Answer:
x is 3
Step-by-step explanation:
-2x is -6
2x is 6
x is 3
Answer:
X=3
Step-by-step explanation:
-4(3)=-12
-12-5=-17
2(3)=6
-17+6=-11
I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars
Answer:
2
Step-by-step explanation:
either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.
Mr. Jameson has an apple orchard on his farm. He hires his daughter, Rachel, to pick apples and offers her two payment options:
Option A: $1.50 per bushel of apples picked
Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked
HELP ASAP
Answer:
Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1
Part B: Option A: $9
Part C: Option B: $1,771.47
Part D: The eighth bushel picked is when the exponential function exceeds the linear function.
Step-by-step explanation:
Part A: Write a function to model each option.
Option A: f(x) = 1.50x, where x is the number of bushels of apples picked
Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.
--------------------------------------------------------------------------------------------------------------
Part B: If Rachel picks six bushels of apples, which option should she choose?
Option A: $9 Option B: $2.43
Option A is better since what the number is would be higher.
1.50x6 = 9. If I were to do the same for option b, option a would end up higher.
--------------------------------------------------------------------------------------------------------------
Part C: If Rachel picks twelve bushels of apples, which option should she choose?
Option A: $18 Option B: $1,771.47
After calculating both of them by multiplying by 12 for each, option B ends up to be much better.
--------------------------------------------------------------------------------------------------------------
Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?
The eighth bushel picked is when the exponential function exceeds the linear function.
Hey everyone! Can you help me out with this(for those wondering, these are test corrections, I plan to do half today and half tomorrow)
State whether the following relation is a function.
Answer:
no its not since some dots are above each other and fail the vertical line test
Hope This Helps!!!
Answer:
no the x value repeat
Step-by-step explanation:
Expand the function.
f(x) = (2x + 3)4
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form
Answer: 3x10^2 mi
example:
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
figure b is a scaled copy of figure a
Step-by-step explanation:
figure B is a scaled copy of figure B
by scale factor : 1/2
Can some help please
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
x-10/3=5x+2/2 I need help with he next step please
Answer:
x2 the left side and x3 the right side of the equation
Answer:
X = -2
First you cross multiply, and then you expand to get 15x+6
after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.
a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
please help me calculation completing square?
x²+2x-24=0?
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5
Answer:
[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]
Step-by-step explanation:
The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]
The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]
Find the domain of the function.
f(x) = -5x + 3
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
Please take a look at the picture
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
cosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
2yx= 4 is it a linear function?
Answer:
No, it is not a linear function, rather a rational function
Step-by-step explanation:
Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:
2yx=4
yx=2
y=2/x
Write an inequality to show: The population of China (p) is at least 1,000,000,000 people.
I'll try to mark brainiest
Answer:
p ≥ 1,000,000,000
Step-by-step explanation:
since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.
Please help me do this question
Step-by-step explanation:
We need to break up the given expression into two separate fractions so that when they are added together, we will get the original expression.
Note that the denominator is made up of two factors, [tex](2x - 1)[/tex] and [tex](x^2 + 1).[/tex] But note that the 2nd factor is a 2nd order polynomial so as a rule, the numerator of the fraction containing this factor must be an (n - 1)-order polynomial, where n is the order. With that in mind, we can write the general form of the partial fractions as follows:
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{Ax + B}{x^2 + 1} + \dfrac{C}{2x - 1}[/tex]
[tex]\:\:\:\:=\dfrac{2Ax^2 + Bx - Ax - B + Cx^2 + C}{(2x - 1)(x^2 + 1)}[/tex]
Here, we combined the two fractions to form the equation above. Next, we compare the numerators on either side. Note that we satisfy the equality if we impose the following conditions:
[tex]2A + C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(1)[/tex]
[tex]2B - \:A = 1\:\:\:\:\:\:\:\:\:\:\:\:\:\:(2)[/tex]
[tex]-B + C = 7\:\:\:\:\:\:\:\:\:\:\:\:\:\:(3)[/tex]
To find the values of the constants A, B and C, we need to solve this system of equations. We start by multiplying Eqn(3) by 2 and then adding it to Eqn(2) to get
[tex]-A + 2C = 15\:\:\:\:\:\:\:\:\:\:\:\:\:\:(4)[/tex]
Then, multiply Eqn(1) by -2 to get
[tex]-4A - 2C = 0\:\:\:\:\:\:\:\:\:\:\:\:\:\:(5)[/tex]
Add Eqn(4) to Eqn(5) and we will get
[tex]-5A = 15 \Rightarrow A = -3[/tex]
Now that we know the value of A, we can use this in Eqn(2) to get
[tex]2B - (-3) = 1 \Rightarrow B = -1[/tex]
Next, to solve for C, we use the value of A in Eqn(1) to get
[tex]2(-3) + C = 0 \Rightarrow C = 6[/tex]
Therefore, the given expression can be written as
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]
As a check, let's combine the two fractions together:
[tex]\dfrac{x + 7}{(2x - 1)(x^2 + 1)} = \dfrac{6}{2x - 1} + \left(\dfrac{-3x - 1}{x^2 + 1}\right)[/tex]
[tex]= \dfrac{6x^2 + 6 - 6x^2 - 2x + 3x + 1}{(2x - 1)(x^2 + 1)}[/tex]
[tex]= \dfrac{x + 7}{(2x - 1)(x^2 + 1)}[/tex]
As expected, we got the original expression.
A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch
Answer:
we need 6 cups of cranberry juice for 12 gallons of punch
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
What are 5 rules to follow in a science lab?
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
y/x dy/dx=(1+x^2)^-1/2(1+y^2)^1/2
Answer:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
Step-by-step explanation:
This is separable.
Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:
y/(1+y)^(1/2)=(1+x)^(-1/2) x dx
Using law of exponents to get rid of negative exponent by finding reciprocal:
y/(1+y)^(1/2)=x/(1+x)^(1/2) dx
Let u=(1+y)^(1/2).
Then u^2=1+y.
Differentiate: 2 u du=dy
[Let v=(1+x)^(1/2).]
Plug in our substitution:
(u^2-1) 2u du/u=(v^2-1) 2v dv/v
Simplify:
(u^2-1) 2 du=(v^2-1) 2 dv
Integrate both sides:
(u^3/3-u) 2+L=(v^3/3-v) 2+K
Divide both sides by 2:
u^3/3-u +L/2=v^3/3-v+K/2
K/2-L/2 is just a constant value C:
u^3/3-u=v^3/3-v+C
Use substitution again to put back in terms of x and y:
((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C
Simplify the exponent part a bit:
(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C
I don't like the division by 3 so multiply both sides by 3:
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C
3C is still just an unknown constant, c.
(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c
PLEASE HELP ME
It snowed 2/3 of a foot in January and 1/2 of a foot in February. How much more did it snow in January than in February?
Answer:
Step-by-step explanation:
2/3 - 1/2 ?=?
4/6 - 3/6 = 1/6 ft more
2/3x + 7 = -1/5x + 3
if there is any doubt leave a comment
Help help help help help help
Answer:
70.2
Step-by-step explanation:
28.08 / 0.4 = 70.2
What are the solutions to the quadratic function. f(x) = x^2+4x-12
Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
a. How high above the water is the springboard? Explain how you know.
Answer:
Step-by-step explanation:
a) The height of the springboard above the water should be h(0) : Read, the height at t = 0
h(0) = -5(0) + 10(0) + 3
h(0) = 0 + 0 + 3
h(0) = 3
a) 3 meters
b) The time it takes the diver to hit water should be, the positive 0 solution for t. Remember, in a quadratic equation, there are two values for t where a parabola crosses the horizontal axis, which in this case would be t. Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac) / 2a
Substitute t for x, and use the coefficients for a, b, c:
t = (-10 ± √((102 - 4(-5)(3)))/2(-5)
t = (-10 ±√(100 + 60))/-10
t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:
t = (-10 ±√(10*16))/-10
t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:
t = -2(5 ± 2√10)/-10
t = (5 ± 2√10)/5
Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):
t ≈ 2.265
b) approx. 2.265 seconds for diver to hit water.
c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).
-5tt + 10t + 3 = 3
-5t2 + 10t = 0 ; factor out t
t(-5t + 10) = 0
We know t = 0:
We also know that -5t + 10 = 0
-5t = -10
t = 2
c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.
d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).
h = -10/2(-5)
h = -10/-10
h = 1
h(1) = -5(1)2 + 10(1) + 3
h(1) = -5 + 10 + 3
h(1) = 8
d) At t = 1 second, diver will have reached peak of dive.
e) At t = 1 second, diver will have reached a maximum height of 8 meters.
Help please please need quick
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation: