f(x) = g(x) at x=2.
Step-by-step explanation:
We have, f(x) = x + 6 & g(x) = 5x - 2. Let's sketch graph step by step :
for f(x):
f(x)= x is a straight line passing through origin. Then , shift graph by 6 units in right so it be comes f(x) = x + 6 .
For g(x) :
g(x) = x is a straight line passing through origin. Then , expansion of graph by 5 units so it becomes g(x) = 5x . Then , shift the graph by 2 units to left so final equation becomes g(x) = 5x - 2.
Now, on comparing graph of both f(x) & g(x) we see that f(x) cuts g(x) at one and only point at x = 2. Also, for x = 2 , f(x) = g(x). ∴f(x) = g(x) at x=2.
The following circle graph represents how the Townsends spend their monthly income What is the central angle measure of the section that represents "Miscellaneous"?
Townsend's Monthly Budget
Food
20%
Miscellaneous
25%
Clothing
10%
Bills
40%
Savings
5%
A.25°
B.54
C.720
D.90°
Answer:
Would be a 90 Degree central angle.
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true? 017)-0(4) =
017-4) 5
7-4 = ā
oli
917)
914)
5
6
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
Therefore, would be the correct statement.
Answer: C on edge
Step-by-step explanation:
2022 papi chulo
What is 8.7 7 reapeating forever as a fraction
Answer:
877/100
hope it's correct Ashlin! :D
Which one is greater than 1 3/24 or 1 2/6
Answer:
1 2/6
Step-by-step explanation:
1 3/24 is simplified to 1 1/8
1 2/6 is simplified to 1 1/3
since the denominator in 1 1/3 is less and the numerators are the same 1 2/6 is greater.
Answer:1 2/6
Step-by-step explanation:
From the above:
3/24 = 0.2
1 2/6 = 14/6 = 2.33
P varies directly as I. If P is 0.5 when I is 4, find P when I is 6
Answer:
P = 0.75
Step-by-step explanation:
Given that P varies directly as I then the equation relating thenm is
P = kI ← k is the constant of variation
To find k use the condition P = 0.5 when I = 4, thus
k = = = 0.125
P = 0.125I ← equation of variation
When I = 6, then
P = 0.125 × 6 = 0.75
Each week, Darin's Lawn Service mows 90 lawns in 45 hours at a housing complex. The lawns in the complex are the same size. At this rate, how many hours will it take Darin to mow 12 lawns?
The number of hours it takes Darin to mow 12 lawns is 24 hours.
Given that, Each week, Darin's Lawn Service mows 90 lawns in 45 hours at a housing complex.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, the rate at which Darin's Lawn Service mows
= 90/45
= 2 lawns/hour
Now, number hours to mow 12 lawns
= 12 ×2
= 24 hours
Therefore, the number of hours it takes Darin to mow 12 lawns is 24 hours.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Convert into fraction:
0.612
the 12 reapeating forever
plz help
Answer:
Step-by-step explanation:
x=0.6121212... (1)
10x=6.121212... (2)
1000 x=612.121212... (3)
(3)-(2) gives
990 x=606
330x=202
165x=101
x=(101)/165
Answer:
Step-by-step explanation:
What is the slope of the line passing through the points (4, 8) and (1, 6)?
Triangle DEF is congruent to right triangle ABC, shown below. If point E has the coordinates (1, 5), what could be the coordinates of point F? (–2,1)
(–3,2)
(1,0)
(1,2) l
Answer: A
(-2,1)
Step-by-step explanation:
Just did it on Edge
Answer:
-2,1
Step-by-step explanation:
n/a
What is the median of the following numbers? 8 , 10 , 8 , 5 , 4 , 7 , 5 , 10 , 8
Answer:
Step-by-step explanation:
arranging in ascending order
4,5,5,7,8,8,8,10,10
n=9
median=(9+1)/2=5th term=8
Answer:
The median is 8
Step-by-step explanation:
1. You have to organize them in least to greatest order,
4,5,5,7,8,8,8,10,10
2. Now take these numbers and climate one from each side untill you have 1 or 2 numbers left.
4 5 5 7 8 8 8 10 10
x x x x ! x x x x
The median is 8
12. A flat, square roof needs a square patch in the corner to seal a leak. The side length of the roof is (x + 12) ft and the side length of the patch is x ft. What is the area of the
good part of the roof?
Answer:
Step-by-step explanation:
Area of the good part= area of whole roof - area of bad part
Since the roof is a square roof, the area will be calculated using the formulae for area of a square
Area of a square =length²
Area of good part =(x+12)²-x²
A= {(x+12)(x+12)} - x²
A = (x²+12x+12x+144) -x²
Open the bracket and rearrange the equation
A= x²-x²+24x+144
A=(24x+144) ft
Work out
Function B: x -> (divide by) 5 ->+1 b) Find the inverse function
of function B.
Your answer should begin y =
Answer:
y = 5(x - 1)
Step-by-step explanation:
y = (x/5) + 1
Make x the subject
y - 1 = x/5
x = 5(y - 1)
Interswitch x and y
y = 5(x - 1)
Or, y = 5x - 5
Solve the quadratic equation by completing the square. 2x2 + 3x - 4 = 0
Answer: x = 0
Step-by-step explanation:
4 + 3x - 4= 0
3x=0 (divide both sides by 3)
x= 0/3
x = 0
Step-by-step explanation:
What is the domain of the function f(x)=3 square root x-2
Answer:
Domain = [2 , +∞[
Step-by-step explanation:
the function have a sense only and only if x-2 ≥ 0 equivalent to x ≥ 2
Answer:
x2
Step-by-step explanation:
the number under the square root needs to be 0 or positive since you cant have the square root of a negative. so set x-2=0 solve for x you get 2
67. Write the slope-intercept form of the equation of the line passing through the point (-4.3) and parallel to the line y = -5x - 3.
[A] y = -5x +11 [B] y = 5x +17 [C] y = -5x-17 IDI y = 5x - 11
Answer:
[C] y = -5x-17Step-by-step explanation:
The Line is parallel to the line of equation y = -5x - 3
then its slope equal to -5
then its equation is y = -5x + p where p is a real number to find out
it passes through (-4,3) means 3 = -5(-4) + p then p = -17
finally, y = -5x - 17
Answer:
C
Step-by-step explanation:
because it is parallel they need to have the same slope, so it can either be A or C
it needs to pass through the point (-4, 3) so you have to plug -4 into both equations and whichever one gives you 3 is your answer
A) (-5)*(-4)-3=17
C) (-5)*(-4)-17=3 this
C gives you 3 so that is the answer
Send me notes with important stuff I need to know about slope. Since I know nothing about it and I’m so confused on the subject. Better be over a paragraph please. That’s why I made it 100 points... :/
Using Slope to Graph Lines
One can graph a line if we know only its slope and one point on it. First, plot the point. Next, if the slope is a fraction, move to the right the number of spaces equal to the denominator, and move up (or down, if the slope is negative) the number of spaces equal to the numerator. Plot a point at the spot you end up. If the slope is not a fraction, move 1 space to the right and then move up or down the number of spaces equal to the slope. You can also move left the number of spaces in the denominator and down (or up if negative) the number of spaces in the numerator and plot a point at the spot you end up.
Connecting these points with a straight line and extending on both sides yields a line with the desired slope and containing the given point.
Find the slope of the line given by the equation 5y = - 2x + 1
5y = - 2x + 1 (no change)
= - 2/5
m = - 2/5
Slope
In addition to its familiar meaning, the word "slope" has precise mathematical meaning. The slope of a line is the rise over the run, or the change in y divided by the change in x. To find the slope of a line, pick any two points on the line. Then subtract their x-coordinates and subtract their y-coordinates In The Same Order. Divide the difference of the y-coordinates by the difference of the x- coordinates:m = change in y/change in x
I hope this is helpful. If you have any questions, let me know!
Answer:
V shapes slopes usually interlock with a river's upper course
Step-by-step explanation:
If 30% is lost by selling a sofa set for RS 980, at what price must it be sold to gain 10%.
Answer:
1078
Step-by-step explanation:
first: multiply 980 by 0.10 to get 10% of 980
second: take that value (98) and add it to 980
then: you get 1078 after adding
Expand 5x(x-3y)
please can anyone answer this. need answer asap
Answer:
5x² - 15xy
Step-by-step explanation:
Given
5x(x - 3y)
Each term in the parenthesis is multiplied by the 5x outside, thus
(5x × x) + (5x × - 3y)
= 5x² + (- 15xy)
= 5x² - 15xy
Which ordered pair would be a solution on the graph of the following system of inequalities: y is greater than or equal to negative one-half times x minus 8 and y is less than 8 times x plus 2?
Ordered pair is
Step-by-step explanation:
We have the following inequalities:
and . In order to find ordered pair would be a solution on the graph .Let's solve both inequalities , and will take common solution from both of them !
and , which implies:
⇒
⇒
⇒
putting value of x in both inequalities we get,
and
and
and
Hence at x = and y = above inequalities are satisfied. ∴ Ordered pair is