00
Potatoes $2.50
Florence wants to spend no more than $4 on onions. Will she be able to buy 1.9 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.
HELPPPPP PLEASE!
Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$
If $p > q$, what is the value of $p - q$?
Given:
p and q are the two distinct solutions to the equation
[tex](x-3)(x+3)=21x-63[/tex]
To find:
The value of p-q if p>q.
Solution:
We have,
[tex](x-3)(x+3)=21x-63[/tex]
[tex](x-3)(x+3)=21(x-3)[/tex]
[tex](x-3)(x+3)-21(x-3)=0[/tex]
[tex](x-3)(x+3-21)=0[/tex]
[tex](x-3)(x-18)=0[/tex]
Using zero product property, we get
[tex]x-3=0\text{ and }x-18=0[/tex]
[tex]x=3\text{ and }x=18[/tex]
Here, 18>3, so p=18 and q=3.
Now,
[tex]p-q=18-3[/tex]
[tex]p-q=12[/tex]
Therefore, the value of p-q is 12.
Answer:
The answer is 5, the "Expert Verified" is wrong :)
Step-by-step explanation:
First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.
Three vehicles recorded the following information about their trips.
Van: 500 miles in 7.5 hours
Truck: 300 miles in 5 hours
Car: 400 miles in 5.5 hours
Find the unit rate of miles/hour for the Van.
Answer:96km in 1 hour requires a speed of 96km/h; 96km in 2 hours requires a speed of 96/2=48km/h.
You can travel at any speed between 48km/h and 96km/h to arrive in between 1 and 2 hours.
There is no sufficient info to solve the problem and answer the question.
Also, this fragment "Two bikers started at the same," is a nonsense, not allowable in Math.
Find the antiderivative of the velocity function.
1 rotation = 2pi radians = 2*3.14 radians = 6.28 radians
1 rotation per 8 seconds is the angular velocity 2pi%2F8 radians per second = 6.28%2F8 = 0.785 radians per second
hope this is helpful
-2 (x + 4) – (3x – 8)
What it equals
Answer:
-2x+-8-3x-8
Step-by-step explanation:
-2 times x =-2x
-2 times 4=-8
Answer:
x
Step-by-step explanation:
-2 (x + 4) – (3x – 8)
-2x-8-3x+8
x+0
x