Given that f(x) = x ^ 2 + 8x + 15 and g(x) = x + 5 find f(x) / (g(x)) and express the result in standard form .
simply divide f(x) by g(x) ,,then write it in the form
f(x)=g(x)×q(x)+r(x)
where r is the remainder and q(x) is the quotient
on dividing we will get
q(x)=(x+3)
r(x)=0
this shows that g(x) is the factor of f(x)
now we can write
f(x)=(x+3)(x+5)+0
this will be the required answer
hope it helps you
What is B^2+8b+7??
Can someone explain it step by step please?
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
How many times can a paper be folded to reach the moon
Answer:
42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.
Step-by-step explanation:
Write a quadratic equation with 3/2 and 1/4 as its roots. Write the equation in the form ax2+bx+c=0, where a, b, and c are integers. PLEASE HELP AND SHOW ALL YOUR WORK ILL MARK BRAINLIEST 30 points
Step-by-step explanation:
We have the roots 1/2 and 4/3 and we need to write a quadratic equation of the form a x^{2} +bx+cax
2
+bx+c using those roots. Since we know that 1/2 and 4/3 are roots of our quadratic, we can equate each root to xx and factor backwards:
x= \frac{1}{2}x=
2
1
and x= \frac{4}{3}x=
3
4
2x=12x=1 and 3x=43x=4
2x-1=02x−1=0 and 3x-4=03x−4=0
Now we can multiply the left sides of our equations to get our quadratic:
(2x-1)(3x-4)=6 x^{2} -8x-3x+4=6 x^{2} -11x+4(2x−1)(3x−4)=6x
2
−8x−3x+4=6x
2
−11x+4
W can conclude that the quadratic equation with roots 1/2 and 4/3 is 6x^2-11x+46x
2
−11x+4
F(x)=2x^2+7 what is the value f(-2)
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation:
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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Express your answer as a polynomial in standard form.
f(x) = -2 +6
g(x) = 2x2 + x + 2
Find: (fog)(2)
Answer:
\((f\circ g)(x)=-2x^2-2x+4\)
Step-by-step explanation:
So we have the two function:
\(f(x)=-x+6\text{ and } g(x)=2x^2+x+2\)
And we want to find:
\((f\circ g)(x)\)
This is the same as:
\(=f(g(x))\)
So, substitute g(x) into f(x):
\(f(g(x))=-(g(x))+6\)
Substitute:
\(f(g(x))=-(2x^2+x+2)+6\)
Distribute:
\(f(g(x))=-2x^2-x-2+6\)
Combine like terms:
\(f(g(x))=-2x^2-2x+4\)
So:
\((f\circ g)(x)=-2x^2-2x+4\)
And we're done!
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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NEED HELP NOW PLZZZZZZ HELP
Find the measure of each angle of the quadrilateral.
all work should be in the picture, lmk if theres anything confusing
Work out the lenght off x
Using the Pythagorean theorem, the length of the side x is √147.
What is the Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.So, the formula of the Pythagorean theorem:
H² = l² + w², where H is the hypotenuse.Now, substitute the values and calculate as follows:
14² = 7² + x²x² = 14² - 7²x² = 196 - 49x² = 147x = √147Therefore, using the Pythagorean theorem, the length of the side x is √147.
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What is the product of 2.5 x 4.3?
Answer:
10.75
Step-by-step explanation:
2.5 x 4.3 = 10.75
Answer:
\({ \rm{2.5 \times 4.3 = 10.75}} \)
Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
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What is the Recursive relation of 1,1,5,17,71,247…
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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Reduce this fraction: 5/25x
Answer:
1/5x
Step-by-step explanation:
1/5x
c. two hundred thirty-one and five tenths - in decimal standard form
Answer:
231.5
five tenths = 0.5
find the difference of 2-(-2)
Answer:
2-(-2)= 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Step 1: Write out your equation
2-(-2)
Step 2: Simplify
Two positives make a negative so this makes our equation
2+2
Step 3: Solve
2+2=4
Hence, the correct answer is 4.
f is a trigonometric function of the form
f(x) = a cos(bx + c) + d.
Below is the graph of f(a). The function has a maximum
point at (-2, -3) and a minimum point at (–2.5, -9).
Find a formula for f(x). Give an exact expression.
f(x) =
Answer:
the answer of this question is -5
Step-by-step explanation:
-2-3= -5
The function is f(x) = 3cos(2πx)—6 if the function has a maximum
point at (-2, -3) and a minimum point at (–2.5, -9).
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a function:
f(x) = a cos(bx + c) + d
Here a is the amplitude:
Midline line y = -6
a = |-6-(-3)| = 3
d = -6 (midline)
Difference = |-3 + 2| = 1
b = 2π/1 = 2π
By plugging points in the equation, we get
c = 0
The equation become:
\(\rm y\ =\ 3\cos\left(2\pi x)-6\)
Thus, the function is f(x) = 3cos(2πx)—6 if the function has a maximum
point at (-2, -3) and a minimum point at (–2.5, -9).
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PLEAZE THIS NEEDS TO BE QUICK
This is about scatter plots and association i just need number 1
The form of association that would be found in the variables would be:
Positive association No association Negative association How to find the association ?As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.
The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.
As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.
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find the volume of the solid generated by revolving the region bounded by the parabola y=-(x^2)/9 and the lines y=-1 about the following lines a. the line y=-1 b. the line y=-2 c. the line y=1
The volume of the solid generated by revolving about the line y=-1 is 324π cubic units and the volume of the solid generated by revolving about the line y=-2 is 216π cubic units.
To find the volume of the solid generated by revolving the region bounded by the parabola y=-(x^2)/9 and the lines y=-1 about a line, we can use the method of cylindrical shells.
a) The line y=-1 is the axis of revolution, so the volume of the solid generated by revolving the region about this line is:
V = ∫[(-1-(x^2)/9)^2 - (-1)^2] * 2πx dx
where the integral is taken over the interval for which the parabola y=-(x^2)/9 is above the line y=-1. So the limits of the integral are from -3 to 3, the volume is:
V = ∫[(-1-(x^2)/9)^2 - (-1)^2] * 2πx dx from -3 to 3 = 324*π cubic units
b) The line y=-2 is the axis of revolution, so the volume of the solid generated by revolving the region about this line is:
V = ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx
where the integral is taken over the interval for which the parabola y=-(x^2)/9 is above the line y=-2. So the limits of the integral are from -3 to -sqrt(92) = -3 to -3sqrt(2) and 3*sqrt(2) to 3 , the volume is:
V = ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx from -3 to -3sqrt(2) + ∫[(-2-(x^2)/9)^2 - (-2)^2] * 2πx dx from 3sqrt(2) to 3 = 216*π cubic units
c) The line y=1 is not on the same side of the parabola y=-(x^2)/9 as the region bounded by the parabola and the lines y=-1 so there is no solid generated by revolving about this line.
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Name a 2 digit odd number that is prime. Name a 2-digit odd number that is composite.
i need this quick. i wil give you brainlyEst
Answer:
13
49
Step-by-step explanation:
13 is a 2 digit odd number which is prime
49 is a 2 digit odd number which is x composite
The set of negative energy is greater than -7
Answer:
i don't have lesion kau you forever i am sorry
Step-by-step explanation:
your browser to mo Lego house of blues festival
If someone makes 13 of the 18 shots they take, what is their success percentage?
Answer:
72%
Step-by-step explanation:
13 divided by 18 is .72 so, as a percentage, this is 72%
What's 20% of 30% of 10% of 500?
Answer:
the answer is 3
Step-by-step explanation:
20% of 30% of 10% of 500 is 3
Step-by-step explanation:
Which polynomial function has zeros when ? A: B: C: D:
answer the question
A.2
B.7
C.13
D.22
Please help me I’m in desperate need.
Answer:
\(5 + (9 + b) \\ 5 + 9 + b \\ 14 + b \: answer\)
Step-by-step explanation:
please mark me brainliestAlondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?
Answer:
10 years old
Step-by-step explanation:
lets break it down:
6 more means +6
four times means *4
so if her son is x years old, she is 4x+6
since we know she's 46, we know that 4x+6=46
now we just solve the equation
4x+6=46
-6 on both sides
4x=40
/4 on both sides
x=10
A hydro tower is supported by two wires on opposite sides. On the ground, the ends of the wire are 48 m apart. One wire makes a 62° angle with the ground. The other makes a 75° angle with the ground. Draw a diagram of the situation. Then determine the height of the tower, to the nearest tenth of a metre.
Using the tangent of an angle from trigonometric ratios, the height of the tower is 45.15m
What is the height of the tower?From the diagram of the situation, we can calculate the height of the tower using trigonometric ratios.
Assuming the distance apart the two wires is taken into consideration;
We can have a right - angle triangle.
Using tangent of an angle;
tan θ = opposite / adjacent
tan 62 = x / 24
cross multiply both sides
x = 24 tan 62
x = 45.15 m
The height of the tower is 45.15m
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