Answer:
g(p + 4) = [p² + 8p + 21 / 3p + 12]
Step-by-step explanation:
Function :
g(x) = (x² + 5) / 3x
Substitute x = p + 4 :
⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)
⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]
⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]
someone help this is so confusing
I mean im prob in a lower grade then you so i'd say b?
Find the product of (x + 7)(x - 7).
x2 - 14x + 49
x2 - 49
x2 + 14x + 49
x2 + 49
Answer:
x² - 49
Step-by-step explanation:
Identity: (a + b)(a - b) = a² - b²Here a = x and b = 7
(x +7) (a -7) = x² - 7²
= x² - 49
Answer:[tex]x^{2} -49[/tex]
Step-by-step explanation:
Solve for x in, 2(4x-3)-8=4+2x
Answer:
x = 3
Step-by-step explanation:
1.
[tex]2\cdot \left(4x-3\right)-8=4+2x\\2\cdot 4x+2\cdot -3-8=4+2x\\8x-6-8=4+2x\\8x-14=4+2x[/tex]
2.
[tex]8x-14=4+2x\\8x-14-2x=4+2~x-2x\\8x-2x-14=4+2x-2x\\6x-14=4+2x-2x\\6x-14=2x-2x+4\\6x-14=4[/tex]
3.
[tex]6x-14=4\\6x-14+14=4+14\\6x=4+14\\6x=18[/tex]
4.
[tex]6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=\frac{18}{6}\\\\[/tex]
[tex]x=\frac{3\cdot 6}{1\cdot 6}\\\\Factor\\x=3[/tex]
Help with Alg2. Please explain how.
Answer:
c = 14.43 units to the nearest hundredth.
Step-by-step explanation:
We are given 2 sides and the included angle so we use the Cosine Rule.
c^2 = a^2 + b^2 - 2absinC
= 20^2 + 17^2 - 2.29.17cos45
= 208.17
c = √208.167
= 14.43.
Translation 3 units left and 15 units down
Rotation 270° counterclockwise around the origin
Answer:
W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
Kindly check the attached image for more reference
Step-by-step explanation:
Given points of WXYZ ( can be identified by looking at the graph )
W : (14,10) X : (12,4)Y : (6,6) Z : (8,12)Applying translation 3 units left , 15 units down
(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)
Rule for translation (x,y) ===> ( x - 3 , y - 15 )
Applying translation to given points
W : (14,10) ===> (14-3,10-15) ===> (11,-5)X : (12,4) ===> (12-3,4-15) ===> (9,-11)Y : (6,6) ===> (6-3,6-15) ===> (3,-9)Z : (8,12) ===> (8-3,12-15) ===> (5,-3)Applying rotation 270° counterclockwise around the origin
Rotation 270° clockwise rule : (x,y) ===> (y,-x)
Explanation of rule , change the sign of the x values, then swap the x and y values places.
Applying rotation rule to points
W : (11,-5) ===> (y,-x) ===> (-5,-11)X : (9,-11) ===> (y,-x) ===> (-11,-9)Y : (3,-9) ===> (y,-x) ===> (-9,-3)Z : (5,-3) ===> (y,-x) ===> (-3,-5)So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
To see this graphed, kindly view the attached image.
The red square represents the square before any transformations
The blue square represents the square following the translation
And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .
Answer:
Original image:
W = (14, 10)
X = (12, 4)
Y = (6, 6)
Z = (8, 12)
To translate 3 units left, subtract 3 from the x-values (x - 3)
To translate 15 units down, subtract 15 from the y-values (y - 15)
W' = (14 - 3, 10 - 15) = (11, -5)
X' = (12 - 3, 4 - 15) = (9, -11)
Y' = (6 - 3, 6 - 15) = (3, -9)
Z' = (8 - 3, 12 - 15) = (5, -3)
(red square on attachment)
To rotate 270° counterclockwise around the origin (0, 0),
the point (x, y) becomes (y, -x). So, switch x and y and make x negative.
W'' = (-5, -11)
X'' = (-11, -9)
Y'' = (-9, -3)
Z'' = (-3, -5)
(green square on attachment)
Question Write an equation in slope-intercept form of the line that passes through (6, −2) and (12, 1)
Answer:
[tex]y = \dfrac 12x -5[/tex]
Step-by-step explanation:
[tex]\text{Given that,}~ (x_1,y_1) = (6,-2)~ \text{and}~ (x_2,y_2) = (12,1)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{1+2}{12-6}= \dfrac{3}{6} = \dfrac 12\\\\\text{Equation of line,}\\\\~~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y+2=\dfrac 12 (x-6)~~~~~~~~~~~~~~;[\text{Point -slope form}]\\\\\implies y = \dfrac 12 x -3 -2\\\\\implies y = \dfrac 12x -5~~~~~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form.}][/tex]
Sam and his mother made an agreement for the upcoming weekend concerning internet usage and watching television. The function on the graph below represents the agreement they made.
What does the x-intercept represent?
Answer:
See below
Step-by-step explanation:
The x-intercept is where the line first passes the x-axis, or when y=0. In this case, if you are on the internet for 5 hours, then you have 0 hours to watch TV.
Answer:
sam is watching 5 hours on the internet and no time on the television
Step-by-step explanation:
there are 11 clowns and 3 elephants. how many is all together?
Answer:
14
Step-by-step explanation:
I NEED THE ANSWER ASAP
Simplify √40
Select one:
a. 20
b. 4
c. 4√10
d. 2√10
Answer:
Option D. [tex]\sf 2\sqrt{10}[/tex]
How many possible outcomes exist when four fair coins are flipped? 2 4 8 16
Answer:
16
Step-by-step explanation:
50-50 chance for each
2x2x2x2=16
Question 1 of 42
Which of the following is the domain and range that represents the function
F(x), given the mapping diagram of the inverse of F(x) below?
2
NO 00
4
3
2
1
6
8
2-
No00
هم نه ليا ده
6
2.
3
4.
8
O A.
2.
4
3
2
1
NW
6
8
B.
The option A is showing the domain ans the range of the function F(x) as inverse of F(x).
What is inverse function?In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]
Here in the graph we can see that the option A has the clear range of the function.
[tex]2------- > 1\\4------- > 2\\6------- > 3\\8------- > 4[/tex]
Hence the option A is showing the domain ans the range of the function F(x) as inverse of F(x).
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What is the slope of the line shown below?
A. -1/3
B. 1/3
C. 3
D. -3
Answer:
C. 3
Step-by-step explanation:
Using the slope formula
Answer:
C. 3
Step-by-step explanation:
8 - 2/ 4 - 2 = 6/2 = 3
...................................................
Please help I will mark brainliest.
Answer: Can you take a more clear picture
Step-by-step explanation:
Using polynomial long division how can you determine if x-3 is a factor of x^3+4x^2-12x+24
When the remainder of the polynomial is 0, it is a factor and when it is not zero, then it is not a factor.
What is a polynomial?A polynomial is an algebraic equation with at least the power of its being 2.
When the power of the variable is 2, it is called a quadratic equation.
Analysis:
If [tex]x^{3}[/tex] + 4[tex]x^{2}[/tex] -12x + 24 is divided by x -3, quotient is [tex]x^{2}[/tex]
remainder 7[tex]x^{2}[/tex]-12x+24
7[tex]x^{2}[/tex]-12x+24 divided by x-3, quotient is 7x, remainder 10x + 24
10x+24 divided by x-3, quotient is 10, remainder is 54
In conclusion, since it has a non zero remainder, then x - 3 is not a factor of the polynomial.
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A cube with a side length of 6 feet is sliced diagonally such that it passes through the three vertices shown in the figure. which describes the cross section? a cube. a cross section is a triangle that touches 3 corners of the cube. a triangle with 3 equal sides measuring 6 feet a triangle with 3 equal sides measuring greater than 6 feet a triangle with only 2 equal sides measuring 6 feet a triangle with only 2 equal sides measuring greater than 6 feet
Answer:
Its C.
Step-by-step explanation:
Answer:
"C"
Step-by-step explanation:
It's "C" on the other brainly as well -_-
Roberto farms a tract of land that typically yields 147.4 kilograms of peas. A fertilizer manufacturer claims that its fertilizer will produce a 25% increase in the yield. What total amount of peas should Roberto expect from this tract of land if he applies the fertilizer? If necessary, round your answer to the nearest hundredth.
Answer:
184.25 kg
Step-by-step explanation:
25% more is found by adding 25% of the original value to the original value. It is equivalent to multiplying the original value by (1 +25%) = 1.25.
__
25% of Roberto's yield is ...
147.4 kg × 0.25 = 36.85 kg
If Roberto's yield increases by that amount, it will be ...
147.4 kg + 36.85 kg = 184.25 kg
Roberto should expect a yield of 184.25 kg.
Answer:
184.25
Step-by-step explanation:
find the total surface area of this cuboid.
6cm
5cm
4cm
Answer:
148cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(6 x 5) + 2(6 x 4) + 2(4 x 5)
= 2(30) + 2(24) + 2(20) then simplify
= 60 + 48 + 40
= 148
Simplify the expression (2x − 9)(x 6). a. 2x2 − 54 b. 2x2 − 3x − 54 c. 2x2 3x − 54 d. 2x2 21x − 54
The means of simplifiying is by factoring. The simplified form of the expression is 2x² + 3x - 5
Simplifying expressionsThe means of simplifiying is by factoring
Given the expression
(2x - 9) (x+ 6)
Expand
(2x - 9) (x+ 6)
2x² +12x -9x - 54
2x² + 3x - 54
Hence the simplified form of the expression is 2x² + 3x - 54
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Answer: It's
c
Step-by-step explanation:
I need help with this question please answer fast!
Answer:
Its probably C or B I hope this helps!
Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.
========================================================
Work Shown:
x = number of hours
1.5x = number of pages written after x hours
y = 6-1.5x = number of pages left after x hours
--------------
In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.
--------------
An example:
x = 2 so 1.5x = 1.5*2 = 3
At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.
19. Find the x- and y-intercepts of the equation -x + 2y = 8. Write your answers as ordered pair.
_x 11 = 99 what is the missing number?
Answer:
9 x 11 = 99
Step-by-step explanation:
if the number 11 is being multiplied by is under 10 its just that number twice.
11x1 = 11
11x2 = 22
11x3 = 33
ya know?
What should frankie consider before buying the car? check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Frankie should consider these factors before buying the car including the following:
What are the factors to consider before buying a car?In addition to quality, cost of ownership, payment impact, and reliability, Frankie should consider these factors before buying the car:
b. the cost to maintain (oil, tires, gas, brakes) and insure the car.
d. his short- and long-term financial goals.
e. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
Thus, the most important factors that Frankie should consider before buying the car are listed above.
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Answer:
A, B, D, E
Step-by-step explanation:
-what he will be giving up if he spends $800 on the car
-the cost to maintain (oil, tires, gas, brakes) and insure the car
-his short- and long-term financial goals
-if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Estimate 21.2 - 4.8 to the nearest whole number. please hurry
Answer:
16
Step-by-step explanation:
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?
A circle has radius of 12 inches. What is the length of the arc subtended by a central angle
of 7/6 radians? Round to the nearest ioth.
Answer:
why are you here have no brain
Step-by-step explanation:
Please someone help me this is super easy I just forgot how to do it
Answer:
_48x +32
Step-by-step explanation:
_(16*3x_16*2)
_(48x_32)
_48*+32
Graph (x - 2)2 + (y - 1)2 = 9 - Double tap to add text
Answer:
Step-by-step explanation:
(x−2)2+(y−1)2=9
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable r
represents the radius of the circle, h represents the x-offset from the origin, and k
represents the y-offset from origin.
r=3
h=2
k=1
The center of the circle is found at (h,k)
.
Center: (2,1)
These values represent the important values for graphing and analyzing a circle.
Center: (2,1)
Radius: 3
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
Step-by-step explanation:
just keep on adding all of those up
Please help me!
How do you simplify the expression[tex]: x*4^8/4^5[/tex]
Answer:
64x
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b - c}[/tex], we can simplify the fraction.
Simplify:[tex]x*\frac{4^8}{4^5}[/tex][tex]x* 4^{8 - 5}[/tex] Use the exponent rule.[tex]x * 4^3[/tex] Simplify the power[tex]x*64[/tex] Simplify the exponent[tex]64x[/tex] SimplifyThe simplified expression is 64x.