Answers
2x+3y=4
A=2 , B=3 , C=4
step by step:
2x+3y=2 the slope is -2/3
3y=-2x+2
y=-2/3 x+2
parallel line have the same slope: -2/3
the equation of parallel line that passes through point (2,0) y=mx+b
find b
2(2)+3(0)=b
4+0=b
b=4
the equation will be
2x+3y=4
to check : graph the equations:
What is the radical equivalent for 197^7/8?
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
Please help
A) y< 2x+4
B) y< 1/2x+3
C)y> 1/2x+3
D) y> 2x+3
Answer:
B
Step-by-step explanation:
if it is shaded under than it is <
the slope is 1/2x so that is the answer
factorize
2ab+abk-2m-mk
Answer:
=2ab +abk -2m- mk
= ab(2+k) -m(2+k)
=(2+k)(ab-m)
Step-by-step explanation:
A rectangle has a perimeter of 26 feet. Twice its length is one foot more than three times its width (w). What is
the length of the rectangle, in Thet?
Answer:
The length of the rectangle is 13
Step-by-step explanation:
13 times 2 its equal 26
Give an actual answer please
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?
(7x + 2) feet
(2x + 7) feet
(2x − 7) feet
(7x − 2) feet
Hello There!!
Your best answer choice will be is A.
(2x + 7) feet.
Because, All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.
Hope This Helps!!
Answer:
(2x+7)
Step-by-step explanation:
4x^2 + 28x + 49
This is a perfect square trimonial
a^2 + 2ab + b^2 = (a+b)^2
(2x)^2 + 2 * 2x*7 + 7^2
( 2x+7)^2
How many minutes will it take a caterpillar to go seven feet if it travels 24 inches per minute? To travel seven feet, it will take the caterpillar a0 minutes.
Answer:
3 and and half minutes--> 7ft
Step-by-step explanation:
If it travels 24 inches aka 2ft per minute
then it has to travel 12 inches aka 1ft in 30secs
SO
3mins and 30secs to travel 7ft
24inches--- 2ft---- per minute
4ft--- 2 mins
6ft---- 3mins
7ft--- 3minutes and 30 seconds
Solve for x. 23x +2=15x+48x+6
Answer:
[tex]x = - \frac{1}{10} [/tex]Step-by-step explanation:
23x +2 = 15x+48x+6
To solve for x group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
23x - 15x - 48x = 6 - 2
Simplify
- 40x = 4
Divide both sides by -40
[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]We have the final answer as
[tex]x = - \frac{1}{10} [/tex]Hope this helps you
Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
3(b+2c)3(b+2c)3, left parenthesis, b, plus, 2, c, right parenthesis
(Choice B)
B
(b+3c)+(b+3c)(b+3c)+(b+3c)left parenthesis, b, plus, 3, c, right parenthesis, plus, left parenthesis, b, plus, 3, c, right parenthesis
(Choice C)
C
2(b)+2(3c)2(b)+2(3c)2,
Answer:
B. (b+3c)+(b+3c) C. 2(b)+2(3c)Step-by-step explanation:
Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;
Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.
= 2(b+3c)
= 2(b)+ 2(3c)
= 2b +2*3*c
= 2b +6c
It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.
Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c
Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 35 and, in a separate drawing, you must also select the correct single number between 1 and 45. Find the probability of winning the jackpot.
Answer:
1 / 14608440
Step-by-step explanation:
Given the following :
Winner has to select the five correct numbers between 1 and 35
Then, a single correct number between 1 and 45
Step1:
Number of ways to select 5 corre t numbers between 1 and 35; selecting 5 things from a total of 35 = 35C5
nCr = n! ÷ (n-r)!r!
35C5 = 35! ÷ (35-5)!5!
35C5 = 35! ÷ (30)!5!
= (35 * 34 * 33 * 32 * 31) / (5 * 4 * 3 * 2 * 1) = 324632 ways
Then find number of ways of selecting 1 correct number between 1 and 45:
45C1
45C1 = 45! ÷ (45-1)!1!
45C1 = 45! ÷ (44)!1!
45C1 = 45 ÷ 1 = 45
35C5 * 45C1 = 324632 * 45 = 14608440
Therefore, probability of winning the jackpot :
Required outcome / Total possible outcomes
= 1 / 14608440
There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.
Answer:
4 bus is required for field trip to carry 200 passengers.
Step-by-step explanation:
Total no . of passengers = 200
let the be x bus required to carry 200 passengers
capacity of 1 bus = 60 passengers
capacity of x bus = 60*x passengers = 60x passengers
Thus,
60x = 200
x = 200/60 = 3 2/3
thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4
Thus, 4 bus is required for field trip to carry 200 passenger.
Solve.
-7(2z + 4) = 21
Answer:
-7/2
Step-by-step explanation:
cuz thats right
PLEASE - Select the correct answer.
Answer:
D
Step-by-step explanation:
2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
If f(x)= 5x+4 and g(x)= -2+1...... 1) f(6) + g(-8) = ? 2) g(4)= ? 3) f(-2)= ? PLZ PLZ PLZ HELP ME I AM SOOOOO CONFUSED!!!!!!!!!!!
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=5x+4\text{ and } g(x)=-2x+1[/tex]
1)
First, find the values of each function:
[tex]f(x)=5x+4\\f(6)=5(6)+4\\f(6)=30+4=34[/tex]
[tex]g(x)=-2x+1\\g(-8)=-2(-8)+1\\g(-8)=16+1=17[/tex]
Therefore:
[tex]f(6)+g(-8)\\=(34)+(17)=51[/tex]
2)
Plug in the number into the function:
[tex]g(x)=-2x+1\\g(4)=-2(4)+1=-8+1=-7[/tex]
3)
Like the last one:
[tex]f(x)=5x+4\\f(-2)=5(-2)+4=-10+4=-6[/tex]
67) Interest on a Loan: Jeff Hubbard borrowed $800 from his brother for 2 years. At the end of 2 years, he repaid
the $800 plus $128 in interest. What simple interest rate did he pay?
Answer:
0.08%
Step-by-step explanation:
2 years,
the $800 plus $128 in interest. What simple interest rate did he pay?
128/2
$64 a year
64/800=0.08
so 0.08%
Increase 150 by 120%
O A. 330
OB. 180
O c. 300
OD. 200
Answer:
C
Step-by-step explanation:
Find 120% of 150
1.2 x 150 = 180
Increase to 150
180 + 150 = 330
Hope that helped!!! k
HELP! answer if you can !!
Answer:
The formula for ABC Triangle
(AB×AC)/2
= (4.7×2.4)/
= 11,28/2
= 5,64 in²
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 60 mph. The average speed on the way back was 36 mph. How many hours did the trip there take?
Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and
[tex]v_1 = 60\ mph[/tex]
Sheyna drives back from the lake with average speed of 36 mph
[tex]v_2 = 36\ mph[/tex]
It took 2 hours less time to get there than it did to get back.
Let [tex]t_1[/tex] be the time taken to drive to lake.
Let [tex]t_2[/tex] be the time taken to drive back from lake.
[tex]t_2-t_1 = 2[/tex] hrs ..... (1)
To find:
Total time taken = ?
[tex]t_1+t_2 = ?[/tex]
Solution:
Let D be the distance to lake.
Formula for time is given as:
[tex]Time =\dfrac{Distance}{Speed }[/tex]
[tex]t_1 = \dfrac{D}{60}\ hrs[/tex]
[tex]t_2 = \dfrac{D}{36}\ hrs[/tex]
Putting in equation (1):
[tex]\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles[/tex]
So,
[tex]t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs[/tex]
[tex]t_2 = \dfrac{180}{36}\ hrs = 5\ hrs[/tex]
So, the answer is:
[tex]t_1+t_2 = \bold{8\ hrs}[/tex]
is the measure of how much the values in a data set vary, or deviate, from the mean; it tells us how spread out the data is from the mean.
Answer:
Standard deviation
Step-by-step explanation:
The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant. (1, 3) m = 2
Answer:
y= 2x+1
hope it helps...........
If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1
Pls answer it ASAP
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]
[tex]y=k(xz)[/tex] (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]
Required equation: [tex]y=2(xz)[/tex] [Put value of k in (i)]
Now put x=2 and z = 1, then we get
[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]
Hence, when x=2 and z = 1, then the value of y =4.
determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)
Answer:the pairs are not a quadratic eqation
Step-by-step explanation:
The differences between the differences of the y value are not consistent
The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
The set of ordered pairs
(5,7),(7,11),(9,14),(11,18)
We have to determine whether the (5,7),(7,11),(9,14),(11,18) is quadratic function or not.
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
The difference between the y values is not same
11-7=4
14-11=3
18-14=4
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
To learn more on Functions click:
https://brainly.com/question/21145944
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1. Find the slope of a line passing through points (0,0) and (4,5)
o 4/5
5/4
4/9
5/9
Option 5
Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)
m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]
Answer:
The answer is 5/4Step-by-step explanation:
Slope of a line is given by
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]where
m is the slope and
( x1 , y1) and (x2 , y2) are the points of the line
Slope of the line between the points
(0,0) and (4,5) is
[tex]m = \frac{5 - 0}{4 - 0} = \frac{5}{4} [/tex]Hope this helps you
3. When Antoine or Adriane is halfway to the top of the Ferris wheel, what is his or her elevation? (Use the
diameter of the Ferris wheel to determine the correct vertical shift for your modeling function.) (1 point)
Answer: 70
Step-by-step explanation:
Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.
The his or her elevation should be 70.
Calculation of the elevation:Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10
So, the elevation should be
= 60 + 10
= 70
Therefore, The his or her elevation should be 70.
Learn more about elevation here: https://brainly.com/question/16616666
MP Find the Error Katrina states that
3.5 X 104 is greater than 2.1 x 106 because
3.5 > 2.1. Explain her mistake and correct it.
Answer:
3.5 X 10^4 < 2.1 x 10^6
Step-by-step explanation:
3.5 X 10^4 < 2.1 x 10^6
The first thing we look at is the exponent
10 ^4 is less than 10^6
10000 < 1000000
If the exponents are the same, then we look at the numbers out front
what is the angle taken in anticlockwise direction between (1) North-east and south- west
Answer:
Step-by-step explanation:
North-east has a bearing of 45 degrees
South-west has a bearing of 225 degrees.
Taken anticlockwise,
angle = south-west - north-east
= (225-45)
= 180 degrees
answer
hope this helps....
Apply
48. Think About a Plan A lumberjack cuts 7 pieces of equal length
from a log, as shown at the right. What is the change in the log's
length after 7 cuts?
• What operation can you use to find the answer?
• Will your answer be a positive value or a negative
value? How do you know?
49. Farmer's Market A farmer has 120 bushels of beans for sale at a farmer's market.
dau what is the change in the
Answer:
you can use a median method of counting and eliminating each side being each cut but the difference would it would be an equal number as the central off number cut divides one piece of wood into an even number.
Another operation is subtracting the cuts from the pieces you have 7 - 6 = 1 whole. Meaning the answer is correct if you are left with 1
If the cuts were even then you would have an a number of pieces that amount to an odd number.
So with 7 they are even and positive.
With counter checking they are positive as you always start with one piece of wood.
Which expression is equivalent 6+7n+4+8n?
Answer: 5(2+3n)
Step-by-step explanation:
Answer:
15n + 10 should be your answer.
Step-by-step explanation:
Convert 5280 vodas to pivos. Show three significant figures for your answer.
1 pivo = 3.1416 molokos
1 moloko = 2.71828 vodas
(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos
(because 5280 has 3 significant digits)