I think that is line 5
Answer:
Lines 3 & 4
Step-by-step explanation: To find slope you calculate rise/run.
Line 1: 6/2= 3
Line 2: 6/3= 2
Line 3: 6/4= 1.5
Line 4: 6/5 = 1.2
Line 5: 6/6= 1
Lines 3 and 4 are the only two that have a slope that fall between 1 and 2. Notice it said greater than and less than but not equal to.
Factor completely 25x^2-36
Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6
(5x)^2 - 6^2
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
(5x + 6)(5x - 6)
To factor 25x^2-36 completely, we use the difference of squares formula which gives us the factorization (5x + 6)(5x - 6).
Explanation:To factor the expression 25x^2-36 completely, we can use the difference of squares formula. This formula states that a^2 - b^2 can be factored as (a + b)(a - b). In this case, our 'a' value is 5x and our 'b' value is 6. So we can factor 25x^2-36 as (5x + 6)(5x - 6).
Learn more about Factoring here:https://brainly.com/question/33624529
#SPJ3
express the following in factors; (n+1)!+n!
Answer:
n! (n + 2).
Step-by-step explanation:
(n + 1)! = (n + 1) * n * (n - 1) * (n - 2) .............. * 1.
n! = n * (n - 1) * (n - 2) .............. * 1
- so (n + 1)! = (n + 1) * n!
and (n + 1)! + n!
= n!( n + 1 + 1)
= n! (n + 2).
Which expression is equivalent to
Answer:
j^13
Step-by-step explanation:
j j j j j j j j j j j j j j
There are 13 j's so we raise j to the 13 power
j^13
Answer:
c
Step-by-step explanation:
lol.................................
Help me answer this question:(
Answer: first option.
Step-by-step explanation:
To solve this problem you must plug the function h(x) into the function g(x):
[tex]g(x)=\sqrt{(2x-8)-4}[/tex]
Now you must simplify by adding like terms, as following:
[tex]g(h(x))=\sqrt{2x-12}[/tex]
Substitute x=10 into the fucntion. Therefore, you obtain the following result:
[tex]g(h(10))=\sqrt{2(10)-12}[/tex]
[tex]g(h(10))=2\sqrt{2}[/tex]
Answer:
The correct answer is first option 2√2
Step-by-step explanation:
It is given that, g(x) = √(x - 4) and h(x) = 2x - 8
To find g(h(x))
We have g(x) = √(x - 4) and h(x) = 2x - 8
h(x) = 2x - 8
g(h(x)) = √((2x - 8)- 4) = √(2x - 12)
To find the value of g(h(10))
g(h(x)) = √(2x - 12)
g(h(10)) = √(2*10 - 12) =√(20 -12) =√8 = 2√2
Therefore the correct answer is first option 2√2
Consider the equation 5 + x = n. What must be true about any value of x if n is a negative number?
If n is negative, we have
[tex] 5+x = n<0[/tex]
So, in particular, we have
[tex]5+x<0 \iff x<-5[/tex]
So, x must be smaller than -5
The true statement about the equation [tex]5+x=n[/tex] is that [tex]5+x=n < 0[/tex] and [tex]5+x=x < -5[/tex].
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’,
If n is negative, we have
[tex]5+x=n < 0[/tex]
So, in particular, we have
[tex]5+x=x < -5[/tex]
So, x must be smaller than -5
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
Rolling two sixes in a row on a number cube. Dependent Or Independent?
Rolling a six on a die twice in a row is an example of independent events, as the outcome of one roll doesn't affect the outcome of the other, confirmed by applying the Multiplication Rule for independent events in probability theory.
Explanation:The question is asking whether rolling a six on a die twice in a row is considered a dependent or independent event. In probability theory, two events are considered independent if the occurrence of one does not affect the outcome of the other. In this case, rolling a die twice, the outcome of the first roll does not affect the outcome of the second roll. This is because each roll is a separate event and the die does not have a 'memory' of the previous roll.
Using the Multiplication Rule for independent events, we can confirm this. The Multiplication Rule states that the probability of two independent events happening together (A and B) is the product of their individual probabilities (P(A AND B) = P(A) * P(B)).
Applying this rule to our situation, the probability of rolling a six (A) and then rolling another six (B) is the product of the probabilities of each of these events happening on their own. This is (1/6)*(1/6) = 1/36. The result confirms that the two rolls are, indeed, independent events.
Learn more about Probability of Independent Events here:https://brainly.com/question/30635387
#SPJ3
Point: (-3, 7); Slope: 4
Answer:
y - 7 = 4(x + 3)
Step-by-step explanation:
Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.
[tex]y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)[/tex]
Help!!! Which equation represents a linear function?
Equation 1: y=2^2 +1
Equation 2: y^2 = 3x + 1
Equation 3: y=5x - 1
Equation 4: y= 4x^4 - 1
(Can only be one!!!)
Step-by-step explanation:
y=5x-1
Because there is no exponent this is linear and not exponential
Complete the statement. 469.1mg=?g
I believe that would be 0.4691g
Is 0.166 rational or irrational?
Answer:
the Answer is irrational
Step-by-step explanation:
The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of the stock be $50? Round your answer to the nearest tenth of a year
Answer:
After 45.7 years
Step-by-step explanation:
∵ r = 1/2% per year
∵ P0 = $40
∵ Pn = $50
∵ Pn = P0 ( 1 + r/100)^n-1
∵ P0 is initial value , Pn is the value after n years , is the rate
∴ 50 = 40 (1 + 0.5/100)^n-1
∴ 50/40 = (1.005)^n-1
∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides
∴ ln(1.25) = (n-1)ln(1.005)
∴ n - 1 = ln(1.25)/ln(1.005)
∴ n = ln(1.25)/ln(1.005) + 1 = 45.7 years
Find the value of X to the nearest tenth.
Answer options: 10.5, 9.9, 10.1, 8.9.
Answer:
9.9
Step-by-step explanation:
Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;
x^2 = 18^2 - 15^2
x^2 = 99
x = sqrt(99) = 9.9
Answer:
9.9
Step-by-step explanation:
To find the value of x, we use the Pythagorean Theorem.
[tex]a^{2}+b^{2}=c^{2}[/tex]
a = x
b = 15
c = 18
[tex]x^{2}+15^{2}=18^{2}[/tex]
[tex]x^{2} + 225 = 324[/tex]
[tex]x^{2}=342-225[/tex]
[tex]x^{2}=99[/tex]
[tex]\sqrt{x^{2} }=\sqrt{99}[/tex]
[tex]x=9.95[/tex]
help please and thank you
Your answer should be A.
Answer:
The answer is C because both ordered pair when they are substituted into the equation, both sides equal to each other.
Explanation:
All you do is substitute. (x,y)
A:
Substitute
11 = 8(1) + 3
Multiply the inside parentheses by the outside number
11 = 8 + 3
Add them together to get the solution.
11 = 11
Both sides equal to each other so that means that it is a solution to the equation.
B:
Substitute
-5 = 8(-1) + 3
Multiply the inside parentheses by the outside number
-5 = -8 + 3
Add them together to get the solution.
-5 = -5
Both sides equal to each other so that means that it is also a solution to the equation.
D:
Both ordered pair gives you an equal solution to both sides.
which statement about the data set is true? (600,612,614,615,620,630,643,644,656)
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
Median = the middle value in the number set
So yes this is an appropriate measure of center.
Mode = the most common value in the number set
Since this can be any number, this isn't an appropriate measure of center.
Mean = average
So yes this can also be an appropriate measure of center.
(X+1)-(-2x - 5)
Help
answer: 3x + 6
x + 1 + 2x + 5 = 3x + 6
remember to first distribute the negative to both terms in the second parentheses which makes the 2x and 5 both positive and then just combine like terms . pls mark brainliest
Answer:
3x+6 is the answer
Step-by-step explanation:
Find the median
7,5,8,7,8,13
In order to find median, you have to line up the numbers from least to greatest and then find the middle.
Least to greatest:
5 7 7 8 8 13
Answer:
8 + 7 = 15
15/2 =
7.5
Answer:
the median is 7.5
Step-by-step explanation:
put the numbers in order from least to greatest which would be 5, 7, 7, 8, 8, 13
on a sheet of paper write them in order like above ^
then cross out each number on the end like this (you will cross them out, i am going to delete the ones that are needed to be crossed out.)
5 7 7 8 8 13
7 7 8 8
7 8
with 7 and 8 add them togethef and you should get 15.
Finally take 15 and divide it by 2 because there is two numbers in the middle and you should get 7.5
your final answer should be 7.5 for the median.
I hope thid helped <33
A salesperson makes a base salary of $2100 per month. Once he reaches $42,000 in total sales, he earns an additional 5% commission on the amount in sales over $42,000.
(1) Graph the function.
(2) If the salesperson had $80,000 in sales, how much was his salary?
(3) If the salesperson's total salary for a month was $4500, how much were his total sales for that month?
(4) Compute S(25000) and interpret what this means in the context of the problem.
Answer:
(1) Observe the attached image
(2) [tex]S = \$4,000[/tex]
(3) [tex]x = \$90,000[/tex]
(4) [tex]S = 2100[/tex]
Step-by-step explanation:
(1) Let's call S the salary for the month the seller wins.
Let's call x the amount of dollars reached by the sales of that month.
The seller earns a base salary of $ 2100 per month.
Then, if x> 42,000 he wins a commission of 5% on sales.
Then the equation modeling this situation is:
[tex]S =\left\{{{0.05(x-42,000)+2100\ if\ x>42,000} \atop{2,100\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ 0\leq x\leq42,000}}\right.[/tex]
The graph of the function is shown in the attached image.
(2) If x = 80,000, then your salary was:
[tex]S = 0.05(80000-42000) +2100\\\\S = \$4,000[/tex]
(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.
[tex]S = 4,500 = 0.05(x-42,000) + 2,100\\\\\frac{2,400}{0.05} = (x-42,000)\\\\x = \frac{2400}{0.05} +42,000\\\\x = \$90,000[/tex]
(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.
Then [tex]x <42000[/tex]
Therefore [tex]S = 2100[/tex].
Solve anyone plz it would mean a lot
➷ Go up from 2 on the x axis until you hit the line
Go across to see what value it hit the line at
This will give you the answer of $1
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
D is the answer
Step-by-step explanati
Help Please! Thanks so much if u do
Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $
Answer:
$65
Step-by-step explanation:
Let's add up the flat rate and the cost of four tires:
flat rate + 4($122.57/tire) = $555.28
We are to solve for "flat rate." First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total. Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.
Thus, the installation charge ("flat rate") must have been $65.
With an example, how do I explain what the graph of a rational function looks like. Explain it in terms of it being a line and why the line is shaped the way it is on the graph.
Answer:
Hi,
These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.
Step-by-step explanation:
Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.
Best wishes!
a snack company makes 3 batches of a nut mix using the recipe shown.
each batch contains a different total amount of mix.
how much of each type of nuts should be in each batch
full question not given...please resend
Answer:
Please include the "recipe" so we can answer the question :/
Cindy needs to work a total of 240 hours at her internship. Though she currently has 177.13 hours completed. How many more hours does Cindy need to complete her internship?
Answer:
62.87
Step-by-step explanation:
240-177.13=62.87
which of the following shows the prime factorization of 360 using exponential notation?
You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.
The prime factorization of 360 is 2^3 * 3^2 * 5.
You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360
Victor has $28 in his saving account and he will save $11 every week.Be sure include the expresion in your answer
Answer:
y= 11x+28, with y being the amount of money Victor has in his savings account and x being the amount of weeks that have passed
Step-by-step explanation:
Victor already has 28 dollars at the beginning so that will be the y-intercept, he'll save $11 every week so that must be the x.
Two lines, A and B, are represented by the following equations:
Line A: 3x + 3y = 12
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
It is (12, 4).
There are infinitely many solutions.
It is (4, 12).
There is no solution.
Answer:it would be infinalty many
Step-by-step explanation:
The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.
To determine the solution to the set of equations, we can solve them simultaneously.
Given:
- Equation of Line A: 3x + 3y = 12
- Equation of Line B: x + y = 4
To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:
Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:
3(x + y) = 3(4)
3x + 3y = 12
Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.
Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.
If a = 5i - 6j and b = -2i + 4j , find -3a + 2b
Answer:
-19i + 26j
Step-by-step explanation:
-3 (5i - 6j) + 2 (-2i + 4j)
Distribute/multiply the -3 to everything in the parentheses
-15i + 18j + 2 (-2i + 4j)
Distribute/multiply the 2 to everything in the parentheses
-15i + 18j -4i + 8j
Combine like terms
-19i +26j
I need help, I need the help for today please
Answer:
oof, that looks hard
Step-by-step explanation:
Answer:
Divide area by 2
Step-by-step explanation:
the two triangles are half of the paralleogram.
shelby needs 4/8 of a cup of oatmeal for each batch if she wants to make 7 batches how much oatmeal will she need
What is the sum of the arithmetic series below 2+5+8+...+56
Answer:
551
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex]( first + last)
The number of terms is
[tex]a_{n}[/tex] = a + (n - 1)d ← d is the common difference, a is the first term
d = 5 - 2 = 8 - 5 = 3, hence
2 + 3(n - 1) = 56
2 + 3n - 3 = 56
3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19
[tex]S_{19}[/tex] = [tex]\frac{19}{2}[/tex] ( 2 + 56 ) = 19 × 29 = 551
In this figure, ABC is circumscribed about OQ. find the perimeter of ABC.
Answer options: 66, 58, 54, 62
Answer:
the answer is 66
Step-by-step explanation:
Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.
Two tangents DB and BE are drawn to a circle from one point i.e.B
So, Using theorem
DB=BE =10 cm
So, Using theorem
CF = CE = 15 cm
So, using theorem
AD =FA = 8 cm
Now AC = FA+CF = 8+15=23 cm
CB =BE+EC = 10+15=25 cm
AB = AD+DB=8+10=18 cm
Perimeter of triangle = Sum of all sides
=AB +CB+AC
= 18 + 25 +23
= 56 cm
Hence the perimeter of ΔACB is 56 cm