Answer:
I believe it's (D) So I would choose that
I need help with this
The value of the function (f /g)(x) would be [tex](\frac{f}{g})(x)=x^2+6[/tex].
Option (A) is correct.
What are composite functions?
A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.'
Given:
[tex]f(x)=7x^3-5x^2+42x-30\\\\g(x)=7x-5[/tex]
Now by using the definition of composite functions we can write
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{7x^3-5x^2+42x-30}{7x-5}\\\\(\frac{f}{g})(x)=x^2+\frac{42x-30}{7x-5}\\\\(\frac{f}{g})(x)=x^2+6[/tex]
Hence, the value of the function (f - g)(x) would be [tex](\frac{f}{g})(x)=x^2+6[/tex].
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If d/dx (g(x)) = 0
then d/dx (g(x)sin(x)) = ?
Answer:
Step-by-step explanation:
If the derivative of g(x) with respect to x (denoted d/dx g(x)) is equal to 0, then the derivative of the product g(x)sin(x) with respect to x can be found using the product rule for derivatives.
The product rule states that if f(x) and g(x) are two functions, then the derivative of the product f(x)g(x) with respect to x is given by:
d/dx (f(x)g(x)) = f(x) * d/dx g(x) + g(x) * d/dx f(x)
In our case, f(x) is g(x) and g(x) is sin(x). Substituting these values into the equation above, we get:
d/dx (g(x)sin(x)) = g(x) * d/dx sin(x) + sin(x) * d/dx g(x)
Since the derivative of sin(x) with respect to x is cos(x) and the derivative of g(x) with respect to x is 0, we can simplify this expression to:
d/dx (g(x)sin(x)) = 0 * cos(x) + sin(x) * 0
Which simplifies to:
d/dx (g(x)sin(x)) = 0
Therefore, if the derivative of g(x) with respect to x is equal to 0, then the derivative of the product g(x)sin(x) with respect to x is also equal to 0.
How do you find the missing value in an isosceles triangle?
Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .
the sum of triangle is 180, sum of all the interior angles is equal to 180.
so if you know two angles then apply sum of triangles and find out the value of the third triangle.
isosceles triangle
An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.
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What is commutative associative and distributive property?
The commutative, associative, and distributive property are the properties of addition and multiplication.
Commutative Property - The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another. The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b × a.
Associative Property - It is related with the grouping of numbers. It states that the product or sum of three numbers do not change even if the grouping of numbers are changed. The associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b × c).
Distributive Property - It is related with the distribution of numbers. It states that the product of three numbers do not change even if the distribution of numbers are changed. The distributive property of multiplication states that: a × (b + c) = (a × b) + (a × c).
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find the value of x with explanation pls
When given two values in algebra, it is simple to find the third value. The x value is 5.
How to Find the Value of X?Typically, the algebraic statement should take any of the following forms: addition, subtraction, multiplication, and division. Bring the variable to the left side, then move all of the other values to the right side to determine the value of x. For the outcome, simplify the values.X's value in a multiplication operation can be found using the conventional form, which isMultiplicand Multiplier ProductAllowing Multiple to serve as xx Multiplicand Equals Product
Next, the equation to determine the value of x isX = product / multiplicand
Calculate the value of the X multiplicand 2x-4.* x = 10
Product
The x value is 5.
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how do I convert 5 rows of ribbons to inches
You may use the expression to convert the length of 5 rows of ribbons to inches: length = 5w + (5 - 1)s inches, where w is the width of the ribbons and s is the spacing between the rows.
To convert 5 rows of ribbons to inches, you need to know the width of the ribbons and the spacing between the rows.
Let's say the width of the ribbons is w inches, and the spacing between the rows is s inches. In this case, the total length of the ribbons in 5 rows would be 5w + 4s inches, since there are 5 ribbons and 4 spaces between them.
For example, if the width of the ribbons is 0.5 inches and the spacing between the rows is 0.1 inches, the total length of the ribbons in 5 rows would be :5 × 0.5 inches + 4 × 0.1 inches = 2.5 inches + 0.4 inches = 2.9 inches.
In general, to convert the length of n rows of ribbons to inches, you can use the formula: length = nw + (n - 1)s inches, where w is the width of the ribbons and s is the spacing between the rows.
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I really need help on this page, could anyone help me?
F=9/5C+32 is the required equation and Greg statement is true
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that Greg is expressing temperature in farenheit and Josh expressing it in the celsius.
C=5/9(F-32)
We need to rewrite the formula so that Josh can quicly convert the temperature that Greg describes F.
F=9/5C+32
The temperature where John leaves has 77 F.
Let us convert to celsius.
C=5/9(77-32)
C=5/9(45)
C=5(5)
C=25 degrees.
25 degress< 30 degrees.
Hence, F=9/5C+32 is the required equation and Greg statement is true.
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a sample of n = 5 scores has sx = 20 and sx2 = 120. for this sample, what is the value of ss?
For a sample population of size, n =5, sx = 20 and sx² = 120, the sum of squared deviation is 40.
Therefore, the answer is 40.
Given a sample population of 5 scores, that is n = 5.
sx = ∑x = 20
sx² = ∑x² = 120
Thus mean can be calculated by
mean, x⁻ = ∑x/ n
x⁻ = 20/ 5
x⁻ = 4
The sum of squared deviations
ss = ∑( x - x⁻)²
ss = ∑( x² -2×x×x⁻ + x⁻²)
ss = ∑x² -2×x⁻×∑x + ∑x⁻²
ss = ∑x² -2×x⁻×∑x + nx⁻²
ss = 120 - 2×4×20 + 5×4²
ss = 40
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What is the coefficient of y² in the expression 2x²y 10xy² 5y²?
The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.
What is expression?
It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.
Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.
As example 4 + 3 or 100÷4
The expression which has both variables and numbers is called algebraic expression.
As example X+6 or 25+5y
What is coefficient?In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y
but 24 is a constant number.
How can we determine the coefficient from the given expression?We are given three expressions, these are 2xA²y, 10xyA² and 5yA²
for the 1st expression, 2 is the coefficient of A²y
for the 2nd expression, 10 is the coefficient
for the last 5 is the coefficient.
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When doing long division, how many times do you repeat the process of dividing, multiplying, subtracting and bringing the next digit down?
Repeat the procedure of dividing, multiplying, subtracting, and bringing the next digit down until you have solved the division problem's quotient.
For example, consider the long-division problem:
4567 ÷ 123
In this problem, we need to repeat the process of dividing, multiplying, subtracting, and bringing the next digit down three times, since the divisor has three digits.
However, in some cases, you may need to repeat the process more or fewer times than the number of digits in the divisor.
For example, if the dividend has fewer digits than the divisor, you may need to repeat the process fewer times. Or, if you need to carry a digit over to the next step, you may need to repeat the process more times.
Thus, in general, you should repeat the process of dividing, multiplying, subtracting, and bringing the next digit down until you have found the quotient of the division problem. This will typically be the number of digits in the divisor, minus one, but it may be more or fewer in some cases.
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[tex]\sqrt{x} 4=x-3[/tex]
The simplification of the given expression is x² - x + 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is √x⁴ = x - 3. The expression will be simplified as,
√x⁴ = x - 3
Solve the radical term first and simplify the expression further,
x² = x - 3
x² - x + 3 = 0
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What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?
The coefficient of x² in (3x² – 5)( 4 +4x²) is -8.
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6.
First, let's multiply the terms in the given expression by opening the brackets.
⇒ (3x² – 5)( 4 +4x²)
Now, further multiplying we would get,
⇒ 3x²(4 + 4x²) -5(4 + 4x²)
⇒ 12x² +12x⁴-20-20x²
⇒ 12x⁴ -8x²-20
As we can see that the term that is in multiplication with x² is -8. Similarly, the term that is coefficient of x⁴ is +12.
Hence, the coefficient of x² in the equation is -8.
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ƒ(x) = − x² – 14
-
Find f(6)
Answer:
ƒ(6) = − 50
Step-by-step explanation:
ƒ(x) = − x² – 14, Find f(6)
ƒ(6) = − 6² – 14
ƒ(6) = − 36 – 14
ƒ(6) = − 50
A triangle has sides with lengths of 54 meters, 78 meters, and 90 meters. Is it a right
triangle?
The triangle with sides 54 m , 78 m and 90 m is not a right angle triangle
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ΔABC
Now , the value of the sides of the triangle is
AB = 54 m
BC = 78 m
AC = 90 m
Now , for the triangle to be right angle triangle , it should satisfy the Pythagoras Theorem
So , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substitute the values in the equation , we get
AC² = AB² + BC²
90² = 54² + 78²
8100 = 2916 + 6084
8100 ≠ 9000
Therefore , the triangle ΔABC is not a right angle triangle
Hence ,
The triangle with sides 54 m , 78 m and 90 m is not a right angle triangle
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Which is a factor of the polynomial f x )= 6x 4 21x 3 4x 2?
(x-3.5), or (x-7/2) are the factors of the polynomial, f(x) = 6x⁴ – 21x³ – 4x² + 24x – 35
Given,
The polynomial, f(x) = 6x⁴ – 21x³ – 4x² + 24x – 35
We have to find the factors of the polynomial;
Here,
This polygon's 35-factor factors, plus or minus 1, plus or minus 5, plus or minus 7, are potential zeros. Determine whether or not there is a non-zero remainder in each example using synthetic division. If none of these solutions work, try rational divisors derived from 35 and 6 such as 5/6, 7/6, 1/6 and so on.
Now,
f(x) = 6x⁴ – 21x³ – 4x² + 24x – 35
If used correctly, this method will eventually reveal one or two zeros of this poly. Of course, it would be lot simpler if you looked at the potential solutions provided to you for this issue.
I plotted this function and discovered that it crosses the x-axis at 7/2. Another root exists.
To determine whether or whether 7/2 is a root, use synth. div.
Then,
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Since there is no remainder, the polynomial has a root of 7/2 (or 3.5). Therefore, a factor is (x-3.5) or (x-7/2).
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*NEED ANSWER ASAP*
Find the slope of (-4/6) and m=3/4.
The equation of line in slope intercept form is, [tex]y=\frac{3}{4}x+9[/tex].
What is slope point form of the line?
A line's point slope form equation is y - y1 = m. (x – x1). Consequently,
y - 0 = m(x = 0), or y = mx, is the equation of a line passing through the origin with a slope of m.
Let the line passes through the point (-4, 6) and having slope 3/4.
We know that the equation of line passes through the point [tex](x_1, y_1)[/tex] and having slope m is,
[tex]y-y_1=m(x-x_1)[/tex]
Here, [tex](x_1, y_1) = (-4, 6)[/tex] and slope [tex]m = \frac{3}{4}[/tex]
Plug the values in the above equation.
⇒
[tex]y-6=\frac{3}{4}(x-(-4))\\ y - 6 = \frac{3}{4}(x + 4)\\ y-6=\frac{3}{4} x + 3\\y = \frac{3}{4}x+3+6\\ y=\frac{3}{4}x+9[/tex]
Hence, the equation of line in slope intercept form is, [tex]y=\frac{3}{4}x+9[/tex].
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How do you add in Excel?
Using AutoSum in Excel is one quick and simple method of adding numbers. Simply click in a blank cell immediately underneath a column of data. Click AutoSum > Sum next on the Formula tab.
what is sum ?Sum is the outcome of adding two or more numbers or quantities. There may be only two terms, or there may be one hundred, thousand, or a million. There are some summations that have an infinite number of terms.
here
Click AutoSum on the Home tab, choose a cell next to the numbers you wish to add, then hit Enter when you're finished.
When you choose AutoSum, Excel automatically creates a formula (using the SUM function) to add the values.
Simply click in a blank cell immediately underneath a column of data. Click AutoSum > Sum next on the Formula tab.
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Twice the price of a scooter is equal to thrice the price of a television. If the price of a scooter is 600$ more than the television, what is the cost of the television?
A. 1800$
B. 1500$
C. 1200$
D. 2400$
Answer: C. 1200$
Step-by-step explanation:
$600 times twice is $1200
Need Help With This Question
(The table represents an exponential function) ( what is the multiplicative rate of change of the function) - the question( picture below)
Answer:
A. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
⭐ What is the multiplicative rate?
The multiplicative rate is the number each consecutive y-value gets multiplied by.The multiplicative rate can only be found in exponential functions.To find the multiplicative rate of this exponential function, we need to make an equation to see what each y-value gets multiplied by to get the next y-value.
I am picking the y-values 2 and 2/5, but you can choose any two consecutive y-values.
Equation (let x= the multiplicative rate of change):
[tex]2x = \frac{2}{5}[/tex]
Solve for x:
[tex]\frac{2x}{2} = \frac{2}{5}(2)[/tex]
[tex]x = \frac{2}{10}[/tex]
Simplify:
[tex]x = \frac{1}{5}[/tex]
∴ The multiplicative rate of change of the function is 1/5.
What are the 3 steps in graphing linear inequalities in two variables?
The three steps for graphing linear inequalities are consists of solving the variables, plotting the points on graph and bound the region.
How to plot inequalities?while solving the inequalities of two variables the inequal sign are changed by equal sign for a certain time. After determining the unknown value, we plot the points on the XY axis.
why we use solid line or dashed line?while graphing the inequal variables the region that satisfy the inequality is bounded by solid line or dashed line depends on the inequal sign.
hence, we need to plot the linear inequalities on XY axis in three steps.
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the special product formula for the "square of a sum" is (a + b)2 =
The special product formula for the 'square of a sum' is
(a + b)² = a² + 2ab + b².
(a + b)² = (a +b)×(a + b)
By applying Distributive law in multiplication, we know
(a + b)² = a×(a + b) + b×(a + b)
(a + b)² = a² + ab + ba + b²
(a + b)² = a² + 2ab + b²
For example, (3 + 2)²
We know that (3 + 2)² = 5² = 25
But let us try applying the special product formula
(3 + 2)² = 3² + 2×3×2 + 2²
(3 + 2)² = 9 + 12 + 4
(3 + 2)² = 25
So we can use this formula in cases where we don't know the square of a sum. Many applications can be seen like solving quadratic equations.
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(a) how many ways can the letters of the word minutes be arranged in a row? (b) how many ways can the letters of the word minutes be arranged in a row if m and i must remain next to each other as either mi or im? .
1440 combinations ways.
We know that the total arrangements will be
6!= 720 because its a 6letter word
So if we take MI to be a one letter word
Same for IM
which will Also be 6!= 720
SO TOTAL possible combination will be 720+720= 1440
How do you find possible combinations?
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
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I need help on this please someone answer me!
So basically for the first one do 14.0%x 4.6
Item 3 Jackie bought a bottle of water and a pair of shoes for $34.40. The total for her purchase before sales tax was $32. Her receipt shows an 8% sales tax on only the shoes. Which system of equations can be used to find the price Jackie paid for the bottle of water, w, and the pair of shoes, s?
Answer:
It's A
Step-by-step explanation:
The first part is her purchase before the tax, which should be $32. The second part is her purchase after sales tax, which adds 8% to the shoes and results in the purchase being $34.40
How to find duplicate numbers in an array if it contains multiple duplicates?
The pigeonhole principle can be used to demonstrate that there must be at least one duplicate in the set nums. Each possible number that can appear in nums is a "pigeonhole" in this context, and each number within nums is a "pigeon."
Method or evidence to confirm that Nums must contain multiple duplicate number: Simple Strategy: Utilizing nested loops, it is intended to determine whether or not each element appears in the array more than once for each element.
Put it in a hash-map if it is there. Otherwise, keep looking at the other components.Duplicate data might be valuable in some situations, but it can also make your data more difficult to analyze.Find and highlight duplicate data using conditional formatting.You can then examine the duplicates and determine whether you wish to eliminate them.The duplicate data will be permanently removed when you use the Remove Duplicates functionality. It's a good practice to copy the original data to another worksheet before deleting the duplicates so you don't unintentionally lose any data.Choose the range of cells where the duplicate values should be eliminated.To remove duplicates, select Data, and then Check or uncheck the columns you want to have the duplicates removed from under Columns.Learn more about duplicate number Visit: brainly.com/question/15323323
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Ridgid motions to prove
Answer:
Sequence:
1. [tex]T__{ < 0,-5 > } (ABCDE) = (A'B'C'D'E)[/tex]
. . . . . . . . . . ⭐ please take a ruler and measure the distance from AA', . . . . . . . . BB', CC', DD', and EE', and then write that distance (it should . . . . . . . . be the same for each measurement) in place of 5 in -5. I just . . . . . . . . wrote -5 because it was my best approximation for looking at . . . . . . . . a laptop screen. ⭐
2. [tex]R__{(180,B')} (A'B'C'D'E) = (A''B''C''D''E'')[/tex]
3. [tex]r__{D''E''} (A''B''C''D''E'') = (A'''B'''C'''D'''E''')[/tex]
Step-by-step explanation:
1. [tex]T__{ < 0,-5 > } (ABCDE) = (A'B'C'D'E)[/tex] means that when you move figure ABCDE down by 5 units, it will map onto the image of A'B'C'D'E.
2. [tex]R__{(180,B')} (A'B'C'D'E) = (A''B''C''D''E'')[/tex] means that when you rotate figure A'B'C'D'E' 180 degrees counterclockwise about point B', said figure will map onto the image of A''B''C''D''E''.
3. [tex]r__{D''E''} (A''B''C''D''E'') = (A'''B'''C'''D'''E''')[/tex] means that when you reflect figure A''B''C''D''E'' across segment D''E'', said figure will map onto the image A'''B'''C'''D'''E'''.
What is the relationship between the volume of a cone and a pyramid?
The relationship between the volume of a cone and a pyramid:
the volume of cone = volume of pyramid
if and only if the pyramid has circular base and both have equal radii and vertical heights
In this question we need to find the relationship between the volume of a cone and a pyramid.
We know that a pyramid is three dimensional shape with polygon base and trigular lateral faces which meet at vertex.
The formula for the volume of pyramid is,
V = 1/3 * base area * height
As we know a cone is nothing but a pyramid with circular base.
Consider a cone with radius r and vertical height h.
The formula for the volume of cone,
V = 1/3 × π × r² × h
V = 1/3 * area of circle * height
Therefore, the volume of a cone and a pyramid with circular base are equal.
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What are the values of x 2x 2 4x 7?
The values of x for the given quadratic equation 2x² = 4x - 7
are given by:
[tex]x = \frac{2 +i\sqrt{10} }{2}[/tex]
[tex]x = \frac{2 -i\sqrt{10} }{2}[/tex]
What is the solution of a quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations.
According to the given question:
For this case we have the following quadratic equation:
2x² = 4x - 7
Rewriting the equation we have:
2x² - 4x + 7 = 0
From here, we have:
a = 2b = -4c = 7
Substituting values in the quadratic equation we have:
x = (-b ± √b² - 4ac)/2a
x = (-(-4) ± √(-4) - 4(2)(7)/2(2)
Rewriting the equation we have:
x = (4 ± √16 - 56)/4
x = (4 ± √-40)/4
x = (2 ± i√10)/2
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If the area of the circle equals 500 cm², find its circumference.
Answer:
Step-by-step explanation:
What are binomials give five examples?
"A binomial is an algebraic expression which has exactly two terms." The examples of binomials are x² + 3, x + y, x³ + 2x, 9 + 7y, xy² + xy, etc.
A polynomial is of various types like monomial, binomial, trinomial, etc.
Monomial contains only single term.
Trinomial contains exactly three terms. All the three are dissimilar.
A binomial is said to have only positive exponents and no negative exponents.
In x³ + 2x, x³ and 2x are two different terms. The variable is only x. The exponent of x³ is 1, the exponent of x is 1. The coefficient of x³ is 1, the coefficient of x is 2.
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