Answer:
g.c.f = 3g²
Step-by-step explanation:
Breakdown:
3g² → 3 * g * g
9g³ → 3 * 3 * g * g * g
3 * g * g is the common between them.Therefore the gcf is 3g²
∠ and ∠ are complementary angles. If ∠ = (12x - 3)° and ∠ = (7x - 2)°, find the
∠.
Answer:
57 °
Step-by-step explanation:
Complementary angles = 90 °
Since, Your angle don't have ∠ [ ] Then Let let "C" and "y"
Thurs, C = 12x- 3 and y = 7x - 2
It is given that angles r and s are complementary angles. Two angles are complementary if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,
c + y = 90
12x - 3 + 7x - 2 = 90
19x - 5 = 90
19x = 95
x = 95/19
x = 5
Using the value of x in expression or r, we get:
c = 12x - 3 = 12(5) - 3 = 60 -3 = 57 degrees.
So measure of angle c is 57 degrees.
Hence, the ∠ is 57 °
[RevyBreeze]
Please someone help me !!
Answer:
hope this helps...
answer in the diagram
Find the product of (x 7)(x − 7). X2 − 14x 49 x2 − 49 x2 14x 49 x2 49.
Answer:
14[tex]x^{2}[/tex] - 98x - 25774
Step-by-step explanation:
1- Reorder
Reduce
Calculate
2- Rewrite
Calculate
3- Calculate
4- Remove the parentheses
5- Calculate
Will give brainliest
Answer:
B
Step-by-step explanation:
q and u are the only congruent angles
7) An umpire at a little league baseball game has 14 baseballs in his pockets. Five of the baseballs are brand A, 6 are brand B, and 3 are brand C. What is the probability that the next ball he throws to the pitcher is a brand C baseball? Record your answer as a fraction, decimal, and a percent.
Answer:
3/14
Step-by-step explanation:
if he has 14 baseballs 5 of them are a so:
14-5=9
if he has 6 the are b then:
9-6=3
so 3 divided 14= 3/14
Explain how to get the variable alone in the following equation a / 13=4
Answer:
52
Step-by-step explanation:
a/13=4
a=13x4
So, a = 52
Find m angle BCD. Geometry math questions
Sum of two interiors=exterior
[tex]\\ \tt\longrightarrow 69+3x+12=6x+27[/tex]
[tex]\\ \tt\longrightarrow 3x+81=6x+27[/tex]
[tex]\\ \tt\longrightarrow 3x=54[/tex]
[tex]\\ \tt\longrightarrow x=18[/tex]
m<BCD=6(18)+27=108+27=135Which of the following is the equation for the graph shown?
graph of an ellipse on a coordinate plane going through 12 comma 0, negative 12 comma zero, approximately 0 comma 10, and approximately 0 comma negative 10 with points inside ellipse at negative 7 comma 0 and 7 comma 0, and lines x equals 144 sevenths and x equals negative 144 sevenths
a
x squared over 144 plus y squared over 95 equals 1
b
x squared over 144 minus y squared over 95 equals 1
c
x squared over 95 plus y squared over 144 equals 1
d
x squared over 95 minus y squared over 144 equals 1
The standard equation of an ellipse is [tex]\frac{x^2}{144} +\frac{y^2}{95} =1[/tex]
Ellipse
The standard equation of an ellipse is given by:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1[/tex]
Where (h, k) is the center of the ellipse, 2a is the length of the major axis and 2b is the length of the minor axis.
Given the center = (0, 0), a = 12, b = 9.75, hence:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1\\\\\frac{(x-0)^2}{12^2} + \frac{(y-0)^2}{9.75^2} =1\\\\\frac{x^2}{144} + \frac{y^2}{95} =1[/tex]
Find out more on Ellipse at: https://brainly.com/question/19507943
Help I don’t understand
Answer:its right
Step-by-step explanation:Just remember inorder for a relationship to function y dont repeat its eX
Can someone please help me
Answer:
(3, 0)
Step-by-step explanation:
So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
3x + y = 9 (keep as is)
x + 2y = 3 --> -3( x + 2y = 3) In this case I chose to make the X the opposite of each other
--
3x - 3x = 0 (forced to get rid of)
y - 6y = -5y (Get the -6 by -3 x 2)
9 - 9 (Get the -9 by -3 x 3)
Left with:
-5y = 0 (Divide both sides by -5 to get X alone)
y = 0
----------------------------------------------------------
(Choose any ORIGINAL equation)
x + 2y = 3
x + 2(0) = 3 (substitute)
Left with:
x = 3 (x + 0 = 3)
-------------------------------------------------------------
Optional:
Chose the other equation (the opposite from above)
Substitute X and Y in 3x + y = 9
3(3) + (0) = 9
Left with: 9 = 9 (check)
Hope this helps!
The mean weight of NINE players on a Basketball team is 177 POUNDS. Find the total weight of the nine players.
show working please
Answer:
The total weight is 1593 lbs.
Step-by-step explanation:
177*9 = 1593
does anybody know the answer to this
Answer: 130
Step-by-step explanation:
Tyler plans to put a fence around his rectangular garden. The garden measures 8 ft by 6 ft. How much fencing does Tyler need to enclose his garden? 24 ft 28 ft 48 ft I don't know.
Tyler needs 28 feet of fencing to enclose his rectangular garden.
We have,
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case,
The length of the garden is 8 ft and the width is 6 ft.
Substituting these values into the formula
Perimeter = 2 * (8 ft + 6 ft)
= 2 * 14 ft
= 28 ft
Therefore,
Tyler needs 28 feet of fencing to enclose his rectangular garden.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ12
Please, I need an answer to this question urgently.
Answer:
156
Step-by-step explanation:
While solving we will have to use the area formula of the rectangle, which is :A=w*l ; length*width=A.
Steps:
1)let’s consider that the shape is a full rectangle. => 16*12=192.
2)9*2=18 -> 18*2=36
3)192-36=156.
Area of the shape is 156 cm².
For explanation, please check the attached image.
how can i find percent %
Pls I really need help 40 points I’ve been stuck on this over an hour. Is my change in area and dimensions correct?
Answer:
you are correct.
if you multiply the base and height with 3
height: 3 * 4 = 12
base: 3 * 8 = 24
area = 1/2 * base * height = 1/2 * 24 * 12 = 144
change in dimensions: 3 * 1 = * 3
change in area is (144/16) = 9
The functions f(x) and g(x) are described using the following equation and table: f(x) = −2(1.07)x x g(x) −4 −10 −2 −7 0 −4 2 1 Which equation best compares the y-intercepts of f(x) and g(x)? The y-intercept of f(x) is equal to the y-intercept of g(x). The y-intercept of f(x) is equal to 2 times the y-intercept of g(x). The y-intercept of g(x) is equal to 2 times the y-intercept of f(x). The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
How to compare the y-intercepts?The functions are given as:
f(x) = -2(1.07)^x
Table of values for g(x)
x g(x)
−4 −10
−2 − 7
0 −4
2 1
The y-intercept is when x = 0.
So, we have:
g(0) = -4
Also, we have:
f(0) = -2(1.07)^0
f(0) = -2
-2 is greater than -4 by 2
Hence, the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Read more about y-intercept at:
https://brainly.com/question/1884491
#SPJ1
A car requires 9 liters of gasoline to cover a distance of 108 km. If the car
spent 12.5 liters of gasoline, how far did the car travel?
Answer: 150km
Step-by-step explanation:
The question says that the car required 9 litres of gasoline to cover 108km which means we and then derive that:
9L = 108km
And we are trying to find out how much distance can cover:
12.5L =?
Therefore, in order to find out the distance, we need to figure out how much distance can 1L take the car
therefore:
1L = [tex]\frac{108km}{9L}[/tex] = 12km
So if we know how far 1L can take us, we can just multiply 12.5 litres by the 12km to find out the distance:
12.5L × 12km = 150km
So, therefore, 12.5 litres can cover 150km.
how much water does Andrew save (PLS HURRY 100 POINTS)
Answer:
standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.
y = 3x
Answer:
40 gallons :)
Step-by-step explanation:
Will cooked for 45 people on Friday, 62 people on Saturday, and 43 people on Sunday. What is the mean (average)? *
Answer:
50
Step-by-step explanation:
45+62+43= 150
150/3= 50
(5x + 2)+(7x - 6) equals what
Answer:
Use F.O.I.L method
First, Outter, Inner, Last
So:
5x*7x= 35x^2
5x*-6= -30x
7x*2= 14x
2*-6= -12
So just add it all up, combine like terms and you have your answer.
35x^2 -16x -12
Answer:
12x - 4
Step-by-step explanation:
Add like terms.
5x + 7x = 12x
2 + (-6) = -4
Therefore, (5x + 2) + (7x - 6) = 12x - 4.
is 27+25k equivalent to 5(3 + 4k ) + 3(4 +k )
Answer:
No
Step-by-step explanation:
These are NOT equivalent. If you expand the 2nd expression you get 27+23k which is close, but not the same.
4 whole numbers that have median of 11 and range of 3
Answer:
What is the question?
Step-by-step explanation:
Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known that it is a linear function.
Answer:
To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)
To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.
Points on f(x): (0, -4) (2, 0) (5, 6)
Points reflected in line y=x: (-4, 0) (0, 2) (6, 5)
Plot points (-4, 0) (0, 2) (6, 5) and connect to form a straight line - this is the inverse of the function: [tex]f^{-1}(x)[/tex]
To determine the equation of f(x):
Choose 2 points on f(x): (5, 6) and (0, -4)
Calculate the slope (gradient) by using:
[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2[/tex]
Using the slope-intercept form: y = mx + b
(where m is the slope and b is in the y-intercept)
From inspection of the graph, we can see the line crosses the y-axis at -4,
⇒ f(x) = 2x - 4
As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then
f(x) = 2x - 4, 0 ≤ x ≤ 5
To determine the equation of [tex]f^{-1}(x)[/tex]:
Rewrite f(x) as [tex]y = 2x - 4[/tex]
Swap the x and y: [tex]x = 2y - 4[/tex]
Rearrange to make y the subject: [tex]y= \dfrac{1}{2}(x + 4)[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
So the equation of the inverse is: [tex]f^{-1}(x)= \dfrac{1}{2}(x + 4)[/tex]
As the original function is a segment, then
[tex]f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6[/tex]
(shown in blue on the attached diagram)
** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **
A carpenter lays 18 square feet of tiles in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
How would I do this problem if the options are the following choices:
A: 12 Square Feet Per Hour
B: 17 1/3 Square Feet Per Hour
C: 18 2/3 Square Feet Per Hour
D: 27 Square Feet Per Hour.
Answer:
D. 27 square feet per hour
Step-by-step explanation:
Step 1:
Find the unit rate. Since 18 tiles are per 2/3 of an hour, we can divide 18 by 2 to get 9 tiles layed per third hour.
Step 2:
Multiply the 9 per third of an hour by 3 to find how many are per hour,
[tex]9*3=27[/tex] square feet per hour
This is called finding the unit rate of a scenario.
Write an exponential model given the two points (10,130) and (11,240).
Answer:
y = 130(24/13)^(x -10)
Step-by-step explanation:
The y-value changes by a factor of 240/130 = 24/13 for a unit change in the x-value. This means we can write the function as though it had an initial value of 130 and a growth factor of 24/13, translated 10 units to the right.
y = 130(24/13)^(x -10)
_____
Additional comment
This can also be written in the form ...
y = a·e^(kx)
where a=130·(24/13)^(-10) ≈ 0.28266, and k=ln(24/13) ≈ 0.61310
The graphs below have the same shape. What is the equation of the blue
graph?
601=
FO) = x2
w
-5
6
-5
G(X) =
A. G(x) = (x-4)2 + 3
B. G(X) = (x+4)2 + 3
OC. G(x) = (x+4)2.3
Answer:
Correct answer is C
Step-by-step explanation:
The blue graph is translated down 3 which would give you the minus 3 and translated left 4 giving you the plus 4..
The equation of the blue graph is G ( x ) = ( x + 4 )² - 3
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of the graph be represented as A
Now , the value of A is
Since the graph is that of a parabolic curve ,
It is a quadratic equation of the form y = ( x + a )² - b
And , the graph is shifted right to 4 units and down by 3 units
So , the equation of graph is G ( x ) = ( x + 4 )² - 3
Hence , the equation of graph is G ( x ) = ( x + 4 )² - 3 and plotted
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
Write an equation the describes the line passing through point (-2,8) with slope 4/5
Answer:
point-slope form: [tex]y-8=\frac{4}{5}(x+2)[/tex]
Step-by-step explanation:
hope this helps :)
A total of 638 tickets were sold for the schoc play. They were either adult tickets or student tickets. There were 62 fewer student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
576 adult tickets were sold at the school play.
Step-by-step explanation:
638 - 62 = 576
Answer:
576
Step-by-step explanation:
you would do 638-62 and get 576
can you help me with this please 9u+6u+9u–7u
Answer: 17u
Step-by-step explanation:
(9+9+6-7)u=17u
Answer:
17u
Step-by-step explanation:
9u+6u+9u =24u
24u-7u=17u