Step-by-step explanation:
Let f(x)=y
y=2x/X-5
y(x-5)=2x
xy-5y=2x
x(y-2)=5y
x=5y/y-2
Apply x=5y/y-2, on f(x)
f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]
=(10y/y-2)/[(5y-5y+10)/y-2]
=10y/10
=y
So f^-1(x)=5y/y-2
5.3 lesson 14 problem set answer
If five times a whole number increased by 3 is less than 13, then find the solution set.
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix
Answer:
3.75 of blue mixed with 12.5 of white is the correct answer
Step-by-step explanation:
We know the blue and white paints are a 1.5 : 5 ratio, and if we have a total of 16.25 by 1.5 by 5.
1.5 * 2.5 = 3.75
------------------------
5 * 2.5 = 12.5
SO blue is 3.75 and white is 12.5
Answer:
blue is 3.75 and white is 12.5
Step-by-step explanation:
What is the sum of the 12th square number and the 10th square number?
Answer:
12^2 is 144 and 10^2 is 100 :)
Step-by-step explanation:
12 * 12 = 144
10 * 10 = 100
The sum of the 12th square number and the 10th square number is 244. This problem is based on the principle of addition.
The principle of addition states that when two numbers are added together, their sum is a unique number which is not necessarily be divisible by either the numbers or their factors. The addition is inverse operation of the subtraction.
The square of 12th number is 12² = 12 × 12 = 144.
The square of 10th number is 10² = 10 × 10 = 100.
The sum of both numbers = 144 + 100 = 244.
Hence, the answer to the given problem is 244.
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Veronica says that the expression
7(5x + 2) is equivalent to the expression
12x + 9. Is Veronica correct?
What is the equation of the line that passes through the point (-3,2) and has an
undefined slope?
help me plsssssssssssssssssssss?
Answer:4. Liters 5. Milliliter 6. Milliliters 7. Liters
8. Liters 9. Liters 10. Liters 11. Milliliters
Step-by-step explanation:
Answer:
Sink: liters Coffee: milliliters Bottle: milliliters blender: liters
Step-by-step explanation:
Evaluate f(a+2)for f(x)=x^2-9
Answer:
a^2 + 4a -5
Step-by-step explanation:
(a+2)^2-9
((a+2)^2) - (9)
a^2+4a+4-9
a^2 + 4a -5
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip for the day. What is the greatest possible number of stops she made at traffic lights?
A. 3
B. 4
C. 9
D. 5
Answer:
Brain
Step-by-step explanation:
Brain Brain Brain Brain Brain Brain
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
HELP QUICK PLEASEEEEEEE
[tex]y-5\geq -7[/tex]
Two playful kittens working together can unwind all the balls of yarn in a basket 9
minutes faster than if the first kitten is working alone, and 4 minutes faster than if the
second kitten is working alone. How long does it take each kitten to unwind all the
balls of yarn alone?
Answer:
The time it takes the first kitten to unwind the balls of yarn alone is 15 minutes
The time it takes the second kitten to unwind the balls of yarn alone is 10 minutes
Step-by-step explanation:
The time it takes the two kitten to unwind the balls of yarn = 9 minutes faster than the first kitten working alone
The time it takes the two kitten to unwind the balls of yarn = 4 minutes faster than the second kitten working alone
Let 'x' represent the time it takes the first kitten to unwind the balls of yarn alone, let 'y' represent the time it takes the second kitten to unwind the balls of yarn alone, and let 't' represent the time it takes the two kitten to unwind the balls of yarn we have;
x = t + 9
y = t + 4
The rate of working, per ball of yarn, of the first kitten = 1/x = 1/(t + 9)
The rate of working, per ball of yarn, of the second kitten = 1/y = 1/(t + 4)
The amount of work each kitten does in the time 't', added together to unwind 1 ball of yarn is given as follows;
t/(t + 9) + t/(t + 4) = 1
(t·(t +4) + t·(t + 9))/(t + 4)×(t + 9) = 1
Using a graphing calculator, we have;
(2·t²+13·t)/(t² + 13·t + 36) = 1
∴ (2·t² + 13·t) = (t² + 13·t + 36)
(2·t² + 13·t) - (t² + 13·t + 36) = 0
t² - 36 = 0
t = √36 = 6
t = 6
x = t + 9 = 6 + 9 = 15
The time it takes the first kitten to unwind the balls of yarn alone, x = 15 minutes
y = t + 4 = 6 + 4 = 10
The time it takes the second kitten to unwind the balls of yarn alone, y = 10 minutes
Answer:
15 and 10 are correct
Step-by-step explanation:
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?
YOU GET 100 POINTS!!!! Select the correct graph.
Based on the end behaviors, which graph is the graph of f(x) = -2x4 − 4x3 + x2 + x + 3?
Given:
The function is
[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]
To find:
The graph of the function by using the end behaviors.
Solution:
We have,
[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]
The degree of the polynomial is 4 which is even and the leading coefficient is -2, which is negative. So,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to -\infty\text{ as }x\to \infty[/tex]
It means, the graph of the function approaches to negative infinity on the both ends.
Therefore, the correct option is C.
3+3 what is it i need help please
The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.
Answer:
The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Step-by-step explanation: i got it right on the test
A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.
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what does this mean
Answer:
it means to add all of the numbers then divide by how many there are
so, 3+3+5+5+5+7+7+8+15+15=73
73/10=7.3
hope this helped!!
helllllllppppp plzzzz
please help!!! i'll mark you brainliest
20 points (maths)
Answer:
25,0000000000000pmc squared
Step-by-step explanation:
because it's math.
PLEASE HELP! I REALLY NEED THESE ANSWERS!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).
a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum
Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation:
If f(x) = 2x + 1 then f(3)=
Answer:
f(3)=7
Step-by-step explanation:
just plug in the number
f(3)=2×3+1
=7
Help please!!!!!!!!!!!!!
Answer:
D) 12 feet
Step-by-step explanation:
The formula for area of a rectangle is length x width. We have this information: length x 7 = 84. To solve for this, divide 7 from both sides to get: length = 12 feet.
Hope it helps!
Answer:
12 ft
Step-by-step explanation:
L = area / width
L = 84 / 7
L = 12
16 1/4 divided by 3.25
Someone pls help
Answer:
20
Step-by-step explanation:
16 1/4 ÷ 3.25
16×4=64+1=65
65/3.25=20
Answer:
The answer is 5.
Step-by-step explanation:
you do this by converting the decimal 3.25 into a fraction. This would equal 3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.
Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined area A of the picture and the frame?
A. A(x)=x^2+20x+96
B. A(x)=x^2+40x+96
C. A(x)=4x^2+20x+96
D. A(x)=4x^2+40x+96
Answer:
Step-by-step explanation:
Total dimensions = (12+2x) inches by (8+2x) inches
A = (12+2x)(8+2x) = 4x² + 40x + 96
How do you know when you have a difference of perfect squares?
In general, a variable to any even power is a perfect square.
So for example, x² is a perfect square and so is y¹⁴.
A common made by students is not in factoring the difference of two squares, but just failing to recognise that the difference of two squares exist.
It will also help to review your perfect squares
for the numbers between 1 and 16.
Lousina has 4 yards of fabric. she uses 2/5 yard of fabric to make a doll dress. How many doll dresses could Lousina make with the fabric?
Answer:
10 doll dresses
Step-by-step explanation:
Number of doll dresses = Length of fabric ÷ length of yard used for one doll
= 4 ÷ (2/5)
[tex]= 4 * \frac{5}{2}\\\\= 2 * 5\\= 10[/tex]
Question 1
x2+ 1 = 9
Question 1 options:
x = 16
x = 20
x = 4
x = 5
Answer:
16 es la respuestas y ahora es asi
Answer:
X=4
Step-by-step explanation:
2x + 1 = 9
2x=9-1
2x=8
X=4
What percentage of the flower in the garden are white?
A 20%
B 40%
C 60%
D 90%
Answer:
b
Step-by-step explanation:
The percentage of purple flowers and white flowers produced in the F2 generation will be 75% and 25% respectively.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
F2 generation can be defined as the filial generation that arises from the interbreeding between the offspring of F1 generation. F1 generation is produced when two parents are crossed with each other. And this F1 generation when inter-bred fives rise to F2 generation.
Since the F1 generation consisted of offspring with genotype Pp, the the self cross (Pp × Pp) will produce the F2 generation with offspring PP, Pp, Pp and pp. As a result, the percentage of purple and white flowers will be 75% and 25% respectively.
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The given question is incomplete, the complete question is:
If two homozygous parents with genotype PP and pp are crossed, the F1 generation contains the genotype Pp. If the offspring of F1 generation is self-crossed, what must be the percentage of purple flowers and white flowers in the F2 generation?
f m<1 = 2x + 3 and the m<4 = 3x + 2, then find the m<3.
Answer:
https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation: