Select the correct answer.
Which function has the same graph as x + y = 11?
A.
f(x) = -y + 11
B.
f(x) = -x + 11
C.
f(x) = x − 11
D.
f(x) = y − 11
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
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Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x
Answer:
The maximum height of the rocket is 3600
Step-by-step explanation:
The vertex of the quadratic equation y = ax² + bx + c is (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = y at x = hThe vertex (h, k) is a minimum point if a is positive The vertex (h, k) is a maximum point if a is negativeThe height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time
To find the maximum height, do that
Find the x-coordinate of the vertex of the equation ⇒ hSubstitute the value of x in the equation by h to find the y-coordinate of the equation ⇒ kThe maximum height equal the value of kLet us do that
∵ y = -16x² + 480x
∴ a = -16 ⇒ the vertex is a maximum point
∴ b = 480
→ Use the rule above to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]
∴ h = 15
∵ k = y at x = h
→ Substitute x by 15 in the equatuion and y by k to find x
∵ k = -16(15)² + 480(15)
∴ k = -3600 + 7200
∴ k = 3600
∵ The maximum height equal the value of k
∴ The maximum height of the rocket is 3600
Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages
Answer:
Need more information
Step-by-step explanation:
I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading
The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet
Answer:
Distance on drawing is 11.7 feet.
Step-by-step explanation:
A scale is a factor that can be used to either increase or decrease the size of an object.
Scale = [tex]\frac{distance on drawing}{original distance}[/tex]
Given that:
scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches
So,
[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]
distance on drawing = [tex]\frac{3*93}{2}[/tex]
= [tex]\frac{279}{2}[/tex]
= 139.5
distance on drawing = 139.5 inches
Since 12 inches = 1 foot, then;
Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]
= 11.625 feet
Distance on drawing is 11.7 feet.
PLease help me find the unit rate for $140 for 18 ft
Answer:
Step-by-step explanation:
So,
$140 Dollars per 18 feet
Divide by 18 on both sides
140/18=18/18
140/18 is equal to 7 and 2/9
The answer is 7.77777778
PLEASE HELP ME!!
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Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters
Answer:
-2, -3.1, -2.5
Step-by-step explanation:
Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.
The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;
-2 meter
-3.1 meter
Negative 2 and one-half meters
Given that;
A diver’s position is in the surface of the water diving into a pool.
We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.
What is Negative number?
A number less than zero is called the negative number.
A diver’s position is in the surface of the water diving into a pool.
Since, Diving into a pool is represents negative number.
Hence, The number to represents a diver's position is in negative sign.
So, The numbers are;
⇒ -2 meter
⇒ -3.1 meter
⇒ Negative 2 and one-half meters.
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can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
A snack bar at an outdoor fair is open from 10 A.M. To 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.
Answer:
the question is incomplete, so I looked for similar ones
the number of bottles of water remaining as a function of time:
f(x) = -78x + 468
1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour
x = number of hours
the slope is -78
the y intercept is 468
domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)
range = 0 ≤ y ≤ 468 bottles
the snack will run out of bottles of water by 4 PM
78x = 468
x = 468 / 78 = 6 hours
if the snack wants to have enough bottles of water to serve all its customers, it will need:
78 x 7.5 hours = 585 bottles of water
Jan's flower garden has only daffodils and tulips
in it. There are 15 dallodils and 12 tulips. What
is the ratio of the number of tulins to the total
number of flowers in Jan's garden?
Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet
Answer:
the answer is C and D because perimeter is the sum of all sides of a figure
7 divided by c expression
Answer:
7/c
Step-by-step explanation:
7 divide by c is the same as 7/c
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
If a turkey weighs 16 pounds, how many calories does it have? (remember there are
170 calories in 4 ounces of turkey)
i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8
Answer:
14
Step-by-step explanation:
-6+x=1
8
-6+x=1×8
x=8+6
x= 14 ans
factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Answer:
A= $54144B= loss of $829.96 per weekStep-by-step explanation:
The question is incomplete, here is the detailed version:
A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and
the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much
does the factory pay out for each week?
B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above
and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .
A. The total pay per week
= (10(150)+88(85.5))*6
=(1500+7524)*6
=9024*6
=$54144
B. The factory’s total profit or loss in one week.
= 60,128.72-(54144+6(1135.78))
=60128.72-(54144+6814.68)
=60128.72-60958.68
= -829.96
The factory will make a loss of $829.96 per week
0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Complete question :
The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?
Answer:
1.54 times
Step-by-step explanation:
Given that:
Average length of Gila monster = 0.608 meter
Average length of chuckwalla = 0.395 meter
Number of times the Gila monster is than the Chuckuwalla :
Average Length of Gila monster / average Length of chuckwalla
= 0.608 meter / 0.395 meter
= 1.5392405 times
= 1.54 times
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes
Answer:
down
Step-by-step explanation:
are there options
the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle
Answer: 30, 60, 90
Step-by-step explanation: 30 * (1:2:3)
30+60+90 =180
Sum of all angles of a triangle is 180
put x^2+15x+56 and make it into a word problem!
A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?
A. 6.44 pints
B. 16.84 pints
C. 6.4 pints
D. 17 pints
Answer:
c
Step-by-step explanation:
[tex] {x}^{ 2} + 4x - 21[/tex]
I'm trying to solve for x but I dont understand and need help
Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
1) (-8,-8), (8,4)
Find the slope of the line through each pair of points
Answer: 3/4
Step-by-step explanation:
In December of 2003, the average price for a gallon of regular gas in the United States was $1.50.
b. Is the relationship between number of gallons and cost proportional? Explain.
Answer:
yes
Step-by-step explanation:
because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time
is 2.6666666667 a rational number
Answer:
No.
Step-by-step explanation:
I believe that the number above is irrational, because it repeats.
The temperature in Anchorage, Alaska was -3°C in the afternoon. After the sun went down, the temperature dropped 6 degrees. Write an equation to represent the situation. What was the temperature after the sun went down? ( 3 points )
Answer:
-9
Step-by-step explanation:
-3 - 6
-3 + -6
-9
hope this helps!
Help DUE IN 30 MINUTES
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
47°
Step-by-step explanation:
they are parallel to each other
Answer:
47
Step-by-step explanation:
47 and x are alternate interior angles