Answer:
b = 3
Step-by-step explanation:
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
First, distribute 3 to all terms within the parenthesis:
3(3x + 1) =
3 * 3x = 9x
3 * 1 = 3
9x + b = 9x + 3
Isolate the variable, b. Subtract 9x from both sides:
9x (-9x) + b = 9x (-9x) + 3
b = 3
3 is your value for b.
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A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver
Answer:
The people can seat themselves in 20160 different ways.
Step-by-step explanation:
Arrangements of n elements:
The number of arrangements of n elements is given by the following formula:
[tex]A_{n} = n![/tex]
In this question:
For the first seat, that is, the driver seat, 4 possible people can sit.
For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So
[tex]T = 4*7! = 4*5040 = 20160[/tex]
The people can seat themselves in 20160 different ways.
A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?
Please help
For 20 points
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2
find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
m = 1
Step-by-step explanation:
(2,1) and (8,7)
m = (y2-y1)/(x2-x1)
m=(7-1)/(8-2)
m=6/6
m = 1
Help nnananannanannanananannannanansnnsnsnnsnsnsnsnnsns
Answer:
2
Step-by-step explanation:
The two x's end up being -4 and 6, so added together that's 2
Find the distance, c, between (0, –4)
and (1, 5)
on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d ≈ 9.05Steps:
d = √( (1-0)² + (5-(-4)² )
d = √( 1² + (5+4)² )
d = √( 1 + 9² )
d = √( 1 + 81 )
d = √82
d ≈ 9.05I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
Write the equation for a line with a slope of 1/3 that passes through the point 6,12
Answer:
y-12=1/3(x-6)
Step-by-step explanation:
Using the slope intercept form:
[tex]y - yo = m(x - xo) [/tex]
We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.
As part of a school project, Tim and Jesse decide to build a birdhouse. Tim plans to house bluebirds in his birdhouse and Jesse hopes to attract wrens. Tim decides to make the floor of his birdhouse a square that measures
inches on all sides. The piece of lumber that he uses for the floor is
inches wide. How much will he need to cut off of the width of the board to make the floor?
A .3 1/4
B. 2 1/4
C.3 1/2
D. 2 3/4
Answer:
The answer is 2 3/4
Step-by-step explanation:
Which graph represents the function f(x)=0•2^x+3
Step-by-step explanation:
Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!
Type in desmos graphing calculator.
the manager of a school radio station is conducting a survey she wants to find out which type of music introvert how would the manager most likely get a random sample that represents the school population
Answer:
type of music students prefer. How would the manager most likely get a random sample
that represents the school population?
Step-by-step explanation:
I may or may not have given my explanation in my answer 0.0
Is this a rational number
Answer:
Note that it is not a perfectly elastic result so it is irrational
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:
Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)
2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0
Determine the optimal solution using LP software. the optimal achieved is
X1=
X2=
X3=
Answer:
Step-by-step explanation:
[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]
[tex]2X1 + 1X2 + 7X3 <= 96[/tex]
[tex]8X1 + 4X2 + 1X3 <= 90[/tex]
[tex]X1 > = 0[/tex]
[tex]X2 >= 0[/tex]
[tex]X3 >=0[/tex]
[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]
Lamar buys 0.8 gallon of gas to use in the lawnmower the price of the gas is 2.95$ per gallon how much does Lamar play for the gas
Answer:$2.36
Step-by-step explanation:
2.95 x .8 = 2.36
X2 + 8x + y2 - 2y =64
Consider all the points in the plane that solve the equation [tex]$x^2 + 2y^2 = 16.$[/tex] Find the maximum value of the product [tex]xy[/tex] on this graph.
(This graph is an example of an "ellipse".)
Answer:
that hard....
Step-by-step explanation:
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42
Answer:
The answer is answer D, x=42.
Step-by-step explanation:
To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.
The vertices of APQR are P(-3, 8) Q(-6,-4), and R(1, 1). If you reflect APQR across the x-axis, what will be the coordinates of the vertices of the image AP'Q'R'?
Answer:(-3,-8),(-6,4),(1,-1)
Step-by-step explanation:
Given
Vertices of the triangle are
[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]
Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign
[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5
Step-by-step explanation:
Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.
We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?
Pls hurry I need an instant answer ASAP! Thank you
Answer:
A= -2
Step-by-step explanation:
Hope I helped!! Negitive 2
Oi please help me it’s to hard
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.
Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
What is the value of x in this equation: 4x+5=3x+4
the pounds p of the flour and how many cakes c you can make
Answer:
How many pounds of flour do you have and how many pounds of flour it takes to make a cake?
Step-by-step explanation:
452 x 12 _____ = 452
fill in the blank
Answer:
38 remander 8
Step-by-step explanation: