Answers
Answer:
D. (4x + 1) / (x² - 5), x ≠ ±√5Step-by-step explanation:
Given:
f(x) = 4x + 1 and g(x) = x² - 5Find {f/g)(x):
(f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)Since denominator can't be zero:
x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5Correct choice is D
Related Questions
1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation?
Answers
Answer:
b,d,c
Step-by-step explanation:
y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs
For 60 creps, 15 eggs will be needed.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served
Now, for 20 creps, 5 eggs are needed.
Then for 1 crep, (5/20) eggs are needed.
For 60 creps, (5/20) x 60 = 15 eggs will be needed.
Therefore, For 60 creps, 15 eggs will be needed.
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5 div by 4=25 div by y
Answers
[tex]\dfrac 54 = \dfrac{25} y\\\\\\\implies \dfrac 14 = \dfrac 5y\\\\\implies y = 4 \times 5 =20[/tex]
calculate the length AB
Answers
Check the picture below.
Create (or find) mathematical examples of the following;
1. Equation
2. Expression
3. Slope-Intercept Form
4. Slope Formula
5. Scientific Notation
6. Point-Slope Form
Answers
Answer:
Equation
2+5=9
Other i don't know
I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?
Answers
Answer:
$14
Step-by-step explanation:
We can make an equation
30%. . . . . .X
--------- = ---------
100. . . . . . .20
Now we cross multiply
100x = 600
x = 6
Now we subtract to find how much we will take home.
20 - 6 = $14 every hour will be made
If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?
dPdt=200
Answer A: d cap p over d t is equal to 200
A
dPdt=200t
Answer B: d cap p over d t is equal to 200 t
B
dPdt=100t2
Answer C: d cap p over d t is equal to 100 t squared
C
dPdt=200P
Answer D: d cap p over d t is equal to 200 cap p
D
dPdt=100P2
Answers
Answer:
A. dP/dt = 200
The degree of the variable must be one for linear growth. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
If P(t) is the size of a population at time t.
The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as
[tex]\rm \dfrac{dP}{dt} = 200t[/tex]
In this equation, the degree of the time (t) is one.
Thus, the correct option is B.
More about the differentiation link is given below.
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Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Answers
Answer:
The ratio would be 5 to 3
Step-by-step explanation:
I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3
The ratio of grapes to cashews that she ate is 5:3.
What is ratio?A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.
Given that, Regina ate 25 grapes and 15 cashews.
We need to simplify the ratio of grapes to cashews that she ate.
The ratio = 25/15
= 5/3
Hence the ratio of grapes to cashews that she ate is 5:3.
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No links please! Which expression has the same value as
Look below
Answers
Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
Use the diagram below. What is the value of z?
(Picture included) it would mean sm if anyone could help
Answers
[tex]z = 29°[/tex]
Step-by-step explanation:
According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for [tex]\triangle{ABD},[/tex] the sum of its interior angles is
[tex]43 + 59 + x = 180[/tex]
[tex]\Rightarrow x = 78°[/tex]
But [tex]\angle{x}[/tex] is supplementary with [tex]\angle{y}[/tex] so that
[tex]x + y = 180 \Rightarrow y = 180 - 78 = 102°[/tex]
Now that we know the value of y, we apply the triangle angle sum theorem to [tex]\triangle{BDC}[/tex] and we get
[tex]49 + y + z = 180 \Rightarrow 49 + 102 + z = 180[/tex]
Solving for z, we finally get
[tex]z = 29°[/tex]
Please take a look at the picture.
Answers
Answer:
I think it is total cost
Calculate the residual based on the know information: Actual = 8.1 yds Predicted = 9.1 yds
Answers
Answer:
okkkkkkkkkkkkkkkkkkkk
Which of the following expenses would be considered a “need” instead of a “want”?
Answers
Answer:
There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.
Step-by-step explanation:
The current temperature is 10 °C. Convert this to °F.
Answers
Answer:
50 F
Step-by-step explanation:multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit
Answer:
50 °F
Step-by-step explanation:
(Temperature in °C * (9/5)) +32 is the formula to convert from Celsius to Fahrenheit
you can also use G o o g l e btw :)
if(4x + 20) , (3x+10)^ and (2x+30)^ are angles of a triangle then the value
A) 13°
B) 13 1 3 ^
C) 13 2 3 ^
D) 14°
Answers
Using angle sum property
[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]
[tex]\\ \sf\longmapsto 9x+60=180[/tex]
[tex]\\ \sf\longmapsto 9x=120[/tex]
[tex]\\ \sf\longmapsto x=13.2[/tex]
Two more than the quotient of a number and 4 equals 6
Answers
Answer:
2 + (n/4) = 6
Step-by-step explanation:
Answer:
2+(n÷4)= 6
Step-by-step explanation:
hope it helps u
plzz plzzzz plzzzz mark as brainliest
please help me with this
Answers
Answer:
∠5 is supplementary.
It forms a straight angle with ∠1.
Quotient of 0 and 15
Answers
Answer:
15Step-by-step explanation:
cause the first number is zero so the answer is 15 #happy learningHope this helped!
A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. Create a function f(x) which models the amount, in dollars, a senior citizen would pay for x pounds of bananas on a Wednesday.
Answers
Answer:
f(x)= 0.90(0.59x)
Step-by-step explanation:
The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90
Also we need to know that 0.59x means how much money per pound the bananas cost.
So when you put it together, you should get f(x)=0.90(0.59x)
Find The nth Term of this number sequence
18, 16, 14, 12
Answers
a = 18
d = 16 - 18 = -2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
50 points! Help (Vectors)
Answers
Answer:
[tex]<8,10>[/tex]
Step-by-step explanation:
Answer:
Blue (8,10)
Step-by-step explanation:
2(4)=8
2(5)=10
i dont know this question i will give you brainly
Answers
Answer:
11z/4+3/10
Step-by-step explanation:
Distribute first then combine like terms.
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?
Enter your answer, as a mixed number in simplest form, by filling in the boxes.
Answers
Answer: 1 1/2
Step-by-step explanation: I took it on k12
Answer:
The answer is 1 1/2 for K12
Consider two congruent square prisms each rectangular face of prism A has a width of 2x+3 and each rectangular face of prism B had a length of 4x+6 if each rectangular face of prism A has and area of 25x+25 what is the volume of prism B (round to the nearest whole number)
Answers
Answer:
Step-by-step explanation:
prism A side area is square of side length
(2x + 3)² = 25x + 25
4x² + 12x + 9 = 25x + 25
4x² - 13x - 16 = 0
x = (13 ±√(13² - 4(4)(-16))) / (2(4))
positive answer is
x = (13 +√425)/8 which is approximately 4.20194...
so side length of B is
4((13 +√425)/8) + 6 which is approximately 22.80776...
Volume is side length cubed
V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...
V = 11,864 units³
Factor the polynomial expression x4 + x2 - 20 drag each expressions to the correct location on the factored solution
Answers
Answer:
Step-by-step explanation:
x⁴ + x² - 20
(x² + 5)(x² - 4)
(x² + 5)(x - 2)(x + 2)
The required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
Given that,
To determine the factor of the expression, x⁴ + x² - 20.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
= x⁴ + x² - 20
= x⁴ + 5x² - 4x² - 20
= x²[x² + 5] - 4 [x² + 5]
= [x² + 5][x²- 4]
Since (a² - b²) = (a + b)(a - b)
= (x² + 5)(x - 2)(x + 2)
Thus, the required factor of the given expression is given as (x² + 5)(x - 2)(x + 2).
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10% markdown of $543.20
Answers
Answer:
5.Math is a very different one that
Ok
-
The sum of 2 and x is at least - 19.
Answers
2 + x = -19 <=> x = -19 -2 = -21
Which of the following does not describe slope?
Answers
Answer:B is correct.
Step-by-step explanation:
Slope is a rate of change, so A is correct. Slope can be found on a graph by counting the vertical change (rise) over the horizontal change (run);
The rest of the answers say that slope is a constant rate of change, a proportional relationship, and a measure of change. Which are all true. The only one that doesn’t quite line up to what slope means is the first answer choice (a line joining points)
What is the cardinal number of the set S={all letters contained within the word BALLADEER}?
Answers
Answer:
6
Step-by-step explanation:
sets cannot have repeated elements. So this set only has the letters B, A, L, D, E, R which means the cardinality is 6
Find the slope of each line. PLS HELP TYSMMMM!
Answers
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
The graph of the function f(x) = (x + 2)(x + 6) is shown
below.
Which statement about the function is true?
O The function is positive for all real values of x where
x>-4.
6
14-
O The function is negative for all real values of x where
-6 < x < -2.
The function is positive for all real values of x where
x <-6 orx > -3.
O The function is negative for all real values of x where
x < -2.
24
-2
2
4
6
х
4
Answers
Answer:
The function is negative for all real values of x where
-6 < x < -2.
Step-by-step explanation:
f(x) = (x +2)(x + 6)
x + 2 = 0 or x + 6 = 0
x = -2 or x = -6
After graphing the function is negative between -6 < x < -2
The true statement about the graph is (a) The function is negative for all real values of x where -6 < x < -2.
The equation of the function is given as:
[tex]f(x) = (x + 6)(x + 2)[/tex]
From the graph, we have the following highlights
The values of the function decreases from negative infinity till x = -4The values of the function increases from x = -4The values of the function is negative for x = -6 to x = -2The above means that:
The function is negative for all real values of x where -6 < x < -2.
Hence, the true statement about the graph is (a)
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