Answer:
[tex]\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}[/tex]
Step-by-step explanation:
[tex]f(g(x)) = | 2(x + 1)^2 + (x + 1) |[/tex]
The first option :
[tex]f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |[/tex]
[tex]f(g(x))=(|2x+1|+1)^2[/tex]
The second option :
[tex]f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |[/tex]
[tex]f(g(x))=(|2x^2 +x|+1)[/tex]
The third option :
[tex]f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2[/tex]
[tex]f(g(x))=|2(x+1)^2 +1 |[/tex]
The fourth option :
[tex]f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)[/tex]
[tex]f(g(x))= | 2(x + 1)^2 + (x + 1) |[/tex]
Answer:
D
Step-by-step explanation:
a block of glass of mass 187.5g is 5.0 cm long. 2.0 thick and 7.5 cm high. calculate the density of the glass in kgm^3
Answer:
[tex]2500 {kgm}^{3} [/tex]
Step-by-step explanation:
Density =
[tex] density = \frac{mass}{volume} [/tex]
Volume =lbh
Volume= 5x2x7.5
= 75cm^3
[tex]density( {gcm}^{3} ) = \frac{187.5}{75} \\ = 2.5 {gcm}^{3} \\ to \: change \: from \: {gcm}^{3} to \: {kgm}^{3} \\ multiply \: by \: 1000 \\ 2.5 \times 1000 \\ = 2500 {kgm}^{3} [/tex]
Two points in a rectangular coordinate system have the coordinates (5.5, 2.9) and (−3.5, 4.8), where the units are centimeters. Determine the distance between these points.
Answer:
The distance between these points is approximately is 9.198 units.
Step-by-step explanation:
Let be (5.5, 2.9) and (-3.5, 4.8) the location of the points in Cartesian plane. The straight line distance between both points ([tex]d[/tex]) is determined by the Pythagorean Theorem, which is described below:
[tex]d = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal components of each point, dimensionless.
[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical components of each point, dimensionless.
If [tex]A = (5.5, 2.9)[/tex] and [tex]B = (-3.5,4.8)[/tex], the distance between these points is:
[tex]d = \sqrt{(-3.5-5.5)^{2}+(4.8-2.9)^{2}}[/tex]
[tex]d\approx 9.198[/tex]
The distance between these points is approximately is 9.198 units.
5x-4=-3-x so ya can yall help
Step-by-step explanation:
5x-4=-3-x
5x+x=4+(-3)
6x=1
x=1/6
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{x = 0.16}}}}[/tex]Step-by-step explanation:
[tex] \sf{5x - 4 = - 3 - x}[/tex]
Move constant to R.H.S and change it's sign
Similarly, Move variable to L.H.S and change it's sign
⇒[tex] \sf{5x + x = - 3 + 4}[/tex]
Collect like terms
⇒[tex] \sf{6x = - 3 + 4}[/tex]
Calculate
⇒[tex] \sf{6x = 1}[/tex]
Divide both sides of the equation by 6
⇒[tex] \sf{ \frac{6x}{6} = \frac{1}{6} }[/tex]
Calculate
⇒[tex] \sf{x = 0.16}[/tex]
Hope I helped!
Best regards!!
3. Construct Arguments which is a better
approximation of V20, 4.5 or 4.47?
Explain.
Answer:
Step-by-step explanation:
Using the identity (x + 0.5)^2 = x(x + 1) + 0.25:
4.5^2 = 4 * 5 + 0.25 = 20.25
Also 4.45^2 = 19.8
so 4.47^2 will be closer to 20 than 4.5^2.
What is the solution to this equation?
X/5 = 15
A. x = 10
B. x = 75
C. X = 3
D. x = 20
Answer:
B. x=75
Step-by-step explanation:
First, write out the equation as you have it:
x/5=15
Then, multiply both sides of the equation by 5/1:
5/1(x/5)=15(5/1)
Your result is:
x=75
Answer:-75 on a pex quiz 1.4.3
Step-by-step explanat
f(x) = 17 - 2x
Find f(a + 7)
Answer:
-2a + 3
Step-by-step explanation:
We can substitute a + 7 for x:
f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku yang kelima adalah 56
solve : 2( 3x - 1 ) = 4( x - 1 )
Answer:
x=-1
Step-by-step explanation:
6x-2=4x-4
-4x both sides
2x-2=-4
+2 both sides
2x=-2
divide by 2
x=-1
Answer:
2(3x-1)= 4(x-1)
Open bracket
6x-1= 4x-4
Group like terms
6x-4x= -4+1
2x=-3
Divide both sides by the coefficient of x
X= -3/2
Step-by-step explanation:
4.
Write this equation in slope-intercept form (y = mx + b).
y-2=-3(x - 4)
Answer:
[tex]\huge\boxed{y=-3x+14}[/tex]
Step-by-step explanation:
[tex]y-2=-3(x-4)\\\\y-2=-3x+12\\\\y-2+2=-3x+12+2\\\\\boxed{y=-3x+14}[/tex]
First distribute the -3 through the parenthses
which gives us y - 2 = -3x + 12.
Move the number to the right side of the equation
by adding 2 to both sides to get y = -3x + 14.
Notice that the equation above is written in slope-intercept form because
the y term is isolated or by itself on the left side of the equation.
Draw the multiplication table on the P=(3,5,7,9) in module 12
Answer:
Find the attached file for the solution
Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,
When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.
Find the attached file for the solution and table.
please give an answer Rationalise the denominator and find the values of a and b. 7−4√3/7+4√3 = a + b √3
Answer:
a = 97, b = - 56
Step-by-step explanation:
Given
[tex]\frac{7-4\sqrt{3} }{7+4\sqrt{3} }[/tex]
To rationalise multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]
= [tex]\frac{(7-4\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{49-28\sqrt{3}-28\sqrt{3}-48 }{49-48}[/tex]
= [tex]\frac{97-56\sqrt{3} }{1}[/tex]
= 97 - 56[tex]\sqrt{3}[/tex]
with a = 97 and b = - 56
Answer:
a = 97, b = - 56
Step-by-step explanation:
Solve for "X"
16 = 9 + x - 3
Answer:
x = 10
Step-by-step explanation:
Step 1: Write out equation
16 = 9 + x - 3
Step 2: Combine like terms
16 = x + 6
Step 3: Subtract 6 on both sides
10 = x
Step 4: Rewrite
x = 10
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{16 = 9 + x - 3}[/tex]
Subtract 3 from
⇒[tex] \sf{16 = 6 + x}[/tex]
Swap the sides of the equation
⇒[tex] \sf{6 + x = 16}[/tex]
Move 6 to right hand side and change it's sign
⇒[tex] \sf{x = 16 - 6}[/tex]
Subtract 6 from 16
⇒[tex] \sf{x = 10}[/tex]
Hope I helped!
Best regards!!
High interest rates make it difficult for people to pay off credit card debt in a reasonable period of time. The interest I (in dollars) paid on a $10,000 debt over 3 years when the interest rate is r% can be approximated by the equation shown below.†
I
175.393
+ 0.663 = r
If the credit card interest rate is 23.6%, find the amount of interest paid during the 3 years.
Answer:
Step-by-step explanation:
We are told that the equation is for a 3 year debt, which is also the period over which the . This means that we can use the equation.
(I/175.393) + 0.663 = r
We are given r = 23.6%
Plugging this vakue in for r gives;
l/175.393 + 0.663 = 23.6
l/175.393 = 23.6 - 0.663
l/175.393 = 22.937
I = 175.393 x 22.937
I = $4022.99, which is approximately
$ 4023
PLEASE HELP!! Which equation can be used to solve 2 6 0 1 * x1 x2 = 2 -3
Answer:
Equation :
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
Step-by-step explanation:
To isolate the following matrix, we will have to divide either by matrix 1, or the co - efficient of the matrix shown below. By doing so we will have to take the inverse of the co - efficient of that same matrix on the other side. In other words,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}[/tex] - Matrix which we have to isolate,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}2&6\\ \:0&1\end{bmatrix}^{-1}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex] - Equation used to solve the matrix
Now as you can see this equation is not any of the given options. That is as we have to simplify it a bit further,
[tex]\begin{bmatrix}2&6\\ 0&1\end{bmatrix}^{-1} = \frac{1}{\det \begin{bmatrix}2&6\\ 0&1\end{bmatrix}}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \frac{1}{2}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \begin{bmatrix}\frac{1}{2}&-3\\ 0&1\end{bmatrix}[/tex]
We know that 1 / 2 can be replaced with 0.5, giving us the following equation to solve for x1 and x2,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
As you can see our solution is option d.
Answer: d
Step-by-step explanation: on edge
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)
a 1
b 4
c 5
d 25
Answer:
a) 1
Step-by-step explanation:
3(x + 1) = -2(x - 1) +6
3x + 3 = -2x + 2 + 6
3x + 3 = -2x + 8
Subtract 3 from both sides
3x + 3 -3 = -2x + 8 -3
3x = - 2x + 5
Add 2x to both sides
3x + 2x = -2x + 5 +2x
5x = 5
Divide both sides by 5
5x/5 = 5/5
x = 1
Can someone help me on Domain and Range
Answer:
Its the second option.
Step-by-step explanation:
The domain and range are just the x (domain) and y (range) values
Help fast please Mario completely covered a square floor using 98.5 ft² of hardwood without any overlap.
Which measurement is closest to the side length of this floor in feet?
9.5 ft
10 ft
25 ft
48ft
Answer: The answer is 10 ft. I took the test but it didn't explain why it was the answer.
rewrite in a slope-intercept form and graph
Answer:
[tex]y=\frac{3}{2}x+3[/tex]
Step-by-step explanation:
Take the given equation:
[tex]-3x+2y=6[/tex]
Solve for y so that the equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept. x and y are the coordinate points (x,y).
Solve for y:
Add 3x to both sides of the equation:
[tex]-3x+3x+2y=6+3x\\\\2y=3x+6[/tex]
Divide both sides of the equation by 2 to isolate y:
[tex]\frac{2y}{2}=\frac{3x+6}{2} \\\\ y=\frac{3}{2}x+3[/tex]
The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 3.
To graph, you need two points. You can use the y-intercept as one.
The y-intercept is the place where the line crosses over the y-axis, where x equals 0, so the point is (0,3).
Next, take any value for x and insert it into the equation. We'll use 2:
[tex]y=\frac{3}{2}(2)+3[/tex]
Using this, you can solve for the value of y when x is equal to 2.
Simplify:
[tex]\frac{3}{2} *\frac{2}{1}=\frac{6}{2}=3 \\\\y=3+3\\\\y=6[/tex]
So, when x=2, y is 6 (2,6).
Plot the points (0,3) and (2,6)
Draw a straight line through the two, going past both.
:Done
In the graph, one square is 1 unit
What is 5/7 written as a decimal and written as a percent rounded to the nearest tenth?
Answer:
[tex]\frac{5}{7}:\quad 0.71428\\\\= 0.71\\\\\frac{0.71}{1}\times \frac{100}{100}\\ \\= 71/100\\\\= 71\%[/tex]
Step-by-step explanation:
The fraction 5/7 is equal to 0.7 or 70%.
To convert 5/7 to a decimal,
divide the numerator (5) by the denominator (7):
So, 5 ÷ 7 = 0.71428571...
Rounded to the nearest tenth, the decimal equivalent of 5/7 is 0.7.
Now, to convert 0.7 to a percent, we multiply it by 100:
0.7 x 100
= 70%
Therefore, when rounded to the nearest tenth, 5/7 is equal to 0.7 or 70%.
Learn more about Percentage here:
https://brainly.com/question/10830776
#SPJ6
Square root of 4489 by division method
Consider first two digits and then the next two digits.If there are three digits in the given number then first consider the first digit and then the take two digits together
6 | 4489 | 6x
36
12x | 889 |
Now the number 889 has 9 in units place so take a share number which has 9 at the end (ex.3*3=9 and 7*7=49)
So put 7 in the place of x and multiply the x value with 12x(that is 127) u will get the remainder as 0
Therefore the square root of 4489 is 6x*6x i.e. 67*67=4489
-10 + x + 4-5 > 7x - 5
Answer:
x < -1
Step-by-step explanation:
Step 1: Write out inequality
-10 + x + 4 - 5 > 7x - 5
Step 2: Solve
x - 6 - 5 > 7x - 5
x - 11 > 7x - 5
-11 > 6x - 5
-6 > 6x
-1 > x
Step 3: Rewrite
x < -1
Answer:
x < -1
Step-by-step explanation:
An opera house has a seating capacity of 872 people with each ticket costing 50 Rupees .If the opera house is running for 15 days ,how much money will it make?
Answer:
654000 Rupees
Step-by-step explanation:
If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day
872 x 50 = 43600
We multiple that number by the amount of days open so is would be 43600 x 15
43600 x 15 = 654000
Therefore it will make 654000 Rupees
Please help i’m stressing.
Answer:
130°
Step-by-step explanation:
Angle ABC = 180°-50° [°.° Supplementary angles]
= 130°
20 points!! Type the correct answer in the box. Use numerals instead of words. What value of n makes the equation true? -1/5n+7=2 n =
Hey there! :)
Answer:
[tex]\huge\boxed{n = 25}[/tex]
-1/5n + 7 = 2
Start by subtracting 7 from both sides:
-1/5n + 7 - (7) = 2 - (7)
-1/5n = -5
Multiply both sides by the reciprocal of -1/5, or -5.
(-5) · (-1/5n) = (-5) · (-5)
n = 25
Answer:
1/3
Step-by-step explanation:
that does make sense
A fashion designer created a sketch of a square scarf. The design has one large triangle and two congruent smaller triangles. The shaded portion shows the part made from red silk. The sketch of the scarf has a scale of 5 inches = 3 feet. How much red silk does the fashion designer need to make the scarf? which i the answer : 2.25 ft2 4.5 ft2 6.25 ft2 12.5 ft2
Answer:4.5 ft squared
Step-by-step explanation:
3*1.5/2=4.5
explanation:
Answer:
my name is yeff
Step-by-step explanation:
The thickness of one sheet of paper is 〖8 × 10〗^(-3)
Work out the thickness of 250 sheets of paper.
Answer:
1/2048 or 4.8828125*10^(-4)
Step-by-step explanation:
First, figure out the thickness of 1 sheet of paper in number format:
[(8*10)]^(-3)=(80)^(-3) or (1/(80)^(3))=1/512000
Now, multiply 1/512000 by 250 to find the thickness of 250 sheets of paper:
250(1/512000)=1/2048
In scientific notation, this is written as 4.8828125*10^(-4).
The area of a rectangle is 180 square centimeters. If the length of the rectangle is 15 cm, what is its width?
Answer:
[tex]width=12[/tex]
Step-by-step explanation:
The formula for the area of a rectangle:
[tex]Area=length*width[/tex]
Insert the known values:
[tex]180=15w[/tex]
Solve for w. Isolate the variable by dividing both sides by 15:
[tex]\frac{180}{15}=\frac{15w}{15} \\\\12=w[/tex]
w is equal to 12, so the width of the rectangle is 12 cm.
:Done
please help and leave answers
Answer:
The other guy got it
Step-by-step explanation
Answer:
[tex]\huge \boxed{\mathrm{36\sqrt{3} +72 \ mm^2}}[/tex]
Step-by-step explanation:
The height of the triangle is important to find the area of the rectangle.
We can split the triangle in half, we get a right triangle.
Apply Pythagorean theorem to solve for the height.
3² + b² = 6²
b² = 6² - 3²
b² = 36 - 9
b² = 27
[tex]b= 3\sqrt{3}[/tex]
The length of the rectangle is 3 + 3 + 3 + 3 = 12 mm
The width is 3 + [tex]3\sqrt{3}[/tex] + 3 = [tex]3\sqrt{3}+6[/tex] mm
The area of a rectangle is length × width.
[tex]12(3\sqrt{3}+6)[/tex]
Distribute.
[tex]36\sqrt{3} +72[/tex]
The area of the rectangle is [tex]36\sqrt{3} +72[/tex] mm².
Which statement describes how the graph of a function, h(x), and its inverse, h‒1(x), are related? The line y = ‒x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x). The line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x). The graph of the inverse of h(x) is a reflection over the line y = 0 of the graph of h(x). The y-axis is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h‒1(x).
Answer:
Option B.
Step-by-step explanation:
We know that, if the graph of a function is reflected across the line y=x, then we get the graph of inverse of that function.
It means, the graph of inverse function is the mirror image of graph of function across the line y=x.
If h(x) is a function and h⁻¹(x) is its inverse function, then the line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h⁻¹(x).
Therefore, the correct option is B.
Answer:
the answer is b
Step-by-step explanation:
i got a 100 on the edg quiz
Can someone please help
Answer:
The answer is in the pictures