Mathematics College
Answers
Answer 1
Answer:
x = 2 , y = 4.
(2,4)
Step-by-step explanation:
Simultaneous equation:
2x - y = 10 E1
y = [tex]-\frac{1}{2}x[/tex] + 5 E2
Substitute equation 2 into equation 1 for the y value.
2x - [tex]-\frac{1}{2}x[/tex] + 5 = 10
2x - [tex]-\frac{1}{2}x[/tex] = 5
2x + [tex]\frac{1}{2}x[/tex] = 5
[tex]\frac{5}{2} x[/tex] = 5
x = 2
Substitute the x value into equation 2.
y = [tex]-\frac{1}{2}2[/tex] + 5
y = -1 + 5
y = 4
Related Questions
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(0,0)
- 10
10
(3,-9)
-10
Answers
y=-3x is the equation of the line passing through the points (0, 0) and (3, -9).
What is Slope of Line?
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find equation of line passing through (0, 0) and (3, -9)
Slope = -9-0/3
=-3
Now let us find the y intercept
0=-3(0)+b
b=0
So equation is y=-3x
Hence, y=-3x is the equation of the line passing through the points (0, 0) and (3, -9).
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
What is the term for the likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population
Answers
Answer:
Statistical significance
Step-by-step explanation:
The Statistical significance provides a link between the dependent and the independent variable. It provides us the indication that the change in the independent variable is correleated with the shift caused in the dependent variable.
Math Lab Review Work
1. Macy's is having their family and friends' sale. They are having 80% off everything. Janyla says
that she can find the sale price of an item that has a regular price of p by evaluating the
expression 0:20p. Nalia says that she can find the sale price for the same item by evaluating the
expression p-0.80p. Who is correct? (Hint: Substitute a value for p. Use the same number for
both expressions to see if you get the same answer
1 Pt
A) Neither
B) Both
C) Janyla
D) Nalia
A
B
0
D
E
Answers
Answer:
I think it C because I know that Nalia isn't correct so it's not D or B.
Unios a mi classroom , code: m4ami5i
Answers
Answer:
OK but first follow me .plz........
Question 2
Suppose you put $5,000 in a savings account with an annual interest rate of 3%
compounded monthly for three years. What is the future value of this investment?
$5,280
$5,440
$5,470
$5,415
Answers
Answer:
5470
Step-by-step explanation:
[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]
The future value of the investment in the savings account with montly compounding is $5470.
What is the future value?
When an investment is compouded monthly, it means that it increases in value every month.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 3%/12 m = number of compounding = 12 N = number of years
5000 x ( 1.0025)^36 = $5470
To learn more about future value, please check: https://brainly.com/question/18760477
is 3 quarts more than 3 pints?
Answers
Answer:
Yes, 3 quarts is more than 3 pints
Step-by-step explanation:
2 pints make up 1 quart
Which expression represents the following statement? The quotient of 16 and 4 times 7 less than 11. (4 points)
Answers
Answer:
16/ 4 (11-7)
Step-by-step explanation:
The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).
Inside a personal computer, 5 memory chips fit inside a 1-inch section. How much space do 3 memory chips take up?
A) 4/5 inch
B) 5/3 inch
C) 3/5 inch
D) 5/5 inch
Answers
The answer would be C
The answer is C (3/5 inch)
Explanation:
5 chips = 1 inch
1 chip = 1/5 inch
3 chips = 1/5 x 3 = 3/5 inch
8) Solve the system of equations by substitution
y = x + 2
3x + y = 10
Answers
Answer:
(2, 4)
Step-by-step explanation:
y = x + 2
3x + y = 10
3x + (x + 2) = 10
4x + 2 = 10
4x = 8
x = 2
y = (2) + 2
y = 4
Step-by-step explanation:
3x + y = 10
substituting the value of y = x + 2
=>3x + x+2 = 10
=>4x= 10-2
=>4x= 8
=>x= 8/4
=>x= 2
And, y= 2+2 = 4
Question on the image
Answers
Answer:
7 upon 10
ok
I Hope I helped
Create a list of steps, in order, that will solve the following equation.
(a + 5)2 -
:-1=3
Solution steps:
FIN
As
Add 1 to both sides
Multiply both sides by 4
MY
Multiply both sides by
1
4
Col
Subtract 1 from both sides
MY
Subtract 5 from both sides
Pro
Square both sides
Pro
Take the square root of both sides
Tea
Report a problem
Answers
Square both side pro tea
Question is in the image
Answers
Answer:
0.16
Step-by-step explanation:
6,357 + 18,219 + 15,205 = 39,781
6,357 ÷ 39,781 = 0.1597
rounded to nearest hundredth its 0.16
he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Answers
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
Write the rate and unit rate for each phrase given below.
1) 80 inches of snow over 10 days
Rate :
Unit Rate :
2) 3 comic books for 3 dollars
Rate :
Unit Rate :
3) 5 pounds of potatoes cost $10
Rate :
Unit Rate :
Answers
1) 80 inches of snow over 10 days
Rate: 80 inches of snow over 10 days
Unit rate: 8 inches of snow per day
2) 3 comic books for 3 dollars
Rate: 3 comic books for 3 dollars
Unit rate: $1 per comic book
3.) 5 pounds of potatoes cost $10
Rate: 5 pounds of potatoes cost $10
Unit rate: $2 for every pound of potatoes
Have a nice day!
-SpaceMarsh
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answers
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
Simplify: (5 – 2) – (18 – 25) =?
Simplify: 7 – (8 x 3)=?
Simplify: 6 - 4(6+2)=???
Simplify: –r + 7 + 3r – 9 – 2r =??
Answers
Answer:
1. 10
2. -17
3. -26
4. -2
Step-by-step explanation:
[tex]1 ). \ (5 - 2) - (18 -25) = 3 - (-7) = 3 + 7 = 10\\2). \ 7 - ( 8\times 3) = 7 - 24 = -17\\3). \ 6 - 4(6+2) = 6 - ( 4 \times 8) = 6 - 32 = -26\\4). \ -r + 7 + 3r -9 -2r = (-r +3r -2r)+(7 -9) = 0-2= -2[/tex]
Step-by-step explanation:
3-(-7)=(-4)
7-24=(-17)
I need help I don’t know the answers to these
Answers
Answer:
its 5 because of the formula
Step-by-step explanation:
Answer:
90
2
O
I can't see the last question clearly
what's the meaning of bobo?
Answers
bobo means fool in spanish
what does 迪兹坚果 mean?
Answers
Answer:
diez but 1
Step-by-step explanation:
thats the meaning of that
Pls someone pls help me with this question pls
Answers
Answer:
12
Step-by-step explanation:
the answer is 12 i think
Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.
Answers
Answer:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
Step-by-step explanation:
Given
[tex]A \to Apple[/tex]
[tex]B \to Banana[/tex]
[tex]C \to Cherry[/tex]
From the rows, the equation is:
[tex]B + 2A =12[/tex] --- (1)
[tex]2B + C = 13[/tex] --- (2)
[tex]A + 2C = 14[/tex] --- (3)
Make A the subject in: [tex]A + 2C = 14[/tex]
[tex]A = 14 -2C[/tex]
Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]
[tex]B + 2(14 - 2C ) = 12[/tex]
[tex]B + 28 - 4C = 12[/tex]
Make B the subject
[tex]B = 4C - 28 +12[/tex]
[tex]B = 4C -16[/tex]
Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]
[tex]2(4C - 16) + C = 13[/tex]
[tex]8C - 32 + C = 13[/tex]
Collect like terms
[tex]8C + C = 13+32[/tex]
[tex]9C = 45[/tex]
Divide by 9
[tex]C = 5[/tex]
Recall that:
[tex]B = 4C -16[/tex]
[tex]B =4*5-16[/tex]
[tex]B =20-16[/tex]
[tex]B =4[/tex]
Recall that:
[tex]A = 14 -2C[/tex]
[tex]A= 14 -2*5[/tex]
[tex]A= 14 -10[/tex]
[tex]A =4[/tex]
Hence:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
Need help *URGENT*
7th grade
Vertical Angles
Answers
a) 52
b) 100
c) 28
d) 28
e) 52
f) 152
g) 80
h) 128
i) 128
j) 80
Could someone help me with number 19
Answers
Solving #19
Take y-values from the graph
a) (g·f)(-1) = g(f(-1)) = g(1) = 4b) (g·f)(6) = g(f(6)) = g(2) = 2c) (f·g)(6) = f(g(6)) = f(5) = 1d) (f·g)(4) = f(g(4)) = f(2) = -2
a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the start of the tournament, which equation models the number of players left after 6 rounds
Answers
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
Step-by-step explanation:
you would do 64/1 • 1/4 to get 16 so every round 16 people would leave.
What is 5x5 answer for a cookie
Answers
Answer:
25
Step-by-step explanation:
26 because 5 5 times is equivalent to 26
QUESTION 2
Find an equation of the line containing the given pair of points
(-4.0) and (-9, 3)
3 12
y = 3x-5
4 12
y = -3%-5
4. 12
- -
3 12
y=-3%-5
QUESTION 3
Answers
Is there more to the question
Over the last three evenings, Nicole received a total of 117 calls at the call center. The second evening, she received 8 fewer calls than the first evening. The third evening she received three times as many cars as the first evening. How many calls did she receive each evening.
Answers
Answer:
1:25
2:17
3:75
Step-by-step explanation:
Help me find the missing number #1-12 please thank you
Answers
Answer:
Step-by-step explanation:
1) 5 2)20 3)3 4) 12
5) 9 6)18 7) 3 8) 20
9) 27 10)15 11)5 12)18
㏒1/2(x²-5x+7)=0 hihihihihihih
Answers
Answer:
?????
Step-by-step explanation:
????
asaan ang sasagutan
The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.
Answers
Answer:
512
Step-by-step explanation:
To effectively answer the question, let us calculate the value of m. This can be obtained as follow:
m, (m² + 4), 16m
1st term (T₁) = m
2nd term (T₂) = m² + 4
3rd term (T₃) = 16m
Common ratio = T₂/T₁ = T₃/T₂
(m² + 4) / m = 16m / (m² + 4)
Cross multiply
(m² + 4)(m² + 4) = m × 16m
(m² + 4)² = 16m²
Take the square root of both side
√[(m² + 4)²] = √(16m²)
m² + 4 = 4m
Rearrange
m² – 4m + 4 = 0
Solving by Factorisation
m² – 2m – 2m + 4 = 0
m(m – 2) – 2(m – 2) = 0
(m – 2)(m – 2) = 0
(m – 2)² = 0
Take the square root of both side
m – 2 = 0
m = 2
Thus,
1st term (T₁) = m = 2
2nd term (T₂) = m² + 4 = 2² + 4 = 8
3rd term (T₃) = 16m = 16 × 2 = 32
The sequence => m, (m² + 4), 16m
Becomes
2, 8, 32
Finally, we shall determine the 5th term. This can be obtained as follow:
1st term (a) = 2
Common ratio (r) = 2nd / 1st = 8/2 = 4
5th term (T₅) =?
T₅ = ar⁴
T₅ = 2 × (4)⁴
T₅ = 2 × 256
T₅ = 512
Therefore, the 5th term is 512