Answers
Answer:
a x=-3
Step-by-step explanation:
The equation x = 3 represents a vertical line and not a mapping from values of x to values of y. For one thing, it fails the vertical line test for functions at the value x = 3.
Related Questions
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 football game tickets were purchased for $55.75, what are the costs of basketball game tickets and football game tickets?
Answers
Answer:
basketball game tickets: $7.25;
football game tickets: $6.50
Step-by-step explanation:
Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.
Amount for basketball ticket plus amount for football tickets equal the total cost.
4B + 5F = 61.50
5B + 3F = 55.75
Choose one equation in the system to solve for a variable.
Solve the first equation for F.
4B + 5F = 61.50
5F = −4B + 61.50 Subtract 4B from both sides.
F = −0.8B + 12.30 Divide both sides by 5.
Substitute the expression −0.8B + 12.30 for F in the other equation.
5B + 3F = 55.75
5B + 3(−0.8B + 12.30) = 55.75 Substitute.
5B − 2.4B + 36.90 = 55.75 Distribute.
2.6B + 36.90 = 55.75 Combine like terms.
2.6B = 18.85 Subtract 36.90 from both sides.
B = 7.25 Divide both sides by 2.6.
Substitute the B-value into one of the original equations to solve for F.
4B + 5F = 61.50
4(7.25) + 5F = 61.50 Substitute.
29 + 5F = 61.50 Multiply.
5F = 32.50 Subtract 29 from both sides.
F = 6.50 Divide both sides by 5.
The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.
The cost of basketball game tickets is $7.15 and football game ticket is $6.5
Let the cost of a basketball game ticket be x
Let the cost of football game ticket be y
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;
4x + 5y = 61.50 ..................1
If 5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;
5x + 3y = 55.75 ...........................2
Solving 1 and 2 simultaneously
4x + 5y = 61.50 ..................1 * 3
5x + 3y = 55.75 ...........................2 * 5
_________________________________
12x + 15y = 184.5
25x + 15y = 278.75
Subtract
12x - 25x = 184.5 - 278.75
-13x = -94.25
x = 7.25
Substitute x = 7.25 into equation 1:
From 1:
4x + 5y = 61.50
4(7.25) + 5y = 61.50
29 + 5y = 61.50
5y = 61.50 -29
5y = 32.5
y = 32,5/5
y = 6.5
Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5
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the legs of an isosceles triangle have lengths 3x-1 and 2x+4. The base has length 3x+5. Whatis the length of the base?
Answers
Answer:
3x+5
Step-by-step explanation:
The base has length 3x+5. You answered your own question darling
+1. +1
3x=2x+5
-2x -2x
X=5
To find the base it is
3x+5
So 3(5)+5
=15+5
=20
Hope it helps
can someone help me with this? PROBABILITY QUESTION
A psychologist plans an experiment in which subjects draw an object based on a verbal description. For each trial, one person draws, one reads the description, and one records how long it takes to get a successful drawing.
From a group of 8 people, in how many ways can the psychologist select a person to draw, a person to read, and a person to record time?
Answers
Answer:
336
Step-by-step explanation:
just took the test
The correct answer is 336.
How many ways can the psychologist select a person to draw, a person to read, and a person to record time?
By using the arrangement calculation formula:
⇒ [tex]A^{3}[/tex][tex]^{8}[/tex]
⇒ 8 × 7 × 6
⇒ 336
The correct answer is 336.
How do you calculate an arrangement?Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
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please answer quick !!! The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below. If ∠1 measures 135°, what is the measure of ∠6? 90° 135° 45° 65°
Answers
Answer:
45
Step-by-step explanation:
At 100 Fahrenheit a certian insect Chirps at a rate of 94 times per minute and at 103 Fahrenheit they trip at 112 times per minute write an equation in slope intercept form that represents the situation
Answers
Answer:
y=6x-506
Step-by-step explanation:
Start by finding the slope.
Let your x-axis be temperature and you y-axis be chirps per minute.
This leaves you with your two points to find slope.
The first point would be (100,94) and your second point would be (103,112).
From here we can do the standard slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].
[tex]\frac{112-94}{103-100}[/tex]=[tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] Is your slope for the line which can be simplified to 6.
Next find your y-intercept. This can be found by moving around your
y=mx+b equation.
y-mx=b
Pick a point to substitute into the equation. Ill use (103, 112).
[tex]112-6(103)=b[/tex]
[tex]112-618=b[/tex]
[tex]-506=b[/tex]
[tex]b=-506[/tex]
Knowing slope and the y-intercept we can write the slope intercept equation
y=6x-506
Describe the transformation of y=-2/x
Answers
Answer:
This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half
Rise over run pleaseee???
Answers
Rise = -4
Run = 3
Rise/run = -4/3
Answer:
-4/3
Step-by-step explanation:
Rise: 4
Run:3
And, this is negative because any line slanted downward right (pointing to the left) indicates it is negative.
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population decrease from 2015 to 2020, to the nearest 100 people?
Answers
Answer:
169,000 people
Step-by-step explanation:
increase from 2010-2015:
168000/100 = 1680 = 1%
1680 x 7 = 11,760 people
population at 2015 = 168000+11760 = 179,760
decrease from 2015-2020:
179760/100 = 1797.6 = 1%
1797.6 x 6 = 10,785.6 people
population at 2020 = 179760-10787.6 = 168,974.4 people
rounded to the nearest 100 = 169,000 people
A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile. Write an equation relating
m, the number of miles driven, if the total cost for a one-day rental was $131.
Part A. Write an equation relating m , the number of miles driven, if the total cost for a one-day rental was $131.
Part B. Find the solution to the equation you created in the previous question and explain what the solution means in this situation.
Answers
The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160
According to the question;
The agency charges $75 per day, which includes 100 miles.Additionally, the agency charges $0.35 per mile for each additional mile;a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;
$0.35m + $75 = $131.b) To find the solution to the equation;
$0.35m = $131 - $75$0.35m = $56m = $56/$0.35m = 160.
The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.
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please help me........
Answers
the jenkins family drinks 3/4 of a gallon of orange juice every 3 days. how much orange juice do they drink per day?
Answers
Answer:
1/4 gallon per day
Step-by-step explanation:
Find the 'unit rate:' the measure of juice drunken daily. To do this, divide '3/4 gallon' by '3 days:"
3/4 gallon
------------------- = 1/4 gallon per day
3 days
Help help help please help
Answers
[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]
Cancel the fraction to simplify it.[tex]8 {}^{2} \times 8 {}^{3} [/tex]
Calculate the product[tex]8 {}^{5} [/tex]
Hope it helps...If the domain of a function is [1,10), select a point that could be included within the function.
(0,5)
(1,4)
(10,3)
(12,0)
Answers
Explanation: The domain looks at the x coordinates and (1,4) is the only x coordinate in the range given (due to the bracket)
Answer:
1,4
Step-by-step explanation:
trust me.........................well I am a stranger but trust I guess
Express this number in standard form.
5.301 \times 10^{7} = {?}5.301×10
7
=
Answers
Answer:
53010000
Step-by-step explanation:
10x+5 is greater than or equal to 2x-3
Answers
Answer:
x ≥ - 1
Step-by-step explanation:
10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )
8x + 5 ≥ - 3 ( subtract 5 from both sides )
8x ≥ - 8 ( divide both sides by 8 )
x ≥ - 1
w + 2x + 1 = x – 2w +26
Answers
please mark has brainiest if helped!
please show work tyvm 4+3x6x(4-3³)²
Answers
Answer:
9526
Step-by-step explanation:
simplify 3^3+27
4+3*6(4-27)^2
simplify: 4-27+ -23
4+3*6(-23)^2
since the power of 2 is even it will be a positive
4+3*6*23^2
simplify: 23^2 to 529
4+3*6*529
simplify 3*6 to 18
4+18*529
then simplify 18*529 to 4+9522
and 4+9522= 9526
What is the value of the 3 in this number?
5,400,387,214
is the value of this number.
Answers
Answer:
The value of 3 is in the three-hundred thousands place
300,000
Use the distributive property to write an expression equivalent to 6(53)
Answers
Answer:
here the answer it's 16.
what is the behavior?
Answers
Answer:
as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞ - Second option
Step-by-step explanation:
If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.
PLEASE HELP
Given f(x) = x^2 – 5x + k, and the remainder when f(x) is
divided by x - 7 is 34, then what is the value of k?
Answers
Step-by-step explanation:
f(7) = 34
7² -5(7) +k = 34
49-35+k =34
14+k = 34
k = 34-14
k = 20
__________
[tex] \: [/tex]
f(x) = x² - 5x + k
f(7) = 34
Soo :
f(7) = 34
(7)² - 5(7) + k = 34
49 - 35 + k = 34
14 + k = 34
k = 34 - 14
k = 20✔
If l || m, find the value of each missing variable(s).
Answers
A collection of 40 dimes and nickels
is worth $2.90. How many nickels are
there? (Hint: In your equation, use
290¢ instead of $2.90.)
Answers
9514 1404 393
Answer:
22 nickels18 dimesStep-by-step explanation:
Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...
5(40 -d) +10(d) = 290
200 +5d = 290
5d = 90
d = 18
40 -d = 22
There are 22 nickels (and 18 dimes).
_____
Additional comment
If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.
phil has 3 mangoes he cuts 1 and gives 3\5 to his little brother how much did he keep for him self
Answers
Answer:
2 2/5.
Step-by-step explanation:
simplify (3a^4b^3)^3
Answers
Answer:
Step-by-step explanation:
(3a^4b^3)^3
=3^3a^4*3b^3*3
=27a^12b^9
Answer:
27(a^12)(b^9)
Step-by-step explanation:
Can be reorganized to (3^3)((a^4)^3)((b^3)^3)
27(a^12)(b^9)
HELP ASAP
Briefly describe the relationship between the construction of a robotic arm and the stability of the robot.
Answers
Answer:
If the same tech in the robotic arm is used throughout the body then depending on whether the arm tech is good the stability of the body will be good or bad.
given m || n, calculate the value of x
Answers
Answer: x = 41
Step-by-step explanation:
4x - 68 = 2x + 14 [since alternate interior angles are equal]
4x - 2x = 14 + 68
2x = 82
x = 41
Answer:
x=41
Step-by-step explanation:
this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.
4x-68=2x+14
2x-68=14 <- subtract 2x from both sides
2x=82 <- add 68 to both sides
x=41 <- divide both sides by 2
check:
4(41)-68=96
2(41)+14=96
please someone help me. Giving branliest!
Answers
Answer:
K would be 8
Step-by-step explanation:
8-2 = 6
6/3 = 2
Which of the following equations represents a line that passes through the points (-10, -9)(−10,−9) and (10,-1)(10,−1)?
I. y+1=-\frac{2}{5}(x-10)y+1=−
5
2
(x−10)
II. 2x-5y=252x−5y=25
Answers
Answer:
y = 2/5x - 5
Step-by-step explanation:
(-10,-9) and (10,-1)
Slope: (-1 - - 9) / ( 10 - - 10)
Slope = 8/20 = 2/5
b = -9 - (2/5(10)
b = -5
The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (-1 - - 9) / ( 10 - - 10)
m = Slope = 8/20 = 2/5
Now intercept;
b = -9 - (2/5(10)
b = -5
Now Write the equation as
y = 2/5x - 5
Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5
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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
A. 5y = 45.00; y = 9.00
Step-by-step explanation:
Step 1:
There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.
So, the amount of money the friends contributed is 5y.
The total amount of all the friends' money put together is given; $45.00.
So 5y = 45.00
______________
Step 2:
Divide 45.00 by 5 to find out how much each of the five friends contributed individually;
45.00 ÷ 5 = 9.00
So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.
y = 9.00
______________
Model it:
5y = 45.00; y = 9.00
______________
Hope this helps! :)
