Answer:
B. f(x) = -x + 11Step-by-step explanation:
y = f(x)
therefore
x + y = 11 → x + f(x) = 11 |subtract x from both sides
x - x + f(x) = 11 - x
f(x) = -x + 11
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
Here,
To find the function with the same graph as x + y = 11,
we need to isolate y in the equation to make it of the form y = f(x).
Given equation: x + y = 11
Subtract x from both sides of the equation:
y = 11 - x
Now, we have the equation in the form y = f(x).
so, we get, f(x) = -x + 11
i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11
so, we have,
The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.
Therefore, the correct answer is:
B. f(x) = -x + 11
To learn more on function click:
brainly.com/question/21145944
#SPJ7
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.
Values of p are factors of
.
Values of q are factors of
.
Answer:
-4, 3
The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)
Step-by-step explanation:
For edge:)
Rational root theorem is used to determine the potential roots of a function
The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
The function is given as:
[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]
p represents the leading coefficient, while q represents the constant term.
So, we have:
[tex]\mathbf{p = 3}[/tex]
[tex]\mathbf{q = 4}[/tex]
The factors of p and q, are:
[tex]\mathbf{p =\pm 1, \pm 3}[/tex]
[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]
So, the potential roots are:
[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]
[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]
So, we have:
[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Read more about rational root theorems at:
https://brainly.com/question/9353378
What is the length of EF?
PICTURE BELOW:
CHOICES ARE:
3.8
2.4
1.2
0.5
Answer:
3.8 is the answer of this question
Please i need help, plz help me
The magical answer that you are looking for is D.
When two angles are supplementary their sum is equal to 180 degrees. Let x equal one of two supplementary angles. If the other angle is equal to 67 degrees, write
an equation in terms of x for the sum of the two angles.
since we know supplementary angles equal 180 degrees, we know that 67 plus x must equal 180 degrees, so the equation for this problem would be
67+x=180, and x is equal to 113
Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?
Answer:
f(x) = - 4x² - 20x + 56Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
f(x) = -4(x - 2)(x + 7)
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
f(x) = -4x² - 20x + 56
The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is
f(x) = -4 ( x - 2 ) ( x + 7 )
Its standard form is
f(x) = -4x² - 20x + 56.
What is a parabola?It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
We have,
To find the equation of a parabola we use the factored form of a quadratic equation.
f(x) = a ( x - m ) ( x - n)
Where a is the leading coefficient and m and n are the zeros of the quadratic.
The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,
m = 2
n = -7
Now the equation passes through (1, 32) = (1, 32) so we have,
32 = a ( 1 - 2 ) ( 1 - (-7) )
32 = a ( -1 ) ( 1 + 7 )
32 = a ( -1 )8
32 = -8a
a = -32 / 8
a = -4
We have,
m = 2
n = -7
a = -4
The equation of the parabola is:
f(x) = a ( x - m ) ( x - n)
f(x) = -4 ( x - 2 ) ( x + 7 )
We can expand to its standard form as:
f(x) = ( -4x + 8 ) ( x + 7 )
f(x) = -4x² - 28x + 8x + 56
f(x) = -4x² - 20x + 56
Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.
Learn more about parabola here:
https://brainly.com/question/4074088
#SPJ2
HELP MEE Simplify the expression : (5x + 3y) + (2x + 12y)
Answer:
7x+15y
Step-by-step explanation:
Answer:
15y+7x
Step-by-step explanation:
Simply the equation by combining like terms
Write the equation of a line with the slope of -7 and passing through the point (2, 2).
Answer:
y=-7x+16
Step-by-step explanation:
y-y=m(x-x1)
y-2=-7(x-2)
y-2=-7x+14
+2 +2
y=-7x+16
Solve the function below for y when x=12.
y=−3x+20
Answer:
y = -16
Step-by-step explanation:
y = -3(12) + 20
y = -36 + 20
y = -16
Hope this helps and pls do mark me brainliest if you can:)
Anyone please hurry ????
Answer:
8 units right 2 units down
Step-by-step explanation:
A small kite starts 3.7meters off the ground and rises at 6.2 meters per second. A large kite starts at 20.65 meters off the ground and drops at a rate of 5.1 meters per second. After how many seconds are the kites at the same height? Write and solve an equation.
Answer: The kites are at the same height at 15.41s
Step-by-step explanation:
Step 1
Let t represent the time in seconds.
The equation that represents when both small and large kite are at the same height is given as
3.7 + 6.2t =20.65 +5.1t
Step 2----- Solving
3.7 + 6.2t =20.65 +5.1t
Taking like terms and subtracting
6.2t-5.1t = 20.65- 3.7
1.1t =16.95
t = 16.95/1.1
t=15.41s
The kites are at the same height at 15.41s
The marked price of an article is Rs.100. If its sold at Rs.80 , find the discount rate.
Please answer quick.
Answer:
20%
Step-by-step explanation:
Given parameters:
Marked price = Rs. 100
Selling price = Rs. 80
Unknown:
Discount rate = ?
Solution:
The price on the label of an article is the marked price;
Discount amount = Marked price - selling price
= Rs. 100 - Rs. 80
= Rs. 20
Discount rate = [tex]\frac{Discount }{Marked price } x 100[/tex]
Discount rate = [tex]\frac{20}{100}[/tex] x 100 = 20%
Segment AB has endpoints with coordinates A: (-4, -7) and B: (8, -4). Determine the value of the x-coordinate of the interior point that separates Segment AB into lengths with a ratio of 8:5. Record answer to the nearest tenth.
Answer:
≈ 3.4
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are
[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4
BRAINLIEST! Please help me with the following riddle (its part of an assignment):
If an electric train is traveling south, which way is the smoke going?
Answer:
The electric train produces no smoke.
Step-by-step explanation:
Hope this helped! :>
Answer:
There is no smoke. This is because the train is electric so it does not even matter the direction.
someone sole this please?!
Answer:
[tex] \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} [/tex]
Answer:
x= -17/5 or x=-3.4
Step-by-step explanation:
1. multiply both sides of equation by 10 (6x-1 = x+2-20)
2, calculate the difference (6x -1=x-18)
3. move the terms ( 6x-x-1=-18)
4. collect like terms ( 5x=-18+1)
5. divide both sides (x=-17/5)
How is 4.209 written using words?
Answer:
Four and two hundred nine thousandths
Answer
four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.
Step-by-step explanation:
Find the height of the tree in the diagram shown.
Answer:
Assuming we have the same question, the answer would be: D) h = 45tan59° ft
Step-by-step explanation:
work out inverse function
y=8x
Answer:
[tex]\frac{x}{8}[/tex]
Step-by-step explanation:
When solving inverse functions, switch the x and y's:
x=8y
Then solve for y: (divide 8 on both sides)
[tex]\frac{x}{8}=y\\[/tex]
6x + 3x - x + 9 = 33
Answer: x=3
Step-by-step explanation:
6x + 3x - x + 9 = 33
Combine like terms:
6x+3x-x=8x
The equation is now 8x+9=33
Subtract 9 on both sides:
8x+9-9=33-9
8x=24
Divide 8 on both sides:
8x/8=24/8
x=3
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
1) Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Step-by-step explanation:
1) The function modelling the height of the balloon is h(x) = -11x + 330
Where;
x = The time of elevation of the balloon
The data for the graphing derived from Microsoft Excel are as follows
x [tex]{}[/tex] h(x)
0 [tex]{}[/tex] 330
5 [tex]{}[/tex] 275
10 [tex]{}[/tex] 220
15 [tex]{}[/tex] 165
20 [tex]{}[/tex] 110
25 [tex]{}[/tex] 55
30 [tex]{}[/tex] 0
Please find attached, the graph of the function
The domain of the function is 0 ≤ x ≤ 30
The range of the function is 330 ≥ x ≥ 0
Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11
2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable
Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x
Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second
3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds
The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds
Answer:
I had the same problem! Here is my work, pretty sure its the right answer!
Step-by-step explanation:
Abdul's average speed is 30 mph in heavy traffic, and his average speed is 50 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 2 hours, how far did Abdul travel?
Answer: Abdul traveled 130 miles
Step-by-step explanation:
Step 1
Using the formula to calculate how far Abdul traveled
Distance = speed x time.
Step 2---- Solving
In heavy traffic
Distance covered = speed x time = 30miles /hour x 1 hour = 30 miles
In light traffic
Distance covered = speed x time = 50miles/ hour x 2 hour = 100 miles
Total distance covered = Distance covered in heavy traffic + distance covered in light traffic = 100+ 30 = 130miles
ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!! Which conversion factor would you use to convert from meters to feet?
Answer:
1 ft / 0.3048 m
Step-by-step explanation:
find the value of 1/2×3/5 +1/2×2/5 by using suitable property.
please answer this friends
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{5}[/tex] ( perform multiplication before addition )
= [tex]\frac{3}{10}[/tex] + [tex]\frac{2}{10}[/tex]
= [tex]\frac{5}{10}[/tex] ( divide numerator/ denominator by 5 to simplify )
= [tex]\frac{1}{2}[/tex]
Answer:
0.5
Step-by-step explanation:
first put the given below:
1/2 × 3/5 + 1/2 × 2/5 = 0
second take the first and second for the first answer to make the whole answer:
((1/2 × 3)/5) = 0
( 1/2 ) × 3 = 1.5
1.5/5 = 0.3
FIRST SOLVATION ( ANSWER ): 0.3
third , after we take the first solvation the second is we need to compute the remaining given or number:
((1/2 × 2)/5) = 0
( 1/2 ) × 2 = 1
1/5 = 0.2
SECOND SOLVATION ( ANSWER ): 0.2
and the last but not the list , the last is add the first solvation and second solvation and you will see what is the answer:
0.3 + 0.2 = 0.5
FINAL ANSWER: 0.5
Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinityAnswer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19
Answer:
The answer is D
Step-by-step explanation:
I need an answer as soon as possible
Answer:
The answer x = 75
Step-by-step explanation:
A triangle's angles must add up to 180 degrees.
We already have 47 and 58 which is 105. 180 - 105 = 75.
Find the value of x. X=
Answer:
109°
Step-by-step explanation:
there are two ways to slove this kind of questions.
simply,x = 64 + 45
or x = 180-(180 - 64- 45)
what’s is the slope?
Answer:
1/2
Step-by-step explanation:
(1,1) (2,3)
you have to do the difference of the x axis and y axis then divid them by each other
if f(x)=10x+3 whar is the value when f(x)=19
Answer:
x = 1.6
Step-by-step explanation:
Given f(x) = 10x + 3 and f(x) = 19, then equate right sides, that is
10x + 3 = 19 ( subtract 3 from both sides )
10x = 16 ( divide both sides by 10 )
x = 1.6
Answer:
x = 1.6Step-by-step explanation:
Given
f(x)=10x+3and
f(x) = 19 ⇒ x = ?Solution
10x + 3 = 1910x = 16x = 16/10x = 1.6Lauren is working two summer jobs, making $11 per hour washing cars and $6 per hour walking dogs. Lauren must earn no less than $120 this week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Lauren can work in a given week
Answer:
11w + 6g ≥ 120
Step-by-step explanation:
Let's set:
w = number of hours Lauren spent washing cars
d = number of hours Lauren spent walking dogs
Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.
Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.
The total earnings are:
T = 11w + 6g
Lauren must earn not less than $120 this week, thus:
11w + 6g ≥ 120
This is the required inequality
Answer:
11w+6d≥120
Step-by-step explanation:
this is straghit from my delt math so it has to be right
Orville was out bicycling with his brother Wilbur. Orville stopped to fix a flat tire. Wilbur continued at 10 mph. After 30 minutes, Orville had fixed the flat, and he rode off at 12 mph in pursuit of Wilbur. In how many hours did Orville catch up to Wilbur?
Answer:
Orville caught up with Wilbur in 2.5 hours
Step-by-step explanation:
Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur
Mathematically,
distance = speed * time
The distance traveled before Orville restarted his own journey is ;
distance = 10 mph * 0.5 = 5 miles
(30 minutes is 30/60= 0.5 hours)
So this means that Wilbur was now 5 miles ahead of Orville
Now, let the number of hours it took to
catch up Wilbur be h
In h hours,
Wilbur would have traveled 5 miles + 10h
In this same time, Orville would have traveled
12 * h = 12h
So the distance traveled by the two will be equal at this h hour
5 + 10h = 12h
12h-10h = 5
2h = 5
h = 5/2
h = 2.5 hours