Answer:
[tex]f(x) = \frac{2x}{2x + 3}[/tex]
Step-by-step explanation:
Given
[tex]h(x) = \frac{2x + 3}{x}[/tex]
[tex]g(x) = \frac{2}{x}[/tex]
[tex]g(f(x)) = h(x)[/tex]
Required
Find f(x)
[tex]g(x) = \frac{2}{x}[/tex]
Substitute x for f(x)
[tex]g(f(x)) = \frac{2}{f(x)}[/tex]
Recall that
[tex]g(f(x)) = h(x)[/tex]
This gives
[tex]\frac{2}{f(x)} = \frac{2x + 3}{x}[/tex]
Cross Multiply
[tex]f(x) * (2x + 3) = 2 * x[/tex]
[tex]f(x) * (2x + 3) = 2 x[/tex]
Make f(x) the subject of formula
[tex]f(x) = \frac{2x}{2x + 3}[/tex]
Answer:
x/x+3
Step-by-step explanation:
Which algebraic expression has a term with a coefficient of 3?
A. -2y + 5 + 3
B. 5y - 7
C. 3(y - 6)
O D. 3y+1
SUBMIT
Answer:
D. 3y+1
Step-by-step explanation:
The coefficient is the number in front of the variable
3y has a coefficient of 3
3 ( y-6) has a factor of 3 since it is multiplied by the other term ( y-6)
g(x) = -6x + 5 and h(x) = -9x - 11, find (gºh)(x).
Answer:
g(h(x)) = 54x + 71
Step-by-step explanation:
Step 1: Define
g(x) = -6x + 5
h(x) = -9x - 11
Step 2: Find g(h(x))
g(h(x)) = -6(-9x - 11) + 5
g(h(x)) = 54x + 66 + 5
g(h(x)) = 54x + 71
plz help due toomarow
Answer:
Given: Surface Area = Volume
2(lb + bh + hl) = lbh
2(33 + 3x + 11x) = 33x
66 + 6x + 22x = 33x
66 + 28x = 33x
66 = 5x
x = 66/5
x = 13.2 inches
Which of the following equations is equivalent to 7 = 2y + 9? a.) -3 = 2y + 1 b.) 8 = 9y - 1 c.) -2 = y – 1 d.) -4 = 2y + 6
The equation 7 = 2y + 9 is equivalent to -3 = 2y + 1 and -2 = y – 1 option (a) and (c) are correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that equation:
7 = 2y + 9
After simplification:
2y = 7 - 9
2y = -2
y = -1
a.) -3 = 2y + 1
After simplification:
2y = -3 - 1
2y = -4
y = -1
b.) 8 = 9y - 1
After simplification:
9y = 1 + 8
9y = 9
y = 1
c.) -2 = y – 1
After simplification:
y = -2 + 1
y = -1
d.) -4 = 2y + 6
After simplification:
2y = -4 - 6
2y = -10
y = -5
Thus, the equation 7 = 2y + 9 is equivalent to -3 = 2y + 1 and -2 = y – 1 option (a) and (c) are correct.
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Can someone answer this? Fast
Answer:
[tex]\frac{6}{10}[/tex]
Step-by-step explanation:÷
convert 0.7 to a fraction so [tex]\frac{7}{10}[/tex]
and convert the mixed number to a fraction [tex]\frac{7}{6\\}[/tex]
now divide them
[tex]\frac{7}{10}[/tex] ÷ [tex]\frac{7}{6\\}[/tex]
[tex]\frac{7}{10}[/tex] x [tex]\frac{6}{7}[/tex]
so 7 and 7 cancel out so 1 over 10 and 6 over 1 now multiply and you get
6 over 10
:)
The cost for copying a document is a function of the number of pages in the document. In this situation, what is the dependent variable?
Answer:
the cost is the dependent variable
Step-by-step explanation:
The independent variable is the number of pages copied
The cost depends on the number of pages, so the cost is the dependent variable
Solve the equation |-2y+5|=2|3y-1|
One quarter has a mass of 5.67 grams. Which is the mass of two rolls of quarters each containing 40 quarters? how much is it?
Answer:
453.6
Step-by-step explanation:
226.8 x 2 = 453.6
The mass of two rolls of quarters is 453.6 grams.
It is required to find the mass of two rolls of quarters.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
One quarter has a mass of 5.67 grams
mass of each quarter=40 quarters
The mass of 80 quarters will be 80 times the mass of 1 quarter:
80 × 5.67 g = 453.6 g
Hence, the mass of two rolls of quarters is 453.6 grams.
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solve the following system by elimination x - 4y= 2 and 4x - 16y = 8
Answer:
0=0
or as separate equations:
y=1/2
X=4y+2
Explanation:
If we solve your system by elimination:
x−4y=2;4x−16y=8 -->
Multiply the first equation by -4,and multiply the second equation by 1.
−4(x−4y=2)
1(4x−16y=8)
Becomes:
−4x+16y=−8
4x−16y=8
Add these equations to eliminate x:
0=0
The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the rectangle
Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet
At Al's Pizza, 57% of the orders included pepperoni pizza. At World's Best Pizza, 11 out of 19 orders included pepperoni pizza. Convert 11/19 to a percent and state at which restaurant did pepperoni pizzas make up a greater percentage of the pizzas sold?
100-57=47% at Als pizza
11/19*100=57.9% at wold best
Therefore world best make greater %
Pepperoni pizzas make up a greater percentage of the pizzas sold 57.9 %.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that 57% of the orders included pepperoni pizza. The percentage of other pizzas is,
100-57 %=47%
If 11 out of 19 orders included pepperoni pizza the percentage of the pepperoni pizza is,
= (11/19) × 100
= 57.9 %
Thus, pepperoni pizzas make up a greater percentage of the pizzas sold 57.9 %.
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J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. Let X be equal to the number of problems with a three-year-old Ford, and Y be equal to the number of problems with a three-year-old Toyota. If you purchased a Ford in the 2017 model year, what is the probability that in the past 12 months the car had a) Can X be distributed as a Poisson random variable? Justify your answer. b) zero problems? c) two or fewer problems? If you purchased a Toyota in the 2017 model year, what is the probability that in the past 12 months the car had d) zero problems? e) two or fewer problems? f) Compare your answers in (d) and (e) to those for the Ford in (b) and (c).
Answer:
Follows are the solution to this question:
Step-by-step explanation:
The Ford car has an issue rate of 1.27.
That means that [tex]\lambda = 1.27[/tex]
Here, [tex]X \sim poisson (\lambda = 1.27)[/tex]
In option (A) :
To make a random variable X a Poisson variable, Parameter:
[tex]\to \lambda \leq 0 .[/tex]
The likelihood of success decreases with increased test numbers.
Mathematics, as [tex]n \longrightarrow \infty, \ \ \ and \ \ \p \longrightarrow 0[/tex].
In option (B) :
You must find it: [tex]P(X =0)[/tex]
[tex]\to P(X=0) = \frac{e^{-\lambda}\cdot \lambda^{0} }{0!} \\\\\to \lambda= 1.27 \\\\=e^{-1.27} \\\\= 0.280832[/tex]
In Option (C):
You must find it: [tex]P( X \leq 2) \\[/tex]
[tex]\to P( X \leq 2) = P(X=0) +P(X=1)+P(X=2) \\\\= \sum_{x= 0}^{2} P(X=x) \\\\= \sum_{x= 0}^{2} \frac{e^{- \lambda} \lambda^{x} }{x!} \\\\= e^{-1.27}\sum_{x= 0}^{2} \frac{ 1.27^{x} }{x!} \\\\ = 0.863964[/tex]
In Option (d):
Its first rating is essential because failures in production could be detected but before the total product becomes defective, this can be reduced.
In Option (e) :
The Toyata car has an issue rate of 1.12
That means that [tex]\lambda = 1.12[/tex]
Here, [tex]Y \sim poisson ( \lambda= 1.12)[/tex]
In Option (f):
You must find it: [tex]P(Y=0)[/tex]
[tex]\to P(Y=0)= \frac{e^{- \lambda } \lambda^{0}}{0!} \\\\\to \lambda = 1.12 \\\\=e^{-1.12}\\\\= 0.32628 \\[/tex]
You must find it: [tex]P(X \leq 2)[/tex]
[tex]\to P( X \leq 2) = P(Y=0) +P(Y=1)+P(Y=2) \\\\= \sum_{x= 0}^{2} P(Y=y) \\\\= \sum_{x= 0}^{2} \frac{e^{- \lambda} \lambda^{y} }{y!} \\\\= e^{-1.12}\sum_{x= 0}^{2} \frac{ 1.27^{y} }{y!} \\\\= 0.896356[/tex]
Comparing [a], [b], for the ford car and [b] and [c] for Toyot effectiveness
Car, its probability that less faults with Toyota car are strong, that's why it's better
BRAINLIEST +15 POINTS UP FOR GRABS!!!
Pick all line pairs that intersect each other.
1. Line AB and Line CD
2. Line CD and Line BE
3. Line BE and Line AB
4. No two lines shown intersect each other.
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER (STEP-BY-STEP APPRECIATED)!
Answer:
Line BE and Line AB
Step-by-step explanation:
On the graph you can see that these two lines cross each other.
. Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and
he packages 20 cookies together for a low price. His baker realized they sold the same amount
of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins
that were sole yesterday?
Answer:
60 muffins
Step-by-step explanation:
Muffins = 6 per package
Cookies = 20 per package
His Baker realized they sold the same amount of muffins and cookies yesterday
What is the minimum amount of muffins that were sold yesterday?
To find the minimum amount of muffins sold, find the lowest common multiple of 6 muffins per package and 20 cookies per package
6 muffins per package = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
20 cookies per package = 40, 60, 80, 100, 120
The lowest common multiple of of 6 muffins per package and 20 cookies per package is 60.
Therefore, the minimum amount of muffins sold yesterday was 60 muffins.
7.064 and expanded form
Answer:
seven and sixty-four thousandths
Step-by-step explanation:
in factors it would be
7 x 1
+ 0 x 0.1
+ 6 x 0.01
+ 4 x 0.001
Find the Range of the function.
y = 2x + 4 Domain: 0, 1, 2,
Answer:
y= 2x + 4
x = 4 + 2
x = 6
Step-by-step explanation:
is it helpful please tell in comments
6.solve an inequality that represents the description and then solve
Toni can carry up to 18 lb in her backpack.
Her lunch weighs 1 lb, her gym clothes weigh
2 lb, and her books (b) weigh 3 lb each. How
many books can she carry in her backpack?
Answer:
nothing
Step-by-step explanation:
On a number line, between which two consecutive whole numbers would the square root of 80 be located? A 7 and 8 B 10 and 11 C 9 and 10 D 8 and 9
Answer:
D. between 8 and 9
Step-by-step explanation:
8*8= 64 9*9=81
80 is between 64 and 81.
If f(x) = 9+ x 2
Find f(9)
Helpppp
Answer:
f(9) = 90
Step-by-step explanation:
f(x) = 9+ x^2
Let x = 9
f(9) = 9+ 9^2
= 9 + 81
= 90
Answer:
f(9) =90
Step-by-step explanation:
[tex]f(x) =9+x^2\\\\f(9)=?[/tex]
Substitute ; x = 9 into the given function
[tex]f(9) = 9+(9)^2\\\\f(9) = 9+81\\\\f(9) = 90[/tex]
What is the first step when simplifying 3 + 8 / 2
6th grade math help please
Answer:
Math tells me 8,302/12=691.833...
Step-by-step explanation:
Write the quadratic function in standard form. f(x) = 3x2 − x + 1
Answer:
It is already in standard form.
Step-by-step explanation:
Vertex Form: f(x) = a(bx - h)² + k
Standard Form: f(x) = ax² + bx + c
}Which number is larger: -2 or -5?
Answer:
-2 is larger, -2>-5
Need help please. In the number 4,001,982.57........ .. .What digit in the hundredths place.
Answer:
it would be what ever number is to the right of 7 but its just a . for me
Step-by-step explanation:
The angle measures of a figure Response area stay the same after a translation, reflection, or rotation.
Write the expression: 370 and 246 and then divide by 5/8
370*246/ 5/8
Does it need to be solved too?
Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words per minute and a standard deviation equal to 220 words per minute. Based on this information, what is the probability of a student reading at more than 1400 words per minute after finishing the course
Answer:
0.020405
Step-by-step explanation:
We solve this question, using z score formula.
z-score formula =
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the above question:
x = 1400, μ = 950, σ = 220
z = 1400 - 950/220
z = 2.04545
Determining the probability from Z-Table:
P(z = 2.04545) = P(x<1400) = 0.97959
P(x>1400) = 1 - P(x<1400)
= 1 - 0.97959
= 0.020405
Therefore, the probability of a student reading at more than 1400 words per minute after finishing the course is 0.020405
A local company makes cement posts in the shape of the following three-dimensional composite. The cone and cylinder both have the same radius, while the height of the cylinder is 3 times the height of the cone. Which equation can be used to find the total volume of the cement post?
Answer:
Hi, the answer is B. V=10/3pir^2h.
Step-by-step explanation:
Answer:
The answer you selected is right! The answer is indeed 10/3 pi r^2 h :)
Step-by-step explanation:
Bright Thinker approved
what is the difference between 20 and -10?
Answer:
30 is the difference
Step-by-ste30p explanation:
Evaluate 4 + 6(a) when a = 2.
Answer:
16
Step-by-step explanation:
Since a = 2, we can plug in 2 for a.
4 + 6(2)
4 + 12
16
